diff --git "a/data/dm_maths/full_data_2/10213_11255.jsonl" "b/data/dm_maths/full_data_2/10213_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10213_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -33 - 82 - 41 = 156*a. Let o = 364 - 7646\/21. Sort a, 0, -2\/3, o.\nAnswer: a, -2\/3, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -12*j + 13*j. Let o be (-3 + 4 + j - -4) + -14. Calculate the least common multiple of 1 + 4\/(-10)*o and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3262 + -5?\nAnswer: -3300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-2))\/(-1))\/((-43)\/30702*-63)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/51 + -55\/102. Let k = -8.9 - 26.6. Let c = -35 - k. What is the second biggest value in c, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 h when three letters picked without replacement from {z: 6, c: 1, h: 4, l: 1, a: 1, g: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8*((-413)\/4)\/(-7). Let a = x + -184. Let q = -43 - a. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from ropwiodwrdooo?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 4*o + 81, -v + 35 = -2*o + 6*o. Suppose 5*p - 63 = -v. Let y(f) = 2*f**2 + 6*f - 6. Let i(n) = n**2 + 4*n - 4. Calculate p*i(d) - 5*y(d).\nAnswer: -2*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + k**5 + (-k**2 + 2*k**2 + k**2)*(0*k**2 - k**3 + 0*k**2) + 6*k**5 + k**5 - 2*k**5 + (0*k + 2*k + 0*k)*(-3*k**4 + 2*k**4 + 2*k**4).\nAnswer: 6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 7*j - 2*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 1 = -5*t, -2*t - 4*w + 24 = 2. Suppose c + t = -3*n, -n - c + 1 = -0. Let p be (-7)\/n + 5\/10. Put 1, p, -4 in decreasing order.\nAnswer: p, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 32368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 12*m**2 - 4*m + 10. Let g be p(2). What is the greatest common divisor of g and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*u + 19*u = 126 + 225 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 10*z = -3*h - 14, -h = 5*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213 - 144 = 1986*t - 2003*t for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f + 4*f + 7357*f**3 + 12890 + 12895 - 25785 to the form b + l*f**3 + s*f + h*f**2 and give l.\nAnswer: 7357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.0965*0.2\nAnswer: -0.0193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 1662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -126954\/1453 or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 11325 = 4*a, 4*n = -2*a + 14622 - 5568. Suppose n + 716 = 13*m. What are the prime factors of m?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.36, -8, -4, 4\/341, 0.3 in ascending order.\nAnswer: -8, -4, -0.36, 4\/341, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*m - 6 + 26, 5*c - 2*m - 26 = 0. Suppose c*v - 683 + 215 = 0. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*y = -271*y - 2960 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(432) - sqrt(432))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.07684 * 0.04\nAnswer: 0.0030736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29890*o - 76 = 29909*o. Suppose -2*c = 2*c - 24. Let j(f) = -2 - f**2 + 0*f**2 + 0*f - c*f. Calculate j(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50643 - -6?\nAnswer: -50636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 162, -0.3, 5, -4, 1.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -2210783?\nAnswer: 2210782.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 6*j**2 + 10*j - 10. Calculate d(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 5:22 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6*c - 14. Let z be k(2). Let n(h) be the second derivative of -h**5\/10 + h**4\/12 + h**3\/6 + 3*h. What is n(z)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 11:03 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001001111100111110010110001 - 10?\nAnswer: 100001001111100111110010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2 + 214*g - 423. Calculate o(105).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 2. Let z be 2\/(6*2) - (-690)\/828. Suppose -8*v + 40 = -4*v. Solve -4*b + m = -z, -l*b - m - 2 = -v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 + 633*z + 1316. Let a be u(0). Calculate the greatest common factor of 8225 and a.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/180 and 31\/81210?\nAnswer: 487260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 24. Let t be j(-15). Solve t - 34 = -5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1577 * 10.861\nAnswer: -17127.797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 20271030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -6*b**2 + 5*b + 1. What is m(5)?\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 + 25*c**2 - 24*c - 13. Give x(-13).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(-7*f - 8*f + 5*f).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 165 = -22*i + 8*i + 13*i + 2*i, -3*v + i - 91 = 0 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/((-147)\/14) + 8\/6. Suppose -5*r + 3*p = 11, 2 = l*r - p + 7. Is r - ((-1443)\/1 + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/10 - (-11)\/55.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014715 to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 - -171. Let g = w - 68. List the prime factors of g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430187?\nAnswer: 31, 13877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.780719 rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-213145 + i + 213145 - 1086*i**2 - 2*i**3)*(3*i - 6*i + 5*i)*(2 + 0 - 4).\nAnswer: 8*i**4 + 4344*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3169 + 3161.966. Let p = -7 - q. Round p to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 105208164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2.02 - -4\nAnswer: 6.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 + 10*q. Let r be k(-10). Let v be 3\/12 - (-63)\/r. Is 1 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 22 + -12 + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - 8*(3 + (-19)\/4). Suppose 9*c - i - 5 = 0. Determine m, given that -15*m**c - 7*m + 45*m**4 + 52*m**4 - 3*m - 92*m**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7441162.\nAnswer: 2, 3720581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 4049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1801460 to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.39 * 60.7\nAnswer: 23.673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(150)*-4)\/sqrt(5))\/sqrt(6))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/3 - -1. Let v = -16 + 14. Let j = -0.172 - -1.172. Which is the closest to j? (a) o (b) v (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -27*u - 2. What is l(-2)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 17791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7548063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 256783?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 6, 19, 50, 105?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*t = 7*n - 104*t - 80, -3*n = 2*t - 45 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40158 divided by -3.\nAnswer: 13386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - p**3 - 43*p + 12*p + 30*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -13.6 (b) 0.3 (c) -1\/3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 7 + 2 + 8 + 1 - 1866*u**2 in the form y*u**2 + b*u + o and give y.\nAnswer: -1866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 142, 216, 292, 370, 450, 532?\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -207611 - -131302. Let m = 264831 - c. Let r = 851140 - m. Round r to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 14*g**2 - 7. Suppose 0 = -x - x + 14. Let i be u(x). What is i rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4597, -7641, -10685?\nAnswer: -13729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37988 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**4\/3 - 84215590*m**3\/3 + 118204482794515*m**2 - 1418452782947260*m\/3 + 1418452446084980\/3 = 0?\nAnswer: 2, 8421557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*x**2 + 7*x**3 + 1709 + 19198*x - 19193*x + 1308 - 339 with respect to x.\nAnswer: 21*x**2 + 66*x + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/6 and 0\/(-2) - (-201)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6789 + -6781. Solve -18*n + 30 = -o*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2. Let y(l) = -1890584*l**2 - 224*l. Calculate y(b(o)).\nAnswer: -1890584*o**4 - 224*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9976435\/1474 + 1279\/134. Let x = -6773 + r. Calculate the common denominator of (85\/(-6))\/(-1 - 0) and x.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15832895 times -0.03?\nAnswer: 474986.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p + 12. Let s(h) = -h + 4. Let m(u) = -4*g(u) + 11*s(u). Let y be m(7). Solve 1 = -y*t + 4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 12:53 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 127, 1022, 2, -2\/3, -0.1, -4, 5\/2?\nAnswer: 1022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64\/3301065 or 1?\nAnswer: 64\/3301065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -185, -411, -727, -1133?\nAnswer: -1629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/11013?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.119 - 0.119. What is the second smallest value in -0.09, g, -0.5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131.7*-51.\nAnswer: 6716.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9093 (base 13) to base 3.\nAnswer: 1000021210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*w + 564, w + 4*w - 573 = -a. Let b = w - 49. What are the prime factors of b?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(3\/11)\/j*j*j\/j**9*j)\/(j**(-3\/26)\/(j\/(j**26\/j)*j)))**1 assuming j is positive.\nAnswer: j**(-8469\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 6*r - 2. Let b(c) = -c + 12. Let g be b(6). Let o be q(g). Let i = o + 6. What is the remainder when i is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/187 - -367\/1309. Which is the third smallest value? (a) 3 (b) l (c) -2\/9 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 4*k + k)*(53 - 53 - 35)*(-7 + 3 + 3).\nAnswer: -105*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -3, -42872 in ascending order.\nAnswer: -42872, -20, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 18 + -22 + (8 - -25)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*i - 9759, -2*y + 5*y = -i + 9769. Suppose -866 = -4*p + y. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4068 - 2280. List the prime factors of w.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 divided by 3?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 584 and 3358?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 427 + -402. Calculate the remainder when 749 is divided by z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -17, 5, -29 in descending order.\nAnswer: 5, -4\/7, -17, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 7*f**2\/2 + 3*f + 11. Let u be t(2). Let c = 22 - u. Solve c*v = 4*d - 4, -2*v + v - 4*d = -4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 157*h - 1. Let o be q(1). Let a = 1 + 2. Is (o + a)\/3*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 36*p - 32. Let u be t(-34). Let o be 48\/(-14) + 3 - u\/63. Let y = -4 + 4. Which is the nearest to o? (a) -1 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 96 = -0*j - 4*j, 5*m - j + 196 = 0. Let g = 40 + m. Suppose g = -19*h + 17*h. Solve 4*b - 3*s + 12 + 13 = h, -5*b - 11 = 3*s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**6\/120 - m**5\/10 - m**4\/4 + 7*m**2. Calculate a(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9490, -13257, -17024, -20791, -24558, -28325?\nAnswer: -32092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, i: 5, s: 3, a: 5}. Give prob of picking 2 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 4:06 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, e: 7, c: 3, x: 3, j: 3, d: 1}. Give prob of sequence cc.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/5*1\/(-12). Let w = f - -4\/5. Put w, 2, 0.3 in decreasing order.\nAnswer: 2, w, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, k: 2, c: 11}. What is prob of picking 2 c?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 317, 368, 419, 470, 521?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**7\/7 - 8*r**6\/15 - 3*r**5\/5 + r**3\/3 + 2*r - 4. Let i(a) be the first derivative of g(a). Factor i(x).\nAnswer: -2*x*(x + 1)**3*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/21 - 19\/(-3). Suppose -y*w + 6*w = 0. Suppose -p - 5*q + 129 = w, -p - 3*q + q + 141 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 2:08 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20422284.8 rounded to the nearest one thousand?\nAnswer: 20422000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*a)*(3*a**4 - 4*a**4 + 3*a**4) - a**5 - 2*a**5 + a**5 - 8 - 7 + 2*a**5 + 1.\nAnswer: 4*a**5 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30047 - 30042. Let a(c) be the first derivative of -c**3\/3 + 2*c**2 - 7*c + 1. Determine a(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -12, -3, 6, 15?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**3 - 2*o**2 - 1. Let x be c(2). Let y = 86 - 89. Let k be (-2)\/3 - x\/y. Let r(z) = 4*z + 4. Let p(s) = s + 1. Determine k*p(t) + 2*r(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfguzsu. Give prob of sequence fs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/5, 195\/2, 2\/3, -5, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -179 - -255. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 186.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1339091894?\nAnswer: 2, 7, 1153, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -499.\nAnswer: -5\/499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26*n**2*v**2 + 407770*n**2*v + 88430772*n**2 wrt v.\nAnswer: -52*n**2*v + 407770*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247350376 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-8)\/(-6))\/((-578)\/(-867))*22\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v - 2. Let k be i(6). Let c be 1\/(((-15)\/372)\/5). Let l be (-12)\/(-18) - c\/3. Calculate the highest common factor of k and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vivecvecigiiicicgivc. Give prob of sequence civg.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*6*9\/(-324)*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 16*c - 243. Let o be n(17). Let i be 256\/28 - 2\/14. Solve -4*q + i*y - 4*y - 37 = 0, -3*q + 4*y = o for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.5. Let p = -7 + 163\/23. Suppose -5*t + 11 = -3*c - 0*c, 1 = c + 3*t. What is the nearest to r in p, c, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16677 or 16669?\nAnswer: 16677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 694 - -1156. Let m(z) = 3727 - r + z**2 - 1859 - z**3 + z. Give m(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 358342 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 3*j - 21. Give p(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 263 - 185. Let b = t - 309\/4. Is b smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3429 and 6372999?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ididdiiiidddidiiddi. Give prob of picking 4 d.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 3868*a - 3864*a + 14, -5*b - 2*a = 25 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*y)*(-11 - 13 + 13 - 1).\nAnswer: -36*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 + 1)*(0 + 0 + 3*w**2) + (-4*w - w + 4*w)*(151 - 151 - 83*w) as g*w**2 + p + q*w and give g.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1561 = -5*u, -m = -7*u + 6*u + 313. What are the prime factors of u?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102333221 (base 4) to base 6.\nAnswer: -1400105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*a**2\/7 + 758*a\/7 - 688\/7.\nAnswer: 2*(a + 43)*(9*a - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 10:16 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/8)*w*w**(-1))\/(w**(2\/3)*w)**(-2) assuming w is positive.\nAnswer: w**(83\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 7 - (-3 - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15496 divided by -2250.\nAnswer: 7748\/1125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -250754624*b**2 + 182568113*b.\nAnswer: -501509248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**5\/3 + 130*r**4\/3 + 266*r**3\/3 + 134*r**2\/3.\nAnswer: -2*r**2*(r - 67)*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2708639?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 701698.2s?\nAnswer: 701698200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 6*i**2 + 6*i - 5. Let a = -9 - -9. Let c(m) = -m**2 - 4*m + 5. Let y be c(a). Calculate n(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 2173*l**5\/30 - l**4\/24 - 7*l**3\/6 - l**2. Let f be d(5). Let j = -47638 + f. What is j rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 111 = 2*q + 127, -4*m + q = -309. Let k = m + -70. Calculate the highest common divisor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262319427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1321089\/(-19866))\/((2*(-7)\/(-10))\/(-2)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -1. Let j = 4 - v. Suppose -5 = -c - r, j*c + 0*r - r = 3. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4925 - 2597. What are the prime factors of p?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4988850.\nAnswer: 2, 3, 5, 79, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 59\/2 (b) 68362 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 23*t + 54. Determine j(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x**3 + 4*x**2 + 3*x + 2. Let f be z(-1). Sort 4, -1, f.\nAnswer: f, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -407, -845, -1283?\nAnswer: -1721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1320.765 centimeters?\nAnswer: 0.01320765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -5.33.\nAnswer: -5.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/20 and -43\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 122 + 955. Let y = -279 + z. Let f = y + -797.999999006. Round f to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -0.058442.\nAnswer: -0.458442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 7. Suppose 4*q + 8*u - 30 = 3*u, 0 = -z*q + 2*u + 44. What is the greatest common factor of 50 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 670 and 7580?\nAnswer: 507860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 31*i**2 + 1921*i - 59. Let w be s(-62). Suppose -36 - 36*t - 12*t**2 - 4\/3*t**w = 0. Calculate t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 9*w + 9. Let c(d) = -d**2 + d. Let o(k) = -2*c(k) + x(k). Is 9 a factor of o(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (56 - 27 - 27 + 2*z)*(-98 - 75 - 5*z - 101) in the form a*z + d + m*z**2 and give d.\nAnswer: -548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*l - 12648 = -7*l. Let r = l - -437. What is the remainder when 86 is divided by r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(-4*sqrt(2)) + sqrt(39))\/(-5*sqrt(3)*-1).\nAnswer: 3*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 674.96274 milliseconds to days.\nAnswer: 0.00000781206875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (4 + 0)*-1. Suppose 2*w = -v - 2 + 6, 2*w = -g*v + 14. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45\/56 + -951\/280. Which is smaller: -5 or w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 4 (b) 3\/2 (c) 0.04 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -324 - -329. Calculate the greatest common factor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -265 - ((-3)\/5 - 24\/(-40)). Let p = t - -261. Sort p, 0, 4 in increasing order.\nAnswer: p, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153 and 408.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -9*u + 5. Let p be q(-7). Suppose -p - 440 = -4*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 4823 = -623. Calculate the common denominator of -61\/8 and 1\/5 - 5055\/a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/(3\/(-36))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 3:13 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (400\/(-64))\/(9\/(-26100))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23459140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/1134 and 53\/3834.\nAnswer: 80514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 3, 6, 4, 1 in ascending order.\nAnswer: -27, 1, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ab55 + 25?\nAnswer: ab7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 1. Let b = 46 + -20. Suppose -3*y + 2*g + 28 = 0, 5*y + g - 38 = b. Let j(z) = 14*z + 12. Determine y*u(l) + j(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 42037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 51 = -55 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h + 25. Give a(11).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 0*h - 2*h - 4)*(1 - 58*h**2 + h - 10*h**2 - 159*h**2) to q*h**3 + v*h + f + a*h**2 and give q.\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1499 + 4*f + 2*f - 3*f.\nAnswer: 3*f + 1499","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 2*p, 106 = 7*m - p + 76 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, -20, -2\/15, -39?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -18. Let k = s + -1.1. Which is the nearest to k? (a) 6\/11 (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2\/2*(-2 + 11) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 457451 + -4?\nAnswer: 457445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28772 is divided by 3865?\nAnswer: 1717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21377019 is divided by 4912?\nAnswer: 4907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144039 is divided by 160?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2 = -0, -x + 5 = 2*y. Let j(z) be the second derivative of -z**3\/2 - 19*z**2\/2 - 3*z. What is the least common multiple of y and j(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1050177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2416 and 14?\nAnswer: 16912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Suppose -g*z + 4*x = 12, x = -5*z - 3*x - 2. Let m = 10 + -13. Sort 4, m, z in ascending order.\nAnswer: m, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -1872?\nAnswer: 748.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 2:13 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t**5\/8 + 61*t**4\/8 + 437*t**3\/4 = 0. Calculate t.\nAnswer: -38, -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52642 + 5778*f - 52642 to the form j + g*f and give g.\nAnswer: 5778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 5*w**2 + 5*w. Let a = 1443 - 716. Let g = a - 723. Give z(g).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 348202?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 0 + 1 + 0 + 2*c - 7. Let j = -19 - -23. Suppose -4*g + j + 12 = 0. Let d(m) = -m + 5. What is g*t(s) + 5*d(s)?\nAnswer: 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-266*h**2 + 671*h**2 + 2 - 279*h**2)*(0*h**2 + 4*h**2 - 2*h**2) to the form x*h**2 + b*h**4 + p + c*h + u*h**3 and give b.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 3*f - p = -114, 5*p + 10 = 0. Suppose -4*t + f = 2*s + 1, t - 4*s = 7. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100110110010000 (base 2) in base 8?\nAnswer: 646620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (210\/(-280))\/((-420)\/(-32)) - 1\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -243, -478, -841, -1374, -2119, -3118?\nAnswer: -4413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109 + 177. Let u be j\/(-238) - (-37)\/7. Let p be (-4)\/(-6)*1*3. Solve -2 = p*y + 4*z, z = -u*y - 5 - 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/((8\/34)\/(-4)). Suppose -3*f = -f - 8. Let a be 2 - 60\/(0 - f). Calculate the highest common divisor of u and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from oooooooooooooojooooo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5846 + -200?\nAnswer: -6046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6400?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5303*f**2 + 1652*f**3 + 5303*f**2 - 1650*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0046 and 8120.\nAnswer: 8119.9954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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 y be 43 + 2 + 1 + -1. Suppose 0 = 2*g - y - 183. Suppose 3*j = 6*j - g. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2. Let w be (-1 - 0)*-1 + z. Suppose -w*v + v = -33. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 20*m**2 + 73*m - 617. Give q(20).\nAnswer: 843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18397*n**3*x**3 + 10*n**3*x**2 + 12*n**3*x - 8*n**2*x**2 + 2*n**2 - 8*n*x**3 wrt x.\nAnswer: 110382*n**3 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14742 + 21206 = 86*z. Let n = 112 + 304. Is z at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {r: 5, y: 14}?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1070, -2, 27 in increasing order.\nAnswer: -1070, -2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1327 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 8:38 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -123, 347, 220 in ascending order.\nAnswer: -123, 0, 220, 347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -14?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -5. Let i(o) = 2*o - 1. Let h be i(x). Let l(r) = -2*r**3 - r**2 + 2*r - 1. Let a be l(h). What is the highest common divisor of a and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*sqrt(1200))\/(sqrt(4) + (sqrt(64)*-3 - sqrt(4))).\nAnswer: 20*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 1612*s + 22174. Give c(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5229187 is divided by 3216.\nAnswer: 3187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 1\/75*k**6 - 2\/15*k**3 + 0 - 1\/5*k**2 + 1\/25*k**5 + 0*k**4 - 2*k. Determine t so that n(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**2)**(4\/3)\/(a**(-2\/5)*a)**(6\/7) assuming a is positive.\nAnswer: a**(122\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -6. Let b be 0\/((-16)\/(-4)) - (1 - 1). Sort b, -7, d in ascending order.\nAnswer: -7, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-405)\/57 + 32\/(-57).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**3 + 5*w**2 - 104*w. Let j(c) = -11*c**3 - 10*c**2 + 207*c. Let s(u) = 2*j(u) + 5*t(u). What is the second derivative of s(k) wrt k?\nAnswer: 18*k + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*t = -2*f + 197, 3*f - 4*t - 295 = 0. Let l = f + -193\/2. Factor -1\/4*o**2 - 3\/4*o - l.\nAnswer: -(o + 1)*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*n + 2 - 2)*(3 + 1 - 2) + 3*n + n - 6*n)*(1 - 1 + 3)*(n + n**2 - n + (-4 + 3 + 2)*(0*n**2 + n**2 + n**2) - 16*n**2 + 15*n**2 + 44*n**2).\nAnswer: -828*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 11582*p.\nAnswer: -2*p*(p + 5791)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -7*z**2 - 583*z + 423. Let q be i(-84). Solve -4*f = 3*t + 12, -q*t - 4*f = -4*t + 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**9\/x)\/x**(2\/25)*(x\/x**(1\/7))**(-20))**24 assuming x is positive.\nAnswer: x**(-38736\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - -0.8. Let a = x + -0.5. Let d be (-52)\/(-18) - 1 - 2. What is the smallest value in d, -2\/17, a?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.0204 + 2.0204. What is the second biggest value in -18, -0.1, 0.4, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8955 is divided by 55.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61 - -15. Calculate the greatest common divisor of 19 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from mssmmmomgsom?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/65965935 and -44\/21?\nAnswer: 65965935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 5*m + 5 = 3*b, -2*b + 4*m - 4 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 25*f + 9 = 30*f, 4*p + 4 = 4*f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - 8918\/(-208)) + (-24 + 4)*1?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 3*s - 18. Suppose -3 + 9 = s*m. Suppose 3 + 3 = 3*r. Which is bigger: r or m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*g + 8 = g, 4*g + 24 = -3*s. Let i be 96\/s*(0 + -2). Let v = i - 22. Solve -x = v*x + 4*t - 2, -4*t = -8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -787, -1558, -2329?\nAnswer: -3100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -2*o**7\/105 + 7*o**3\/6 + 6*o**2. Find the first derivative of k(f) wrt f.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30891?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(1 + 0\/2). Let w be ((-1)\/j)\/(3\/18). Differentiate 1 - 3*p**4 + 4*p**4 + 0 - w*p**4 with respect to p.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 59. Suppose j = 3*v + s, -65 = -5*j - 2*v - 0*v. What is the greatest common factor of j and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 9 + (3 + 1)\/1. Suppose 2*g = -0*u - 4*u + 2, -5*g = 4*u + t. Which is the closest to -1? (a) 1\/6 (b) g (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 + 30 + 37 - 2*x**4 + 2*x + 120*x**3 + x**2 - 89 to the form q*x**3 + z*x + d*x**2 + u*x**4 + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/103 at least -3596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 6. Let h be 9 + k - (1 + 0). Let t = 14 - h. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 88*q - 87. Let u be v(9). Let i = u + -2819\/4. Let o = 2.95 - -0.05. Which is the second smallest value? (a) 3\/2 (b) o (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 29505?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143, -11, 0.3, -50, 1\/2, -1 in ascending order.\nAnswer: -50, -11, -1, 0.3, 1\/2, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*(1 + sqrt(245)))**2 + 2 - (-5 + ((-1*sqrt(405))**2 + -4 - ((sqrt(405) + 1)*-4)**2)).\nAnswer: 344*sqrt(5) + 7086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51277?\nAnswer: 47, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 88766755 - -0.4?\nAnswer: 88766755.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -1. Let x = -8.8 + 8.3. What is the closest to 1\/2 in -4, x, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*a - 0. Let k be (-2)\/(-4) + a\/2. Solve 2*w - k = -q, 4*w = -q - 2*q - 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 21 = 5*r. Let z(g) = 4*g**2 + 10*g + 15. What is the tens digit of z(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 135 - 135.1. Let k = 3 + -3.9. Let x = k + 0.5. Which is the biggest value? (a) x (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210800 divided by -5270\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*q - 50 + 3*q**2 + 50 to d + l*q + z*q**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 123 - 200. Suppose -b - 378 = 13*b. Let g = b - a. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/(-18))\/(270\/405). Put -3, 713, -6, p in decreasing order.\nAnswer: 713, p, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.21 - 1.11. Let y = x + 0.6. Let w = 0.0245 - -1.9755. What is the closest to -1\/4 in w, y, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23.5299 - 28.5299. Suppose -5*i + 575 = -2*k, i - k + 230 = 3*i. Sort m, 2, i.\nAnswer: m, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 6. Suppose 0 = 4*k + 2*g - 72, 4*g + 0*g + 60 = 4*k. Suppose k = 2*o - v. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/271 and (-361)\/(-40) + 2\/30*-6.\nAnswer: 2168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 4492?\nAnswer: 40428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - w = -31, 339*w - 344*w + 80 = -5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, d: 2, v: 1}. Give prob of picking 1 y and 1 v.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156290021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 169. Let z be 166\/200 + 123\/k. Which is greater: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + 201?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 9) to base 8.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146 (base 15) to base 6.\nAnswer: -1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/(-10) + 1)*(5376\/(-126) + 42)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + l + 18. Let k be h(0). What is the remainder when 33 is divided by (24\/(-12))\/((-4)\/k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3570 + 7599. List the prime factors of j.\nAnswer: 3, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -11. Let h be (d + 0 - 303)*-1. Suppose -5*j + 10 + h = 0. Is j a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l = 12. Let i be l\/6*2*-15. Suppose 2*s + 4*o - 10 = 0, s + 2*s - 4*o - 5 = 0. Calculate the highest common divisor of i and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3859725201 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g + 3037 + 2654. Is 70 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 * 0.362\nAnswer: 11.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155864 is divided by 38962.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 201 = -63. Calculate the highest common divisor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t. Let o(c) = 3*c + 8. Let h(p) = -9*p - 24. Let j(x) = 1. Let u(w) = h(w) + j(w). Let f(g) = 8*o(g) + 3*u(g). Determine f(m(k)).\nAnswer: -3*k - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2 (b) -1 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 9*u - 6. Let m be p(-7). Suppose -18 = -5*r - m. Let l(o) be the first derivative of 2*o**2 - 3*o + 2. What is l(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -104 - -104. Let w*p**2 + 1\/2*p**3 - 1 - 3\/2*p = 0. Calculate p.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l = 3*l + 308. What is the hundreds digit of (-3089)\/(-7) - (-6 + 176\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 27. Let d = -486 + 469. Let z be (-8)\/(-28) + d\/(595\/(-8320)). What is the greatest common divisor of n and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -3*v + 2*d, -5*d = v - 2*d + 3. Suppose 0*l + l + 3 = 0, -3*x - 168 = l. Let b = x + 102. Calculate the remainder when b is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*i + 1931*u - 1934*u, 19 = -5*i - 2*u + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 21. Calculate j(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 135980267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3.645879 weeks?\nAnswer: 2205027.6192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.15 + 0.05. Let h = 9 - 5. What is the smallest value in h, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m + 8 = 24*m. Let i(x) be the third derivative of -1\/24*x**m + x**2 + 0 + 0*x + 1\/6*x**3. Differentiate i(o) with respect to o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 17, 3, -0.6, -2.243?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48785437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -5. Let z(t) = t + 13. Let o be z(f). Let m be 7\/o + 4\/(-6). Sort -1\/6, m, 3.\nAnswer: -1\/6, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 69 - 32 = i, -5*p + 99 = i. Suppose -4*l = -p, -3*y - 4*l = -8 - 21. What is the second derivative of -5*n - y*n**2 - 10*n - 4*n**2 wrt n?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nthhttttjttthtjn. Give prob of sequence hnht.\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442217.\nAnswer: 442217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + ((-1314393)\/144 - 1) + -2. Let s = 9134 + t. Calculate the common denominator of -34\/7 and s.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*s - 2. Let t(d) = d**2 + s + 0*d**2 - 2*d + 0*d. Let f be t(1). Which is smaller: f or 21?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47\/1598*778 + 8\/68.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1, 0, 7, 20, 39, 64?\n\"Answer: 3*l**2 - 8*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/4)\/((-73882)\/(-636) + -118))\/(3\/(-10)).\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -115, -0.4, 5, 2, 1\/6 in ascending order.\nAnswer: -115, -0.4, 1\/6, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104 + -105. Let l(g) be the first derivative of 835*g**3\/3 + 1. Is l(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 396252 and 36?\nAnswer: 396252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2852 - 25631\/9. Find the common denominator of ((27010\/(-500))\/37)\/((-4)\/10) and m.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 232475.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1926516*f - 1812556?\nAnswer: -1926516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + -68. Calculate the common denominator of -19\/9 and (1\/(-2))\/(n\/86).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2 + 2733094*y + 2733092 = 0. What is y?\nAnswer: -1366546, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.2 minus 0.25?\nAnswer: 46.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 35, -134, -465, -970, -1661?\n\"Answer: -2*z**3 - 69*z**2 + 52*z + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82842802 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1479141811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56.101*20415.\nAnswer: -1145301.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 9:08 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290*l**3 - 175*l**3 + 20*l**3.\nAnswer: -445*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/11)\/k)\/k)\/(k\/k**14) assuming k is positive.\nAnswer: k**(134\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 1:10 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 1:26 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35010*r**2 - 35010*r**2 - 4*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -21.4. Which is the biggest value? (a) -1 (b) -4 (c) o (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3\/a)\/a)**14\/(a**(-3\/2))**(-5\/7) assuming a is positive.\nAnswer: a**(181\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 1\/3 (b) 38 (c) 25\/15839\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*r + 1414 = 0, 4*a - 1127 = -r - 2*r. What are the prime factors of a?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 536023.1 to the nearest 10000.\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10482*k**2 + 7680*k**2 + 315*k + 618 + 15*k**4 - 20631*k**2 + 1521*k**3 = 0. What is k?\nAnswer: -103, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 greater than or equal to 10700?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -55\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m + 80*m + 32*m + 774 = -12282 for m.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -119*o**3 - 3*o**2 - 4*o + 24. Let z(p) = -p**3 - p + 6. Calculate n(i) - 4*z(i).\nAnswer: -115*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 + 27*r + 46)*(3 - 1 - 1).\nAnswer: 27*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 500 (base 6) to base 8\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, g: 10, w: 8}. Give prob of picking 2 g.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2143434 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrryryyyrr. Give prob of sequence yyrr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**2)**(-5) assuming k is positive.\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(6\/(-14)))\/1. Let o(v) = -3*v + 3. Let g be o(z). Suppose -4*s - y + 37 = -s, -3*s + 35 = -y. What is the greatest common divisor of g and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 - 30498.6.\nAnswer: -30482.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/2 + 371*i**3\/2 - 550*i**2 - 736*i.\nAnswer: -i*(i - 368)*(i - 4)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (955 - 305*f - 955)*(-5*f**4 + 1 + 0*f**4 + 6*f**4 + f**2).\nAnswer: -305*f**5 - 305*f**3 - 305*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 173895448 by 7391.\nAnswer: 23528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - 31 - 202273*c + 124 - 26 - 40)*(2 + c**2 - 2).\nAnswer: -202273*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*x - r - 5, -4*r - 20 = 0. Suppose -2*n - 8 + 36 = x. Calculate the least common multiple of n and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -857565 or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2903486 or -0.2?\nAnswer: 2903486","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 4*a - 8. Let o be r(-6). Let j = 4 + 0. Solve -j*h - 12 = -o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31174? (a) -2\/25 (b) -1\/15 (c) -0.3 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (320 + 225 - 444)*(-3 + 2 - 1)*(-9 + 16*v**3 + 9) - 5*v**2 + 5*v**2 + 9*v**3 as k*v + b*v**2 + c + o*v**3 and give o.\nAnswer: -3223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + l + 1. Suppose 16 = 4*w, 0 = v + 2*v - 2*w + 53. Let s be 21\/5 - (-3)\/v. Suppose 2*q - j = s*j + 18, -3*j = -2*q + 10. Determine t(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*y + y + 5*c, 4*y - 2*c = 2. Let t(q) = 3*q - 3. Let g be t(2). Suppose 0 = f - g + 1. Solve -5*r + 2*w + 3*w - 10 = y, f*r = -3*w + 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/13? (a) -0.007 (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -22. Suppose 5*q + 3 = 6*a - 2*a, 3*q + 3 = 3*a. Sort y, q, 4 in increasing order.\nAnswer: q, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -552811, -552809, -552807, -552805, -552803, -552801?\nAnswer: -552799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169378?\nAnswer: 2, 11, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -812*j**3*l**3*u**2 + 356*j**3*l**3*u + 2*j**3*l**2*u**2 + 3*j**3*l**2 - j*l**2*u**2 + 3*j*u**2 + 4*l*u + 40*l wrt l.\nAnswer: -4872*j**3*u**2 + 2136*j**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 208 in decreasing order.\nAnswer: 208, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2335118 to the power of 1\/2, to the nearest integer?\nAnswer: 1528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.6 * 17259.\nAnswer: 303758.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 321, 680, 1039, 1398, 1757?\nAnswer: 2116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-2) + 8\/((-200)\/(-75)). Solve p*h + 5*y = -10, 2*y - 25 = -h + 6*y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8537000 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 14) + 2 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5658? (a) -3 (b) 1\/2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**5\/4 - 2*t**3\/3 + t**2 + 47*t. Let k be o(-3). Let l = k + 121. Solve l = a + 3*a - 4*z - 40, 0 = z + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + l + 2*l)*(3 - 3 + 2*l) - 34*l**2 - 49 + 49 + 28*l**2 - 12*l + 1 - 9*l + 20*l.\nAnswer: -2*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2515 and 45.3?\nAnswer: -113929.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 4:11 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164081 or 164084?\nAnswer: 164081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -14*w - 17. Let s(t) = 5*t. Let z(o) = 10*o + 1. Let g(a) = -11*s(a) + 6*z(a). Let d(n) = -17*g(n) - 6*k(n). Let h(y) = 3*y**2. What is d(h(u))?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-1))\/(8\/28 + 0). Let p = -3 - j. Suppose 4*w = 2*o + 276, p*w + 5*o + 135 - 425 = 0. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*k + 56*k + 14036 + 46620 = -228*k for k.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*v - 9, -5*v = -c + 248 - 235. Let z(w) = w**3 + 14*w**2 + 29*w + 53. Give z(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(((sqrt(85) - sqrt(85)*2 - sqrt(85)) + sqrt(85))*2 + sqrt(85))*-2)\/(3*sqrt(125)*-2*-5).\nAnswer: -2*sqrt(17)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qt when two letters picked without replacement from thqccqcrchhcquq?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56*o**4 - 2452*o**3 - o**2 + 230*o + 12062.\nAnswer: -672*o**2 - 14712*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-352)\/(-33)*(-1)\/3*(-702)\/104\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (5 - 4 - (-2 - -6)). Which is bigger: 0.53 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116561*q - 1006 - 1130 = 116537*q for q.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 219*m. Let k(r) = -33*r + 5. Let j(w) = 40*w - 6. Let l(x) = -5*j(x) - 6*k(x). Calculate l(a(i)).\nAnswer: -2*i**2 + 438*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19020 and 26460?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 - 1. Let f(o) = -2*o**2 - 1. Let j be -1*(0\/(-3) + 3). Let c be (-1 - j\/2)*4. Let h(w) = c*s(w) - 3*f(w). Differentiate h(g) wrt g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = -50*l + 19*l. Suppose -l*x = -4*z + 73, 12 = 4*z + 3*x - 21. Suppose -w + 90 = -6. Calculate the highest common factor of z and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 + 22*l**3 - 4*l**3 + 244 - 2*l**3 - 244.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -287*g**2*s + 10*s + 4 with respect to g.\nAnswer: -574*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y + 12. Suppose y - 14 = -4*a. What is the least common multiple of 3 and a\/8 - (-62)\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 - (-335 + 15\/3) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 99, 91, 85, 81?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhuu when four letters picked without replacement from hhhhhuhuuhhh?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 9*z - 35. Let j = 80 - 73. Is i(j) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5317*o - 5329*o - 36 = 0. Let a = -2 + 4. Let n be (4\/6)\/(a\/(-3)). Sort o, 4, 6, n in decreasing order.\nAnswer: 6, 4, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 2 + -5 + (-4 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**3 + 0*p**3 + 26*p**3 - 15*p**3.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4019921873 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 120?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2. Let i(u) = -u**2 - 87*u + 4*u**2 + 87*u. Calculate i(b(a)).\nAnswer: 27*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 8 = -5*j. Suppose -2*t + j*z - 134 = -340, -t + 88 = 4*z. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 989 divided by -3.\nAnswer: -989\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.43 - 1.42. What is the nearest to -0.1 in 1\/4, q, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -157, -155, -167, -199, -257, -347, -475?\n\"Answer: -k**3 - k**2 + 12*k - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urpyprrayprrpyruuyyp. Give prob of picking 1 r and 1 p.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -97610, -780960, -2635782, -6247814, -12202794?\n\"Answer: -97623*m**3 + 2*m**2 + 5*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 10 + 22 = 3*t, -2*v + 11 = 5*t. Let q(h) = h**2 + 6*h - 16. Give q(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 14. Calculate the highest common factor of 18 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2392197 divided by 797399\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*v - 4 - 6 + 5 + 5.\nAnswer: 93*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 9 - l - 11\/9*l**4 - 38\/9*l**3 - 1\/15*l**5 - 6*l**2. Factor s(u).\nAnswer: -4*(u + 1)**2*(u + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 - -150. Let h = 62.65 - x. Let y = h + -1.2. Round y to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 14*n - 11*n**3 + 18789 - 3*n + n**3.\nAnswer: -10*n**3 - 17*n + 18789","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 7*m**2 + 10*m + 76. Let v be o(16). Calculate the highest common factor of 20 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2\/9 + 18406376*k\/9 - 30677260\/3.\nAnswer: -4*(k - 4601589)*(k - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**2 + 2*p + 296*p**4 - 46 - 145*p**4 - 149*p**4 to z*p**4 + w*p + i*p**2 + s*p**3 + u and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1296 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -132, -2, -8, -1975.\nAnswer: -1975, -132, -8, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102 - 119.55. Let q = -13.8 - -13.85. Let k = q + w. Round k to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -44, -89, -134?\n\"Answer: -45*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*j - 1346 = 0, -5*y + 4*j + 481 + 1182 = 0. Calculate the common denominator of (-4)\/18 + y\/90 and (-460)\/154 - 2\/7.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 2*d + 20, -3*q - 6 = 4*d + 4. Suppose 3*l - 282 = -2*s, -s - 8*l + 136 = -4*l. What are the prime factors of -1 + -2 - s\/q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - 5 - -1)\/(3\/357). Do 118 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/7, -11, -253\/7?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uluu when four letters picked without replacement from luuduudff?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 3*z = -13*b - 1363, 0 = 10*b + z - 13754. What is the greatest common factor of b and 1125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 550 and 638.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.8189 - -1.686. Round x to 3 dps.\nAnswer: -0.133","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 4. Suppose -5*o + 556 = 2*r, -o - r = -4*r - 118. Let q = -107 + o. Suppose q*p + 0*n - 4*n = 12, -5*n - 15 = -3*p. Calculate y(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -569, -2351, -5329, -9509, -14897, -21499?\nAnswer: -29321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 68396158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -9 + 0*g**3 - 3\/8*g**5 + 0*g**2 - 2*g - 1\/112*g**7 + 1\/10*g**6 + 1\/2*g**4. Factor c(j).\nAnswer: -3*j**2*(j - 4)*(j - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.4567 decades in months?\nAnswer: 1734.804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 863 at most as big as 863?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -507.9755 - 0.0245. Let m = 504.59 + g. Let j = m + -0.09. What is j rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9.4 and -0.045392655?\nAnswer: 9.445392655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 7*o**4\/24 - 2*o**3\/3 - o**2. Let x(z) = 2*z - 19. Let u(y) = y - 23. Let r(s) = 4*u(s) - 5*x(s). Calculate -3*g(j) - 4*r(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44844945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**7\/2 + 6*w**6\/5 + 9*w**5\/20 - w**4\/2 - 4*w - 8. Let l(z) be the first derivative of x(z). Find s, given that l(s) = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 - 30. Let k = -15 + n. Let i(g) = g**2 + g + 1. Let l be i(k). Solve 0 = -3*y - l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65819004 by -222.\nAnswer: -296482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.10562 not equal to 0.993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r + 6*r + 8*r + 5*r**2 - 27*r.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**5\/120 - 7*y**3\/3 - 6. Let n(d) be the third derivative of g(d). Let w(r) = r - 3*r + 4*r - 4*r. Determine w(n(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) + (sqrt(126)*1 - sqrt(126) - sqrt(126)))\/sqrt(9))\/(sqrt(3584)\/sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(5))*-2 + 0 + (sqrt(15)\/(sqrt(27)*-4))**2.\nAnswer: -2*sqrt(5) + 869\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2242 and 788614.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 12*j + 11910. Let y be u(0). Round y to the nearest one hundred.\nAnswer: 11900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -y - 4*i + 165, 0 = 2*y + 5*i - 330. Is y a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 5. Let f = -3\/10 + 53\/110. Suppose -7*w - 12 = -3*w. Sort a, w, f.\nAnswer: w, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6735037463 - -1638.2358025537. Let g = 1564.909304 - w. Let b = -75 - g. Round b to 7 decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 5*o - 2*o)*(-4*o**2 + 3*o**2 - 3*o**2) - 9*o**3 - 3*o**2 + 3*o**2 to the form t + f*o + n*o**2 + h*o**3 and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8551 - -21659. What is the third derivative of 6*a - 82*a**5 - f*a**3 + 13108*a**3 - 5*a**2 wrt a?\nAnswer: -4920*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by (-23 - 1)\/(30\/(-40)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*x = 18. Suppose x*j + 1 - 61 = 0. What is the first derivative of 81*g**3 - j - 54*g**3 + 62 wrt g?\nAnswer: 81*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, 96, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 - -17. Let q = y - -36. Let t = 171 + -67. What is the highest common divisor of q and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 979.4227nm?\nAnswer: 0.0000009794227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 26*m + 10. Let c be t(7). Let g = c - 58. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -3*d + 30. Suppose -5 = -3*s - j + 2, -4*j = -2*s. Suppose k + s*t - d - 1 = 0, -3*k - 2 = -t. Is 1\/5 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 5:27 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 18 + 9. Let v = p + 26\/3. Put -0.5, -0.4, v in increasing order.\nAnswer: -0.5, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*t - 736 + 700. Solve -3*v = 4*j - v - 18, 4*j + t*v = 24 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1725581 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*n**2 + 54*n**2 + 22*n**2 + 22*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -8. Let z = -1847 - -1846.6. Which is the smallest value? (a) z (b) 3\/5 (c) w (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.312 and 0.026?\nAnswer: 0.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-95)\/(-15))\/(-19))\/(4\/24)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 44 = -0*c - c, -2*c + 3*a = 88. Let i = c + 155. What are the prime factors of i?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c + 3. Let o(b) = -20*b + 11. Let r(j) = -2*o(j) + 9*p(j). Let v be r(4). What is the closest to 2\/3 in 1\/5, v, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from ioio.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8027 - 8167.44. What is y rounded to the nearest integer?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 26 + 17)*(2*w**2 - w - 2*w - 2*w).\nAnswer: 6*w**2 - 15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 112 - 111. Let b(y) = -1. Let q(x) = 30*x - 28. Let u(j) = d*q(j) - b(j). What is the first derivative of u(c) wrt c?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 234870?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.051 - 4.949. Which is the fourth smallest value? (a) 2\/5 (b) s (c) -1 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -529, 12\/5, -5?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g = 19*g - 449317 + 95338. What are the prime factors of g?\nAnswer: 3, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6283723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 7206883 - 57179827. Let j = n + -72093236. Round j to the nearest 1000000.\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 10*f**3 - 10*f**2 + 2*f - 2. Let q be a(3). Calculate the greatest common factor of 128 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 8*b**2 + 47. Let a(q) = -2*q. Calculate z(a(o)).\nAnswer: -32*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + h**2 + h - 11. Let c be v(0). Let o = c - -43. Let b = -19 + o. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 521, 2012, 4497, 7976, 12449, 17916?\nAnswer: 24377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 10*a = -5*a + 2065, 3*b - a = 3130. List the prime factors of b.\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0492084 litres in millilitres?\nAnswer: 49.2084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 18 + 3*d - d + (2 - 2 + d)*(96 - 42 - 43) to l + o*d and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (168\/9 - -2)*-3. What is the common denominator of ((-2)\/6)\/(6\/d) and 8\/(-18)*(-59)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 205*h - 209*h + 5*b + 30, 5*h - 23 = -b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w = -38*w - 35*w - 649 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -8*s. Let w(a) be the third derivative of a**5\/20 + 26*a**2. Give w(j(l)).\nAnswer: 192*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10132 + 2*q**3 - 10132.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5\/18, 1, 22.9, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12681 divided by 4227?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 4*q. Let d be k(-3). Let j be (-1)\/((6\/(-4))\/d). Let o(s) = -2*s**2 + 2*s + 1. What is o(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 3*r**2 - 19*r - 18. What is the lowest common multiple of d(-5) and 60?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/43, 1, 2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 536546624 to the nearest integer?\nAnswer: 23163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*o - 27 = 0, 32 = -4*v - o - 3*o. Let f be v\/5 - (-88)\/(-220). Let p(g) = 0*g + 1 - g + 4*g**2 - 2. Let u(n) = -n**2 + 1. What is f*u(x) - p(x)?\nAnswer: -3*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - (-34 + 9)) + 6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + a - 203, 3*v - 170 = 2*a + 444. Calculate the highest common factor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 55892757*z - 57353854 wrt z?\nAnswer: 55892757","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w - 86*w + 588 = 88*w. Factor -1\/4*r**2 + w - 3\/2*r.\nAnswer: -(r - 2)*(r + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-14) - 1278\/(-63). Let j be ((-1)\/(-2))\/((-1)\/16). Let w = -3 - j. Solve -b = -5*y - 3*c, -17 = -3*y - c - w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9*m**3 + 4*m**2 + 3*m + 34. Let j be x(-4). Let b = 670 - j. Solve 24 - b = 5*k - 2*f, 5*f = -4*k - 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**10*u)\/(u*u*u\/(u*u**4)*u))\/((u\/u**(-5))\/(u\/(u*u\/((u**(2\/13)*u*u*u)\/u)*u))) assuming u is positive.\nAnswer: u**(93\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (-25)\/(-10) - 1612\/56. Which is smaller: -29 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 4)*(4*c - 1 - c - c).\nAnswer: -6*c + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - f**2 + 1. Let k(u) = -63*u**3 - 45*u**2 + 45. What is k(n) - 45*m(n)?\nAnswer: -18*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*m + 9 = 0, -2*m + 1 = f + 4*f. Which is the nearest to f? (a) 5 (b) 0.02 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2519693 to the power of 1\/2, to the nearest integer?\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 = -19*z + 58 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 656 - 176. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 9*b. Let h be z(7). Suppose 3*o - h = 2*o. Calculate the highest common factor of o and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-36))**(2\/87)*(f**(10\/7)\/f)**25 assuming f is positive.\nAnswer: f**(2007\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.02 - -0.02. Let j = -0.401 + 189.401. Let t = j - 188. Which is greater: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04016902 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 2:27 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*p - 62 + 80 = 0, 3*p + 33 = 4*n. Let r(q) = -q + 1. Let b be r(-4). Sort b, n, -4.\nAnswer: -4, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 6:12 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (16 + -7) - ((7 - -9) + 10).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(1 - (-96)\/(-3)). Suppose 2*h = 117 + g. Suppose 4*x + 1 = h. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*1\/(-2)*-38. Let q = 105 - 97. What is the remainder when x\/(-4) + 8\/16 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*b - 24*b + 72 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -1\/24*r**4 - 10*r**2 + 0*r - 2*r**3 + 0 - 1\/60*r**5. Let d = 17 + -17. Give b(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 9*d - 33. What is o(7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 360924 and 798?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3291 and 2739.\nAnswer: 3004683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -9*u + 189. Calculate p(20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -7*q**3 + 17*q**2 + 4*q + 2. Let s(u) = -20*u**3 + 50*u**2 + 12*u + 7. Let f(v) = -17*b(v) + 6*s(v). Does 13 divide f(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 12409.95?\nAnswer: -12408.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 0.6, 63, -3\/7 in descending order.\nAnswer: 63, 0.6, -2\/9, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -5\/4 (b) 4 (c) -22 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x, -l + 3 = x + 4. Let r = 3.2 + -0.24. Let j = r - -0.04. Which is the nearest to -1? (a) j (b) l (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68413 plus 15719?\nAnswer: 84132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c - 1. Let o(l) = -2 - 1 + 39*l + 35*l - 68*l. Let s be (-128)\/9 - 4\/(-18). Let i(z) = s*u(z) + 4*o(z). What is the derivative of i(x) wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.22 - -0.68. Let f = y - -0.1. Sort -2\/9, -4\/5, f.\nAnswer: -4\/5, -2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0.1 (c) 4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 11*o**2 + 2*o. Let w be h(-5). Suppose -w = -9*n + 5*n. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 133493780 and 16?\nAnswer: 533975120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20 + 25*b + 12 + 7*b + 41*b wrt b?\nAnswer: 73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1126300572 to the nearest integer?\nAnswer: 33560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 at most as big as -354\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -18*a**2 - 17*a + 17. Let l(o) = -o**2 - o + 1. Suppose 3*f = -3*g + 5*f + 310, -4*g - 3*f = -402. Give g*l(t) - 6*z(t).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.309 + 3.\nAnswer: 2.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-6))\/((-2)\/12). Let l = 4 + r. Let b be (45\/20)\/(9\/6). Sort -0.3, b, l.\nAnswer: l, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28*o**4 - 206*o*u + 41557*u wrt o?\nAnswer: -112*o**3 - 206*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 18964*o + 23322724.\nAnswer: (o - 17642)*(o - 1322)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 19*s + 6*s. Let w(y) = 7 + 7*y - 1 + 2*y**2 + 0. What is w(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*t + 683 + 1819, t = -2*o + 1661. Calculate the greatest common divisor of o and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 6*a**2 - 5*a - 6. Let q be c(5). Let f = -4 - q. What is the second derivative of 2*u**4 + u**2 - 39*u - u**f + 48*u wrt u?\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -987 - -1047. Calculate the greatest common divisor of 260 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*f + 4*f + 0 - 1)*(0 + 2*f + 0).\nAnswer: -32*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3524 - 14?\nAnswer: -3538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/14 - (-3)\/(-21). Suppose h + h + 10 = -4*b, 5*h + n*b - 7 = 0. Differentiate -2*v**3 - 3 - 7 + 3 - 6*v**h with respect to v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 25*o - 19. Suppose 0 = 2*r - 2*h + 44, 2*h = -6*r + 4*r - 52. Determine j(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 1)*(2 + -1). Let b = 2 - -5. Let n = -9 + b. Which is smaller: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p**2 - 16 + 6*p - 38*p + 34*p + 149*p**3 + 3*p**3.\nAnswer: 152*p**3 - 11*p**2 + 2*p - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -32*m**2 - 2. Suppose 0 = -4*c - x + 15, 8*c - x - 5 = 7*c. Let p(h) = 14129 - 14129 + c*h**2. Calculate f(p(r)).\nAnswer: -512*r**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from kkkkkkkjkkkkkkkkkkkk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 2\/4)\/((-8)\/(-240)). Let t(k) = -k**3 - 14*k**2 + 14*k - 10. Let b be t(f). Solve 3*m + m + 16 = -w, -5*w = b*m + 35 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**3 + 530140*v**2 - 8483264*v = 0 for v.\nAnswer: -132551, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, d: 1, x: 2, t: 1, i: 6, l: 1}. Give prob of sequence itd.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2. Suppose 0 = 3*c - 6*c + 6. Let t(a) be the third derivative of 0 - 1\/8*a**4 + 2*a**c + 0*a + 0*a**3. Determine z(t(r)).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 0.01386?\nAnswer: -3.01386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 57043026953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-741192)\/(-8722) - 85)*(-2 + 22\/4).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9785 and 3708.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(0 - 1 + 3)*(-7*p - 4 + 4) + 27 - 34*p - 27 + (5 - 3 - 1)*(-p + 0 + 0).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226546759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, t: 1, l: 1, d: 6, j: 2, z: 3}. Give prob of picking 1 j, 1 z, 1 t, and 1 l.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-4*(6*(sqrt(704) - (-3 + sqrt(704)*-2)**2) - (((0 + sqrt(704))*3)**2 - ((sqrt(704) + 1)*2)**2)).\nAnswer: -81864 - 1856*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-four fifths of a decade?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5576836.\nAnswer: 2, 1394209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -239\/6, 29, -0.2, 4 in increasing order.\nAnswer: -239\/6, -5, -0.2, 2, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24992400, -49984800, -74977202, -99969606, -124962012, -149954420, -174946830?\n\"Answer: -p**2 - 24992397*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.02\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**2 - n**2 - 5*n**2)*(1 + 0 - 2)*(10 + 2 + 37).\nAnswer: 49*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5212 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76576862*j**3 + 32670615*j**2?\nAnswer: -459461172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {a: 7, n: 6, q: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28500124 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000042242 rounded to 7 dps?\nAnswer: -0.0000422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/6*(-42)\/70. Let x = -1.49 + 0.99. Suppose 0 = -c + 5*c + 20. What is the third smallest value in x, y, -2\/5, c?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/5 (b) 4 (c) 0 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**3 + 73 - 62451*w**4 + 20 - 2*w + 2*w**3 + 62452*w**4 in the form f*w**2 + x*w + u*w**3 + t*w**4 + i and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/5)\/i*i*i)\/i**4*(i**1)**(5\/12)*(i\/((i\/(i*i**(1\/9)))\/i)*(i\/(i\/(i\/(i\/i**(3\/8)))))\/i*i)\/(i**(-4\/7)*i*i\/i**(-2\/3)*i) assuming i is positive.\nAnswer: i**(-8549\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5291*o**3 - 108*o**2 + 9. Let n(b) = 1563492*b**3 - 31908*b**2 + 2659. Determine 2659*j(r) - 9*n(r).\nAnswer: -2659*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -63, -1\/8, 46, 0?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 4:15 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - -20. Let t = u - 45.2. Sort t, -2, 2\/9 in increasing order.\nAnswer: -2, 2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-823)\/(-2)*(8\/(-4) - -4). Let u(v) = -2 + 2 - q*v - 2 + 0 + 820*v. Calculate u(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 8:46 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41.2 + -43. What is the third smallest value in -4, 1, -0.5, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 2. Let f = 2.5 - m. Let w = 0.4 - f. Is 0 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-329)\/(-376) + 2*2. Let k = a + -119\/24. Let d = -0.02 + 0.12. Sort k, 5, 3, d.\nAnswer: k, d, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372 is divided by 106?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufr when three letters picked without replacement from {r: 1, f: 2, w: 3, u: 3, k: 1, g: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 9 - (-10 - (-2 - 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -7 (c) -2\/5 (d) 3 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -0.4, -4, -128, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**2*v**4 - c**2*v**2 + v**5 - 10*v**4 - 11*v**2 + v wrt v?\nAnswer: 24*c**2*v + 60*v**2 - 240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -2e?\nAnswer: -2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*d - 12*d - 6, -14 = -w + 3*d. Let s be -2 + 12\/(2 + 0). Suppose -320 = -s*h - k, -42 = 3*h + w*k - 282. Is 40 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23719, 23721, 23723, 23725?\nAnswer: 23727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -20498*z + 20. Let c be k(-10). What is c rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1216\/(-266) + (-12)\/(-21) + 14 + -1. Let s be (1\/4)\/((-11)\/(-8)). Sort s, 1, o, -2\/7 in descending order.\nAnswer: o, 1, s, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 - 2)\/(-10) - 3. What is the fourth biggest value in 5, v, 1\/13, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/8)\/(2 - -1)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2818 + 2820. Is o <= 18\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -565, -1150, -1737, -2326?\n\"Answer: -z**2 - 582*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - r - 1. Let w(d) = -3*d**2 + 8*d + 3. Suppose 2*i = -0 - 2. Let g(a) = i*w(a) - 4*b(a). Give g(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**6*u))\/(u\/(u**(-1\/3)\/u)))\/(u**(-4\/5)\/((u**(-8)\/u)\/u)))**(-3\/20) assuming u is positive.\nAnswer: u**(139\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*(375\/10)\/25*4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**6\/720 - y**4 + 2*y. Let f(c) be the third derivative of r(c). Give f(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 + 5*m**2 + 5*m**2 - 12*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 738.503 - 739. Let h = y + -4.503. Let w be (4\/(-10))\/(9\/5). Which is the nearest to 0.2? (a) h (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-2 - 0) + 4 - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(180) - sqrt(20)) - sqrt(30)\/(-5*sqrt(12)\/sqrt(2)).\nAnswer: 9*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 1\/6, 0.551, 3\/5, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138*4.\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**3 + 3*l**2 - 4. Let u be x(3). Let y = 82 + u. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/12)\/(484\/1089 + (-106)\/36). Let u(d) be the second derivative of -1\/30*d**6 + 0*d**2 + 1\/12*d**4 + 1\/20*d**5 - 11*d - h*d**3 + 0. Factor u(w).\nAnswer: -w*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005217 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 8*f**6\/15 - 7*f**4\/6 + 13*f. What is the third derivative of x(p) wrt p?\nAnswer: 384*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -7. Suppose -a = 2*q + 1. Let b be -2*(1 + 1)\/q. Solve 5*z - 4*z = 4*i + 5, 3*i = -4*z + b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*6*(sqrt(275) + 0)*-6)**2.\nAnswer: -1800*sqrt(11) + 356425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231890*z = 231972*z - 1394 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 6.7?\nAnswer: 13.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11636 is divided by 11621?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113 - 59 = 2*m + 62 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16111? (a) -1\/4 (b) -4 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.79 + -31.92?\nAnswer: -31.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -13*g**6\/60 + g**5\/15 + g**4\/8 - 9*g**3\/2 - 4*g**2 + 9. What is the second derivative of q(i) wrt i?\nAnswer: -156*i + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 + 2*c**2 - 16*c + 104. Give i(6).\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 7*l - 4. Let u be k(4). Let r(s) = -s**3 + 8*s**2 + s - 1. Let m be r(u). Suppose -m = -x + 15. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - g = 66. Let r(a) = -3*a**3 - 3*a**2 + 1. Let v be r(-2). Let t(q) = q**3 - 13*q**2 + q - 7. What is the remainder when g is divided by t(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -634563160 by 158640790.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2941008\/17 or -172999?\nAnswer: -172999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 5, r: 7}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**3 + 2*s. Let m(q) = 6*q**3 + 5*q. Let w be (0 - -1)\/(5\/25). Suppose -v = w - 3. Give v*m(x) + 5*l(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 0. Suppose -b - l*b + 1452 = 0. Suppose 65 = 5*m - f - 751, -b = -3*m - 5*f. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10010 divided by -10.\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -21\/11 (b) -11 (c) 4\/3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 15*z - 40. Suppose 8*b - 4*b - 3176 = 2*l, z*b = -4*l + 3152. What is the remainder when b is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*d - 48*d - 17*d - 38*d.\nAnswer: -166*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -422 divided by 246\nAnswer: -211\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 20 + 24)*(1 - 2*p - 4 + p).\nAnswer: -28*p - 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19377033 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 17. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2802)\/(-66) + (10\/66)\/(640\/2304)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 35*d**3 + 4248835*d**2 - 15781910*d - 4855960 = 0.\nAnswer: -121399, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 663, 1334, 2007, 2682, 3359, 4038?\nAnswer: 4719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 72 = 30*g. Let b = g + 33. Let n = -21 + 50. What is the remainder when n is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r + 8978. Let h be v(-80). Which is smaller: h or 9299?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -32 (b) 0.1 (c) 0.071\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 126\/(-27)*(-27)\/21. Solve 0 = -16*j + a*j + 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, -2, -2701, 5?\nAnswer: -2701","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 - 2*m - 1. Let s be 3\/9 - 12\/9. Let n be t(s). Suppose -25 = -n*g - 2*g. Solve 4*u + 3*x = 14, -u + 0*u - g*x = -12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-28)*(-28)\/8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*y + 5, -4 = -y - 4*y + 2*l. Let q(k) = 5*k - 4*k + 4*k**y - 2*k - 8 + 9. Let w be q(1). Solve -r = w*v - 6, -v - 2*r + 6 = -4*r for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 202, -56, 212, -7.\nAnswer: -56, -7, 202, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 9800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -2. Let a = k - -28. Is 7 a factor of (-302)\/(-8) - (-3)\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*p**5\/2 - 13525567*p**4\/6 + 34015985*p**3\/6 + 21199927*p**2\/6 - 2328628*p\/3 + 37258 = 0. What is p?\nAnswer: -2\/3, 1\/11, 3, 37258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from ttttttttttttttntttt.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 16*p**3 - 32*p**2 - 32. Let z(t) = -t**3 - t**2 - 1. What is b(n) - 32*z(n)?\nAnswer: 48*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 23 = 27. Suppose -3*o = -6*x + 2*x - 134, -182 = -4*o + 2*x. Suppose -t - 168 = -p - o, w*t = -p + 122. List the prime factors of p.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 4*x - 176342 - 1508431, 0 = 3*r + 2*x - 1010899. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*-6*-1269*55\/(-8910)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from kxmxxjxkxxxk.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81540 by -4077.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**5 - a**2 + a**2 + (-3*a**2 + 0*a**2 + 2*a**2)*(a**3 - a**3 - 2*a**3) + (77*a**3 + a**3 + 125*a**3)*(-9 + 9 - 4*a**2).\nAnswer: -809*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 12*t - 8. What is y(-9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 1\/30*x**6 - 7\/3*x**3 + 0*x + 1\/5*x**5 - 3\/8*x**4 + 0 - 33*x**2. Is b(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 times 76856456?\nAnswer: -130655975.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(0 - (3 - 1)). Suppose -4*m = m - 15. Let s be (t + -2)*(-4 + m). Which is the nearest to 2\/7? (a) 3 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1856575, -3713102, -5569629, -7426156, -9282683?\nAnswer: -11139210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2480851 a multiple of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 796 - 2*c - c - 796. Let w be (-3)\/12 - (-14)\/(-8). List the prime factors of s(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = -6. Suppose -3*u = x*u - 265. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/12)\/3*((-10)\/25)\/(72\/6480)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 97458*c - 97455*c - 35 - 2. Calculate l(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(-29427*n**3 + 58851*n**3 + 5929*n**5 - 119*n**5 - 29424*n**3).\nAnswer: 5810*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-9)\/(0 + -3). Suppose 0 = 4*x + 4*l - 24 - m, -l - 4 = 0. Calculate the smallest common multiple of 7 and x.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5855a (base 14) to base 6.\nAnswer: 4335444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -26*o**3\/15 + 8*o**2 - 56*o\/5 + 64\/15 = 0.\nAnswer: 8\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 - 964*c - 893*c + 1857*c.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.048 + -0.252. Let u be (-119)\/(-8) + -15 + 2*145\/16. Let c = -0.2 - -0.6. What is the closest to u in 2, c, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 45*j**2 - 48*j + 95. Let c be n(46). Let v be 7*(4\/(-1) - 32\/(-7)). Solve 3*y - v*m = 4*y - 12, -5*y = -c*m + 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1539\/2052*(-2 + 1)*-8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -612*o**3 + o - 14471 wrt o.\nAnswer: -1836*o**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 7 + -4 + 4 - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90284 is divided by 713.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 10 - 10 + 3*b - b. Let v(s) = s - s + 2*s. Calculate v(h(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5027477 by 46.\nAnswer: 5027477\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2352*t + 2348*t - 24 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/17 and -64\/3798125?\nAnswer: 64568125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 38, 85, 148, 227, 322, 433?\nAnswer: 560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -25*g**2 + 1261*g - 1261*g - 18*g**2. Let h(p) = -2*p**2 + 3. Give q(h(o)).\nAnswer: -172*o**4 + 516*o**2 - 387","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 623 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8*c - 7. Let g(r) be the second derivative of -r**3\/2 + r**2 - r. Let t be (-206)\/30 - 100\/750. Determine t*g(n) - 2*w(n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1067 is divided by (-72)\/15*(-7 - ((0 - 0) + -2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**4\/3 - y**3\/6 + y**2\/2 - 2*y - 94. Give j(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*o - 24*o - 24*o)*(-111*o + 2*o**2 + o**3 + 111*o) + ((5 - 1 - 2)*(-3 - 3 + 2) + 3 - 2 - 2)*(o**2 - 5*o**4 - o**2).\nAnswer: 33*o**4 - 24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-388)\/(-2231)*(0 + -2). Suppose -5*s - 4*a + 2*a = -14, 0 = -3*s + 5*a + 27. Suppose 4*l + s = -0. Which is smaller: t or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127224915.\nAnswer: 3, 5, 8481661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millennium in years?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23686 and 238914.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2 + (-9)\/(-6). Let i(t) = -2*t**2 + 0*t**l + 0*t**2. Let d(p) = -2*p**2 + p**2 + 4*p**2. Calculate d(i(w)).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d. Let v(z) = 2083*z**2 - 2067*z**2 + 3*z - 3*z. What is v(b(q))?\nAnswer: 576*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.18*15.162.\nAnswer: 2.72916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3551 is divided by 986?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 - 4*h + 18. Does 12 divide p(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 53 = -57. Suppose 4*h = -h + 60. What is the remainder when c is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47669 <= -286019\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2 - (-8 - (-3)\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**3 + 3*p**3 - p**3)*(0*p - p + 4*p) to the form r*p**2 + z*p**4 + a + j*p**3 + s*p and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34640832 is divided by 162633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-7 + (-208)\/(-32))\/((-3)\/18) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 47.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 14*d**2 + 20*d - 6. Give j(-12).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**3\/2 - 9207*p**2\/2 + 18411*p\/2 - 9205\/2 = 0?\nAnswer: 1, 9205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-6))\/((-40)\/240))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 27544055 (base 8) to base 14\nAnswer: b799db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1. Let c = -4.8 + 0.8. Let i = -4 - c. Are r and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 8*b**2 - b. Let s(k) = k**3 - k**2 - 2*k - 2. Let y(n) = -i(n) + 3*s(n). Let g be y(2). Solve 5*t = -3*d + 15, 4*d + t - g = -2*t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/160 - 2\/(-16).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2980066.\nAnswer: 2, 17, 87649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1235552?\nAnswer: 2, 38611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert c856 (base 15) to base 9.\nAnswer: 64120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 5*p**9\/1008 - p**6\/60 + 2*p**3 - 5. Let g(j) be the third derivative of o(j). What is the third derivative of g(y) wrt y?\nAnswer: 900*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.93 - -1.93. Let v = -0.6 + 4.6. Sort v, c, 2\/5 in ascending order.\nAnswer: 2\/5, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 50 = -18. Let k = 48 + o. What is the third biggest value in -1\/7, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/2418872 and 121\/32654772?\nAnswer: 65309544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 4*o + 2*s, -2*s - 92 = -5*o + o. Let b = o - 11. Suppose -5*q = b - 89. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/((-4440)\/1292) + 52\/156. Which is smaller: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) 1.019 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 17*w - 171 = 0. Let c be 70\/22 + w\/(-11) + 5. Solve -u = 5*r - 16, -u - c*u = -3*r + 28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 670 = -5*k, -10*k + 14*k - 517 = -3*a. Calculate the remainder when k is divided by 64.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + f - 4 = 0, f = 2 + 2. Suppose -3*k = -2*t - 7503, -5*t + r = -15. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -251907 or -251906?\nAnswer: -251906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 9*o**2 + 6*o - 6. Let w be y(-10). Let s be ((-1037)\/w)\/(2\/(-4)). Let n = s + 55. What are the prime factors of n?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*s + 21 - 2, 3*t = -2*s + 7. Let v be 66\/10 + t + 21\/15. Let p(l) = l + 11. Calculate the remainder when p(v) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 3:46 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-18))\/((-147)\/1568*28)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**4 + g - 1. What is the first derivative of f(v) wrt v?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 548 + -539. What is the highest common divisor of q and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 65, 74, 95, 134, 197, 290, 419?\n\"Answer: i**3 + 2*i + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 25*y**3 - y + 1. Let u be b(1). Suppose 0 = 4*w + w - u. Suppose 5*x + 2*k + k = 40, -3*x = -5*k + 10. Solve 12 = c + 3*d, x - 25 = -3*c - w*d for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -35.7 (b) -4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 9*r**2 - 52*r + 1110. List the prime factors of h(28).\nAnswer: 2, 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -23a15?\nAnswer: 23a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -6*v. Let y be x(-1). Let p = 480 + -476. Suppose -p*t + 20 = -5*i, 0 = -i + 3*i - 2*t + 10. Solve 2*q - y*q - 20 = i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -5*f**2\/2 + 11*f + 458. Let u(d) = 2*d - 4. What is 3*c(o) + 8*u(o)?\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 560 and 90?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-14))**(-25))**(3\/2) assuming c is positive.\nAnswer: c**525","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (77*b + 41*b + 129*b)*(-2 + 2*b + 9 - b) to the form q + k*b**2 + c*b and give c.\nAnswer: 1729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a week in seconds?\nAnswer: 16800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + 6*d + 269*d**3 - d.\nAnswer: 269*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 4*a + 0*a)*(-4*a**2 + a**2 + a**2) - 3*a - 34*a**3 + 27*a**3 + 76437 - 76348.\nAnswer: -11*a**3 - 3*a + 89","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f - 203 + 195. Which is bigger: f or 5\/17?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 45\/2 of a micrometer?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 8) to base 12.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13102, 2, 0, -3, -4, -2, 3 in descending order.\nAnswer: 13102, 3, 2, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12704, -10522, -8340?\nAnswer: -6158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -11 + (6\/(-15) - (-9)\/(-15)). Let u be 1*(-14)\/(0 - 2). Let p = w + u. Sort 4, 1, p in descending order.\nAnswer: 4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -23. Let d = 71 + 24. Let i = d - 89. Let s(l) = l + 1. Let z(u) = -3*u - 8. What is i*s(q) + w*z(q)?\nAnswer: 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 7 = -5*v + 24, -5*n + 33 = 3*v. Let w be -1 + 0 + 2 + -1. Suppose 3*u - 14 = u. Solve 2*d - u = -3*z + n, 3*d + 3*z - 18 = w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 - 61*k + 61*k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.9 - 6. Let g = -37\/6 - -23\/3. What is the nearest to p in -2\/13, g, 0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7892356232 to the power of 1\/3, to the nearest integer?\nAnswer: 1991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 - 32*p + 80. What is n(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*g - 26, 5*g + 15 + 2 = 4*b. Suppose o - 4*n + 11 = 0, -o + 2*n - 8 = -1. Is o at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.177 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -31. What is the highest common divisor of u and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23513 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96470661 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04 (b) 1\/29 (c) 5 (d) -2\/3 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/14)\/(30\/(-21))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106615*c**2 - 106617*c**2 + 213225*c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91803, -736358, -2485861, -5892786, -11509607, -19888798, -31582833?\nAnswer: -47144186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*j - 286*j + 49*j + 432 - 4*j**2 - 139*j = 0 for j.\nAnswer: -108, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3768?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/18)\/((-8)\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 0 + 4\/3*t**2 - 212\/3*t = 0.\nAnswer: 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/(-3))\/((-6)\/54). What is the units digit of -1 + (f - (-3 - -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + 6 + -11)\/(2\/(-32)). Suppose -11*j = -m - 12. Solve 0*x - 28\/5*x**j + 0*x**2 - 49\/5*x**5 + 0 - 4\/5*x**3 = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkkx when four letters picked without replacement from xkkkkkxkkkkk.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3968654535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y**2 + y**2 + 2*y**2)*(-y**2 + y - 7*y**2 + 12*y**2)*(-5 - 1 - 2) in the form f*y**2 + v + l*y**3 + t*y**4 + r*y and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 143266*h + 4298875. Give i(-30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3555.413ng?\nAnswer: 0.003555413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 (base 11) in base 3?\nAnswer: 10002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/5, 11, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, -1, 103, 0.3 in decreasing order.\nAnswer: 103, 65, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*p + 6*p + 35. Solve 6 = -2*h + 2*y, 4*h + p + 13 = 2*y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = -31*m - 153 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1\/10 (b) 51 (c) -5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1305001977 from -18.4.\nAnswer: 1305001958.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 - 15 = 3*w. Let b = 66 - w. Suppose 4*i - 3*x = b, -5*i - 3*x + 49 = -x. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 15*p + 3672 = 0. Is 4 + p\/52 - 9063\/(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -180ce (base 16) to base 12\nAnswer: -49012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 5460427 in descending order.\nAnswer: 5460427, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55945080?\nAnswer: 2, 3, 5, 31, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1407857.\nAnswer: 11, 131, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 32 = u. Calculate the greatest common factor of 48 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-0.16733429\nAnswer: -0.33466858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.8176 * 3.946.\nAnswer: 15.0642496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 - -16135?\nAnswer: 16120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-4)))\/(i*((i*i**(-15))\/i)\/i))**(1\/22) assuming i is positive.\nAnswer: i**(19\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 810987840 by -240.\nAnswer: -3379116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*h - 462 = -3*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 11*z**2 - z + 16. Let n be r(11). Let b(g) = -g**2 + 7*g - 7. Let i be b(n). Solve -i*a - 4 = -a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - k + (-3*k + k + 3*k)*(2 - 5 + 1) + (k + 3*k + 3*k)*(0 + 3 - 4).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 4\/23 (c) 8 (d) 1\/2 (e) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20249039 - 445597485\/22. Let z = -12445 + 7054. Let f = x - z. Calculate the common denominator of 47\/4 and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293340 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2. Let i(j) be the third derivative of 0*j + 0*j**3 + 0 - 1\/8*j**4 - 3*j**2. Give i(s(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23113.\nAnswer: 29, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/84*7)\/((10\/(-40))\/(8 + -4))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - w - 134 = 201, -173 = -3*n - 5*w. Suppose -5*u - 9 = -2*c, -4*c - 3*u - 9 + n = 0. What is the highest common factor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w - 3. Let s be r(5). Suppose -22 + s = -2*d - 5*z, -9 = -3*z. Solve 2*c + 2*j + d = -4, c + 4*j = -14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s - 14*s - 34*s + 8*s.\nAnswer: -49*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*n = 1825952 + 431828. List the prime factors of n.\nAnswer: 2, 16127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u - 319 = -135 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*u = -88*u + 56. Solve 3*z + u*v - 6*v = 4, 0 = -z - 2*v - 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + 26. Let m = 61.8 - t. Let p = m - -12.1999929. Round p to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 17, 2\/13, -0.5, -60, 10 in ascending order.\nAnswer: -60, -0.5, -1\/5, 2\/13, 10, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 163\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 4*a - 10 - 186, -4*y = -3*a - 191. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72543707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-61 + 67 + 35\/2)\/((-1)\/(-834))?\nAnswer: 3, 47, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21515 is divided by 564?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -80488569*x**2 + 5213358*x?\nAnswer: -160977138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*n + 32*n = -25. Solve n*h**2 - 5*h**2 + 8*h**2 - 3*h**2 + 5*h**3 - 20 - 20*h = 0 for h.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27441?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**6\/20 + k**4\/8 + 14*k**2. Find the second derivative of a(l) wrt l.\nAnswer: -36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 6*b**2 + 4*b + 9. Let u(w) = w**3 - 7*w**2 - 4*w - 10. Let d(z) = 7*t(z) + 6*u(z). Calculate d(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f + 15462 = 29*f. Let i = 26210 + f. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t + 2*t + 7*t**2 - 4*t - 3*t.\nAnswer: 7*t**2 - 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 611351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**6 + 17*d**4*j**3 + 8*d**2*j**3 + 2*d**2*j - 8*j**2 wrt d?\nAnswer: 120*d**3 + 408*d*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0, 0.28, 5\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2075 greater than -2450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9.299571 micrometers?\nAnswer: 0.0009299571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3373.\nAnswer: 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117932?\nAnswer: 2, 29483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 8:13 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 299282421 and 1017?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130226?\nAnswer: 2, 19, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 113159014657\nAnswer: 113159014657.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4*v = v, -4*z = 4*v + 36. Let n be 38\/14 - 6\/(-21). Let x(c) = -2*c**3 - 2*c + 5*c**2 + c + n*c**3 + 0 + 1. Calculate x(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6 + (-60)\/(-9). Let w(d) = -2*d - 5. Let v(s) = 2*s + 5. Let p(l) = a*v(l) + 5*w(l). Differentiate p(i) wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**2 + 19080*j + 19083 = 0. Calculate j.\nAnswer: -1, 6361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 3*r**7\/98 - r**6\/35 - 9*r**5\/28 + 5*r**4\/14 + 6*r**3\/7 - 12*r**2\/7 + 1621*r. What is k in g(k) = 0?\nAnswer: -2, -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4209143 and 16395?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2 + 1. Suppose -10 = -z*o + 2. Let q(x) = x**2 - x + 3. Calculate the remainder when 43 is divided by q(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/(-40))\/(133\/(1771560\/(-450)))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8181 + -8176. Solve -i = 3*p + 5, -h*i + 6 = p + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.4 + 1.2. Let s = -104 + 114. What is the second smallest value in 2\/3, s, -1\/4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -394.93477 smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 = 0, 0*x + 29 = 2*x - 5*m. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -33*z - 36*z + 737. Let f(x) = -2*x**2 + 35*x - 144. Calculate f(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11489\/24171 + 1\/1151. Sort -8, p, -1.\nAnswer: -8, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -h + 484815, -2*q + 64*h = 68*h - 484806. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 124*l**2 - 11*l - 26. Let c = -278 + 276. What are the prime factors of x(c)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127181686 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56839*p - 52807*p + 25004*p.\nAnswer: -84642*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37182.\nAnswer: 2, 3, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*o = 482*o - 14528 for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3994002 + -2468002. Round v to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.664579 to three dps.\nAnswer: 0.665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1410\/108*9477\/(-15795).\nAnswer: -47\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14, -35, -72, -131, -218?\n\"Answer: -o**3 - 2*o**2 - 8*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2148 = -4*i, -10*i + 13*i + 4*t + 1576 = 0. Which is bigger: i or -531?\nAnswer: -531","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -31*l - 22. Let f be c(-2). Let z(u) = -u**3 + 48*u**2 - 71*u + 95. Is z(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1550 + 3470. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*u = 2*b + 21, -2*b + 17 = u. Let z(s) = 0 - s**3 - 6 + 9*s**2 - 5. What is the remainder when z(b) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 58*p**2 - 574*p + 1855. Calculate l(-44).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17404 and 12.\nAnswer: 52212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (34 - 27 - 26 - (-5 + -5)) + (1 - 31)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 - 0. Let j = u + 0. Let z be ((-4)\/98)\/((-192)\/(-448)). Put j, 1\/8, z in ascending order.\nAnswer: j, z, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -40*w**4 + 2*w**3 - 2*w**2 - 2*w - 40. Let y(k) = k**4 - k**3 + k**2 + k - 1. Let r(i) = -o(i) - 2*y(i). Find the first derivative of r(p) wrt p.\nAnswer: 152*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*p - 1360 = -1291 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 - 1.1. Let w = -1.5 - h. What is the closest to 0.1 in w, -0.2, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t - 10. Let c(w) = -6*w - 10. Let k(p) = 6*c(p) - 7*y(p). What is the tens digit of k(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 7:38 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27.8 - 28. What is the smallest value in 0.1, f, 4.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 80*y**4 - 187 - 29*y**4 - 25*y**4 + 186 + 5*y**3 + y - 6*y**2 - 24*y**4 as k*y + n + g*y**4 + o*y**3 + p*y**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/15 - 58\/(-6). What are the prime factors of (65\/r)\/(1\/2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 10 - 133)*(18*h**4 - 40*h**4 - 65*h**4).\nAnswer: 10353*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 671023.\nAnswer: 19, 35317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1709785 by -4441.\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(3\/(6\/4)))\/(1\/(16\/264))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -147*w**2 + w**3 + 147*w**2 + 17 in the form n + a*w**2 + z*w + p*w**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - b = 4*w - 16, -4*b = -w + 4. Let h = 0.5 - -2.5. Let x be (-3)\/(-14)*208\/(-78). What is the second biggest value in w, h, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38.2 and -0.07.\nAnswer: -2.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 131961\/(-54) + (-12)\/(-3). Let g = 2444 + r. Calculate the common denominator of 85\/92 and g.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 24 = -4*y, 2*y - 3177 + 3169 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 75*k**2.\nAnswer: -5*k**2*(k + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 4)*(63 - 155*p - 63)*(-1 + 4 - 2) as c + u*p and give u.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 21c (base 14) to base 10\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = s + 11 + 1, -3*o + 50 = 4*s. Differentiate 10*q**4 - 22*q**4 + 5 + o with respect to q.\nAnswer: -48*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (1 - -1) - (25 + -13).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {v: 4, w: 1, l: 6, m: 2, r: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 352 - 166. Suppose 0 = 5*t - 19 - k. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 2*m + 44, -32*p - 30 = -29*p - 3*m. Let o be 1*1*-1*-89. Let l = o + p. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34769?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -278*g**3*w**3 - g**3 - g**2*w**2 + 47*g*w**3 + 7*g*w**2 + 2*g*w wrt g?\nAnswer: -1668*g*w**3 - 6*g - 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -8*l**5\/15 + 29*l**4\/12 + 11*l**2 + 6. What is the second derivative of h(m) wrt m?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 855620, 1711353, 2567096, 3422855, 4278636, 5134445, 5990288, 6846171?\n\"Answer: x**3 - x**2 + 855729*x - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 11 + 8 = 5*t, -2*y = 4*t - 14. Suppose -28 = -t*s - 0*s. Suppose -z = z - s. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**2 + 1456652*p**3 - 5*p**2 - p**2.\nAnswer: 1456652*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -191*j**5 + 0 + 186*j**5 + 45*j**2 - 15*j**3 - 25*j**4 + 0 = 0. Calculate j.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 1. Let c(p) = 4*p**3 + 20*p**2 - 7. Determine c(o) + 5*q(o).\nAnswer: -o**3 + 20*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 13*s**4 - 5*s**3 + 9*s - 9. Let g be (5*-3 - -3) + 3. Let r(i) = 3*i**4 - i**3 + 2*i - 2. Let u(p) = g*r(p) + 2*l(p). Factor u(q).\nAnswer: -q**3*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 285 - 273. Find the common denominator of 127\/6 and (321*3\/c)\/(45\/(-6)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -1636*s + 418834. What is v(256)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -8*s + s - 1 - 6. Let h be p(-9). Suppose -5*x + h = 16. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1716 by -13.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-n + 2*n + n)*(-3*n - n + 2*n) + 2 - 2 - 2*n**2)*(-n**2 + n**2 + 2*n**2) + (3*n**4 + 2*n**4 - 6*n**4)*(-6 + 2 + 3).\nAnswer: -11*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (56 - 31 - (0 - 3 - -6)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**5 + 353*m**4 - 353*m**4 + (0*m**5 + 16*m**5 + 2*m**5)*(-4 + 8 + 0).\nAnswer: 75*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5\/6 + -77\/12. Calculate the common denominator of -95\/4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1011 + 13132?\nAnswer: 14143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-12)*f**2*f**(-1\/23)\/f**(-1\/2) assuming f is positive.\nAnswer: f**(-439\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-21)\/9)\/((-1631)\/70533993) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 2:41 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355965 is divided by 10170.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a - f = 11, -4*f = -4. Suppose -4*y = -0*d + d - 775, 4*y + 3*d = 781. Let r = y + -189. Calculate the lowest common multiple of r and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 6:53 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323000522 (base 6) to base 15.\nAnswer: -785622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.3, -2\/19, -3, -2\/45?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0276 + 0.005.\nAnswer: 0.0326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/(3\/((-15)\/2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 0*k + 0 + 1\/20*k**6 + k**2 - 1\/24*k**4 + 0*k**3 + 1\/24*k**5. Factor z(v).\nAnswer: v*(3*v + 2)*(4*v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 11:34 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 - 6*i**2 + 1 - 47*i + 16*i + 3*i**2 - 3*i**2 as j*i**2 + r*i + d and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4\/11 - 80*y**3\/11 - 1190*y**2\/11 - 2980*y\/11 - 1872\/11 = 0.\nAnswer: -9, -2, -1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5*t + 1)*(5*t**2 - 5*t**2 + t**2) + 55*t - 55*t - 11*t**3.\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 525739 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 422, 990, 1576, 2180, 2802, 3442, 4100?\nAnswer: 4776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26369?\nAnswer: 7, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*m**2*r**2*t**3 + 46*m**2*t**3 - m*t**2 - 8*r**2*t**3 + 2*t**3 wrt m.\nAnswer: -14*r**2*t**3 + 92*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**4\/24 + 5*k**3\/6 - k**2. Let l be a(2). Put 2, -4, l in decreasing order.\nAnswer: l, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5696701 - 5994329 = 175*s + 471120. Round s to the nearest 1000.\nAnswer: -69000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -243493\/22 - -11071. Let i = -327\/4 + 79. Calculate the common denominator of i and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1301116, 1301121, 1301132, 1301149, 1301172, 1301201, 1301236?\nAnswer: 1301277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + -1 + 2)*-6*3)**2.\nAnswer: 4536*sqrt(11) + 174960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - x + 1. Suppose -4*q = -5*c - 60, 0 = -11*c + 9*c - q - 24. Let j(h) = -16*h**2 + 12*h - 12. Calculate c*y(f) - j(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzdtzhrhhmmhmm. Give prob of picking 1 r and 2 m.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/8*(-16)\/40*-8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -664*z - 849*z - 102*z - 102*z = 51510 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**3\/5 + 689439*a**2\/5 - 689436*a\/5 = 0?\nAnswer: 0, 1, 229812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -46. Let j = 48 - f. Suppose 0 = 3*w - 38 + j. What is the least common multiple of w and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/514827 or 0?\nAnswer: -8\/514827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/620380 and -26\/1395855?\nAnswer: 5583420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 17*s**2 + 18. Determine z(17).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.02, 0, 2\/331?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/982 and -187\/3870.\nAnswer: 1900170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57072 and 9717?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-312777)\/(-6))\/3 + ((-75)\/10 - -9)?\nAnswer: 2, 8689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1996465214 minus 1.56074?\nAnswer: -1996465215.56074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 333*f**2*j**3 + 3*f**2*j**2 - 34*f*j**3 - 11602*f*j**2 wrt j.\nAnswer: 1998*f**2 - 204*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*k**2 - 32*k**2 + 222*k**2)*(0 + 2 + 6).\nAnswer: 1736*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -f - 670 - 770, 1436 = -f - 5*t. Let k = -1002 - f. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 2. Suppose 2*a = u*a. Suppose 0 = -2*h - 2*r + 18, 2*h + a*r - 17 = -r. Solve 0 = 5*c + 3 - h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 c when two letters picked without replacement from ydmmdcmdycrdddy?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**5\/60 + c**4\/4 - 11*c**3\/6 + 14*c**2. List the prime factors of r(-10).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.378 (b) -2961 (c) 0.5 (d) -5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**2 + 6*u - 5. Let f(j) = -3*j**2 - 7*j + 5. Let t(i) = -3*f(i) - 2*s(i). Let m be t(-5). What is the lowest common multiple of 7 and 90\/m*5\/(-2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 - 5)*(2 + -1). What is the third derivative of -q*f**2 + 3*f**2 - 3*f**3 - 3*f**2 wrt f?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32.98 - -33.38. What is the nearest to -1 in x, 25, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 - 841185*z**2 - 20*z + 3364740.\nAnswer: 5*(z - 168237)*(z - 2)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/51 + 294\/102)\/1. Solve -3*j - 2*p = b, j + 3 = -2*p + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 497325.\nAnswer: 3, 5, 19, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 8*q**2 + 10*q - 3. Let o(s) = 5*s**2 + 9*s - 3. Let t(j) = 2*h(j) - 3*o(j). Give t(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -17. Let p(b) = 3*b - k*b - 12 - 2*b. Let o be p(-4). Solve o*j - 6 = -2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u + 1 + 2*u + 0*u + 4 + 4. Calculate s(7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -319.584 - 0.416. Let q = r + 320.5. Which is the second biggest value? (a) 2 (b) q (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3 + 5*l**2 + 2*l - 11. Determine x(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, c: 6, t: 2, q: 3, o: 2}. Give prob of sequence coq.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.118 times 20?\nAnswer: -2.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l - 18. Let d be y(-4). Let a be (6\/20)\/((19 + -6)\/d). What is the closest to 0.1 in a, -0.05, -0.1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10447, 10483, 10543, 10627, 10735?\nAnswer: 10867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(64)\/sqrt(8)) - (3*sqrt(605) - sqrt(605)) - -5*(sqrt(140)\/(3*sqrt(7)))**2.\nAnswer: -21*sqrt(5) + 100\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*a = -4*a, 0 = -4*y - 2*a. Suppose y*f + 2*f + 19 = -s, 3*s - 15 = 2*f. Let h = 21 + f. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2698894840 and 0.00184?\nAnswer: 2698894839.99816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (-13 + 23) - 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6*9\/(-12))\/((-440)\/132).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -10*w + 6. Let g(a) = -21*a + 11. Let t(u) = 3*g(u) - 5*y(u). Let s be t(-6). Find the common denominator of 27\/4 and 299\/72 - (-18)\/s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 217*p**4 + 25*p**2 wrt p.\nAnswer: 5208*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x. Let h be -74 - (-3)\/((-9)\/6). Let g be 1\/5 + h\/(-20). Let d(u) = 4 - 2*u - g + 8*u. Calculate n(d(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8000165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, e: 3, b: 1, h: 2, z: 4, c: 3}. Give prob of picking 2 c.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381*v = 392*v - 763*v + 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 229, 281, 331, 379?\n\"Answer: -c**2 + 55*c + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 2*q**3\/3 + 660. Let y(a) = 15*a**2 - 2 + 0*a**2 + 2*a**2. Determine b(y(r)).\nAnswer: 578*r**4 - 136*r**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 43*r**2 - 280*r - 3. Let m(o) = -3*o**3 - 46*o**2 + 277*o + 2. Let v(z) = -2*g(z) - 3*m(z). What is the second derivative of v(h) wrt h?\nAnswer: 42*h + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5579992981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 473 - 476. Which is the third smallest value? (a) 1.2 (b) q (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7238459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/((-120)\/(-108)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 12) + (3 - (3 - 1)) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2)\/f)\/f**(-2)*f\/(f\/(f*f**(-5)*f))*f*(f\/(f**6*f)*f)\/f assuming f is positive.\nAnswer: f**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -12. Sort 7, 5, d in ascending order.\nAnswer: d, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23510 is divided by 11348.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -40*s - 5. Let a be m(0). Let i(r) = -6*r**3 - 9*r**2 + 5*r - 4. Let n(w) = -w**3 - w**2 + w - 1. Give a*n(q) + i(q).\nAnswer: -q**3 - 4*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 24 - 7)*(2 + 2*w - 2)*(-3*w**2 - w - 2*w + w**3 + w**3).\nAnswer: 100*w**4 - 150*w**3 - 150*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -246*o - 19\/6*o**3 + 0 + 179\/2*o**2. Find the first derivative of z(h) wrt h.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -2.9 (c) 0.4 (d) -4\/9 (e) -205 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -2\/7, -0.08, 13, -3 in ascending order.\nAnswer: -3, -2\/7, -0.08, 13, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*t + 30. Suppose 3*y - 26 = -t. Let s(a) = a**3 - 8*a**2 + 5*a + 2. Determine s(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-162)\/72)\/((30\/16)\/5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.044 - -2.956. Which is the fourth biggest value? (a) 2\/13 (b) w (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*y**2 + 0)*(-10657 + 7072 + 8238 + (3 + 0 - 1)*(-3 + 4 - 2)).\nAnswer: 13953*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x + 59. Let k be w(7). Suppose -10 = -5*b - 0*b, k*d = -3*b + 846. List the prime factors of d.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37 and -0.6.\nAnswer: -22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (120\/48)\/(((12\/10)\/(-3))\/4)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*((sqrt(425) - (0 + (sqrt(425) - sqrt(425)*-1))) + (sqrt(425) + sqrt(425) + 1)*5 - (sqrt(425) - (0 + sqrt(425)))*2*3)*-4)**2.\nAnswer: 28800*sqrt(17) + 2204800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -243.36 - -73.91. Let x = 166.74824 + t. Let z = 2.7 + x. What is z rounded to four dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**7\/105 + x**6\/30 - 19*x**5\/30 + 7*x**4\/3 - 4*x**3 - 719*x**2. Determine t so that c(t) = 0.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*j + j**3 - 230*j**2 + j**4 - 4*j + 228*j**2 to the form r*j + d*j**3 + h + b*j**4 + z*j**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3515\/84 - -33\/28. Let i = a + 40. What is the biggest value in i, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 8*b**2 + 3*b - 12. Let r be a(-5). Let g = r + -80. Let i = -23 - g. What is the greatest common factor of i and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 8*u**2 - 19219*u - 96310. Determine d(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 7, -0.4, 3, -0.21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 29. Which is the third biggest value? (a) 1\/4 (b) -4 (c) 0.5 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -7*s**2 - s. Let y be d(-1). Let a(i) = -40*i**2 + 34*i**2 - 3 - i**3 + 5. Calculate the lowest common multiple of a(y) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1835909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7579*b = 7578*b + 4701. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6602.081 kilometers?\nAnswer: 6602081000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -130379 divided by -1\nAnswer: 130379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*s**3*u**4 + 13*s**3*u**2 + 10*s**3*u + 3*s**2 - 148215*s*u**3 - 14*s*u**2 wrt u.\nAnswer: 96*s**3*u - 889290*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**3 + s**3 + 265*s**2 - 4 - 278*s**2 + 3 to the form h*s + i + k*s**2 + m*s**3 and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**6\/2160 + q**5\/240 - q**3\/3 - 6*q. Let v(d) be the second derivative of y(d). Factor v(o).\nAnswer: o*(o + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*0.035.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 7*j**2 - j - 3. Let c be w(-7). Let x(p) = p - c*p + 7*p + 0*p. Let h(b) = -b + 2*b - 4*b + 4*b. Give x(h(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 133754*k**3 + 181239*k**2 + 5*k?\nAnswer: 802524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 0 + -1 + 10. Let x(t) = -t**3 + 3*t**2 + 4. Let m be x(3). Suppose o - 13 = -m*q - 1, 5*o + f = 3*q. What is the highest common factor of 3 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -311 + 313. Factor -1\/3*d**5 - 1\/3*d + 1\/3*d**4 - 2\/3*d**i + 1\/3 + 2\/3*d**3.\nAnswer: -(d - 1)**3*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**4\/3 + 11183*d**3\/3 + 89560*d**2\/3 + 59728*d = 0 for d.\nAnswer: -4, 0, 11199\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 551*d - 18907 + 5683 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/44239 or 0?\nAnswer: 1\/44239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t - 5*t + 7*t)*(-1009 + 520 + 558)*(5*t - 4 + 4) as o + r*t**2 + u*t and give r.\nAnswer: 2415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + n + 0*n + 1 = 0, 0 = -2*z - n - 2. Let u = 37 - z. Let b = u - 11. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*x**2 - 66*x - 849?\nAnswer: -16*x - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17988 and 10969.\nAnswer: 197310372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 9:23 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 0*p - 45 - 9*p**2 - 1\/10*p**5 - 11\/2*p**3 - 5\/4*p**4. Factor x(i).\nAnswer: -i*(i + 3)**2*(i + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4784 = 3*a, 0 = -381*b + 384*b - a - 14304. What are the prime factors of b?\nAnswer: 2, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = t - n, 0 = 24*t - 19*t - 3*n - 18 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 548*q - 267. Let m(u) = 1096*u - 531. Let a(x) = 11*g(x) - 6*m(x). Differentiate a(d) with respect to d.\nAnswer: -548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13671 and 6237665.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 6*z + 15, 0 = 27*a - 25*a + 3*z - 33 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 57934?\nAnswer: 5\/28967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 100, 151, 202, 253, 304?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (9448\/23620)\/(22\/25)?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/120*3*((-16)\/(-12))\/2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1067?\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 377761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 229440 less than 229440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36516 - -411?\nAnswer: 37027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 3*x - 2 + 1 + x**3 + 2*x**2. What is the tens digit of t(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105028 is divided by 633?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 753 - 348. Calculate the greatest common divisor of y and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 71 (b) -3 (c) 1\/3 (d) -1 (e) 5099\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 - 3*h**3 - 2*h**3 - 6*h**3 + 3*h**3 + h**3 + (6 - 6 - 4*h)*(9*h**2 + 0*h**2 - h**2) + 3 - 3 + 4*h**3.\nAnswer: -34*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -40b7 (base 12) to base 2\nAnswer: -1101110001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -1 + 4 + 6. Let q(x) = -14*x**3 - x + 1. Let j be q(1). Let k = j + 24. Calculate the highest common factor of k and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 7*w - 4. Let i be g(6). Let r(n) = 3*n - 5. Let p(q) = q - 2. Let y(u) = i*r(u) - 5*p(u). Let c(j) = 2*j**2. Give y(c(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067767 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + (0 + sqrt(325) + sqrt(325) + -3)**2 + -5 - (3 + 5 + (sqrt(325) - (-1 + sqrt(325))))**2) + -1.\nAnswer: -55*sqrt(13) + 1222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 - 72?\nAnswer: -69.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 244891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - 124 - 57*n**2 + 67 - 2*n**2.\nAnswer: -59*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -15, -2, 4 in descending order.\nAnswer: 4, -2, -15, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 432620 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/24 + (-9787035)\/(-4). Suppose 21*p = 14854123 + 101627816. Let w = a - p. What is w rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -32*z**5\/5 + 75*z**4 - 196*z**3 + 202*z**2 - 84*z + 98. Solve h(d) = 0.\nAnswer: 3\/8, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 21*u - 66. Let t be b(-4). Let o = 4.4 + -4. Sort t, -0.5, -2\/9, o in decreasing order.\nAnswer: t, o, -2\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 l when four letters picked without replacement from {l: 4, h: 7}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20824.\nAnswer: 2, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*u**5 + 1124*u**4 + 3173*u**3 + 796*u**2 - 44*u = 0 for u.\nAnswer: -2, -1\/3, 0, 2\/43, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = 2*v - 2*t + 99, 4*v + 3*t = -518. Let b = v + 255. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g. Let m(h) = 5*h**2 + 2. Calculate x(m(n)).\nAnswer: 20*n**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12901 + 12888 - 25777 - 7*d**4 + (-2*d + 2*d - d)*(-4 - d**3 + 4).\nAnswer: -6*d**4 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(297) + (5*sqrt(825) - sqrt(33)))\/(-6*-2*sqrt(275)*2).\nAnswer: sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-4)\/18)*(-740)\/11655.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213762 is divided by 7634.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -187\/1890 and -77\/822?\nAnswer: 258930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -39 divided by 8\nAnswer: -39\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.5 - -12.573. Is 0 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 11\/4 of a microsecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280) + sqrt(280)*-2 + sqrt(280) - sqrt(280) - sqrt(280))\/sqrt(7))\/(2*sqrt(8)*-4).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -5\/33*m**4 + 1\/330*m**5 + 9\/2*m**2 + 100\/33*m**3 + 0*m - 11. Let b(j) be the second derivative of d(j). Factor b(g).\nAnswer: 2*(g - 10)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-314)\/(-1727))\/(7\/(-55)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**3 - 6 + 0*x - 2 + 6*x - 34*x**2 + 2*x. Let y(i) = -i**3 + 11*i**2 - 3*i + 3. Let w(o) = -2*g(o) - 7*y(o). Does 10 divide w(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11093, 129, -1 in increasing order.\nAnswer: -1, 129, 11093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-30)*72\/(-126).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2255, -2252, -2263, -2300, -2375, -2500, -2687?\nAnswer: -2948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -22) + -27 - -18.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + -10. Which is smaller: j or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5535586 and 3408.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 120993?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1019, -2060, -3103, -4148, -5195, -6244, -7295?\nAnswer: -8348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 82\/6 + (-6)\/(-18). Suppose u + 5*b - g = b, 4 = u - b. Solve -2*c = u - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4964\/(-1752))\/(34\/(-6))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5*-3*(sqrt(931) - 2*sqrt(931)) - (5 + -2*sqrt(171) + sqrt(171))*-1))**2.\nAnswer: 25500*sqrt(19) + 4942525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22, -25, -28, -31, -34, -37?\n\"Answer: -3*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/76 and 45\/14839.\nAnswer: 59356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9d413 + 2ee?\nAnswer: 9d701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/10)\/((-11)\/165). Solve -r*k = -5*k + 4*s - 14, 0 = -2*k - 5*s + 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2544.329 times 4\nAnswer: 10177.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -14. Let a(m) = 13*m**3 - 9*m**2 - 9*m + 9. Let b(t) = -7*t**3 + 4*t**2 + 4*t - 4. Let i(d) = f*b(d) - 3*a(d). What are the prime factors of i(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4914 and 13011?\nAnswer: 21312018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 770.274ml in litres?\nAnswer: 0.770274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2118\/71657?\nAnswer: 2118\/71657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 173, 360, 583, 848, 1161, 1528?\n\"Answer: b**3 + 12*b**2 + 144*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 + -23. Let m = 111 + -68. Let h = -25 + m. What is the smallest common multiple of g and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -186\/13? (a) -0.4 (b) 4 (c) 2\/3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33633, 33609, 33565, 33501, 33417, 33313, 33189?\nAnswer: 33045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1060724 divided by 28?\nAnswer: 37883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 5 + 284 + -293 - 21?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - n**2 - n. Let i be a(0). Suppose -4*z + 64 = -i*z. Suppose -2*f = -f - z. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.5 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - -1010101111001?\nAnswer: 1010101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 + 10)*(2 + 2*q - 2 + (-3*q + 3*q + q)*(4 - 2 + 5) + 0*q - 3*q + 5*q).\nAnswer: 187*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 61990 rounded to the nearest 1000?\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41 or 26?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/560 and 49\/1088156?\nAnswer: 152341840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 224 = -x, -2*t + 3*x - 453 = -4*t. Let c(o) = -o**2 - 15*o - 31. Let r be c(-8). Calculate the highest common divisor of r and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333764 = -423*q + 372680 for q.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14011 (base 9) to base 11.\nAnswer: -7145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -9, -6 in increasing order.\nAnswer: -9, -6, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - -106. Let a = 250 - k. Calculate the highest common divisor of 48 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21761376?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 738.21 to the nearest 10.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-73)\/35 + ((-585)\/(-3150) - (-4)\/40)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 4*z**2 - 7*z + 2. Let c be j(-5). Suppose 5*m = -c + 127. List the prime factors of m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 275471903 to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/3*-1 + 3. Let d be (9\/(-18))\/(2 - 6\/(-8)). What is the nearest to h in d, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 - 21*c + 38. Let x(u) = -u**2 + 7*u - 13. Let d(w) = 4*r(w) + 11*x(w). Let b be d(6). Solve -f - b - 1 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2 - 3*z - 3. Suppose 0 = 5*r - 12 + 37. Suppose -2*k + 3*n = -3, -5*k + n = -11 - 3. Let a(b) = -b**3 + 5*b**2 - 5*b - 5. Give k*a(h) + r*g(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 + -40. Let d(z) = l*z**2 + 3*z + 3*z - z. Let h be d(-4). Calculate the greatest common factor of 40 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -t + 4*t, 0 = -4*t. Suppose n*b - 10 = -2*b. Let l(v) = v**2 - 8*v + 6. What is l(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p**2 - 65*p - 45. What is d(14)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1816?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n + 428 = 448 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 968*c + 112. Let r be j(27). Suppose 8 = -d + 3, 3*p = -d + r. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 + 75 + 53*j**3 + 77 - 235 + 80 to the form b*j**2 + k*j + v*j**3 + u and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 4*o - 14 = 0, i - 2*i + 8 = o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/22 and 105\/5938922.\nAnswer: 5938922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 12*b**3 - 2*b**2 + 3*b + 2. Let p(j) = j**3 + j**2 - 2*j. Give -2*p(m) - r(m).\nAnswer: -14*m**3 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1377616001 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert a874 (base 12) to base 4.\nAnswer: 10201120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79*h*p**3 + h*p**2 + 11*h + 16*p**5 - 277*p wrt p?\nAnswer: 474*h + 960*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzuzmuum. What is prob of sequence mu?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110164.\nAnswer: 2, 27541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 22399 - 857806. Let q = x + 146391. Suppose -139935 - q = 5*j - 3*h, 0 = j + 5*h + 38695. Round j to the nearest one thousand.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s*s*s\/((s*s**3*s)\/s*s*s*s*s))\/s)**(-3\/8))**14)**(-8\/3) assuming s is positive.\nAnswer: s**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.17 less than or equal to 1\/1033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/4 + 57*j\/4 + 29\/2.\nAnswer: -(j - 58)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) - (sqrt(2268) + 5) - (4 + (sqrt(28) - sqrt(700))))**2.\nAnswer: 144*sqrt(7) + 529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.332 - 4.668. Let a = 325 - 324. What is the closest to -1\/2 in v, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 123 + -132. Is m less than or equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 9:55 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gwwwwgwwwwwwwwwwh?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0555 < 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25537 = -24*k + 105121. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 402937096?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 303666 = -39*k + 4142. What are the prime factors of k?\nAnswer: 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 2328.3 - 2328.30013621. What is t rounded to 6 dps?\nAnswer: -0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 37458.\nAnswer: 149832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 452 - 1094 = 0. List the prime factors of z.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 74 - 16*d**2 + 17*d**2 + 141 - 4*d. List the prime factors of i(0).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 8*d - 351, -6*y = -y + 5*d + 344 - 84 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1103 + 1119. Calculate the highest common divisor of p and 648.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*-2 + sqrt(2299))**2 + -2 + (4 + sqrt(171)\/sqrt(9))**2*-2.\nAnswer: -16*sqrt(19) + 2227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1385.5419351 rounded to the nearest ten?\nAnswer: -1390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (138 + -143 - -59) + -181.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (0 - -24) + -23 + 4*86 and 3.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l**2 + 16*l**2 - 76*l**2 + 12*l**2 + 18*l**2 + 16*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 3*q - 6. Suppose 0 = -2*k + i + 5 - 18, 3*k + 5*i = 0. Let b be z(k). Suppose -b*j = j. Solve j = -r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3735510 and 520.\nAnswer: -3734990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 - 2 = -h, -2*h - 5*w + 8 = 0. Let c(d) = -d**2 - 26*d - 15. Let z be c(-25). Solve 1 - z = 2*f + 5*y, f = -h*y - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5*(2 - 51\/18).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 20. Suppose 0 = -2*w - 2*o - 12, i = -5*w - 2*o - 2*o. Let v = 8\/153 - -266\/765. Is v >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 2826452?\nAnswer: 2826451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -58*g - 163. Calculate z(-8).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**6\/120 + s**5\/6 - s**4\/24 - 4*s**3\/3 + 3*s**2. Let n be k(-10). Is n at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -609*q - 273. Let k be p(-2). What is the greatest common factor of k and 459?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 0 + 1\/6*h**3 + 0*h**2 - 22*h. Let k(z) = -3*z**2. Calculate k(s(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 288542 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 + f**2 + 2*f. Let d(a) = -6*a**3 - 5*a**2 + a + 3. Let x(k) = -4*k**3 - 3*k**2 + 2. Let i(n) = 3*d(n) - 5*x(n). What is -2*i(b) + 3*m(b)?\nAnswer: 2*b**3 + 3*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12222 - 11?\nAnswer: -20010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-1)*(-12)\/((-288)\/(-12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 13, 1.\nAnswer: 1, 2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2636 in 2, -0.3, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4280, -17129, -38526, -68459, -106916, -153885?\n\"Answer: 2*g**3 - 4286*g**2 - 5*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20771*z + 20941*z = -2380 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64 - -102. Let i be u\/(-95)*(-10)\/(-22). Sort 10, i, -6.\nAnswer: -6, i, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v - 11. Let p = 12 - 20. Let k be u(p). Suppose -5*y + 4*y - k*t - 9800000 = 0, 0 = 5*t. Round y to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -351 take away -2.2161?\nAnswer: -348.7839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1254063 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95 + -255. What is the common denominator of 3\/(-2) + (-54)\/(-14) and (4\/a)\/(2\/(-348))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-37671)\/(-522) + ((-5)\/(-6))\/(-5). Is 19 a factor of 8904\/d + (-1)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -5*c**8\/48 - 31*c**5\/60 - 28*c**2. What is the third derivative of d(l) wrt l?\nAnswer: -2100*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -228650729 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssessksf. What is prob of picking 1 s and 1 k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 6\/17, -0.1, -0.06, -1 in ascending order.\nAnswer: -1, -0.1, -0.06, 0.02, 6\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/175 and 191\/10200.\nAnswer: 71400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -0*j + 91. Let r = j - -17. Find the third derivative of 3*i**2 - 3*i**4 - r*i**2 + i**4 wrt i.\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2761 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-2 - -2)\/1 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 3*k + 61, -4*p - 8*k + 131 = 331 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 16*l + 43. Give u(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3902717 and 149058?\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -15. Suppose -g = -6*g. Suppose 4*m = -4*t - m + 80, -5*t + 3*m + 100 = 0. Solve g = 3*p - l*p - t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/150)\/((8 + -4)\/144) and 51\/125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2232210 (base 4) to base 15.\nAnswer: 349c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 343968 * -0.05.\nAnswer: -17198.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-17)*g**(-13\/5)*(g*g*(g*g**(-2\/67))\/g*g*g)\/((g*g\/(g\/((g*g**(-18))\/g)))\/g) assuming g is positive.\nAnswer: g**(12519\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1200 and 8100?\nAnswer: 32400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2885 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/9)\/((-3)\/144). Is v <= 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.7 - 8.27. Let r = 3.99 + o. Let t = -0.12 + r. Round t to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 - 6*b + 5*b**2 - 19*b**2 + 6*b**2 to the form d + k*b + l*b**2 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -959511?\nAnswer: -959508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*o - 9 = y, 0 = 5*y - 5*o - 55. Let d(j) = -4 + y + j + 1 - 4. Determine d(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*t + 3. Suppose 108 = -t*n - n. What are the prime factors of 6\/n + 762\/27?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 27 (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f = 3*u + 21*f + 74, 5*f + 43 = -2*u. Find the common denominator of 31\/258 and -7 + ((-844)\/u - 9).\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/18)\/(3\/27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 97*k - 90*k + 7. Sort 1, k, 2, 38 in decreasing order.\nAnswer: 38, 2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.27679 - -64.12279. Let b = 0.154 + p. Let g = b - 63.999866. What is g rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*x + 3*h, h + 2*h = 2*x - 16. Suppose -x = -0*n - 2*n. What is the greatest common factor of n and 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-5)*2*330\/(-132). Let s(d) = d. Let m(v) = -1. Determine i*m(t) - 2*s(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g**3 - 1 - 8*g**3 - g**2 - g + 7*g**3. Let f = 0 - -2. Let b be m(f). Solve -5*a - 6 = 2*p + 13, 5*a = -b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2272.0316 - -2272. What is d rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1089 - 20?\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l + 31. Determine f(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*c**2 + 3*c**2 + c**2)*(5*c - 2 + 2) - 4*c**3 + 5 - 5)*(4 - 4 - 2*c).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*i - 56, 2*r - 26 = -2*i + 8. Solve r + 2 = -4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, u: 3, z: 12}. Give prob of picking 2 u and 1 m.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (4 - 4 - (-7 - (0 + 2)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 806806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 918437 and 726485?\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134 - 24232234?\nAnswer: -24232100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2*m - 12 = 0, -5*m + 0 = -5*f + 40 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**2 - 15*m + 7. Let t be s(1). Sort t, -2, 4, 5 in descending order.\nAnswer: 5, 4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -8. Let h = -3 - d. Suppose -4*g + 470 = -5*t, -2*g = t - h*t - 238. Calculate the greatest common factor of 15 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264 and 50424.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1bc096 + 2?\nAnswer: -1bc094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98208798 and 1752?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -1\/16, 36\/11, -30, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 80 = -2*j, 3*j - 165 = -4*w - 2*j. Suppose -65 - w = -10*i. Sort 2, -14, i, 1\/2 in decreasing order.\nAnswer: i, 2, 1\/2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*f = -45. Let s(a) = -a**2 - 17*a - 21. What is the remainder when (-1)\/((4\/50)\/(-2)) is divided by s(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 4:26 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 34. Let o = x + 0. Suppose o*q + 49 - 931 = 0. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5229104 divided by 2614552.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (49 + -11)*(-1 - -2). Is m bigger than 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.56? (a) 4584 (b) 1\/8 (c) -0.2 (d) 1 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 73.18 and -0.06?\nAnswer: -4.3908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.118 (b) 0.04 (c) 73 (d) 2\/9 (e) 1.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26067451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/5016 and 113\/4752?\nAnswer: 90288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 228839 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-1))\/j)\/(j\/((j*j**(-5)\/j)\/j*j)))**(-3\/17)*((j**5*j)\/(((j**6\/j)\/j)\/j))**(-13\/7) assuming j is positive.\nAnswer: j**(-558\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o. Let y be d(6). Calculate the common denominator of (-1)\/5*(-105)\/y and 2\/16*(58 - (-30)\/6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*c - 24, 37 = 4*i + 5*c - 40. Factor 0 - i*t**3 + 10*t**2 + 4*t + 7\/2*t**4.\nAnswer: t*(t - 2)**2*(7*t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134 (base 10) to base 15\nAnswer: -8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, 4, 82, 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 3*h - 12, 4*w - 31*h + 30*h + 4 = 0. Let f = -6 - -9. Suppose -7445 = -w*b + 4*b - 5*j, f = 3*j. Round b to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42 - 168) + 39 + 104.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -4\/3*y**3 + 11\/2*y**2 + 0 + y + 1\/20*y**5 - 2\/3*y**4. What are the prime factors of t(9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 11999999*r + 1. Let n = 4 + -3. Let p be k(n). Suppose -3*t - 2*t + p = 0. Round t to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97780952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70854643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -49928008.2 from -0.1337.\nAnswer: 49928008.0663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 + 110 = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12c6a (base 16) to base 12.\nAnswer: 3860a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 844*r**3 + 839*r**3 - 1684*r**3 - 331*r**2.\nAnswer: -r**3 - 331*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-42))\/((-3)\/((-54)\/(-14)))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 357605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 8*s - 52. Let g be t(-8). Calculate the common denominator of g\/264*-15 + (-6)\/4 and 1\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18815, -37625, -56437, -75257, -94091, -112945?\nAnswer: -131825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -12, -6, -18, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 773187\/194 - (1 - 3\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*a + 45 = 0, 2*f - a - 11 = 14. Calculate the remainder when 29 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-722)\/304*-18*8\/(-6)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 84, 89, 108, 147, 212, 309, 444?\n\"Answer: f**3 + f**2 - 5*f + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 89 = 2*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -38 - 50. Let i(b) = -7*b - 17 - b**2 + f + 3*b. Let a(n) = -3*n**2 - 9*n + 11. Suppose -q = -9*q - 72. What is q*i(w) + 4*a(w)?\nAnswer: -3*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 7. Let n = 0.49 + -0.29. Which is the nearest to n? (a) -2\/5 (b) l (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in years?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 + -66. Which is the smallest value? (a) 0.3 (b) 2\/7 (c) t (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 1716180?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 715 = -3*p + 706 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 26 = i. Put 14, i, 0 in descending order.\nAnswer: 14, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2182 * 1.829.\nAnswer: -0.3990878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2470?\nAnswer: 2, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 + 11*w**3 + 12*w + 87*w**2 + 62*w**2 - 149*w**2.\nAnswer: 7*w**3 + 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 25*v**2 - 48*v + 211. Determine m(-27).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 17 - 39. Suppose 2*k + 14 = 3*l - q, -5*k = 2*l - 44. Suppose 3*n - n = l. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4816\/24*(-6)\/(-4). Are o and 305 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j + 6. Suppose -6*c + 24 = -0*c. Let u be s(c). What is the tens digit of (-6)\/u + (-4456)\/(-56)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 0 + 0*d**3 + 0*d**2 - 1\/4*d**4 + 1\/20*d**5 + d. What is the third derivative of a(q) wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4 + (sqrt(539) - (1 + sqrt(539))) - sqrt(539))**2.\nAnswer: -42*sqrt(11) + 551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfggghggknnhgnhgg. What is prob of sequence gh?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -71*b + 283. Let a(o) = 71*o - 285. Let u(i) = -4*a(i) - 3*m(i). Calculate u(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 5. Let w = 0 + s. What is the closest to 0.1 in 3\/2, -5, w?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 2*s - 1. Let h be p(-2). Let k be (3 - (1 + 0)) + h. Let d = 2 + k. Sort -0.4, d, 2 in descending order.\nAnswer: d, 2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(12) + sqrt(60)\/sqrt(5) + sqrt(12)))\/(-3*sqrt(54)).\nAnswer: -sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2199 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16633736?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -3*k + 12*x + 28*x + 127, 29*x = -k + 30*x + 10 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -6. Factor 10*h**2 + 22*h**3 + h + 4*h**5 - 7*h**3 + p*h + 13*h**4 - 3*h**2.\nAnswer: h*(h + 1)**3*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-40)*(-3 - (-104)\/36)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 6*y + 1. Let n be g(-6). Let k be n + -3 + 18\/8. Factor k*w**2 - 1\/4*w**3 + 0 + 1\/4*w - 1\/4*w**4.\nAnswer: -w*(w - 1)*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14020881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1016 + -42)*-4*4\/(-32) is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1207067863.\nAnswer: 31, 38937673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 9*f = 64. Let x be (8\/f)\/((-62)\/(-32) + -2). What is the smallest common multiple of 2\/4*x + 16 and 50?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(700)*3*-1.\nAnswer: 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -270 - -270.992. What is s rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {f: 3, h: 8}.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + l - 1. Suppose 13*s - 12*s - 21 = 0. Let h be (-19)\/7 - 6\/s. What is p(h)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22891308 and 3194136.\nAnswer: 137347848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1300441400 (base 5) to base 9\nAnswer: 5815518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 5. Let x be ((-2 + 2)\/f)\/(-1). Suppose 2*j - 7*j = x. Solve j = 4*w + 2 + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t + 43. Let h(c) = c**2 + 10*c - 31. Let x be h(-11). Calculate m(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10760, -10118, -9476, -8834, -8192?\n\"Answer: 642*q - 11402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**5\/17 - 732*j**4\/17 - 12694*j**3\/17 - 57900*j**2\/17 - 45936*j\/17 = 0. What is j?\nAnswer: -348, -11, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85189.\nAnswer: 13, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*c**2 - 2*c - c + 75*c**2 + 3*c - 121*c**2.\nAnswer: 25*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k + 8. Let t = -13 - -6. Let o be w(t). Let r = 6 + o. Calculate the highest common factor of r and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 26*o**2 - 257*o + 8177. Determine t(28).\nAnswer: -587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*q**2 + 7*q**2 - 17*q + 5*q**2 in the form j + g*q + i*q**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 0*t**2 + 3*t**2)*(86 - 8*t**2 - 86)*(-5*t - 10*t - 12*t).\nAnswer: 216*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooggogoggo. What is prob of sequence oooo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 44. Calculate the greatest common divisor of 396 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4776, 4785, 4800, 4821, 4848?\nAnswer: 4881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 5*u**2 - 6*u + 3. Let k be z(6). Suppose -k*p - 7 = -55. Let a = 15 + p. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1149 + 1147. Let w = -3 - -4. Put x, -5, w in ascending order.\nAnswer: -5, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 11344*v. Let u(p) = -2*p. What is 5*b(w) + 24815*u(w)?\nAnswer: 7090*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15*(-9 - (-140)\/15). Solve 0*x + 2 = 4*x - u*t, 3*x - 3 = 3*t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.533 - -7.85. What is h rounded to 1 dp?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 26 - 76 = 0. Calculate the remainder when l is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000185015175 rounded to 6 dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 - 302\/7. Let a = 1.6241 + 0.3007. Let z = a - -0.0752. What is the third smallest value in z, c, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 0.5 (c) 919 (d) -4\/5 (e) -2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 12*x + 5 - 3 - 64*x**2 - 9*x - 7 + 4. What is a(1)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 + -3.3. Let o = -4.02 - g. Round o to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2521 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d - 2 - 1 - 2*d**2 - d. Let o(a) be the first derivative of -a**3\/3 - a**2\/2 - a + 1. Give -3*o(h) + w(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-489)\/255 - -1)*-1. Let l = 2\/17 - w. What is the nearest to -1 in 5, l, -4\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 421380 and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10153667+-195.3\nAnswer: 10153471.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, n: 4, w: 3}. Give prob of sequence wn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*q + 1 = -5*q, -13 = -4*s - 5*q. Suppose -2*t + 2 = r + t, -2*t = s*r. What is the closest to r in 0, 27, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 - 3*q - 2. Let l be n(2). Suppose -a - 2*a = 5*d + 7, d + 4*a = 2. Put l, 3, d in increasing order.\nAnswer: d, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2458 = -5*m + 927, 4*m + 5*s = -1208. Let f = m + 329. What is the greatest common divisor of 4 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 77902 = p - 14454, 16 = 4*m. Round p to the nearest 1000.\nAnswer: 92000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 28314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**6 - 294*a**4 + a**2 - 61*a.\nAnswer: 240*a**3 - 7056*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 163. What is k(47)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/(-308) + 1*(-4)\/(-44). Find v, given that 0 - 1\/3*v**3 + a*v**2 + v**5 + 0*v - 2\/3*v**4 = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -26. Suppose 15515175 = v*f - 8544825. What is f rounded to the nearest one hundred thousand?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**4 - 4*a**2 + a**2 + 2*a**2 + 0*a**4 wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/5)\/o**2)\/((o\/o**(2\/7))\/o*o**8)*(o*o**(-4\/5)\/o*o\/(o\/o**(-6))*o)\/(o**(3\/2)\/o**4) assuming o is positive.\nAnswer: o**(-869\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 876767895 and 810.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 3*f**5\/20 - 3*f**4\/8 + 3*f**2\/4 + 10*f. Solve t(s) = 0 for s.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -83*f - 3. Let k(g) = 165*g + 7. What is -2*k(w) - 5*o(w)?\nAnswer: 85*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*g = 2*u + 14, 4*u - 4*g = -4. Suppose 0*b + 4*b = 0, 0 = u*n + 2*b. Solve -z + 0*z - 3 = n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*i + 131. Let q = 5 + 18. Let t = q + i. Which is the second smallest value? (a) 1\/7 (b) t (c) 1\/2 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q. Let g(x) = -3*x. Let c(a) = 5*b(a) + 6*g(a). Let w(p) = 20*p. Give c(w(o)).\nAnswer: 40*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154335376 divided by 4.\nAnswer: 38583844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395434210 is divided by 3583?\nAnswer: 3581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.108926821 - -1394680?\nAnswer: 1394679.891073179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 691, 1380, 2069, 2758?\n\"Answer: 689*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 5*f**2 + 2. Let h be x(5). Suppose 0 = -2*w - 2*q + 20, -w + 5*q = h + 12. Is w < 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -1, 5, 931 in descending order.\nAnswer: 931, 45, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 116748256 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-12 - (5 - 12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 8:53 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-847)\/(-22))\/7 - (-1)\/2. Solve 11*p + v = 14*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.01 - -0.8. Let i = b - -0.285. Round i to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, n: 3, v: 2, a: 4}. Give prob of picking 2 v.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5)\/(-8)*4*12 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/9 + (-4)\/18. Let l = 0 - v. Suppose 4*m + 0*m = -12. Sort m, 4, l.\nAnswer: m, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1607092?\nAnswer: 2, 401773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**13*a\/a**13)\/((a\/a**(-13))\/(a**(-5\/3)*a)) assuming a is positive.\nAnswer: a**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.2, 3, -109.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -1, -3, 231, 2\/5, -17?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18960 and (8\/5)\/(13 + 856\/400*-6)?\nAnswer: 18960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288*c + 281*c = -210. Let q be 3 + 33\/(-15) - 24\/c. Factor q + 0*i + 0*i**2 + 2\/9*i**4 - 2\/9*i**3.\nAnswer: 2*i**3*(i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 4*q**2 + 5*q + 1. Calculate i(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32, -54, -60, -44, 0, 78?\n\"Answer: v**3 + 2*v**2 - 35*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/323089, 5, 3 in ascending order.\nAnswer: 3\/323089, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 39, -52 in decreasing order.\nAnswer: 39, 4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 20*s**2 + 17. Is t(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1017\/5 + -204. Let l = -379\/35 + 73\/7. Sort q, l, -75.\nAnswer: -75, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 578 and 9?\nAnswer: 5202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 3*y**2 + 5. Let x(i) = 6*i + 7 + 7*i - i - i**2. Let n be x(13). Let t be 3\/(n\/(-16)*-2). Calculate c(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13426 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -96*t - 8. Let u(x) = 4*x**2. What is u(c(p))?\nAnswer: 36864*p**2 + 6144*p + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 26 - 8*t**2)*(5*t - 5*t + 70*t**3 + 87*t**3 - 283*t**3 - 3*t).\nAnswer: 1008*t**5 + 24*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -120*q + 127*q - 14805. Suppose q = b - 12665. Round b to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(3)*-2 - sqrt(60))\/(sqrt(12) - -2*sqrt(108)).\nAnswer: -3*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4113534989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/((-25)\/(-30)*3)*(-115)\/(-414)*-9\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -139897045*u**3 + 2*u**2 + 82440798*u?\nAnswer: -839382270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60649166 a multiple of 304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a gram in milligrams?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 247 and 7733?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1518 and 3542?\nAnswer: 10626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 3*c - 2, -10*j + 6*j - 5*c = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3467548 divided by -22\nAnswer: -1733774\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*j**2 - 131*j - 1 + 35*j**2 - 103*j**2 + 29*j**2 as k + y*j + v*j**2 and give y.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 1.9. Let t = 6 - 5. Let b = t - 4. What is the biggest value in c, b, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -7 - 173. What is the remainder when 239 is divided by y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -3.781282?\nAnswer: -3.981282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**3 - i**3 + 3*i**4 - 5 + 125*i**2 - 3*i - 2 - 19*i - 127*i**2 to l + k*i**2 + z*i**3 + v*i + g*i**4 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-423)\/(-30) + 4\/(-40). Let l(s) = 4*s + 10. Calculate l(j).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 10:15 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -20. Let h = -6 - -10. Calculate the remainder when t is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 12*n + 16*n = 12, -2*d - 14 = -2*n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 12 - 28*s - 21*s - 14*s**2 + 0*s**2 + 9*s - s**3. Calculate the remainder when d(-10) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, e: 8}. Give prob of picking 2 g.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(108) + 2 + ((sqrt(9)\/sqrt(3))**2 + sqrt(3) - sqrt(3)) + ((sqrt(108) + 1*sqrt(108) + sqrt(108))*6)**2.\nAnswer: 6*sqrt(3) + 34996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111030031 (base 4) in base 13?\nAnswer: c2a98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 316825 to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence znnz when four letters picked without replacement from {u: 5, n: 4, p: 1, z: 3}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o*t**2 + 4*o - 97*t**5 + 11*t wrt t?\nAnswer: -4*o - 1940*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 452461*o**3 - 431949*o wrt o?\nAnswer: 2714766*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.99 + 17. Let g = -2.402 - 0.588. Let s = d - g. Which is the second biggest value? (a) -4 (b) s (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - z + 14. Let h(y) = z*y - 2 + 6 - 4. Let x(d) = d. Calculate x(h(i)).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -33417 divided by 9?\nAnswer: -3713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(720) + sqrt(5)*2 + 1 + sqrt(25)\/sqrt(5)*2.\nAnswer: 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/17, -0.03, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 508 = 64*m, 15*k + 2*k + 43 = 14*k - 5*m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*p - 10*p + 13 + 22*p)*(16*p**2 - 34*p**2 + 11*p**2 + (-5*p + 2*p + 0*p)*(-3*p - p + 3*p)).\nAnswer: 4*p**3 - 52*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 542*w**3*z**3 + 2*w**2*z**3 - 138*w**2*z**2 wrt w?\nAnswer: 3252*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2803 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 + 7742566*p**2 - 7493412161760*p - 7493419904328.\nAnswer: -2*(p - 1935642)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 77*q**2 + 1113*q - 12769. Calculate r(88).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/4 and -22\/287.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.7062927 to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 748, -2, -3, -4 in ascending order.\nAnswer: -4, -3, -2, 748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - n**3 + n)*(-2*n + 2*n + 7*n)*(n - n + n) + (-2*n**4 + 7*n**4 - 2*n**4)*(-1 - n + 1) - 6*n**5 - 11*n**2 + 11*n**2 + n + 2*n**5 - n.\nAnswer: -14*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 3*w - 2. Let j be y(2). Suppose j*l = -3*l + 252. Find the common denominator of 19\/8 and 68\/6*(-45)\/l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 2 = -d - 15, o - d = 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (22 - (-3)\/3) + (-5 - -2). Let z(i) = -i + 2. Let s(w) = w - 6. Let q(g) = r*z(g) + 4*s(g). What is the derivative of q(f) wrt f?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/15 + 34846156*k\/15 - 151781823497042\/15.\nAnswer: -2*(k - 8711539)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3 - 236*q**2 - 3121*q - 2886 = 0. What is q?\nAnswer: -222, -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 - -93. Suppose 0*k = -3*t - 5*k - 63, -2*t = -k + q. Which is smaller: -19 or t?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 not equal to 153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.343575t in nanograms?\nAnswer: 7343575000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2114126 rounded to 1 dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Let l(v) = -2*v**f - 32*v + 17*v + 15*v. Let b(r) = -r + 19. What is l(b(a))?\nAnswer: -2*a**2 + 76*a - 722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-12511)\/(-4470) + 1. Let r = s + 1\/894. Let o = -3467\/6 + 584. What is the common denominator of r and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhchvhhhnhhvvvnhncn. Give prob of picking 1 c and 1 h.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1615793 - -1615693.0089. Let r = c + 100. Round r to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -266 by -1395.\nAnswer: 266\/1395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 60, 2, 0 in decreasing order.\nAnswer: 60, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17585748 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 16. Let x = 7.9 - -2.1. Let g = x - a. Which is smaller: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2843225 and 6125.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 190804?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z = l + 41, 3 = l. Suppose 2*c = -12 + 2. Let b(w) = -w**3 - 5*w**2 - 2*w - 6. Calculate the least common multiple of z and b(c).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(40)*1)\/(-2*sqrt(1152) + sqrt(8)))**2 + 4.\nAnswer: 2196\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1867324 greater than or equal to 1867323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1089.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 9*o**7\/35 - o**6\/120 - o**5\/60 - 3*o**3\/2 + 4*o**2 + 1. What is the third derivative of u(m) wrt m?\nAnswer: 1296*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 885 is divided by 400.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - k + 3 = 0, 4*t - 485*k + 478*k = 67 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0*u + 2*c - 20, 0 = 5*u + 3*c - 26. Suppose u*a = 5*k + 174, -a + 98 = a + 3*k. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -149 less than 0.44549649?\nAnswer: 149.44549649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/16 (b) 0.01 (c) 1 (d) -1 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37329515 to the power of 1\/4, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 0*x**2 - 4*x + 3 + x**2 - 3*x + 2. What is the units digit of l(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6519 is divided by 2017.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 11:53 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -797768, -1595592, -2393414, -3191234, -3989052?\nAnswer: -4786868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.9 * 0.3.\nAnswer: -6.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4060372.\nAnswer: 2, 1015093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*g - 233*g - 213*g + 964*g - 216*g.\nAnswer: 110*g","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 5058*o**2 + 5053*o**2 - 10114*o**2 - o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12816 and 17206192.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 9 = -5*i. Suppose -2*a = 5*a - 10 - 4. Solve -4*j + y = -15 + 1, -i*y = -a*j + 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*q + 1687202 + 696670 = 0. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 1\/2*v**4 - 1\/2*v**3 - 1\/20*v**5 - 143*v + 5\/2*v**2 + 0. Calculate f(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408221 - -21240?\nAnswer: 429461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**3 + 2*y**3 + 7*y**3 + 10*y**2 - 13*y + 19 - 6*y**3. Is n(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 11 = -19, -q + 4 = 4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -99, -152, -207, -264?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3858 or -3857?\nAnswer: -3857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*-1*-1)\/((-189)\/((-189)\/26))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -45\/2*k**2 + 2 - 8*k. Is r(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-99)\/462)\/1)\/(((-36)\/(-14))\/3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2. Let g(s) = 37160*s. Calculate w(g(x)).\nAnswer: 2761731200*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**6\/120 - n**5\/60 + n**4\/24 - 11*n**3\/6 + 7*n**2 - 2*n. Let y(z) = -z**2 + 3*z. Let p be y(3). What is b(p)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -16095*y + 80480. Determine v(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (858\/(-36))\/(-13) - 7. Let n(v) = -v + 4. Let g be n(5). Let w be g + -4 - (-1)\/(-1). Which is bigger: w or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.9 - -6.7. Round y to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((1320\/36)\/5)\/((-3)\/(9\/4)))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**2)**(15\/7)\/(f**(-1))**47)**33 assuming f is positive.\nAnswer: f**(10362\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111*p**2 - 271*p**2 + 111*p**2)*(-3*p - p + 0*p)*(-3 + 5 - 1).\nAnswer: 1084*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a minute in seconds?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2141, -2062, -1983?\nAnswer: -1904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express z + z - 2*z + 24*z**2 in the form x*z + w + q*z**2 and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-68)\/(-102)*(-4)\/(8\/(-3)). Which is the closest to -0.4? (a) 7 (b) 2\/3 (c) h (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 21. Suppose -p*u + 18 = -12. Solve 0 = -t + u*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.005855575 rounded to four dps?\nAnswer: -5.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14\/8 + 0)*-4. Let p(f) = f + 21. Let z be p(m). What is the greatest common divisor of 126 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -631. What is the least common multiple of v and 12?\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -64, -125, -196, -283, -392, -529, -700?\n\"Answer: -r**3 + r**2 - 57*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*o + 2*o + 2 - 2 to r*o + a and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2356*a**2 - 2344*a**2 + 4696*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 23\/2)*(-696 - -694)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9\/392 + -901\/5096. Which is the second smallest value? (a) t (b) 3 (c) 20 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7686\/29 - 11198792\/42253. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 38 = 14. Let s be (u - -1)*(-6)\/315*-3. What is the smallest value in -6\/19, -3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**3*l*l)**29)**16 assuming l is positive.\nAnswer: l**2784","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5 + 6 + 2 + 7*u. Let z(k) = 20*k + 8. Give 8*i(b) - 3*z(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 0. Suppose 4*m = -4*x + 84, -6*m = -x - m + v. Suppose 0 = -2*w + x - 0. Calculate the remainder when w is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -61*z - 86. Calculate r(-3).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*v**3 + 2*v + 215*v**4 - v**5 - 215*v**4 - v**2 + (-2*v**3 + 5*v**3 - v**3)*(-v + v - v**2) - v**2 - 2*v**5 + v**2 + 4*v**5 - 2*v**5 + v**5.\nAnswer: -2*v**5 + 12*v**3 - v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4079717*a**3*m**2 - 142359*a**3 + 19*m wrt m.\nAnswer: -8159434*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -352306513\/18 + 19559514. Let y = -13075 - s. Let v = 4\/33 - 31\/528. What is the common denominator of y and v?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -20. Suppose -2*o - 2*z + 10530 = -4910, -4*z = u. What is o rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1101010111011000100?\nAnswer: -1101010111010111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10223201 (base 5) to base 11.\nAnswer: -59719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -429.\nAnswer: 128.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 725 + -949. Let m = w + 224. Which is the closest to 0? (a) -3 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4\/3 (b) -0.4 (c) 2\/7 (d) 8 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 + 401708*b + 86955552.\nAnswer: -4*(b - 100643)*(b + 216)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**5 + 46941225*l**3 - 1277318*l**2 - 16 wrt l.\nAnswer: 60*l**2 + 281647350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**5\/20 + w**3\/6 + 2*w**2 - 3*w. Let b(m) = 2*m**3 + m + 5. Suppose -13*y - 5*y - 90 = 0. Calculate y*f(q) + 4*b(q).\nAnswer: 3*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 43*k - 4. What are the prime factors of r(29)?\nAnswer: 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 739212852 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/70*-1*(-20)\/8.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/118 in -4, -5366, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*t - 22 + 22 as a*t + h and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.08 rounded to 1 decimal place?\nAnswer: -12.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -0.1. Let g be (-12*(-81)\/18)\/(51\/(-4)). Let k = 470\/119 + g. Which is the second biggest value? (a) p (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 1 (c) 31 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*p - 50 = 0, -10 = 3*p + 2*p. Let w be 58 - 5\/(15\/6). Let z = w + b. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -21*j**3 + 11*j**2. Let u(o) = -4*o**3 + 2*o**2. Determine -2*a(v) + 11*u(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 7*r**2 - 7*r - 2. What are the prime factors of y(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -950 + 348 = -302*j + 2116. Solve -j*t - 34*t + 43 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 32 = -5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 + 34. Suppose -4*r + 40 = -m*r. Let v = -63 + 74. Calculate the least common multiple of v and r.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - r**2 + 5. Let q be j(0). Suppose 0 = 3*l + 5*o - 10, 2*l + 5*o = -3*l. Let w = 8 + l. Solve y + w = q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19.1 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 608 and 3355970?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8698*k**2 + 1715 wrt k.\nAnswer: 17396*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**5\/20 + q**4\/12 + q**3\/6 + 9*q**2\/2 - 8*q. Determine d(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -7*x**2. Let y(p) = -76*p**2. Let v be ((-40)\/(-14))\/(20\/70). Let d be (v - 1)*8\/24. Let o(a) = d*y(a) - 32*h(a). Solve o(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*z**2 - 689*z + 2*z**3 - 1 - 4*z**4 + 9*z**2 + 690*z to u*z**2 + t*z**4 + k*z**3 + y + v*z and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 768186779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/55*(-1646)\/2469?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 + 140*a**2 - 1155*a + 2700.\nAnswer: -5*(a - 15)*(a - 9)*(a - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 333 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52 - 146. Is a <= -93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 6*o + o = 0. Suppose -3*h + o*f - 3*f = -1497, -5*h - 2*f + 2489 = 0. List the prime factors of h.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, e: 1, o: 2, l: 2, s: 2}. What is prob of sequence ie?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(8)*2)\/sqrt(4) + 1*sqrt(2) + -3 - sqrt(14)\/(sqrt(56)\/sqrt(200)))**2.\nAnswer: -34 - 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(99)\/((sqrt(9) - -5*sqrt(9))*5).\nAnswer: -1 + sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 247867580047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**8\/10080 - r**5\/10 + 20*r**2. Let h(q) be the third derivative of x(q). Let s(k) = -2*k. Determine h(s(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + -1)*-3*3)**2 + ((sqrt(245) + sqrt(245) + -2*(0 + sqrt(245)))**2 - sqrt(245))*-2.\nAnswer: -1120*sqrt(5) + 19926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1343837 divided by -240?\nAnswer: 1343837\/240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a minute?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**0)**(-37)*(t**(1\/4))**(-4\/3)*(t*t**(4\/5)*t\/(t*t**(-7)))**(15\/8) assuming t is positive.\nAnswer: t**(-125\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10, h: 9}. What is prob of sequence uu?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*h - 208*h = 2*x + 7, h = -5*x - 7. Solve -h = -402*s + 401*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = o, -5*h - 2*o - o - 10 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1310313 - -30222?\nAnswer: 2001201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x = -0*x + 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*l - 11 + 227 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*r + 7, -2*d - 6 = -0*r - 2*r. Let m(n) = 90*n - 7. What is the units digit of m(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/92 in 2\/11, -227, -1.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32221143*w**2 + 56536*w - 1 wrt w?\nAnswer: 64442286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6344 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, 3, -2\/3, 0, -3\/2657.\nAnswer: -70, -2\/3, -3\/2657, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -26. Suppose 30 = s*j - 0*j - 4*l, -3*j + 41 = -4*l. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, f: 3}. Give prob of picking 1 f and 1 h.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1168 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**4 - 4*y**4 - 2*y**4 - y**4 + 4*y**4 - y**4 + (y**3 + 2*y**3 - 9*y**3)*(3*y + 0*y - y).\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - i. Suppose -3*b + 3 + 6 = i. Let g be 0 - (-3 - (-3 - -1)). Put g, b, -1 in descending order.\nAnswer: b, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**6\/15 + 7*h**5 - 306*h**4 + 21386*h**3\/3 - 93347*h**2 - 478*h - 2. Solve u(i) = 0 for i.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50 + 2*t - 49 - 2*t + 2*t**2 - t**4 to the form z*t**4 + r + f*t + k*t**2 + h*t**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 3*s. Let o(a) = -4*a**2 - 5*a. Let f(p) = -p**2 - p. Let b(m) = -6*f(m) + 2*o(m). Determine -3*b(k) + 4*x(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, z: 2, j: 1, o: 1, s: 2, r: 2}. What is prob of sequence srjo?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7062305.062 - -0.84.\nAnswer: 7062305.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5373061 milliseconds in days?\nAnswer: 0.00000002936696875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 4, -3\/2, 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 60, 3 in increasing order.\nAnswer: -5, 3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + sqrt(99)*-1)*-6)\/sqrt(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11711424 a multiple of 468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 2, -1\/4, 3\/5, 98, 4\/21 in descending order.\nAnswer: 98, 6, 4, 2, 3\/5, 4\/21, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -20658 divided by 11.\nAnswer: -1878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -168\nAnswer: 33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6631 - 0.0631. Let n = -0.23 + 0.03. Let u = -1.2 - n. Sort -4, o, u, 1\/2.\nAnswer: -4, u, 1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135007 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/3 and 23\/76678473?\nAnswer: 76678473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -115016\/3 or 0.5?\nAnswer: -115016\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 1, -0.07, 5, -1\/17, -626?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*z - 26 = -12*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*q**3 + 209*q**3 + 1058*q**3 - 213*q**3.\nAnswer: 1257*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 1\/21*m**3 - 3*m + 0*m**2 + 1\/42*m**4 + 0. Let f(n) = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122582010?\nAnswer: 2, 3, 5, 199, 20533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -147, -220, -309, -420, -559?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 693\/(-39) - 24\/104?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t - 1. Let s be k(2). Find the first derivative of s*v**4 - 6*v**4 - 6 + 2 wrt v.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*-3 + -5)**2 + -3 - (3*(sqrt(91) - sqrt(91)*2))\/(2*sqrt(700) + sqrt(700)).\nAnswer: 2101*sqrt(13)\/10 + 5755","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3036 = 65*r - 35*r - 26*r. What is the greatest common divisor of 33 and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/16 and 47\/1870?\nAnswer: 14960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -4. Suppose 3*u + 8*u = -33. Let b = 1.17 + 6.83. What is the closest to b in o, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -129657.\nAnswer: -51862.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**4 - 110796*c**3 + 1329951*c**2 - 1219152*c = 0?\nAnswer: -36944, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tln when three letters picked without replacement from tittilnntulttutt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61694165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1410*v**2 - 83*v - 191. Is k(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.7 - -5.1. Let p = s - -0.6. Which is greater: 5 or p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106884 and 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 - 6. Let g = d - 45. Let u = -24 + g. Is -7 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvpo when four letters picked without replacement from {q: 2, w: 6, b: 3, p: 3, o: 1, v: 4}?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -46144, -92279, -138410, -184537, -230660, -276779?\n\"Answer: 2*n**2 - 46141*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwjglllwwgwwwwwwg. Give prob of sequence gwg.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 908\/7 - 2\/(-7). Suppose -6*n = -n - f. Let u = -218 - -243. Which is bigger: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -67*v**2 + 13*v - 6719. Let z(b) = 123*b**2 - 24*b + 13440. Give -11*f(y) - 6*z(y).\nAnswer: -y**2 + y - 6731","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -631.3 - -631.295552. What is i rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -858176483.4?\nAnswer: 858176485.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 3233?\nAnswer: 3233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**7\/105 + p**3\/3 - 3*p**2\/2 + 4*p. Let u(l) be the first derivative of g(l). Differentiate u(a) with respect to a.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -5. Suppose t*j + 5*p - 12 = 2*j, -4*p + 8 = 0. What are the prime factors of (3 + -1 - 68)\/j?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.1 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 f when three letters picked without replacement from {e: 4, f: 2, h: 2, a: 2, v: 7}?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(22\/(-55))\/((-9)\/45).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -1412 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 1\/6, 15 in ascending order.\nAnswer: 1\/6, 2, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6041389*c*t**4 + c*t**2 + 32*c*t - 4*c + 2*t**3 + 7655*t - 2 wrt t.\nAnswer: -72496668*c*t**2 + 2*c + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9991 is divided by 4993?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/5 - 590683*c**2\/5 - 87213309736*c\/5 + 785159032464.\nAnswer: -(c - 45)*(c + 295364)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) -0.4 (c) -2\/21 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 280 divide 70051240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Express -g**3 + 3*g**3 - g**3 + (560*g**3 - 184*g**3 + 3439*g**3)*(-5 + 5 - 1)*(-3 + 2 + 0) as s*g**3 + v*g + p*g**2 + c and give s.\nAnswer: 3816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.97 - 536.97. Let l = -530 - d. Which is the nearest to 0.2? (a) -3\/2 (b) 2\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 638535156 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/((m**17\/m)\/m*m*m)))\/m)\/m**(2\/9))\/(m**14\/m**(-12)) assuming m is positive.\nAnswer: m**(-92\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41911?\nAnswer: 41911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -142. Calculate the highest common divisor of z and 280.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526 divided by 122?\nAnswer: 763\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-9 + 70\/10). Solve -w*y = -38 + 32 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - -36) + 2 - -6.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13534104 or -13534115?\nAnswer: -13534115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 874 is divided by 48\/(-60) - 54\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 2, 27, 5, 3 in descending order.\nAnswer: 27, 5, 3, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 4*i = 50, 530*i - 526*i = o + 47 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2085762 is divided by 3590.\nAnswer: 3562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/195*(-3)\/(-4)*-2.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1008) - (1 + sqrt(1008) - sqrt(1008))))**2*-4*2.\nAnswer: -129152 + 3072*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, l: 3, n: 1, c: 3}. Give prob of sequence nlc.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -648268 (base 12) to base 8\nAnswer: -6041560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44460 and 44538?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -1. Suppose 247 = 5*h - 4*b, -194 = -0*h - 4*h + x*b. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-120) + (-1)\/4.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 4*m - 4, -4*n + 8 = -m - 3. Suppose n*p + 4 = -2*p. Sort 1, 0, p in ascending order.\nAnswer: p, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 1433 = 29. What are the prime factors of b?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5965 and 995.56.\nAnswer: 996.1565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1445 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.665 - -5. Let k = j - 0.045. Let y = k - 0.49. Which is greater: -0.06 or y?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*z + 16, 15 = -2*r + 7*r - z. Let g(c) = -5*c**2 + 3*c**2 + c**3 - 8*c**2 + 2. Let b be g(10). Solve r*k - 6 = -b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 67600.51 millilitres?\nAnswer: 67.60051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -4) + 1 + (-6 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - -0.2. Let g = 1.3 + -1. Let j be (-45)\/50*(-5)\/(-225)*30. Which is the closest to k? (a) g (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -8.3. Let x = -2.6 + 1.2. Let r = 1.9 + x. Sort r, 3\/5, m in descending order.\nAnswer: 3\/5, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 1183328.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 392.5861ml in litres?\nAnswer: 0.3925861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 5*v - 6 = 5*i, i - 3*v + 18 = 0. Suppose 0 = 2*s + 8 - 38. Solve 4*l - 8*l + s = u, -i*u - 2*l + 15 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 21*o + 28 = 0. Let m be (4 + -1)*o*60\/18. Solve -3*p + z = -2, -5*p - 7*z - m = -2*z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 939.991us to milliseconds.\nAnswer: 0.939991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.09, 9\/4, 3, 1, 0.2?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1189 (base 10) to base 4\nAnswer: -102211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 192 and 7.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7482 is divided by 258.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*3*(-4)\/84?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*t - 12. Is 1\/19 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/23383 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 1)*(3 - 4 + 0)*(0*o - 2*o + o)*(-o**3 + o**3 + 7*o**3)*(3 - 2 - 2) as z*o + c*o**2 + u*o**4 + y + g*o**3 and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 6) to base 14\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**3 + 2*f + 3. Let c be w(-2). Let b = -20 + c. Suppose 0 = -3*q + b, -2*j + 4*q + 526 = 3*j. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (7 - 1) - (11 + -3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/9*(-209 + 208)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 11) to base 6\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1247284 to the nearest integer?\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*m)*(-1 + 3 + 0)*(7 + 324 - 835).\nAnswer: -2016*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/60 + 3\/(-15) + 1. Put 1\/3, 0.07, -0.1, h in descending order.\nAnswer: h, 1\/3, 0.07, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 877 divided by -420581.\nAnswer: -877\/420581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 11*f - 1. Let g be w(-10). Let z be g + 0 - (0 - 0). Suppose 5*t + z = 34. Which is the third smallest value? (a) 4 (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - 90?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/25)\/((-3)\/3).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + ((-120)\/25 - 3).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*d = 1, 0 = -3*x - 0*d + d + 21. Suppose -5*h + x = -n - 2*h, 15 = 3*h. Let w(s) = -n*s - 3 + 2*s + 3*s. Calculate w(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 757.5950719239\nAnswer: -752.5950719239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -45735*v + 4070411. Determine u(89).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -35*l**3 - 6*l + 6. Let g(h) = 700*h**3 + 119*h - 119. Suppose 3*r + 32 = -5*i + 645, 5*r = -i + 149. Give i*k(b) + 6*g(b).\nAnswer: 35*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/10584 and -97\/693.\nAnswer: 116424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -124980887.9 and 4?\nAnswer: -499923551.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -42, -91, -182, -321, -514, -767, -1086?\n\"Answer: -l**3 - 15*l**2 + 3*l - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p + 0 + 0 + (-54 + 13 + 11 + (-4 + 1 - 2)*(6 - 2 - 2))*(p + 4*p + 0*p).\nAnswer: -202*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2599 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*y + 80 = 100*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by (-15)\/(0\/(-5) + 0 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -7. Let s = -6902.3 - -6902. Which is the second smallest value? (a) w (b) -8 (c) s (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43806*n**3 + 7*n**2 - 45614*n**3 - 12*n**2)*(-3 + 2*n + 3).\nAnswer: -3616*n**4 - 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42574444433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4431 is divided by 321?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**4 - 4*y**3 + 2*y**2 + 4*y = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36830 + -19112. Let v be 4 + (-40)\/4 - -38. Suppose -26*o - p = -v*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 + 20 + h + 2*h**3 + 3*h**2 - h**3. Suppose 2*z = 6*z - 8*z. Determine d(z).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6337.254 millilitres?\nAnswer: 6.337254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {b: 1, w: 3, x: 1, e: 3, i: 2, p: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 1:27 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14789*j - 3353*j - 14734*j.\nAnswer: -32876*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -34 + 61 - 30*f + 51*f**2 - 2*f**3 + 6*f. What are the prime factors of o(25)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 - 2*z - 6. Let j(i) be the first derivative of 2*i**3\/3 - i**2\/2 - 4*i - 6. Let f(p) = -8*j(p) + 5*o(p). Give f(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33.5? (a) -0.5 (b) 1 (c) -0.32 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3850\/(-1100))\/((-14)\/(-128))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2856 * 1.\nAnswer: 2856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12425 rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + c**2 - 3*c - 1. Let z be (7 + -3 + -5)*-2. Suppose b + 26 = z*b. Let i = b - 28. Calculate r(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13893353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52503 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 17.8. Suppose 6*r + 0*r + 48 = 0. Let o be 1\/((-2)\/r*-22). Which is the fourth smallest value? (a) -3 (b) 2\/3 (c) o (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/176 and 103\/934318?\nAnswer: 7474544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/33 and 103\/1258794?\nAnswer: 13846734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 376.0772 millimeters to centimeters.\nAnswer: 37.60772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13413 - -103?\nAnswer: -13310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from upqauuhahquvhuh. Give prob of picking 1 p and 2 a.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 9*v**2 + 2*v - 30. Let c be t(9). Let x be (-39)\/c + -3 - (-2235)\/20. Calculate the greatest common factor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -5, 2\/33, 5, -1, -14.\nAnswer: -14, -5, -1, 2\/33, 4\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-3*-2*sqrt(192))\/sqrt(4) + -5).\nAnswer: -144*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 2 = z, -p + z + 5 = 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 100012 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**9*b**(-1)*b**(2\/7)*b**9\/b)\/((b*b*b*b**1*b*b*b)**12\/(b**(-1\/2)\/(b*b*b**(-1)))) assuming b is positive.\nAnswer: b**(-969\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/1 + 3)*1. Let n(x) = 5*x - 8. Is 11 a factor of n(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19855 + 28887. Suppose 6118 + y = 15*z. List the prime factors of z.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l + 56 = -19 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-2) - 5 - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5076 by -6.\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - 2*t - 2180. What is h(33)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*o + 139 = 0, -y + 0*o = 2*o + 31. Is 6\/y - (-4278)\/54 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from kttddtkwtlwb.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 6. Let x(s) = -9*s**3 + 2*s**2 - 4*s + 4. Let f(k) = 10*k**3 - 3*k**2 + 5*k - 5. Let r(j) = -5*f(j) - 6*x(j). Is r(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107\/2 - -55. What is the nearest to -1 in i, 11, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 250138.9km to nanometers.\nAnswer: 250138900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 89 = -7*q + 5*s, q - 29 = -s. Calculate the highest common factor of q and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -38, -149, -336, -599, -938?\n\"Answer: -38*z**2 + 3*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -831321055 minus 34?\nAnswer: -831321089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, 4, 21\/5, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -890.\nAnswer: -1\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27077*h - 5*a = -27075*h - 58, 141*h + 83 = -3*a + 677 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1571350788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.733 + 411.267. Let k = v - 412.358. Let f = k - -0.3580191. Round f to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11622286 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*k - 5 = -27*k. Let f be k\/(-15)*(9 - 3). Let u = 63 - 60. What is the closest to f in -3\/8, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21239, -41264, -61291, -81320?\nAnswer: -101351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480306517.\nAnswer: 43, 1277, 8747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44896?\nAnswer: 2, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 b, and 1 q when four letters picked without replacement from {d: 2, b: 2, q: 1, i: 2, m: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/1365 and 57\/35.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 19, u: 1}. Give prob of sequence ul.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -41*w - 17. Let x(f) = -15*f - 6. Let n(h) = -6*r(h) + 17*x(h). Let k(l) = 15*l. What is k(n(t))?\nAnswer: -135*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 11:26 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80515?\nAnswer: 5, 16103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6 + 7450\/57. Let r = 131 - o. Let s = -101\/190 + r. Which is the second biggest value? (a) -5 (b) 0.2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 143?\nAnswer: -13f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 q when three letters picked without replacement from qqzzzzqzqzzzqqqzqzqq.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 71*p - 1290 = 3*w, -83*w + 80*w + 2*p - 48 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12925356?\nAnswer: 2, 3, 23, 46831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*g + 10. Suppose 0 = g*c - 55 - 135. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 - 2*z + 3)*(1 - 2 - 1)*(-5*z + z - 4*z).\nAnswer: -32*z**2 - 64*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 703572.8 weeks in hours?\nAnswer: 118200230.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(500)*1)**2*-4 + (-5*sqrt(500)*-2*5)**2.\nAnswer: 1248000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + -2. Let u(l) = 31*l + 1242. Let v be u(-40). Put -4\/3, w, v in descending order.\nAnswer: v, -4\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w + 43. Let j be l(8). Suppose -824 = -4*a - 4*i, 0 = 2*a - 7*i + j*i - 442. What are the prime factors of a?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15186\/19 + 800. Find the common denominator of -61\/4 and t.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1283*j**2*r**6 - j**2 + 711*j*r**2 - r**6 wrt r.\nAnswer: -153960*j**2*r**3 - 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pbxbbbbpbpp. What is prob of picking 1 x, 2 p, and 1 b?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1297644 + 0*c + 2*c + 1297648.\nAnswer: 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2895*a*h**3*p - 63*a*h**3 + 71*a*h**2 - 2*h**3 wrt p?\nAnswer: -2895*a*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 176 + 4 = 0. What are the prime factors of (-1 + t\/8)\/(6\/(-8))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 60266 - 5?\nAnswer: 60261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 822884.3 kilometers to millimeters.\nAnswer: 822884300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6505 - -2874. What is n rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/7))\/(h**(1\/10)\/h*h) assuming h is positive.\nAnswer: h**(83\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4257292248 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-1)*(47\/(-2) + -1). Let v(c) = c**2 + 5*c - 1. Let r be v(-6). Suppose -m + 1 = -r*o - 33, -m - o + 52 = 0. Is m smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -180*d - 202. Is j(-9) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 4:03 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 3, 2\/11 in decreasing order.\nAnswer: 7, 3, 2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/7, 18\/13, -4?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1952 - 1947. Let r(v) be the third derivative of -1\/144*v**4 + 0 + 0*v - 1\/360*v**5 + 0*v**3 + g*v**2. What is t in r(t) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18617 is divided by 814.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -33 + (3 - 1 - -9 - -6)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**3\/3 - 4*o**2 - 7*o. Let i be p(6). Suppose -i = -2*u + 8. Calculate the remainder when 29 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 + 36 - 185 + 39 + m.\nAnswer: m + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*p - 133 - 43 = 19*p. Calculate the greatest common factor of 1925 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 34?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0*x - 4. Suppose 0 = -7*j + x*j - z - 16, j + 3*z = 8. What is the remainder when 65 is divided by (-172)\/(-8) - 2\/j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*i + 33*i - 66*i + (2*i - 2 + 2)*(4 - 4 - 1) - i + 3 - 3 - 2 + 2 - i.\nAnswer: -58*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 36589608 divided by 16\nAnswer: 4573701\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 + l**2 - 3*l - 3. Suppose 3*r + 3 = 4*r. Suppose 7*w - 10 = 12*w. Let u(y) = -y**3 - 2*y - 2. Calculate r*u(v) + w*o(v).\nAnswer: v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.565 rounded to zero decimal places?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n - 7. Let v be a(-5). Let l = v - 8. Solve w - l*i = 20 - 0, -w - 15 = 2*i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -60121041?\nAnswer: -60121040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4921*y - 88535. Determine b(18).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 1891.1?\nAnswer: -1895.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 100 = -23*b. Suppose 3*g = 5*k - 1937, 4*g - 668 = -b*k + 856. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 0 + 5\/6*f**3 + 0*f - 1\/24*f**4 + 4*f**2. What is k(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/846*47*54.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12\/272941 + -7972879071\/10917640. Let a = 3649\/5 + z. Calculate the common denominator of a and 69\/4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.4615 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 10:39 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 3*t + 1105125 - 4479486 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 453167080 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 23. Suppose -2*m = 2*m + 3*i + 16, -19 = f*m + 4*i. Put -2, m, 3 in decreasing order.\nAnswer: 3, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1347.1 (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28a + 42?\nAnswer: 2cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 44367718 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 23, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 7:33 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*l - 195*l + v = 13, -4*l + 3*v = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 3\/2 + (-1284)\/(-24) + 11.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3754.6 * 10\nAnswer: -37546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kd when two letters picked without replacement from {n: 1, k: 2, d: 9, c: 2}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -3. Let d be 2\/(-3) - 2\/j. Sort -4, d, -1.\nAnswer: -4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-824)\/1030)\/(2\/(-19275)).\nAnswer: 2, 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58\/1255 or 1?\nAnswer: -58\/1255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59107223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36*-1)\/6*(-6)\/(-18). Let a = 55273\/94 + -588. Let t = a - 949\/846. Which is smaller: t or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -2 (c) 2\/25 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 48*x**2 - 263*x + 27. Determine g(-41).\nAnswer: -957","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*v**2 - 3 + 3.\nAnswer: -95*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 842*d + 995*d + 684*d - 2230*d.\nAnswer: 291*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -101 + 21 + -14 + -2 + (-26 - -10).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/140 and -37\/28156.\nAnswer: 985460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**4\/4 - 20*d. Let p(u) = 12*u + 4. Let q(w) = -13*w - 5. Let i(j) = 5*p(j) + 4*q(j). Calculate i(z(k)).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one twentieth of a day?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 5 - (-1 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -46. Let x = k + -18. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/93 or -1?\nAnswer: 7\/93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 5*t**4\/12 - 5*t**3\/6 + t + 67. Let c(h) = -56*h**2 + 58*h. Let a(j) = 6*c(j) + 68*o(j). Let a(v) = 0. What is v?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -2190288619?\nAnswer: 2190288621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-15) + 372\/5. Let f = k + -37. Let a = 1020 - 872. Calculate the highest common divisor of f and a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29.7 - -29.7273. What is s rounded to 3 dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d + 13518 = 0. Let r = -95755578\/11 + 8698298. Let v = d + r. Find the common denominator of v and 9\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -34653973 and -941933?\nAnswer: 33712040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 2*q - 15 = v, 4*q - 8 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-5 - -2)\/15). Suppose 0 = -3*m + 9, 2*c + x*m = -2 + 27. Solve 7 + 3 = c*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 525.7836 millilitres to litres.\nAnswer: 0.5257836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*f**4*q**3 + 55*f**2*q**3 - 625*q**3 + q**2 + q wrt f?\nAnswer: 28*f**3*q**3 + 110*f*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 60 - 71 - 120\/(-11)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -341 - -413. Calculate the greatest common divisor of t and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77641737 and 816.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1982 - 1742.3. Let x = 242 - i. Round x to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13151518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -2*c**3\/3 + 2. Let u(l) = 9*l**2 + 2*l + 2*l - 4*l. What is k(u(o))?\nAnswer: -162*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r - 16. Let x be j(7). Suppose 0*h - 2*h + 18 = 0. What is the second derivative of h*p**x - 5*p + 21*p - 4*p wrt p?\nAnswer: 180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 438, 0.2, 0.052?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 2 (c) -25 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*v - 807*v - 120446 = -267*v - 16214 for v.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**2 + 20314664*r - 25792848339556 = 0. What is r?\nAnswer: 2539333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/(s*s**(1\/4)))\/s)\/(s*s**(-3)))**0 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10416 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**3*f**4)\/((f*(f**1*f)\/f)\/f**(-1))*(f**(-1\/2))**29*(f*f**(-1\/2))**(-12\/13) assuming f is positive.\nAnswer: f**(-259\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 20 - 3*c)*(-90*c + 17*c - 78*c) + (0*c - 3*c + c)*(2 - 2 - c).\nAnswer: 455*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5285 - -5287.269. Let u = i - 2.227168. Let g = -0.042 + u. What is g rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33846028.5 + -23726605. Let g = x - 10119422.70000049. Let j = -0.8 + g. Round j to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 3521?\nAnswer: 351b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4521762327 to 2 dps.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 14 = -2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41467?\nAnswer: 41467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3225815 divided by -22247\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -9*t**2 - 9*t + 4. Let n(k) = 17*k**2 + 16*k - 7. Let a(u) = -7*j(u) - 4*n(u). What is a(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.95 + 2. Let t = u - -1.95. Let m be 4\/6 - (-17)\/(-3). Which is the nearest to 1? (a) m (b) -0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-62)\/2 - 0\/(-22). Let a(c) = -4*c + 127. Let m be a(u). What is the highest common factor of m and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173903?\nAnswer: 23, 7561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 12:44 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 170 + -113. Let i(g) = 5*g**2 + c*g - 57*g + 13*g**2. Let w(x) = -x. What is i(w(o))?\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (4 + -8 + 4)) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 852465131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 190767 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 595869361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 4*s + 70. Calculate the least common multiple of s and 25.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*g = -595*g - 288*g - 20126 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56\/2187 + -2144819\/317115. Let o = -33\/5 - s. Which is bigger: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 9 + 4 = 4*c, -2*b - 5*c = -14 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 59, 2, -7 in ascending order.\nAnswer: -7, -2, 2, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.83 + -0.03. Let s = -4.2 - q. Let m = -355 + 6033\/17. Which is the closest to m? (a) s (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-212)\/(-40) - 9\/(-90)*1. Suppose b*g + 0 + 3\/5*g**2 = 0. What is g?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 23*j**2 + 2.\nAnswer: 23*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 372 and 31713?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 8*c**2 - 4. Let z be p(8). Let r(q) = -q**2 + 9*q + 5. Calculate the remainder when -6*(2\/z + -1) is divided by r(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 110 + 9?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(104)\/(sqrt(8)*3).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 11, -426, -22, -2.\nAnswer: -426, -22, -9, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 47420952, 47420950, 47420948, 47420946?\n\"Answer: -2*z + 47420954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 27. Let x be o(0). Suppose -2 = 5*n - x. Factor 14*u**n - 9*u**5 + 14*u**3 - 4*u**2 - 16*u**4 + u**5.\nAnswer: 2*u**2*(u - 1)**2*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 0, -3, 4 in descending order.\nAnswer: 4, 0, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/2)\/(6\/(-9)). Suppose -22 + 7 = -y*k. Find the third derivative of 0*x**6 + 5*x**6 + 0*x**6 - k*x**2 wrt x.\nAnswer: 600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 1:05 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnknnnkrnrrnrrrrrkr. What is prob of picking 3 k and 1 r?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 6*j + 3. Let t(n) = n + 1. Let k(y) = 12*y - 5. Let g(s) = j*k(s) + 5*t(s). Is g(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -7*j**5\/2 + 13*j**3\/2 - 13*j - 3. What is the second derivative of y(k) wrt k?\nAnswer: -420*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -113. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/18 and (-1*1\/8)\/((-2)\/(-38)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*t = -4*m + 2025, -4*t = -3*m + 2021. Let c = m + -359. Suppose 6*x - c = x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -202, 8, 5, 1, -4, 2 in ascending order.\nAnswer: -202, -4, 1, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -a28 (base 13) in base 5?\nAnswer: -23344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 201820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887 - 1118 = -8*g - o, 5*g = -7*o + 138 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - a + 1. Let y(z) = -6*z**3 - z**2 + 6. Let l(w) = 5*j(w) - y(w). Let i be l(-2). Solve -i*p = 3*p + 40 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**3\/3 - b + 1945. Let w(n) = -12*n**2. What is -2*j(l) - w(l)?\nAnswer: 14*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f + 88. Let g = f - 26. Calculate the highest common factor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 4 (b) 5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 481*f**6\/6 + 151*f**2 + 575. Find the second derivative of u(l) wrt l.\nAnswer: 9620*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 16891*g**2 - 16890*g.\nAnswer: -g*(g + 1)*(g + 16890)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 2, -1, -3, 918 in descending order.\nAnswer: 918, 2, -1, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 55608 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) - (1*sqrt(847)*-1)**2.\nAnswer: -847 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1191, 1184, 1163, 1122, 1055, 956, 819?\n\"Answer: -g**3 - g**2 + 3*g + 1190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c, -2*n - 4*c - 9 + 127 = 0. Suppose -226 - n = -5*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/3 + (-2)\/(-3). Let a be (-4)\/(-2) - (0 + z + -2). Solve 0*h = a*h + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(1 + 6\/3). Let t(w) = -w**3 - 2*w**2 + 3*w + 1. Let p be t(r). Is p*-1*(3 - 208) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 3\/40 (c) -64 (d) -0.4 (e) 2 (f) 32\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*r - 19, -4*l - 3*r + 3 + 44 = 0. Let v(x) = -17*x + 47. Let o be v(-3). Calculate the highest common factor of l and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 689708744 divided by 4.\nAnswer: 172427186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 1. Calculate the common denominator of -109\/10 and (-333)\/(-66) + -1 + v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29494650)\/(-35550)*6\/38?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 8*c + 9. Let m be z(-6). Suppose 0 = -b + m - 1. Suppose 18*a - 130 = -58. Calculate the greatest common divisor of b and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90860 = -9*q - 16547. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2. Let l(c) = c**2. Let r(m) = l(m) + 2*w(m). Suppose -11 = -q + 4*s, 3*q - s - 2*s = 15. Let a(j) = -q*j + 2*j - j. Determine r(a(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 + 6*j - 6. Let q be s(-6). Suppose -36 - q = -6*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 616023\/(-10) - (-87)\/290. Let w = u + 8316358\/135. Find the common denominator of 119\/12 and w.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 - 35 + 35. Let c(p) = 3*p**2. Let h(w) = -6*w**2. Let f(l) = 13*c(l) + 6*h(l). Determine f(a(q)).\nAnswer: 27*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 116*p**3 - 2*p**2 + 3*p - 2. Let k be b(1). Suppose 18*w = k + 875. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -276 + 0 + 8*b + 4*b - 44 + 2*b to n*b + k and give k.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 928008*x**3 - 464028*x**3 - 463977*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 1171*o - 1168*o + 11, 0 = 4*o - 2*i + 28 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -54.9 and 142.\nAnswer: -7795.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 231 - 226.48. Let f = v + -5. What is f rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 353129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 7 = -l, 4*r + 6 = -l - 16. Suppose 4*j - 9*j + 1402 = -3*t, 5*t = -20. Which is the closest to j? (a) l (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 255 - -243?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 80874335*s**4 + 129472492?\nAnswer: 323497340*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 320\/(-55)*3234\/(-588)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaacpczqa. Give prob of picking 3 a.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 14*v**2 + 5*v + 5. Let q(o) = 7*o**2 + 2*o + 2. Calculate -2*i(y) + 5*q(y).\nAnswer: -2*y**3 + 7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14, 57, 124, 227, 378, 589?\n\"Answer: 2*z**3 + 29*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = p - 34. What is the remainder when p is divided by 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 0 - 1\/10*j**5 + 0*j + 0*j**3 + 0*j**4 - 5*j**2. Let l(o) = -o. Determine c(l(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 162.144 - 162. Let p = j - 0.644. Let h = -3 + 6. Which is the nearest to 2\/3? (a) 5 (b) p (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.793 - -0.107. What is z rounded to zero decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x**2 - 11874 - 48*x - 3*x**3 + 5978 + 5932 = 0 for x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80045320 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, r: 1, p: 1, w: 1, e: 1, f: 2}. What is prob of sequence wr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -220, -444, -670, -898?\nAnswer: -1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 0*d - 2*v + 28, -4*d - 4*v - 44 = 0. Which is the nearest to d? (a) 5\/4 (b) 1\/6 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -881*w + 2682. Give t(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + (sqrt(1216) + 0)**2 - sqrt(1216) - sqrt(1216)) + (sqrt(1216) + (sqrt(1216) - (sqrt(1216)*3 + 5) - sqrt(1216)) + sqrt(1216))**2 + sqrt(1216).\nAnswer: 72*sqrt(19) + 2459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/6020 and -15\/792656?\nAnswer: 1192947280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 17*w + 136. Let m be n(-8). Solve 7*q + 11 + 24 = m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.7 - -8.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/25095 and -41\/8843.\nAnswer: 928515","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2891770 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 390, 388, 386, 384, 382, 380?\n\"Answer: -2*u + 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utumtsmxtsxtccctst. What is prob of sequence st?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1415035 (base 7) to base 2.\nAnswer: 101110001001011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49 - -30. Let v = -65 - i. Let w = v - -45.9999896. What is w rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/507? (a) -0.5 (b) -0.01 (c) -8 (d) 0 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 + 70. Find the first derivative of 25 + 6*q**3 - b*q**3 - 5 wrt q.\nAnswer: -54*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74194 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 1513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 3 + 1)*(0 - 5 + 4) + 68 - 43 + 48)*(3*u**3 + 9*u**3 - 3*u**3) - 2*u**3 + 3*u**3 + 0*u**3 in the form o*u + z*u**3 + n + g*u**2 and give z.\nAnswer: 649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3500*z - 1 + 3500*z + 171*z**2.\nAnswer: 171*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-15)\/(-10)) + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/9)*r**(-2\/3))**(-5\/3)*((r\/(r**(2\/5)\/r))\/r*r)\/((r**6*r)\/r)*(r\/r**0)**(-25) assuming r is positive.\nAnswer: r**(-3869\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 361640, 723202, 1084764, 1446326, 1807888?\n\"Answer: 361562*b + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 42 = -g. Suppose -3*y = -2*w + g, 50 = 2*w + y + 9. Let b(o) = o**3 + 7*o**2 + 10*o + 16. Calculate the least common multiple of w and b(-3).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 50546, 51234, 52380, 53984?\n\"Answer: 229*q**2 + q + 50316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225158 is divided by 28129?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 3*p - 3. Let i be l(-2). Suppose 2*g + 0*g = -10. Let m = 0.293 + 0.207. What is the third biggest value in m, i, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4 - t - t + 1. Let s be o(0). Suppose s*d - d = 228. Is d a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-882)\/63*48\/(-21).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23357758 is divided by 3356?\nAnswer: 3354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -800705553\/3002 - -266724. Find the common denominator of s and -65\/6.\nAnswer: 9006","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46730 and 70095.\nAnswer: 140190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8285 and 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = z - 3*n, 25 = 5*z - n + 10. Suppose j = -4*q + 25, -3*q + 10 = -5*j - 3. Solve -y = z*y + q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2699897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b - 8. Let d be u(6). Solve 4*x = -0*x + d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008104 rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/8, 16, 2.218 in descending order.\nAnswer: 16, 2.218, 5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**4 - y + y + (-y**3 + 5 - 5)*(2*y - y - 3*y) + 3*y**4 + y**4 - 2*y**4 + 2*y**2 + 2*y**4 - 2*y**2)*(-2546 - 2315 - 241).\nAnswer: -20408*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 47906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 4*g = -2*g - 4, -10 = m - 5*g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 19*k**5\/60 + 11*k**3\/6 - 25*k**2. Differentiate a(m) with respect to m.\nAnswer: 38*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2 + 5814*g - 11620 = 0 for g.\nAnswer: 2, 2905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 62862079117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 7 - s**2 - 853*s - 3*s**3 + 847*s in the form i*s + m + b*s**2 + j*s**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (1 - 1) - -2. Let t be -1*(-1 - z)*-1. Suppose t = 2*j - 4 - 6. What is the third biggest value in j, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19481.\nAnswer: 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from {w: 5, f: 2, d: 6, o: 1, h: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1052960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4502600 and 220?\nAnswer: 49528600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 32 = 3*f + 5*y, 5*f - 3*y - 20 = 0. Suppose -320 = -12*x + f*x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -50\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by -45.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -12. Calculate the smallest common multiple of 14 and -12*6\/(-27)*a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hei when three letters picked without replacement from {h: 5, p: 1, f: 2, i: 3, e: 6, b: 2}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 164140\/5800 + 1 + -10 - 19\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/268008 and 101\/52?\nAnswer: 268008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1176620 to the nearest 1000.\nAnswer: -1177000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*m - 6 = 3*p, -4*m = 2*p + 4. Let q = -0.2 + 0. Which is the second biggest value? (a) 4 (b) q (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -1, 18\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.61.\nAnswer: -0.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 1, 2\/7, -3, 4451?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1348706.\nAnswer: 2, 89, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-7 + 6) - (3 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(192)*-2 + sqrt(192) + sqrt(192) + sqrt(192) + (sqrt(192) + 1)*-5)*1.\nAnswer: -5 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) 10\/3 (c) 2\/9 (d) -1\/10 (e) 0.055 (f) -1 (g) -0.03\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five sixths of a decade in months?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 7*k**2 + 4*k + 2. Calculate the least common multiple of u(-6) and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 19 - ((-2)\/23 + (-10575)\/4025)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.76408409 plus 6?\nAnswer: 22.76408409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/17, 0.4, -3, -4255, 0.06?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*n + 104*n + 375 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 468359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, o: 2, d: 2}. What is prob of picking 1 k and 1 d?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 43*s**2 - 16*s - 9. Let b be j(-11). Let o = -1570 + b. Round o to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78850 = 78860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(20)\/sqrt(5))\/sqrt(2).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 965a2 (base 11) to base 10.\nAnswer: 140472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 23*y**2 - 40*y - 302. Let z be n(-24). Calculate the highest common factor of 22 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - 3\/(-8 + 2)*-4. Let o be 4\/g + 323\/57. Suppose 0 = -3*r + r + 2, 4*r = -o*t + 24. Solve -2*u - 8 = -2*z, 3*z - t - 9 = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -221\/1030 - -3\/206. Which is the second biggest value? (a) -16 (b) p (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 16. Suppose -5*b + 5 = -j. Let v(d) = -d**3 - 7*d**2 + 5*d + 11. Let g be v(-8). What is the greatest common divisor of b and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 3:35 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 64808557651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7480266074.4 take away -0.4?\nAnswer: 7480266074.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*f**2 + 19*f**2 + 21*f**2 + 4 - 4*f + f**4 + 17*f**2 to u*f + m*f**3 + l*f**2 + c*f**4 + n and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 200, 202?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13723, 13731, 13739?\n\"Answer: 8*x + 13715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 9:28 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2 - 32*i - 254770 = 0. Calculate i.\nAnswer: -349, 365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 + 7*j - 2. Let c be n(-5). Suppose -3*p - 1 = -c. What is the highest common factor of 20 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/((f**(-1)\/f)\/f))**(3\/8)\/((f*f*f**(-1\/18)*f*f*f*f*f*f)\/(f*f**(7\/6)\/f)) assuming f is positive.\nAnswer: f**(-353\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13509504*x**4*z - 69*x*z - 194030*x wrt x?\nAnswer: -162114048*x**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3335, -3342, -3359, -3392, -3447?\nAnswer: -3530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4584, 9285, 13986, 18687?\nAnswer: 23388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -173 + 166. Let a(p) = 6*p**3 - 6*p + 55. Let w(i) = 6*i**3 - 7*i + 56. Let z(c) = b*a(c) + 6*w(c). Differentiate z(q) wrt q.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 - 1225 + 2*y**3 + 1242 + (4 - 4 - y**2)*(2367 - 235*y - 2367) as h + p*y**3 + m*y**2 + a*y and give p.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -125\/2 + 63. Is 0.4 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.107 and -0.5.\nAnswer: -0.607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3577.\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2926325892?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95966.39997 + 95967. Let m = 0.6 - a. What is m rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4668\/811 less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/7 of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 712 = 4*x - 0*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 8*f**2 - 15*f + 9. Give c(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 721836933 rounded to the nearest one million?\nAnswer: 722000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**0\/c)\/c)\/c*c)**(-18\/11))**(-2\/69) assuming c is positive.\nAnswer: c**(-24\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2. Let j be g(2). What are the prime factors of (-84)\/(-3 - 1) + j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -100, 197814, -1 in increasing order.\nAnswer: -100, -1, 197814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3444869, -3444872, -3444877, -3444884, -3444893, -3444904, -3444917?\nAnswer: -3444932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -134 by -3.\nAnswer: 134\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8124, -16248, -24374, -32502?\nAnswer: -40632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.3 - 2.2. Let x = 8 + u. Let p = -1.552 + x. Round p to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 19\/14, 0.01, 0, 0.21, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -37, 65, -13, -4, 5 in descending order.\nAnswer: 65, 5, 2, -4, -13, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*n + 82, 2*c - 92 = -5*n + 10. Let p = 0 + n. Solve 4*o - p = -0*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 37280.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23357 - -104638. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1104*-9.3\nAnswer: -10267.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 22 - 3 = z, -4*f = -5*z - 29. What is the third derivative of -4*j**3 + 3*j**3 + j**3 + 2*j**2 + 3*j**f wrt j?\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(243)*-6)\/(sqrt(9) - (sqrt(90) + sqrt(90) + sqrt(90) + sqrt(90)*2)\/sqrt(10) - (sqrt(81)*-2 - sqrt(9))).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 - 3744 + 1871 + 1873.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -13 - (-1 - 28 - -11) - -44?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 195 - 197. Solve -u + 3*g = 2, 0*g + d*g = 5*u - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4821, -4806, -4785, -4758?\nAnswer: -4725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 5 + 15 - 8)*(-d**2 - 2*d**2 + d**2)*(-2 - d + 2).\nAnswer: -2*d**4 + 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -0*k - 5*k. Suppose -k*a = n - 62, 3*n = -6*a + 4*a + 166. Calculate the remainder when n is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, a: 12}. Give prob of sequence aaaa.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 633\/95 - 12\/30. Let d = v + -1649\/57. What is the common denominator of -127\/30 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (1 - 0) - (-90 + 98)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 + 139*h - 798. Calculate w(6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**3 - 4*t**2 - 587*t + 3. Let g(k) = 14*k**3 - 19*k**2 - 2938*k + 14. Give -4*g(x) + 19*l(x).\nAnswer: x**3 + 599*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10001010 (base 2) to base 11\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10435135679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 850*k - 12501. Calculate w(15).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -18\/193 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 1:13 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + (4 + 24 - 34).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16689250 rounded to the nearest ten thousand?\nAnswer: 16690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o + 2. Let g = 40 - 36. Let c(d) = -75*d + 5 + 75*d - g - d**2. Let h(k) = 2*c(k) + n(k). Calculate h(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 f when four letters picked without replacement from fpffpp.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 4*p - 2*p)*((1 + 1 - 4)*(-2*p**2 - 2*p**2 + 3*p**2) + (-p - 6*p + 11*p)*(94*p - 93 + 93)).\nAnswer: 1134*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgmv when four letters picked without replacement from vvvgwvgvvwwmmvgvvwv?\nAnswer: 15\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.51255 to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0046 times -2?\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 - 39*x - 58. Let r be q(22). Is r >= 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 3*m + 2*m - 3*m + 13. Let r be f(-8). Suppose -4*a = r*a - 5283. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + f + 2014 = -3*f, 4*u + 5*f = 4041. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/2)\/(1\/2). Suppose -3*x + 5 = -2*h, -b = -5*x + 4*h + 4. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -9*i**3 - 4*i**2 - 3*i - 8. What is t(-3)?\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1720 and 115\/1032?\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/4 of a hour?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z + 16. Let x be p(-5). Let g be (x\/(-3))\/((-12)\/(-27)). Suppose g*i - 7 - 2 = 0. Solve -4*s + 3*s + 18 = -i*q, 4*s + 2*q = 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 444.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5 = 0, 2*q + 0*g + 25 = -5*g. What is the nearest to q in 3\/8, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192 and 760192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 4:11 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.93744 weeks to seconds.\nAnswer: 28387763.712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u + 154810 = -227010. Is u < 11232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24208 and -4?\nAnswer: 96832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, y: 4, v: 1, i: 3, p: 4, f: 2}. What is prob of picking 1 y, 1 f, and 1 v?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -v**3 + 231486*v + 23802846.\nAnswer: -3*v**2 + 231486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 3*g**2 - 3*g + 4. Let c be j(0). Let r(a) = -a**2 + 5*a + 3. Give r(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1204 divided by -44\nAnswer: 301\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 671 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18520 + 18519.965. Which is the third smallest value? (a) q (b) 0 (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 + 4 + 17*f + 98*f - 5 in the form k + c*f + p*f**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -16360451\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 5*k + 31*k - 60 = 0. Solve -5*q = -k*w + 8, q + 8*w - 11*w - 8 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 11*u. Let z(s) = 246181*s. Determine z(c(t)).\nAnswer: 2707991*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -271, -202, -133, -64?\n\"Answer: 69*r - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 19 = 2*k - 3*d, -k = -d - 5. Solve 5*w = 20, -k*q = 6*w - 8*w + 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.1, -0.371, -0.3, 0, -1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-142*i**2 - 335*i**2 - 111*i**2)*(-3 + 2 + 0)*(-3 + 3 - 1)*(-32 + 4*i**2 + 3*i + 32) to the form u*i**3 + g*i**4 + w*i + c + d*i**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z - 138 = 137. Suppose x - 12 = 13*x. Sort 3, x, z, 2 in increasing order.\nAnswer: x, 2, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 3*i + 6, 4*u + 3*i + 48 = 7*i. Let k = -3 - u. Let f be (1\/(-4))\/((-1)\/k + 0). Solve 5*v - f = 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-20)*12\/(-9). Let i = 17 - 11. Let w = 10 - i. Sort w, k, 1\/5 in descending order.\nAnswer: w, k, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 6*i - 2*i + z, 0 = -4*i + z + 172. Suppose -5*p - 13*p = 89*p - 4601. What is the highest common factor of i and p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -27*n**2 - 69*n + 677. Determine v(8).\nAnswer: -1603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -281*i**3 - 55*i**2 - 3*i wrt i?\nAnswer: -1686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n + m + 544, 2*n + 4*m - 524 = 0. Let h be (-385)\/390 - (n\/(-65) + 4). Which is the third biggest value? (a) h (b) 5 (c) -4 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -129 + 145. Suppose 21*v - 40955 = f*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 278 - 101. Let r be v\/(30\/(-8)*(-2)\/(-5)). List the prime factors of 1\/(-4)*-6 - r\/4.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67041 and 9477?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2 + 11*a - 180 = 0.\nAnswer: -20, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 9 = l. Let r(t) = -t**2 - 29*t + 16. Let m(b) = -7*b + 4. Let c(x) = -9*m(x) + 2*r(x). What is c(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -92 + 167. Calculate the greatest common divisor of 15 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 - -a3?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19*(-34)\/646)\/(((-12)\/105)\/(-4)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 5, h: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 76, 20, 2, -3\/5, -0.3, -2 in increasing order.\nAnswer: -2, -3\/5, -0.3, 0, 2, 20, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6344717 is divided by 1268942.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 19*n - 22*n + 23 = 0, v - n = -6. Sort 18, -1, -3, v, 27.\nAnswer: -3, -1, v, 18, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 8\/3*r**3 + 7*r + 0*r**2 + 0. Let o(h) = -3*h. Calculate -3*n(a) - 15*o(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.785 * -0.12657\nAnswer: -0.09935745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1785)\/(-3570))\/(2\/(-136)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/11 in -1, -5\/3, 2\/7, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 1839432*r + 281959173552.\nAnswer: 3*(r - 306572)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6}. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.715 - -0.415. What is the closest to 7\/9 in 2, j, -4, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -5\/132*v**6 + 5\/33*v**4 - 71*v**2 + 5\/1848*v**8 - 4\/33*v**3 - 1\/1155*v**7 + 0*v + 1\/66*v**5 + 0. Solve d(p) = 0 for p.\nAnswer: -2, -1, 1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r - 13. What is the remainder when 57 is divided by f(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p + 0 + 5\/6*p**3 - 1\/20*p**5 + 1\/30*p**6 - p**2 - 1\/4*p**4. Let a(h) = 0. Calculate h.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*r - 4*g, -r - 3*g = -4*g - 5. Let s be (-80 - (6 + -1)) + 1. Let v = 88 + s. Solve -v*t = -r + 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 134 = -3*h. Let x = -2 - -28. Let w = h - x. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.212 + 0.212. What is the closest to -2\/7 in 1\/9, -4, b?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (22\/3)\/((-12)\/54). Let b = o + 65. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -7a9b177?\nAnswer: 7a9b177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-966) - 236075\/320068?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37605.\nAnswer: 3, 5, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43)\/(-129) - (-145)\/(-525)*1?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4 = -m. Suppose -2*h + m*h = -96. Let n = h - -191\/4. Is n equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.2 - -1.2. Let h = -14.732 - 0.468. Let w = h - l. What is the second biggest value in w, 4, -11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5}. Give prob of sequence ll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 9*v**2 + 2*v - 11. Let o be p(9). Is 19\/3 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 7 = -9. Let b = -163 - -182. Let i(u) = -12*u**2 - 9*u**2 - u**3 + 1 + b*u**2. Give i(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 19, 8 in descending order.\nAnswer: 19, 8, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 99*l - 30*l)*(l + 3*l - 6*l)*(2*l - 2*l + l).\nAnswer: 252*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 328 + -326. Calculate the lowest common multiple of g and 17.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 165\/(-216) - 10\/80\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/3)\/((-1)\/2). Suppose 5*q - 4 = 3*q. Suppose -5*x = -q*a - 370, 222 = l*x + x + a. Does 19 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 3\/10, 0.2, 1\/2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 4)*(5 + 4*c - 23*c**2 + 15*c**2 - 3*c) as b*c**2 + w + j*c and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 12 - 14 + 2*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*c + 12 = 4*k, -k + 15 = 3*c. Let i = 385215\/40024 + 2\/5003. Which is bigger: k or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/3? (a) 7 (b) -2\/5 (c) -4 (d) 8 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -115*j + 32701. Determine l(279).\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/89866608 and 49\/568776.\nAnswer: 89866608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 7420710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1 + sqrt(637))*-3)**2*1 + (sqrt(637) - (sqrt(637) + (sqrt(637)*-3 + sqrt(637))*-5) - -6*sqrt(637)*-3).\nAnswer: 14*sqrt(13) + 5758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 20 = 2*b. Suppose -3*q + 33 = b*s + 1, 2*q + 9 = s. Which is greater: s or 63\/8?\nAnswer: 63\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 31\/2 (b) 25363 (c) -0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 5*m + 179 - 4, 0 = -5*l - 2*m + 140. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*l - 22. Let h = l - -12. Let r = 68 - h. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -157068, -315037, -473006, -630975, -788944?\n\"Answer: -157969*x + 901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 8\/51, 19, 1.5?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 - (-2)\/(-1)) + (-2 - -5). Suppose -2*w = -3*k - q, 4*w - 6 - 8 = 5*k. Let d(i) = -2*i - 7. Let j be d(-5). Sort -4, w, j, 5.\nAnswer: -4, w, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1237*t + 1102*t**2 + 1237*t - 185*t**3 - 1102*t**2.\nAnswer: -185*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -1588?\nAnswer: -1587.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2061 + 3487 - 3113)*(6 + 3*n - 6).\nAnswer: 7305*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 5:53 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 3*y**4 + 5*y**4 + 5*y**4 - 2*y**2 - 2*y**4 as h*y + k + m*y**2 + c*y**3 + i*y**4 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-63)*516*(-39)\/(-52).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 126?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**2 - 34 + 42 + 3*b - 9 + 17*b**4 in the form d*b**2 + i*b + r*b**3 + x*b**4 + g and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 9*o**2 + 2. Let z be q(-9). Suppose -z*k = 115 - 689. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-50)\/(-8) + (-6)\/24.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/2*g**2 + 0 + 21\/4*g**3 + 0*g = 0. What is g?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + sqrt(19) + 1)**2.\nAnswer: 8*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -12*((-1)\/5 - 74\/555). Solve -44 + 64 = -q*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 713669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*l + 17*l + 54. Let p(k) = k**2 - 17*k - 14. Let g be p(l). Let n(s) = -s - 3. Determine n(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 3*f = -18*x + 187893, 0 = -3*x + 3*f + 187917. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -1 - 2) + 1. Suppose -2*h + 2 + 2 = i. Suppose -3*n = -5*d + 23 - 70, h*d - 10 = -2*n. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 81 = -3*o, 43*o + 35 = -3*z + 41*o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1.1, 4, 0 in ascending order.\nAnswer: -1.1, 0, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 666.968328216 - -0.034741784. Let j = t + -667. Round j to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 820444998 - -834.38.\nAnswer: 820445832.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 141 + -2395\/17. Which is the second biggest value? (a) -1\/4 (b) i (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 883*r + 94744. Determine x(-758).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-10))\/((-4)\/(-140)). Let s be ((-2)\/5)\/(1\/(-85)). Let o = s - z. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6239218 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 234*a - 12 = -239*a, -3*a - 12 = 3*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 179725104 by -4238.\nAnswer: -42408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/13)*y**(-1))**31 assuming y is positive.\nAnswer: y**(-465\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 22780791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-2)*5*2. Solve -r = -z*r - 70 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 4*o**2 - 10*o - 21. What is d(-5)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.6549 less than 2?\nAnswer: -11.6549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2303056 (base 7) in base 4?\nAnswer: -1012001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2 - 162*g - 164 = 0. What is g?\nAnswer: -1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 3*v + 8. Let h be j(0). Let x(k) = -4 - h + 12 + 11*k**2. Let c(u) = u. Let a(n) = -n. Let g(t) = 3*a(t) + 2*c(t). Give g(x(p)).\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 29 + 3*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4260\/2449 at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -31. List the prime factors of -2 - (-312)\/(u\/3).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -5 (b) 279 (c) 4 (d) 17\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 2)*(-9 - 16 - 2)*(2 + 0*g - 4*g + 5*g + g + 4 - 4 + (5 - 5 - 2)*(7*g - 4*g + g) - g + 1 - 1 + 4*g - 2*g - g) as m + s*g and give s.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4128\/(-1118))\/(-4*(-7)\/(-546)))\/(-1).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-3 - (4 - 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 1:39 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -3*d - 0*d - 12, -10 = 2*d - 3*m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 + -417\/8. Let u be 20\/(-25)*(-10)\/4. Suppose 3*j = u*z + 9, -4*j + z + 3 = -4. What is the nearest to -1 in 0.3, j, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 3)*-1*3. Suppose o - 5 + m = 0. Suppose -15 = 5*f, 2*b + 0*b + 4*f = 6. Solve -5*z + o*z - b = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t**3 + t - 10*t**2 + t**3 + 5*t**3 + 0*t**3 to the form x + g*t**2 + k*t**3 + r*t and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/45)\/((530\/11925)\/((-3)\/(-54))).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132344414 (base 6) to base 12.\nAnswer: a7510a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 5*a**2 + 6*a - 3. What is d(5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2. Let l(k) = -3*k + 4. Let h be l(4). Let t = h + 10. Let g(u) = u**t - 2*u**2 - u**2. Calculate g(y(i)).\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 47 + ((-2)\/(-4))\/((-1)\/(-2)). Factor 8 + 4*r - i*r**2 + 89*r**2 - 45*r**2.\nAnswer: -4*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 - 82. What is the nearest to 2 in f, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1099037 divided by 43\nAnswer: 25559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -603*d + 613*d - 108 + 3 as l + b*d and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**4 + 6*v**4 - 2*v**4 + (-2*v**3 - 2*v**3 + 6*v**3)*(2*v + 4 - 4) - 4*v**4 + 0*v**4 + 6*v**4 + v**4 + 0*v**4 + 3*v**4.\nAnswer: 11*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 11*i - 9. Let h(z) = 5*z - 4. Let a(y) = 5*h(y) - 2*t(y). Suppose 2*d - 5 = 1. Let m(v) = -3*v + 3. Calculate d*a(o) + 2*m(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -10*a + 17*a - 10 - 5*a - 10. Calculate the least common multiple of u(15) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 10:51 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 5*u = 2*q + 235, 12*u - 2021 = -4*q - 0*u + 55*u for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 84905 to the power of 1\/2, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + 432252?\nAnswer: 432263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102423977 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iiihhihhiiiiihhizih.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/1 + (-4 - -52). Let v = 46 - a. Factor -7*q**2 - 30 - 5*q**2 + v*q**2 - 39*q + 21.\nAnswer: -3*(q + 3)*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 9589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.4 - -2.4. Let g = z - 7. Let t = g + -0.4. Sort -0.3, t, -0.1.\nAnswer: -0.3, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-130)\/(-840)*14)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67437\/(-2413) - (-8)\/(-152).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.564845s in hours?\nAnswer: 0.0162680125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 6188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 + 39.1. Let g(k) = 3*k + 112. Let f be g(-35). Sort x, 2\/7, f.\nAnswer: x, 2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - 340939457915?\nAnswer: -340939457943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4356 and -6587588.4.\nAnswer: -6591944.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.27 - 1.37. Let o = 7.9 - u. What is the nearest to 1 in 2, -8, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1951301 rounded to the nearest ten thousand?\nAnswer: 1950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 7*l - 12. Differentiate -44 + 55*d**l - 10*d**3 - 2*d**3 with respect to d.\nAnswer: 129*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43812 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 44. Let g be p(40). Solve g*i = -4*y - 4, -y - 2*y + 3*i + 9 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51305945 to the nearest integer?\nAnswer: 7163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5483 * 0.196\nAnswer: 1074.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 350 and 23325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/((s*(s*s\/(s*s\/(s*s**(-1\/3))))\/s*s)\/s))**(12\/5)\/(((s\/s**(-1))\/s*s)\/s)**6)**(-1\/8) assuming s is positive.\nAnswer: s**(7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/27))**33 assuming c is positive.\nAnswer: c**(-22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 267031.9 millennia in centuries?\nAnswer: 2670319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -33\/2. Let p = 61\/155 + -6\/31. Which is the closest to t? (a) -1\/2 (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78188, 78428, 78828, 79388, 80108, 80988?\nAnswer: 82028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6}. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 28, 52, 100, 184, 316, 508, 772?\nAnswer: 1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztsstszvst. Give prob of picking 2 s.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 3 = -2*t. Sort t, 0, 5 in increasing order.\nAnswer: 0, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 (base 5) in base 16?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/36120 and 17\/196854.\nAnswer: 3937080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 2125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 605592.\nAnswer: 1211184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14174\/380 - 3\/(-1). Which is bigger: m or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1073444 to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2064 + 3026. What is h rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 5.9, 106.6, 2\/9, -4\/19.\nAnswer: -2\/7, -4\/19, 2\/9, 5.9, 106.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10710 + 112269.441?\nAnswer: 101559.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*k**3 - 8647*k**2 - 76679 wrt k?\nAnswer: 9*k**2 - 17294*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojjojdf. Give prob of sequence fdo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 14. Let d = g - -42. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 113*x = -117*x - 41, 0 = 4*a + 5*x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 19*o**2 + 5*o + 0*o.\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -9 (b) -5\/21 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isiitto. What is prob of picking 1 s and 1 t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23901485.\nAnswer: 5, 23, 307, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33001 (base 4) to base 2.\nAnswer: 1111000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5508451?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*b + 250 - 132 - 116 to the form i*b + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/13)*v\/v**11*(v**(-2\/3))**(9\/2) assuming v is positive.\nAnswer: v**(-171\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 217121\/28 - 7751. Find the common denominator of z and 279\/12 - 6 - -8.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-2) + 5\/130*13\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*(w*w**(2\/25))\/w*w**6*(w**(-5)*w)\/(w\/w**(-1\/5)*w) assuming w is positive.\nAnswer: w**(47\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 201\/(-15)*(-5)\/(-4) + 2 and 69\/94.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19188*d - 9592*d + 5 + 145*d**2 - 9594*d + 0*d**2 + 4*d**2 - 5*d**2 + (4 - 4 + d)*(2 + 2*d - 2) as i + j*d + c*d**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 35. Let z(r) = 5*r - 3. Is z(k) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 9 (b) -0.3 (c) -2495 (d) 5\/4 (e) -0.4 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 297658597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 82 = -74. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2 - 5*k**2 - 3 + 1. Let f(u) be the first derivative of -u**3 - 10 - 40 - 21. Calculate g(f(n)).\nAnswer: -45*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1511 and 0.02.\nAnswer: 30.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 2 + 2)*(154 - d - 154).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d**2 + 19*d**4 - 6*d**2 + 11*d**2 + 5*d**2 wrt d.\nAnswer: 456*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)*x)**(5\/16)*x**(-1\/16)\/(x*x\/x**4) assuming x is positive.\nAnswer: x**(31\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 5*c + 6*c)*(-1 - 3 + 1)*(5*c - c - 2*c) + 4*c**2 + 3*c**2 - 2*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1602 > 2673\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103.41 - 104. What is n rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h, 0*r + 3*h + 88 = 4*r. Let t be (-1 - 312\/(-22)) + (-4)\/r. Suppose -4 = 2*b + 3*z + 9, -4*b + 29 = -5*z. Solve -4*y - t = -b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*g - 1664 + 596, 1609 = 3*g - 4*p. What are the prime factors of g?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + 1)*3 + -2*(-2 + sqrt(891)).\nAnswer: 7 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-82)\/20 - ((-102)\/20 - -5). Put -30, 12, o in descending order.\nAnswer: 12, o, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k - 10*k - 18*k + 27*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 12, h: 6, r: 1}. What is prob of sequence nhr?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0164908872 rounded to six decimal places?\nAnswer: 0.016491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -3946 to the nearest 100.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4804 and 347089.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-0.0365.\nAnswer: 0.0146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 6*u + 78. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 divided by 87?\nAnswer: 88\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 543*b**3 + 2789*b**3 + 3.\nAnswer: 2246*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10422*f*l**2*r**2 + 2*f*l*r**2 + 7*f*l*r + 40*f*l + 433*f*r**2 + 296*f*r - 2*l**2*r + 2*l**2 + 2*l*r + 2 wrt r.\nAnswer: 20844*f*l**2 + 4*f*l + 866*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(171)*-4.\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 - 13*p - 4. Let y be z(-6). Solve 2*v**y - 9*v**3 + 3*v - 33*v**4 + 8*v**2 - 18*v**5 - v**2 = 0.\nAnswer: -1, -1\/3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1078, -1089, -1104, -1123, -1146, -1173, -1204?\nAnswer: -1239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 9:13 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78 - -85) + 0 + -58 + 3 - (-2 + -8)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.46 + -1.4499. What is x rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/7 - 768*g\/7 - 766\/7.\nAnswer: -2*(g + 1)*(g + 383)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**7\/945 + f**6\/180 + f**5\/270 - f**4\/36 - 2*f**3\/27 - 5*f**2. Factor w(u).\nAnswer: 2*(u - 1)*(u + 1)**2*(u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16675)\/(-435))\/(10\/36). Which is smaller: 140 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.1 plus 1.39?\nAnswer: -13.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 50*w**2 - 135*w - 2053. Let k(y) = 7*y**2 + y + 1. Let b(l) = 6*k(l) - u(l). What is the derivative of b(g) wrt g?\nAnswer: -16*g + 141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.831869m to kilometers.\nAnswer: 0.003831869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40029 divided by -2.\nAnswer: -40029\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4215, 9, 3, 6 in increasing order.\nAnswer: 3, 6, 9, 4215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6251 + -10?\nAnswer: 6241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlamlmpajallsl. What is prob of sequence sa?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2470852520?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12096 is divided by 49.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from {q: 2, k: 4, d: 1, b: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (5 + -2 + -7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 54\/(-15)*((-20)\/(-3))\/(-4). Solve 0 = -j*c + 10 + 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 16, 21, 26?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30864190 rounded to the nearest one hundred thousand?\nAnswer: 30900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31033 divided by -6?\nAnswer: -31033\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*u + 3625 + 9180. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - d + 4. Let f be i(0). What is the derivative of -z**4 - 10*z**f + 156 - 151 wrt z?\nAnswer: -44*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 156 - 56. Suppose 0 = 8*g - 3*g - a. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6057 = 4*n + t - 2*t, 0 = -4*n + 2*t + 6062. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*t + 872 = 0, q + 2*q + 2*t - 652 = 0. Let l = -117 - -224. Let n = q - l. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -499\/47535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11233130233 (base 5) in base 12?\nAnswer: 43475a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (-6 + 1\/(-1)). Suppose -39*f + 40*f = -5*k + 42, -2*k + f + 21 = 0. Let b be ((-4)\/l)\/(k\/(-81)). Solve g - b = -1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3067469*s**4*v + 2*s**4*w**2 + s**3*v - 3*s**2*w**2 + s*v*w + 130*s*w**2 + 8732*v*w**2 wrt s.\nAnswer: 73619256*s*v + 48*s*w**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 6 + 0*m**3 - m + 1\/2*m**2 + 1\/4*m**5 - 1\/12*m**4. Determine p(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)*-1*6)\/sqrt(3).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2127154*p + 299 - 299.\nAnswer: 2127154*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91 + -28. Let z(n) = f*n - 21*n - 34*n. Let w(s) = 2*s. Calculate z(w(m)).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51 by -51.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1474160 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 0)*-2)**2 - -5*sqrt(33)\/sqrt(3).\nAnswer: 5*sqrt(11) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*m + 494 + 1716. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 4) to base 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6*l. Let c be u(1). Let r = 11 + c. What is the units digit of -1 + 1 - (-15)\/r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(-3 - -2) - 558\/279. Put 0.08, c, 2\/11, 2\/3 in increasing order.\nAnswer: c, 0.08, 2\/11, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6858)\/(-30) + 1\/(15\/(-9)). Let b = m - 171. Calculate the remainder when b is divided by (-515)\/(-25) - (-2)\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 73.123 to the nearest integer.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -24?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (48\/(-24) - -6)*(-1 - (-21)\/18). What is the closest to 0.09 in g, -0.3, -0.2, -29?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.3173 smaller than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*s**5 + s**4 - 9273*s**3 + 8*s**2 + 3*s + 1826?\nAnswer: -2160*s**2 + 24*s - 55638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/30)\/(5\/((-15)\/6)). Which is the nearest to 4\/5? (a) 0.3 (b) m (c) 4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 894524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 1468*w**2 - 16*w - 5164. Let u be j(78). What is u rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3*(sqrt(91) - (1*sqrt(91) - sqrt(91))) - sqrt(91)))\/(-5*sqrt(21)\/sqrt(3) - (sqrt(63)\/sqrt(81) + sqrt(7))).\nAnswer: -24*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*d = 152*d. Put d, 6, -13, -4, 2 in ascending order.\nAnswer: -13, -4, d, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 3 - 3 + (0 + 3 - 4)*(-1 + y + 1))*(39*y**3 + 181 - 181).\nAnswer: -117*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*t = k + 5, -t + 5*k + 19 = 0. Which is smaller: t or -2\/1831?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6394939 - 0.021\nAnswer: -6394939.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 14) in base 6?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.220235 to 2 dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 198 and -1646278.03.\nAnswer: -1646080.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000391 rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 4 = -10*h - 61 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -873687405 to the nearest 100000.\nAnswer: -873700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306 = -24*w + 30. Solve w = -3*b + 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -162, -320, -478, -636?\n\"Answer: -158*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w + 5*w + 15*w.\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1353\/2 + 677. Sort 70, m, 0.2 in descending order.\nAnswer: 70, m, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from mxmdx.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 2)*(-7*t + 2*t - t + (1 - 2*t - 1)*(1 + 2 - 2) + 0*t + 0*t - 2*t)*(1 - 5 + 2).\nAnswer: -100*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2157 by -3.\nAnswer: -719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r + 0*r + 19*r - 5*r - 4*r + 5*r + (4 - 2 - 3)*(-3*r - r + 6*r).\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(w**(14\/9)\/w)\/w*w*w*(w*w**(9\/4))\/w*w**0*w*w**2*w assuming w is positive.\nAnswer: w**(317\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 251, 990, 2221, 3944, 6159?\nAnswer: 8866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 974*q + 2250 = 1019*q. Let x = 14 - 9. Suppose 2*l + 4*v - 94 + 38 = 0, -2*v = -x*l + 92. Calculate the highest common factor of l and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 61*i + 894. Determine l(24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -30. What is the second smallest value in v, -2\/3, -4, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -18*w + 2. Let r(d) be the second derivative of 3*d**4\/4 + 322*d. Determine r(h(u)).\nAnswer: 2916*u**2 - 648*u + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1801410 divided by 11622.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**8\/6720 - o**7\/1120 + o**6\/480 - o**5\/480 + 4*o**3\/3 - 2. Let g(a) be the third derivative of n(a). Factor g(t).\nAnswer: t*(t - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 13*i**3 + i**2. Let o be z(1). Is (12\/o)\/(6\/168) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2. Let l(b) = 11*b + 4. Let m(u) = f(u) + l(u). Determine m(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100.709485 - -100.7. What is x rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - 0 - 4 - 0\/2. What is the nearest to 1 in 0.4, b, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7942 and 18050?\nAnswer: 198550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/4324151 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17239317 to the nearest integer?\nAnswer: 4152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 704387666.000053 + -704388008. Let j = p + 342. Round j to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/552 and 91\/108384.\nAnswer: 2492832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144418 is divided by 11108.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 + 120*z**2 + 643*z + 449. Determine l(65).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxqebxf. What is prob of sequence qf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.8 times -1.534?\nAnswer: -19.6352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-55 - -23) + -33.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -895 + 1305. List the prime factors of z.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*g. Suppose 0 = 3*t - 3 - g. Solve -5*v - j + 11 = 24, j = 2*v + t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1962?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 1\/4*c**5 + 5*c + 0*c**3 + 0 + 0*c**2 - 1\/4*c**4. What is the third derivative of f(z) wrt z?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 20 = 14*h. Suppose 305 = 5*i - h*z - 0*z, -265 = -5*i - 3*z. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -176.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -419927769 and -0.5.\nAnswer: 209963884.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 11*g**2 + 5*g - 13. Determine t(11).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 11*y - 3*y - 9 - 6*y + 7*y + 6*y**2. Suppose 3*q = -0*q - 36. Let s = q - -3. Let g(f) = 3*f**2 + 4*f - 4. Calculate s*g(o) + 4*k(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/11388 - 3051989\/56940. Let b = -54 - i. What is the nearest to 9 in -5, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 13*j**2 - 13*j - 3. Let w be r(-12). Let n be 2*w\/(-6)*200\/(-15). Let v = n - 29. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-14))\/(684\/(-798))*-1.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.0465\nAnswer: -0.0093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 4:18 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 541301525?\nAnswer: 541301524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1270, 5, 11, 1\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2662442242 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 10*o + 1.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 0. Suppose -2*w - w - 5*q = -23, t*q - 17 = -2*w. Is 1\/(-3) - w\/(-3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2)\/g)**(-40)\/(g**(2\/5)\/g*g)**(-44)*((g\/((g\/(g*(g\/g**(-6))\/g*g)*g)\/g))\/g)\/(g\/(g\/(g**(1\/6)\/g)))*g**4\/g**0 assuming g is positive.\nAnswer: g**(2683\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1274.63011 to one dp.\nAnswer: 1274.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 1:06 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -9*n + 66. Let p be u(6). What is the greatest common divisor of p and 222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1579 = -36*w + 4505. Solve 151 = 6*a + w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1876907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*sqrt(17))**2 + -5.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 25. Let c be d(20). Solve c*f - 5 = -3*m, 4*f - 3*f + 27 = 5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 v when three letters picked without replacement from {e: 1, p: 2, z: 4, v: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -29.08 * 0.6\nAnswer: -17.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -12*p + 6. List the prime factors of o(-13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 + t**2 + 12*t + 10. Let f = 49 + -44. Suppose 2*g = -q - q, -g + f = 0. Let o be j(q). What is the highest common divisor of 25 and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -303, -325, -367, -435, -535?\n\"Answer: -b**3 - 4*b**2 - 3*b - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20535 + 102681\/5. What is the nearest to -0.1 in 22, b, -1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522003 is divided by 116?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 193*z + 13. Let r(h) = -603*h - 36. Calculate -11*g(m) - 4*r(m).\nAnswer: 289*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057 a factor of 147889373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3933900 to the nearest 100000.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51.2 - -48. Let m = -3.5 - h. What is the nearest to 0.1 in -0.4, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*15*-4*13\/26. Calculate the common denominator of l\/400*2*(-1)\/(-6) and 143\/102.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(2 - 2 - 1)*((0 + 0 - 3*k)*(-4 + 1 + 0) + k - 1 + 1).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 246*n**3 - 242 - 488 - 497*n**3 + 249*n**3 - 309*n**4 with respect to n.\nAnswer: -1236*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/(j*j**(-3)\/j))**(-1\/18)*(j**(-3)\/j*j)**(-3\/13) assuming j is positive.\nAnswer: j**(14\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.97229ml to litres.\nAnswer: 0.08497229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000107392 to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 4*x**2 + x - 2. Let a = -21 + 31. Let i = a - 17. Let y = i + 4. Calculate w(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 45*y - 1. Let o(v) = 8*v - 10. Let p(d) = -6*d + 8. Let i(r) = 4*o(r) + 5*p(r). Give w(i(k)).\nAnswer: 90*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/716650 and 27\/5615930?\nAnswer: 308876150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b0 + 1?\nAnswer: b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122850, 122845, 122838, 122829, 122818, 122805?\nAnswer: 122790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*a - 2272450, -52*m + 50*m + 1136222 = -2*a. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**17*j*j**(3\/7) assuming j is positive.\nAnswer: j**(129\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cchcaxxhccxechexce. What is prob of picking 2 x and 2 e?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u**2 + 8. Let n(s) = 5*s**2 - 6. Let k(w) = 4*n(w) + 3*v(w). Let q(j) = 23*j + 1. Calculate k(q(t)).\nAnswer: 1058*t**2 + 92*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 9*u**2 + 38*u + 344. Let r be j(-9). Let a = -69 - -69.2. What is the nearest to -2\/5 in a, -5, -4, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 202 - 192.3. Let u = -437.4386 - -427.7385968. Let b = v + u. Round b to 7 decimal places.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -36*o + 290. Let c be y(8). Let l = 33 - 35.04. Let b = 0.04 + l. Which is smaller: b or c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337114097.\nAnswer: 17, 1583, 12527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24197 - -38878. What are the prime factors of y?\nAnswer: 53, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 322 divide 252130508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 365407020 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(7) + 1 + -2 + (sqrt(63) + 1)**2.\nAnswer: 7*sqrt(7) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144047 and 12735.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**4\/5 + 144*r**3\/5 - 1402*r**2 - 507144*r\/5 + 514008\/5 = 0?\nAnswer: -66, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 691754?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 10187 = 4*x - 10221, 0 = 3*n - 4*x + 39 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 325553371?\nAnswer: 325553375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 8300?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*d + 908 = 72. Suppose d*r = -r - 6555. Is -286 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15775 divided by -3155\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 156922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 17*(-27 + 465\/17)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 35 = -5*n, n - 6 = -2*j - 1. Let u = -4 + j. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 114, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198.581 rounded to the nearest 10?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 4*c**2 + 53*c - 14. Determine x(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 43, 352, 0.\nAnswer: 0, 16, 43, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2) + (-31)\/(-27 - 35) + 26?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144824 is divided by 447?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 631612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 220 = -2*k - 38*d, -30 = d + 4*d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, m: 1, f: 1, g: 1, n: 1}. Give prob of picking 1 g and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 2 + 2)*(-2*d - 2*d**2 + 2*d) - 2*d**2 + 2*d**2 + 6*d**2)*(-22 + 22 - 12*d).\nAnswer: 48*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 953035 - 9953035. What is u rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(8\/(-418)) - (-21 + 1577\/76)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-27))\/(2\/(-6) - (-527)\/(-186)).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0.4, -87, -0.038, 39 in decreasing order.\nAnswer: 39, 0.4, -0.038, -6, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2431367 and 7.\nAnswer: 17019569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13, 0.05, -2\/7, 0.03, -10\/27.\nAnswer: -10\/27, -2\/7, 0.03, 0.05, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 248, 193, -0.5.\nAnswer: -0.5, 193, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 198549439 to the nearest integer?\nAnswer: 14091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0284349249 to six dps.\nAnswer: -0.028435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -13*r**2 + 912*r - 1802. Give x(2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -618300 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 6*j - 28. Let n be z(-11). Suppose -13*a - n = -679. What is the remainder when 118 is divided by a?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 0 + 4 + 28*i - 25*i + 2. Determine j(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91186044795 - -2086?\nAnswer: -91186042709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/15 - 508*q + 4183056\/5.\nAnswer: -2*(q - 1242)*(q + 5052)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -50. Let h = 41.14926 - 24.1489. Let i = r - h. Round i to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -524 - -311. Let j = -133 - s. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5342766, -5342749, -5342732, -5342715?\n\"Answer: 17*u - 5342783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8511, 16965, 25325, 33591, 41763?\n\"Answer: -47*y**2 + 8595*y - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 890378 is divided by 560?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 - -64. Let p = 0.39 - 0.4. Let x = p + -0.39. Which is the biggest value? (a) -4 (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 88067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, p: 1, n: 3, s: 2, a: 1, g: 1}. What is prob of sequence sp?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62078263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -cb03b (base 14) in base 3?\nAnswer: -220221211200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 7*a + 52. Let q be v(10). Let r be (6\/10)\/(q\/220). Calculate the greatest common divisor of 63 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.7 + 13. Let r = 18 - 10. Let d = a - r. What is the second biggest value in d, 0, -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2707 plus -18.3?\nAnswer: 2688.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 14) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*q - 17, q - 7 = f + 2*q. Let p(m) = m**3 + 12*m**2 - 2*m + 19. Is 47 a factor of p(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -0.0141895, -1\/6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -205 + 721. List the prime factors of p.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*a + 18 = -5*v - 39*a, a = -3*v - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 910174.2 millennia in decades?\nAnswer: 91017420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x + 4442 = 18654 + 4898. Is 35 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/(-78) - ((-2041)\/6 + -1). What is the greatest common factor of x and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 1336*r - 6082. Let o(s) = -6589*s + 30410. Let n(j) = -2*o(j) - 11*t(j). Find the first derivative of n(z) wrt z.\nAnswer: -1518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - 2312?\nAnswer: -2303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(((-4)\/(-799 + -1))\/(-2)). Suppose 2*v + 6090 = -2*f - 2*f, 0 = -4*f - 4. Let h = l - v. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(432))\/sqrt(9))\/sqrt(8))\/(-5*sqrt(12)\/sqrt(4) + sqrt(15)\/(sqrt(10)\/sqrt(2))).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -60*y + 150. Let w(t) = 173*t - 450. Let v(j) = 8*o(j) + 3*w(j). What is the units digit of v(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.013? (a) 3 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqqffq?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*b - 13 = 0, -5*l + 3*b + 14 = -b. Suppose -l*c + 3*s = -3*c + 12, 0 = -5*c - s + 88. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -18401*s - 3. Let y(n) = -2*n. Calculate r(y(f)).\nAnswer: 36802*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -13*d**3 + 5*d**2 + d. Let s(o) = 6*o**3 - 2*o**2 - o. Let h = 8 - 3. Let c(x) = h*s(x) + 2*i(x). Find the second derivative of c(f) wrt f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*l - 8 = 0. Let s = -543398 + 2173619\/4. Solve -3\/2 + s*h - 15\/4*h**3 + 9\/2*h**l = 0 for h.\nAnswer: -1, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120673049021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-3))\/((-3)\/(-1413)). Suppose 4*i - i - 12 = 0. Suppose 4*t = -t + 10, -5*q + i*t + r = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.694464 rounded to 2 decimal places?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 8. Suppose 101 = -5*t + 1. Let u be (-50)\/t*(-12)\/(-5). Suppose 0*z + u = -z. What is j(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.178 (b) 10.9 (c) -0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 2:29 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1994137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -7*i**6\/720 + i**5\/60 - i**4\/6 - 5*i. Let s(q) be the third derivative of p(q). Is s(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**4\/4 - 3*o**3 - 7*o**2 + 10*o - 96765. Suppose -2*x - 11 - 3 = 0. What is s(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, -0.4, 0.06837, 1\/4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42656639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**2. Let h(c) = -38*c + 30*c - 94*c + 13 + 8 - 23. Determine h(p(r)).\nAnswer: -510*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 105.9993899 + -0.0000099. Let m = q + -106. Round m to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 226200 by -2.\nAnswer: -113100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 15. Let b = p + 17. Suppose w - 37 = -0*w + b*n, 0 = w + n - 7. 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: 259651 (base 11) to base 2\nAnswer: 1100011101000000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d - 6. Let r(h) = -23*h + 8. Let p(q) = 43*q - 18. Let o(v) = 2*p(v) + 5*r(v). What is the remainder when o(-2) is divided by a(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 96, 189, 282, 375?\n\"Answer: 93*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(4\/5)*y**8\/y*y*((y*y*y**(-1\/11)*y*y*y)\/y)\/(y**10\/y) assuming y is positive.\nAnswer: y**(204\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 2*q - q**3 + 2*q**3 + 9 to the form h + n*q + r*q**2 + o*q**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Calculate the lowest common multiple of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 108*o - 60*o + 34*o - 92*o - 28*o.\nAnswer: -254*o + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2, -342\/5, 0.1, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.574 (b) 4 (c) 1\/4 (d) -3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 13*c = 4*z + 76, -z - 2 = 0. Let a be c\/(714\/5112)*525. What is a rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/4 in -3, 4\/5, 1, -6351, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 19. Let q(u) = u - u - s*u**2 + 2*u**2. Let i(z) = -z + 2. Let k(d) = d - 5. Let f(m) = 15*i(m) + 6*k(m). Calculate q(f(a)).\nAnswer: -162*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -14*p + 79 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(-24)*r**5*r**(-1\/9))**(-29) assuming r is positive.\nAnswer: r**(-7540\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1838*i**2 - 1101*i**2 + 1449*i**2 - 1091*i**2 - 1099*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 10*a + 9. Let g be n(9). Let v = g - -4. Solve 0 = -3*b - 5*t + v*t - 11, 0 = 4*b - 3*t - 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**4 - t**5 - 2*t**4)*(19 - 35 - 20).\nAnswer: 36*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 156?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 197 + -90. Let v = 197 - q. Calculate the highest common factor of v and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.027 - -96.973. Let t = 38 - h. Let v = 58.51 + t. What is v rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-608)\/(-2280))\/((18\/15)\/(-3)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.469 rounded to 1 decimal place?\nAnswer: 17.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/9)\/((-6)\/(-167 + 5)). Let j(x) = -x + 9. What is the least common multiple of j(p) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 3 = 5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 121 and 29271.\nAnswer: 321981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 540224126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0127854582 rounded to 6 decimal places?\nAnswer: -0.012785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i + 2*i - 4*i - 6*i - i**3 wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256 = -19*k - 13*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*m + 540 = 100*m + 92*m for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 916.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 a, and 1 d when four letters picked without replacement from {a: 1, d: 2, c: 1, l: 1, s: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7766 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 c when three letters picked without replacement from csccccccsscc.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6155281*n**3 - 882188 with respect to n.\nAnswer: 18465843*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37309 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-90)\/(-15) - (0 + 3). Suppose s*r + 2*r = 115. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -917 (c) 2\/13 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g**(-1\/5)\/g)*g**5*(g*g**(-4)\/g)\/g*g*((g\/(g*g\/(g**(-2\/3)*g)*g))\/g*g)\/g*g assuming g is positive.\nAnswer: g**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -70, 5, -2 in decreasing order.\nAnswer: 5, -2, -33, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -16048510 rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1824 - -3193. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27818.18 centuries in years?\nAnswer: 2781818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 64. Suppose h + 5 - 2 = d, 0 = 5*h + 5*d - x. Suppose -v - h*v = -24. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-1*(sqrt(80) + (sqrt(80) - (sqrt(80) + 0)*3)) - -5*(sqrt(80) + -1 + sqrt(80) - sqrt(80))*-1) + 2))**2.\nAnswer: -2016*sqrt(5) + 11961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.7637 rounded to zero decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38.11 + -44.11. What is the closest to -48 in -2\/9, z, -1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1831\/2128 - -1\/304. Let v = 1548 - 32483\/21. Let u = y + v. Is 1 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*m**4 - 5*m**5 - 12*m**4 + (-4 + 2*m**2 + 4)*(-111*m**3 + 26*m**3 + 47*m**3).\nAnswer: -81*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4481*b - 230. What are the prime factors of r(-3)?\nAnswer: 73, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*y**2 - 15*y**2 + 10*y**2 to j + p*y + r*y**2 and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - ((-1260)\/165 + 7 + 66\/(-6)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1073291 a multiple of 712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 7. Let a be d(5). Let v = -61 + 66. Suppose 4*k - 3 - 5 = -a*w, v*k - 10 = -5*w. Solve -3*f + 4 + 2 = w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180947 and 5066113.\nAnswer: 2274684737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 31, 116, 257, 454, 707, 1016, 1381?\n\"Answer: 28*q**2 + q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -42*g**2. Let i(p) = -1748502*p**2. Calculate n(i(v)).\nAnswer: -128404888248168*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + -2 + sqrt(242))*1)**2*-4.\nAnswer: -1168 + 192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 0*f**4 + 0 + 1\/5*f**5 + 0*f**2 + 13\/3*f**3 + 22*f. Find the second derivative of p(u) wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 25, -8, -65, -152?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.38? (a) -2\/5 (b) 0.1 (c) -0.3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.07+-3461\nAnswer: -3460.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**5\/2 - 146955*i**4\/2 - 514467*i**3 + 2498550*i**2 + 2057844*i - 8818560 = 0. Calculate i.\nAnswer: -10, -2, 2, 3, 48992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ur when two letters picked without replacement from {g: 6, s: 1, q: 2, u: 5, r: 1, p: 2}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(272) + 0 + sqrt(272) + 2 - ((1*sqrt(272))**2 + 5)) + -1 + sqrt(272)*6 + (4*sqrt(272))**2.\nAnswer: 32*sqrt(17) + 4078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-9) + 19238\/6. Let k = c + -22051\/7. Let m = 56 - k. What is the third smallest value in -1\/2, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 897718, 897232, 896746, 896260, 895774, 895288?\n\"Answer: -486*k + 898204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -69df (base 16) to base 2\nAnswer: -110100111011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (11\/495)\/((-16)\/40 - (-2)\/30)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*h = j - 33, 0 = -5*h - 15. Let v = j + 16. Solve -v*l + 5 = -3*n, -3*l + l = -4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/125 of a millennium?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 12, o: 1, b: 1}. Give prob of picking 1 b, 1 o, and 1 u.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n**2 - 188*n - 55. Let y be p(-31). Let z be (0 - (-1 - -2)) + -52. Let c = y - z. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -v**3\/3 + v**2 - 2*v + 1. Suppose -3*k = 11 - 17. Let o be ((-9)\/(-2) - k)*2 + -2. Determine f(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 732627168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9294 + 9298. Solve 0 = 2*r - n*q - 12, 2*q = 3*r + 3*q - 11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -5 (b) -0.1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (8 + -9 + 3 + -11 + 13).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6835858?\nAnswer: 2, 19, 59, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - y - 3*y)*(-y + y - 2*y) + 27*y**2 + 42*y**2 - 2*y**2 - 2*y**2 + 3*y**2 + y**2.\nAnswer: 73*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1304*b = -1266*b - 684 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -33 (b) -1 (c) -6\/5 (d) 0.249\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 55, -1\/2.\nAnswer: -9, -1\/2, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 184022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 0.3, -1, -0.039, -2\/19, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/7))**9)**(-38) assuming q is positive.\nAnswer: q**(-342\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 403*j + 409*j = -37, 3*u - 31 = 2*j for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -12*g**3 - 387*g**2 - 809*g + 31. Let p be h(-30). Let f(k) = -4*k**2 - 3*k. Let a(r) = 15*r**2 + 13*r. Let x(t) = -2*a(t) - 9*f(t). What is x(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83740 divided by 20935?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 14 = 5*i. Let b = 11 + -6. Suppose 4*u = -3*c + 14, b*c + 0*u = 2*u + i. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 169691 and 11558.\nAnswer: 181249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**2 - 787*y - 17689. Calculate z(-25).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 3:11 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 18. What is r(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/3 - 16\/(-6). Suppose -22079*t + 11041*t = -11024*t. Which is the closest to 6? (a) -10 (b) t (c) l (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**6\/30 + o**4\/12 + 5*o + 6. Let u(d) be the first derivative of t(d). Factor u(v).\nAnswer: -v**2*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, n: 1, u: 10, t: 1, f: 1}. What is prob of sequence ut?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 3*k - 17, 5*h + 42 - 20 = 4*k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 5:44 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18.5 and -3445.\nAnswer: -3426.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 629 divide 674018229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whheqehmwe. Give prob of sequence heqw.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 409*z**3 - 7*z**2 - 2*z - 4. Let s(w) = 818*w**3 - 17*w**2 - 5*w - 9. Determine 5*r(g) - 2*s(g).\nAnswer: 409*g**3 - g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-3 + 5 + -3) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 106297939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -3, 3, 84 in decreasing order.\nAnswer: 84, 3, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 348193153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 25. Let z be w(20). Solve -z*c - 2*m + 45 = 3*m, -c + m = -1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-7 - (15 - 6)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/43290 and -137\/27750.\nAnswer: 1082250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 8*j**2 + 12*j - 22. Let i be t(9). Solve 2*k = a + 8, 5*a + i = 3*k - 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000376 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 1\/6*k**4 + 1\/60*k**5 - 4*k**2 - 4\/3*k**3 + 0 + 0*k. Is w(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.6 (b) 313 (c) 0.07 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*y - 612 = -149*y. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 372843 (base 9) to base 4.\nAnswer: 312333003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*t + 8 = f, -2*t = 0. Suppose -7*h + 8*h = f. What is the derivative of 25 + 2*b + 13*b**h - 2*b - 11*b**2 wrt b?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.7 - 5.7. Which is the biggest value? (a) -0.1 (b) t (c) -1\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-4) - 3\/6. Suppose 490 = g - 4*r - 141, 3*g - d*r - 1884 = 0. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -200 - -3000?\nAnswer: 2300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10163, -37461, -82951, -146633, -228507?\n\"Answer: -9096*t**2 - 10*t - 1057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22510 is divided by 20509.\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52797?\nAnswer: 3, 17599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694019.\nAnswer: 694019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 + 0.0165507?\nAnswer: -86.9834493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 528, 1044, 1562, 2082, 2604, 3128, 3654?\n\"Answer: p**2 + 513*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8092 by 2294.\nAnswer: 4046\/1147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.168 - 0.03?\nAnswer: -0.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (94 + 6)\/((-1)\/(-4)). Suppose -a + 46 = -6*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.9 + -0.1. Let r = 8 - 10. Let f = x + r. What is the second smallest value in 0.08, f, 0.1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 2*s + 2 - 64, -30 = 3*c + 4*s. Let x be (-52)\/c + (-4)\/(-14). Suppose -x*f = -0*f + 56. What is the common denominator of 29\/9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.889 + 0.111. Is h less than 0.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5\/4)\/z*z**37*(z\/z**10)\/z**(-1\/14))**(-40) assuming z is positive.\nAnswer: z**(-7230\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(2*(-3)\/21). Let b = 10 + f. Let s = 171 - 175. Put s, 2, b in descending order.\nAnswer: b, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45915 is divided by 7607.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-170)\/595*(-84)\/(-60).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -925*f**6 - 2*f**3 + 404*f**2?\nAnswer: -111000*f**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/((-7)\/((-14)\/6)). Suppose -b + 863 + 975 = w. Is (-12)\/(-3)*b\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522414 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -367 + 367. Solve 0 = 5*j, x*m = -3*m + j + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 27*v**3 + 10*v**2 - 24*v + 26. Let z(w) = 61*w**3 + 20*w**2 - 52*w + 51. Let g(q) = 9*o(q) - 4*z(q). What is g(9)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*48\/5376*8.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18740, -19248, -19756, -20264, -20772?\n\"Answer: -508*j - 18232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8603\/28 - (-1)\/(-4). Suppose 0 = 7*i - 6*i - q. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101\/7*f + 0 + 1\/7*f**3 + 102\/7*f**2 = 0. What is f?\nAnswer: -101, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 8:36 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284821 is divided by 2792?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9620 and 115440?\nAnswer: 115440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 10. Suppose 2*w - 46 = 2*u + u, 4*w - 84 = y*u. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p**2. Let r(b) = 6*b**2. Let h(w) = -4*d(w) + 6*r(w). Let n(y) = -2*y**2 + 0*y**2 - 3*y**2 + 6*y**2. What is -h(g) + 10*n(g)?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 3*x - 27, 2*x + 14 = -829*t + 827*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 + -33554\nAnswer: -33552.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 3*f + 3, -2*t = 3*t - 2*f - 33. Suppose b - 3*o + 5 = -5*o, 3*b - 4*o = t. Put -3, b, 0.3 in increasing order.\nAnswer: -3, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 7999980 = 4*o, 4*g = 2*o - 0*o - 7999990. Round g to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((-15)\/4 + (-456)\/(-48) + -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 78\/(-108) - (-2 + (-32)\/(-18)). Let l = 5458793\/574 - 19021\/2. Let q = 5\/41 + l. What is the second biggest value in v, q, -2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99 divided by -438\nAnswer: -33\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -3*d + 19, -4*d - 3 = -25*k + 22*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.5 (b) 1 (c) -4\/41 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(1 + (0 - 2)). Let v be (-15)\/9 - q\/3. Let x = 16 + -15. Sort v, 2, x in descending order.\nAnswer: 2, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(448)*-3 + 5 + sqrt(448) + (sqrt(448) - sqrt(448)*-1) + 2 + 3*(-1*sqrt(448)*-6 + -4))**2.\nAnswer: -2304*sqrt(7) + 145216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/14*-1)\/((-3864)\/11592) + -3?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/((-171)\/42)*171\/3591\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 7, 4, 3, -5, 2 in increasing order.\nAnswer: -36, -5, 2, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 11:36 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3 + 88 = 0. Suppose -11 = y - 3*l, 6*y = 3*y - l + o. Solve 0*r + y*r - 3 = -j, -2*r = -3*j - 19 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 424345, 424758, 425171, 425584, 425997, 426410?\nAnswer: 426823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 347177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 4*v - 1. Let g = -16 + 13. Let p be s(g). Solve 0 = p*y - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-14*(-4)\/(-8). Let d(t) = -4*t - 8. Give d(h).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 145 - 127. Suppose d = 3*s + z, -s - 4*z = -0*z - 17. Suppose -l + 30 = 4*k - 95, l - s*k - 134 = 0. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(208)*-2 + -2 - (-1 + sqrt(208) + -2))*-1)**2.\nAnswer: -24*sqrt(13) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 16. Let z = -5 - -10. Suppose -2*n + 3*w + 12 = 0, z + 3 = -4*n - 2*w. Which is the nearest to -0.1? (a) -4 (b) v (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**2 - 92380*f - 92375 = 0.\nAnswer: -18475, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -8*f + 9. Calculate the greatest common factor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, n: 8}. Give prob of picking 2 a and 1 n.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a. Let g be (2 + -1)*-4 - 2. Let h(j) = j**3 + 5*j**2 - 6*j - 5. Let m be h(g). What is the units digit of b(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-23 - -20)\/(2\/674). Let t = 1650 + p. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-10) - 4\/(-20). Let d(b) be the first derivative of b**4 - m*b**5 + 0*b**3 + 0*b - 3 + 0*b**2. Find t, given that d(t) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19247, -19253, -19271, -19301, -19343, -19397, -19463?\n\"Answer: -6*l**2 + 12*l - 19253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 + -2)\/1 + 1. Suppose -2 = -t, -4*s - 2*t + 7704 = -n*s. What is s rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398510?\nAnswer: 2, 5, 7, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/2*1518\/(-220110)?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22623599617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98830*m**2 - 339362*m wrt m?\nAnswer: 197660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.008 in 3, -20, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, y: 4, u: 1, f: 1, e: 1}. Give prob of picking 1 u and 1 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11 + (-120)\/(-75)*-10. Let m(f) = 20. Let k(r) = -r + 41. Calculate j*m(x) + 2*k(x).\nAnswer: -2*x - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22523653 is divided by 5630909.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**3\/2 - 29*b**2\/2 - 195*b\/2 + 225\/2 = 0 for b.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 2122.\nAnswer: 9\/2122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39432, -39507, -39582, -39657?\nAnswer: -39732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 3. Let u be k(6). Let i be (-1*3)\/3 + u. Let w = i + 18. What is the remainder when 40 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279.9326kg in milligrams?\nAnswer: 279932600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 457*k - 436*k = 23520. Is 56 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 338*s**3 + 2*s - 70 + 21*s**2 + 73 - 340*s**3 to the form t*s + m*s**2 + a*s**3 + o and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*i, 0*s + s + 2*i = 38. Suppose s = -5*n + 61. Find a such that -3*a - 169*a**3 + 18 - a**2 - 3*a**2 + 170*a**n = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*a = -3*r + 40, -53 = -3*r - 2*a. Suppose r - 20 = -h. Solve 2*w - d + 12 = -2*w, 22 = -w + h*d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 2\/19, 0.02781?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/16 and 47\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-4)*x)\/x*x**(-1)*x)\/((x**6*x)\/(x**(1\/3)*x)))**(-21))**(-3\/7) assuming x is positive.\nAnswer: x**(-87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 4*v**2 + 192*v - 1792 = 0.\nAnswer: -56, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(((-21483)\/(-1890))\/341)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1101*v**5 - 100469*v**2 - 3654895*v - 18?\nAnswer: 22020*v**3 - 200938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -12*k. Let p(n) be the third derivative of n**5\/60 - 6*n**2 - 2*n. What is p(y(h))?\nAnswer: 144*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, 0.8, 5, -3 in ascending order.\nAnswer: -71, -3, 0.8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*((-2 + (5 + sqrt(117)*-2)**2)*3 + 5).\nAnswer: -5917 + 720*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 343 - 137 = 0. Let p = 119 + d. List the prime factors of p.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-32))\/(3\/2). Which is the third smallest value? (a) -4 (b) 3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:46 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 433085246 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382595734?\nAnswer: 2, 191297867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 224 + 54. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2. Let c(k) = -66135*k. Give c(d(o)).\nAnswer: 132270*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -749920 divided by 9374\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -5, 74 in ascending order.\nAnswer: -5, 2, 4, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25788776?\nAnswer: 2, 13, 19, 31, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*j**2 + 275768*j + 275772*j - 551540*j.\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y**3 - 34*y**2 + 209*y + 23. What is t(6)?\nAnswer: -1027","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 900 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -1.095.\nAnswer: 6.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**5\/30 - 5*k**4\/24 - 7*k**3\/6 + 23*k**2. Let g(v) = 6*v**2 - 14*v - 20. Determine 6*g(p) - 17*w(p).\nAnswer: 2*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11088 and 286716528.\nAnswer: 3153881808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 80306, -1\/3 in descending order.\nAnswer: 80306, 2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 531\/(-588)*(-32)\/(-24) and -103\/44.\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10713 divided by -44\nAnswer: 10713\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 4:17 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11142 or -11145?\nAnswer: -11145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 11*d**2. Let s(i) = 7*i + 471. What is m(s(f))?\nAnswer: 539*f**2 + 72534*f + 2440251","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 0 - 5*v + 0*v**3 - 1\/4*v**4 + 0*v**2. Let n(w) = 3*w**2. Give q(n(m)).\nAnswer: -27*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/9 and -20\/552717?\nAnswer: 552717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 + 31. Let t = i - -46. Suppose -3*x - t*r + 8 = x, 16 = 4*x + r. Solve -23 = -p + x*q, -4*p - p - q - 15 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*f = -7*g + 60, 2*g = 3*f + 9. Let v = -137 - -97. Let b = -6 - v. What is the remainder when b is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + u + u + u + 0. Let z(t) be the third derivative of 11*t**5\/60 - 38*t**2. Give b(z(r)).\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - (-21 - -24)) + -49 + 8?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.137 - -1.137. Which is the closest to -0.1? (a) v (b) -0.01 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123027244.\nAnswer: 2, 1601, 19211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6045105714 to the nearest integer?\nAnswer: 1822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.35 and -2.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**(11\/5))**(-31)\/(((f*f*f\/(f*f*f**(-1\/3)*f*f))\/f)**3\/(f*f**(-2\/5))**7) assuming f is positive.\nAnswer: f**(387\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 24*h - 6. Suppose -8*t + 70 = -3*t. Let y = -20 + t. List the prime factors of g(y).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 + 3.3. Let y = 0.1114 + 3.5886. Let v = l - y. Which is the closest to -1? (a) -2 (b) -4\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1006?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4840008748 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1063 - -4329. What is the least common multiple of 414 and g?\nAnswer: 29394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -25, 1.2, -727, -1?\nAnswer: -727","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1285160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -677 (b) 1\/3 (c) -3\/7 (d) 0.358\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-2) - 10 - -1. Let b = 322 + -320. Sort b, -2, o, 3 in increasing order.\nAnswer: o, -2, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10297013 is divided by 158.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (36\/15)\/((-12)\/30) + 12. Solve 72*w - d = 66*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/9 and 23\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11153*m + 5736*m - 525449 for m.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68078627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 14*z + 2. Give m(-8).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 34, 37, 40, 43, 46, 49?\n\"Answer: 3*y + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.02547 and -74.53146329.\nAnswer: -74.50599329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 474173 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*p + 270 = 40*p. Let t = -34 + p. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 4 = -v, 11*r - 19*v - 20 = -14*v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.028 - -0.242. Let t = i + 0.16. Let o = -0.07 - t. Which is the third smallest value? (a) -2 (b) -1\/6 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 27\/4*o**4 + 0*o**3 + 62*o + 0 + 0*o**2. Let p(k) = k. Give h(p(y)).\nAnswer: 81*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 355*b + 1812. What is u(-6)?\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9797 + 9797.1. What is the closest to 3 in -7\/2, -2\/3, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from {w: 1, z: 1, m: 1, r: 1, o: 2, l: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -3*f + o, -3*f + 4*o - 8*o - 72 = 0. What are the prime factors of (222\/f - -5)*-4?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25, -40, -43, -28, 11, 80, 185?\n\"Answer: f**3 - 22*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/(-64) - (2 + -3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5929?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = 18*z - 26*z. Suppose 17*y - z = 11*y. What is the tens digit of (-4)\/(-10) + ((-5658)\/(-30) - y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4852 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*((0 - -1) + -123). Suppose -2*s = 3*t - 82 + 18, -5*s + 2*t = -y. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 2:23 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8865 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + p**2 + 10*p + 26. Calculate v(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -49, -44, -27, 8, 67, 156, 281, 448?\n\"Answer: g**3 - 2*g - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 11*v**2 + 7. Let r(d) = -d**2 + 8*d - 5. Let n be r(4). Let s be z(n). Solve 2*t = 5*f - 16, -f + t = -6*f + s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (140\/49 - 2)\/((-2)\/14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1 + sqrt(468))*-4 + -3 - ((sqrt(468)*1 + sqrt(468))*5 - sqrt(468) - (4 + (3*sqrt(468) - sqrt(468)) + sqrt(468) - sqrt(468))))**2.\nAnswer: -264*sqrt(13) + 56632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2547912 and 1752?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -311 + 331. Suppose 0*g = -5*g + 3*z + 40, -5*g - 5*z = -40. Let u be (g - 6)\/(-1 + -6). Which is the closest to -2\/5? (a) u (b) 0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111212001 (base 3) to base 12.\nAnswer: 34024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 - q**4 + 0*q**4 + (-1 + 1 + q)*(2*q**3 - q**3 - 2*q**3) + 0*q**4 + 5*q**4 - 4*q**4 + (5*q**4 - 3*q**4 - 3*q**4)*(8 - 21 + 8).\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or -8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 2:55 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495656?\nAnswer: 2, 7, 53, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 10 = 20, m + 3*b = 30. Calculate the least common multiple of (12 + -4)*7\/(140\/m) and 44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 + 429*w + 1176. Give i(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2441185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7129 + 7121 = -2*r + 2*o, 7*r - 19 = -2*o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 + 3*v - 1. Let j be h(3). Suppose 4 = -4*s + j. What is the units digit of (6\/s)\/((-1)\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 68056674.\nAnswer: 272226696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k**3 + 9*k**2 - 778*k - 3*k**2 + 1549*k - 771*k.\nAnswer: 16*k**3 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23318 - -61843. What is the ten thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 12:25 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 1858494.\nAnswer: 13009458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 27*d**2 + 55*d - 12. Determine p(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*x**3 + 1\/3*x + 0*x**2 + 0.\nAnswer: -x*(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1 - 2)*6)\/(60\/(-40))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 778661 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19505949 is divided by 260?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -368*a**3 + 6*a + 4373?\nAnswer: -1104*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.27, 0.5, 284\/5, 0.115, -5 in descending order.\nAnswer: 284\/5, 0.5, 0.115, -0.27, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 209060191352012.\nAnswer: 209060191352011.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 294\/8 - (-6)\/(-8). Suppose n + 3*n + j = 0. Let g = n + 19. What is the greatest common divisor of 80 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2259 + 866. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5603\/8 + -39245\/56. Let k be 12\/(-30)*10\/3. What is the third smallest value in c, 1\/10, k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-6)*1 - (-3705)\/38. Is h smaller than 95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjj when three letters picked without replacement from jjjqzqzjjzjzzzjzjqj?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (3 - -1) - 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 677 = 9*k + 17*k + 1246 + 913 for k.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -3*q + 10, 5*o + 5*q = 6*o + 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**3\/3 - g**2\/2 + g - 3. Let y(k) = 12*k**2 + 11*k - 12. Let c(d) = 22*t(d) + 2*y(d). Differentiate c(i) with respect to i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-14110)\/(-3735))\/((-8)\/18))\/(1\/38). Is b less than or equal to -325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*o**2 - 17*o**2 + 16*o**4 + 5*o - 3*o wrt o.\nAnswer: 192*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*f = -231 - 426. Sort -1, 5, f, -15.\nAnswer: -15, -1, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**3 - 7*x - 6. Let a(r) = -23*r + 5. Let k(p) = -13*p + 3. Let q(z) = -4*a(z) + 7*k(z). Let u = 3 + 3. What is u*q(t) + j(t)?\nAnswer: 3*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -85. What is the least common multiple of v and 9?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52660\/83 less than -634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, l: 14}. Give prob of picking 2 l and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1122032011 - 3?\nAnswer: 1122032002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (0 + 5 + 6 + -9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 9:48 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.6 (b) -0.68 (c) 2\/5 (d) 3 (e) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 5*y = -2*c, 0 = -2*y. Suppose -16 = -k + p - 3*p, -5*p + 10 = c. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 - -43023534.6384.\nAnswer: 43023556.6384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 23333131 (base 4) to base 12\nAnswer: 24511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**3\/5 + 2*f**2 - 26*f\/5 + 14\/5 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-12)\/(-18)*552\/27968)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 30025100.8?\nAnswer: 30025105.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10751 - 10566. Calculate the greatest common divisor of 105 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 3*b - 7\/2*b**2 + 0 - 5\/12*b**4 - 2*b**3. Let j(p) = -p - 1. Let k(o) = -g(o) + 2*j(o). Factor k(t).\nAnswer: 5*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 - -52. Let h be (-6)\/n + -27*(-178)\/10. Suppose h = 5*a - a. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 15*v + 13. Let s be w(-11). Suppose -5*z + 3*k = -104, 2*k - 35 = -4*z + s. Is 22 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8*d + 84. Let l be q(25). Let x be (l\/(-29))\/((-1)\/((-2)\/4)). Solve j - 4 = -2*c, -c = x*c + 5*j - 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 27 = -47, 2*l = -3*t + 2299. Let f = t - 767. Solve f*j = -2*r, -4*r = -5*j - 22 - 14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/16*(-16)\/(-6). Suppose 4*t = r*t + 88. Calculate the smallest common multiple of 5 and t.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23.5, 4\/3, 5, -991.5, 1 in descending order.\nAnswer: 5, 4\/3, 1, -23.5, -991.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20985095*h**5 - 22914689*h**2 wrt h?\nAnswer: -1259105700*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {w: 8, z: 6, c: 3}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2 + 7*s - 1. Determine l(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a**2 + 1. Let k be q(-1). Suppose -2*j + 0 = -k. Suppose 4*r = v - 1, -j*v - 2*v + 3*r + 56 = 0. What is the greatest common divisor of 143 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 + -31. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 172031*s - 172035*s - 1 + 3 + 5*s**2 in the form q + i*s**2 + y*s and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(4\/7)*m))\/(m*m\/m**(3\/2)*m))\/(m**(2\/7))**(-3\/2) assuming m is positive.\nAnswer: m**(-23\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -566866, -566874, -566882, -566890?\nAnswer: -566898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.105327 + -0.305327. Let m be 2 - 0 - 32\/22. Which is the smallest value? (a) 1\/11 (b) k (c) -1 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 + 2 = 0. Suppose 2*s - r - 5 = 0, 4*s - 4*r - 5 = -s. Let l = -16.1 - -16. Which is the third smallest value? (a) s (b) t (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**3 + 6*v**2 + 6*v. Let h(g) = -2*g**3 - 2*g**2 - 2*g. Suppose 8 = -5*q + 9*q. Suppose 1 = -q*z + u, 23 = -3*u + 8. Determine z*k(x) - 8*h(x).\nAnswer: x**3 - 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -33. Let o(z) = z**2 - 5*z - 8. Determine o(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4265 + -1452. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 12*t**2 - 6*t - 5. Let q be d(12). Let g = -44 - q. What is the remainder when g is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 - k**4 - k**4)*(3*k - 5*k + k) + 26*k**5 - 6*k**5 - 6*k**5 + k**2 - 2*k**5 - k**2 - 18*k**5 - 11*k + 11*k.\nAnswer: -5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.43, -86, -13017.\nAnswer: -13017, -86, 0.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4324, 4325, 4326, 4327, 4328?\n\"Answer: l + 4323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 5*c + 2. Let z be h(5). Let j be z\/(-6)*60\/(-4). Solve -j = -4*t + 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/190 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4) + 7\/(-2). Let h be (-8)\/(-6) + 10\/15. Let b(k) = -6 + 5*k**h - 5*k + 1 + k**3 + 4*k + 3*k. What is b(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(720)*-2 - 5*sqrt(605)*-1) + 2 + ((sqrt(360)*-1 + sqrt(360))\/sqrt(8))\/(sqrt(18)\/(sqrt(8)\/sqrt(4))))**2.\nAnswer: 372*sqrt(5) + 4841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35\/762 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 2 + (-15)\/(-3). Suppose o*r + 22 = 98. Calculate the remainder when r is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3994 + -3774. Calculate the remainder when 2636 is divided by j.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 11:00 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(-2)\/(-6)*-3. Solve 2*f + q = -3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 23*g**3\/6 - 365*g**2\/2 - 116*g + 21. Calculate t(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1983980 (base 11) to base 5\nAnswer: -1323441233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-45)\/6*((-43680)\/18)\/4. Is 4 a factor of (-2 - 0)*r\/(-100)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7269870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4587440499?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*v**2 + 3 + (4*v - 4*v + 4*v)*(-v + v + 2*v) - 3*v**2 - 4*v**2 + 2*v**2 in the form x*v**2 + p + w*v and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31428 is divided by 15712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/16 and 59\/1988?\nAnswer: 7952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 207 + 3. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-835916.\nAnswer: 83591.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2047, 4098, 6149?\n\"Answer: 2051*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**3))\/i**(-3\/7)*(i*(i\/(i*((i\/i**(-3\/8)*i)\/i)\/i))\/i)\/i**(-1\/3))**22 assuming i is positive.\nAnswer: i**(-4829\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2263379, 9053706, 20370917, 36215012, 56585991, 81483854, 110908601?\n\"Answer: 2263442*q**2 + q - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/549 and -11\/24.\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -3020?\nAnswer: -3014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2709945 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101101110001010 (base 2) to base 4.\nAnswer: 31232022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**3 + 4*t**2 + 8*t - 4. Let y(d) = 9*d**3 - 5*d - 6*d - 279*d**2 + 132*d**2 + 11 - 12*d + 136*d**2. What is 11*a(b) + 4*y(b)?\nAnswer: 3*b**3 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(1\/4)*c)*c**(-2\/35))**(-5) assuming c is positive.\nAnswer: c**(43\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 0 - 7\/2*q**4 + 1\/280*q**7 + 33\/80*q**5 + 7\/80*q**6 + 4*q + 19*q**2 + 8*q**3. Find r such that v(r) = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17614362 and 195?\nAnswer: 1144933530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 251385824*s**4 - 130*s**2 + 163852 wrt s.\nAnswer: 6033259776*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 574*d**4*h + d**4 - 8*d**3 - d**2*h + 3*d**2 + 971*h wrt d.\nAnswer: 13776*d*h + 24*d - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 508 + 322 - 833 - j**2. Let b = -1 - -5. Give v(b).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**5\/70 + 11*d**4\/14 - 1035*d**3\/7 + 41791*d**2\/7 - 16389*d. Let k(h) = 0. What is h?\nAnswer: -79, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 680*a + 1184. Let b(r) = 242*r + 395. Determine 14*b(n) - 5*o(n).\nAnswer: -12*n - 390","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/126304628 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18373?\nAnswer: 19, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 7:45 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d - 3. Let s be r(2). Suppose g - s = -0*g. Is (1\/1)\/(g\/267) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12917 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*i + 26, 35 = 3*z + z - 5*i. Let a = z - 6. Find the common denominator of (-114)\/(-16) + a\/1 and 81\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30212611?\nAnswer: 11, 13, 19207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 2) + (-5)\/1. What are the prime factors of n\/((-15)\/580*2)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-68)\/(-16) - (-12)\/16. Suppose 0*v + t*u = -5*v, -2*v - 3*u = -1. Let s(x) = 2*x + 1 + 2*x - 3*x - 9*x**2 + 0*x**2. Calculate s(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1344\/(-196)*1)\/(-3)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 - 5*v**4 + (32*v - 32*v - 18*v**2)*(-2*v**2 + 2*v - 2*v).\nAnswer: 31*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15954 * 5\nAnswer: 79770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 412566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 - 17*c + 7. What is the remainder when 38 is divided by k(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 665.6 and -0.1.\nAnswer: 665.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 336 and 23492?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4\/11 + 1068136*l**3\/11 - 142616450568*l**2\/11 + 570452984704*l\/11 - 570448712192\/11 = 0 for l.\nAnswer: 2, 267032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n + 6. Calculate b(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**7\/840 + t**6\/180 + t**3\/3 - 2*t**2. Let b(k) be the first derivative of j(k). Find the third derivative of b(l) wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1020303994?\nAnswer: 2, 17, 30008941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**3\/2 - 150*p**2 + 335*p\/2 + 915 = 0. What is p?\nAnswer: -61, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -3*k**2 + 7*k + 6*k**2 + 13 - 12*k**2. Is f(-5) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -f + 3*f - 74, -4*y - 3*f + 291 = 0. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 138 + -82. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-0.474.\nAnswer: 2.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -23*o**5\/10 + 760*o**3\/3 + 2413*o**2. Differentiate w(f) wrt f.\nAnswer: -276*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = -3*t + 56. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -11*j**2 + 6*j + 9. Let i be k(-3). Let y be (-177)\/i - (2 + (-15)\/12). Which is the third biggest value? (a) y (b) -0.2 (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q + 35. Let y be l(-3). Let c be y\/(-175) + 62\/70. Factor -c*w**3 - 2\/5*w**2 - 2\/5 + 7\/5*w.\nAnswer: -(w - 1)*(w + 2)*(3*w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5196*k + 26416 + 5522 = -28692 + 8670. Let x(i) = -i + 300. Let d be x(0). What is the greatest common divisor of d and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*i = 2*r + 397*i - 832, -4*r + 5*i - 121 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1090212 is divided by 155724.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 690719063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -313321122 - -12?\nAnswer: -313321110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -213 - -229. Calculate the least common multiple of a and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*n - 680 = -2135. Calculate the remainder when 51 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5917 + -5916. Which is the biggest value? (a) -10\/37 (b) 5 (c) s (d) -6\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -715 + 724. Let g be (16\/(-72)*q)\/(1\/(-12)). Solve 0 = -7*w - w + g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**3 - 3856*t**2 + 263440*t = 0. Calculate t.\nAnswer: 0, 74, 890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 d when four letters picked without replacement from {c: 5, j: 4, d: 3}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 42\/4*((-34450)\/(-455) - 74) - (-4)\/1\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**5 - 5611*c**3 + 5611*c**3 - 26*c**2 wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -11 + (-87)\/((-957)\/154). Solve m = 2*k - w, 5*m + 5*k - 166 + 141 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367603157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/5 + 8794026*f\/5 + 19333723322169\/5.\nAnswer: (f + 4397013)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(720) + sqrt(45))*5)\/((sqrt(72)\/sqrt(2))\/sqrt(4) + (sqrt(9) - sqrt(144)*6 - sqrt(9))).\nAnswer: 75*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -44. Calculate the greatest common divisor of z and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 42. Let d(j) = -16*j**u + 8*j**2 - 6*j**2. Let a(o) = 2*o**2. Determine d(a(q)).\nAnswer: -56*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.60912353 rounded to four dps?\nAnswer: -9.6091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -378118, -378081, -378028, -377953, -377850, -377713, -377536, -377313?\nAnswer: -377038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 93, -4, -2249 in decreasing order.\nAnswer: 93, -1, -4, -2249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 43*q**5\/20 - q**4\/12 + 455*q**3\/6 - q**2\/2 + 618*q + 2. What is the second derivative of k(f) wrt f?\nAnswer: 258*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*v**3 + 27*v**3 + 67*v**3.\nAnswer: 181*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -565 (base 14) in base 6?\nAnswer: -4541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12663a (base 14) to base 6.\nAnswer: -21315312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + c + 3. Let x = 12 + c. What is the remainder when 33 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13100729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 7. Let b be a(0). Suppose -4*j - 5*f = -19, -2*j - b*f + 9*f = 4. What is the closest to -0.1 in j, -2\/7, -5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*m - 58*m + 6 = 0. Is m\/(-2) + 1 - 33748\/(-52) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, 4277 in descending order.\nAnswer: 4277, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1885861711?\nAnswer: 103, 18309337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 53394 from 0.\nAnswer: -53394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3835804, 3835803, 3835802, 3835801?\n\"Answer: -q + 3835805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.11 + 0.29. Let z = y - -6.82. Let s = -7.0052 + z. What is s rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m**3 + 0*m**3 - m**3)*(4*m - 5*m + 2*m) - 1 + 106*m**4 - 4721*m + 4721*m to the form t + z*m + h*m**3 + k*m**4 + q*m**2 and give k.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.93 times -23?\nAnswer: 1838.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57546536 + 57546535.70200169. Let u = w + 0.298. Round u to seven dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 6, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**3\/15 + 21376*h**2\/15 + 42776*h\/15 - 34208\/3 = 0.\nAnswer: -4, 2, 10690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33302 + 10?\nAnswer: 33312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/4918 and -49\/108548.\nAnswer: 266919532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -272 - 261*p**3 + 20*p**2 + 18*p**2 - 55*p**2 + 17*p**2 wrt p.\nAnswer: -783*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*a**6*w**3 - a**4*w**2 - 2*a**2*w**3 + a**2*w**2 wrt a?\nAnswer: 4560*a**3*w**3 - 24*a*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from {b: 4, h: 5, u: 3}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - -3. Let t = 26 - 42. Let o = y + t. What is the nearest to -0.1 in 1\/10, o, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4375125 and 0?\nAnswer: 0.4375125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 105 - 100. Suppose -30 = -5*a - n*a. Suppose a*t + 5*p - 84880 = 0, 5*p + 8 = -12. Round t to the nearest one thousand.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -353690 divided by -10\nAnswer: 35369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 2, 5, 245.\nAnswer: 0, 1, 2, 5, 245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 2 = -15*r - 82. Sort r, 2\/67, 4 in ascending order.\nAnswer: r, 2\/67, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6954, 0.1, 64, 3, -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b**2 - 29*b**2 + 7*b**2.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2601478149 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 19. Let m be n(-23). Suppose m*c - 3*c = 11*c. Suppose 0*w + 3*j = w - 35, 4*j = c. Calculate the remainder when 242 is divided by w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 122 = a. Suppose -l - a = c - 2*c, -c - 5*l + 152 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/2)\/j)\/j)\/j**(-13) assuming j is positive.\nAnswer: j**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36964 - -81509. List the prime factors of b.\nAnswer: 5, 59, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4279691 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2 - 5*a + 4. Suppose -8 = 2*n + 6. Let x(j) = -269*j - 10 + 6*j**2 + 816*j + 3 - 264*j - 274*j. Give n*d(p) - 4*x(p).\nAnswer: -3*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (-4 - (3 - 5) - -17) + -7.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -12*n - 118. Let q be y(-27). Let b = q - -39. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 6*q - 18 + 4*q**2.\nAnswer: 4*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23862, -47522, -71180, -94836, -118490, -142142, -165792?\n\"Answer: z**2 - 23663*z - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -65, -59, -47, -29?\n\"Answer: 3*d**2 - 3*d - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1252219347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -11*i. Let b(h) be the second derivative of -h**6\/60 - 2*h**3\/3 + 55*h. Let t(z) be the second derivative of b(z). Determine s(t(a)).\nAnswer: 66*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 1749552.\nAnswer: 22744176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + j + 2. Let u be j*(0\/(-3))\/3. Suppose -2*l + 10 + 2 = u. Solve -2*p = -l*p - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 5 = 2*g. Suppose 15*a - 310 = g*a. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f*j*n**3 - 35*f*j*n - 2*f*j + 2*f*n + 2*j*n**3 + 236*j*n**2 - 4*n wrt n.\nAnswer: -6*f*j*n + 12*j*n + 472*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j + 5234 = 5262 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05429 + 0.139.\nAnswer: 0.19329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1845869)\/(-209) + 1\/11?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 7640 = -5*y, 85*y + 6109 = 4*h + 86*y. What is the remainder when h is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2448 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + 5 - ((-6 - 5) + -15 + 38).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7050, 14101, 21152, 28203?\n\"Answer: 7051*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 - 4*k**3 - 3*k**3)*(-23 + 8 + 283*k + 15).\nAnswer: -1132*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - 6*q + 2. Let z be h(5). Let p = z + -16. Suppose -3*a - 40 = -7*a. What is the remainder when a is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 11:42 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -15, 0, -4, 912563 in descending order.\nAnswer: 912563, 0.5, 0, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 n when two letters picked without replacement from {t: 9, p: 1, n: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1093142.1 months to millennia.\nAnswer: 91.095175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -4\/3*o**3 + 0 - 1\/12*o**4 + 388*o + o**2. Suppose 0*t = 3*t + 27. Calculate a(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dnnn when four letters picked without replacement from {n: 3, d: 9}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 5*i**2 - 3*i - 14. What is o(-3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -541*j - 540*j + 1381*j = 2700 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*f + 5*p, -3*f + 30 = -5*p - 4. Let b = -1 + f. Suppose 2*d - 2 = 2*o, -b*o + o - 3 = -3*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5*(-370)\/(-888).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5013 (base 6) to base 11\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*r + 188 + 112 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m. Let h(b) = -7*b - 53. Calculate h(t(c)).\nAnswer: 14*c - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82113518 to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 133\/26?\nAnswer: 133\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/34)\/((-7)\/(126\/(-9)))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124 and 116002.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10497230?\nAnswer: 2, 5, 41, 25603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1949.\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3*(99\/(-15) - -6)*10\/(-3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2471*p + 26*p - 48962 - 15960 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.05071 - 0.05071. Which is the closest to 3? (a) g (b) 0.7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 e when three letters picked without replacement from {t: 9, e: 7, w: 3}?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10131 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40110276.\nAnswer: 2, 3, 17, 97, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4\/5 + 32*f**3\/5 - 76*f**2\/5 - 32*f\/5 + 78\/5 = 0. What is f?\nAnswer: -1, 1, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one sixteenth of a second?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 37*h**8\/24 + h**5\/6 + h**3\/2 - 594*h**2. Find the third derivative of q(t) wrt t.\nAnswer: 31080*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -47 in descending order.\nAnswer: 3, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i**2 - 7. Let h(n) = 2*n**2 - 2. Let m(w) = -14*h(w) + 4*p(w). Let z(d) = 4*d**2. Determine m(z(q)).\nAnswer: -128*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -88*h**3 + 21*h**2 + 237*h + 41. Is l(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n + 6. Let r(s) = -9*s + 13. Let k(a) = -13*i(a) + 6*r(a). Let c(g) = -4*g**2. Calculate c(k(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101022220101 - -1?\nAnswer: -101022220100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -38*y + 4. Let v(b) = -b**2 - 6*b + 2. Let t be v(-6). Let c be l(t). Let k be 30\/16 - (-27)\/c. Is 1 at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -101, 131, 373, 631, 911, 1219, 1561?\n\"Answer: o**3 - o**2 + 228*o - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6407377.134 rounded to the nearest 10000?\nAnswer: -6410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -774*n + 72 = -756*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -191035901.1 to the nearest ten thousand.\nAnswer: -191040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -5092275000 to the nearest one million.\nAnswer: -5092000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*b**2 + 2634*b + 396.\nAnswer: -2*(b - 66)*(20*b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 65 + (3 - 3) + 17 + 15 + -2.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4}. What is prob of picking 2 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 10, 3\/5, 194, -1 in descending order.\nAnswer: 194, 10, 3\/5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3160122 + -4?\nAnswer: 3160115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 14*z + 16. Let d be q(-12). Let m be (-27)\/14 + (-12)\/d. What is the biggest value in 6, m, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - 0.6. Let k be (((-120)\/(-54))\/(-5))\/((-6)\/9). Which is the nearest to l? (a) k (b) -3\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22708)\/(-3) + 3 - 12\/(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**8\/588 + 8*q**7\/735 + 2*q**6\/105 - 2*q**5\/105 - 5*q**4\/42 - 4*q**3\/21 + 2*q**2 - 7*q. Factor s(m).\nAnswer: 4*(m - 1)*(m + 1)**3*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**6\/180 - 17*z**5\/15 - 23*z**4\/4 - 104*z**3\/9 + 34*z**2. Factor g(n).\nAnswer: 2*(n - 104)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 153594, 153186, 152778, 152370, 151962?\n\"Answer: -408*s + 154002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89271, -178538, -267805, -357072?\nAnswer: -446339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15255.\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -621, -1261, -1927, -2631, -3385, -4201, -5091?\n\"Answer: -2*l**3 - l**2 - 623*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/5 - 2057441*v\/5 + 1371626\/5.\nAnswer: (v - 685813)*(3*v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302331 - -301?\nAnswer: 303232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 273088*k**4 - 66*k**3 + 2*k**2 + 5*k + 1179963.\nAnswer: 6554112*k - 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 565498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10 + 12)\/((-2)\/(-9)). What is the second derivative of 25*o**5 - 23*o**5 + o - z*o wrt o?\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1536 - 178662881\nAnswer: -178662880.8464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 6 + 2)*(-1 + 1 - 2*a) + 0 - a + 0)*(-3*a**4 + 3*a**4 + 3*a**4 - 3).\nAnswer: 15*a**5 - 15*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-12) - 5 - (-30772)\/294?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/8 + 21*m\/8 + 9\/2.\nAnswer: 3*(m + 3)*(m + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 838.8 + -752.8. What is the closest to -1\/31 in 0.3, -1\/2, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/33*(-9)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 163 and -22722.\nAnswer: -22559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99654 divided by 34.\nAnswer: -2931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -9 - 6. Let o = x + 17. What are the prime factors of o\/(-4 + 26\/6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.24 - -1.34. What is the closest to p in 2\/5, 292, -0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 213, 583, 1215, 2175, 3529, 5343, 7683?\nAnswer: 10615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*y - 1, 0 = -z + 2*y - 4*y - 22. Let q = z - -91. Suppose 3*t - q = 131. Is t a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(4\/19)\/r*r)\/r)\/r**(2\/17) assuming r is positive.\nAnswer: r**(-293\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 3\/(-2)*(-956)\/(-3). Let u = m + -358. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -275 + 275 - 23*p - 8*p**2. Let q(t) = -24*t**2 - 68*t. Let x(d) = -7*o(d) + 2*q(d). What is the second derivative of x(n) wrt n?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17120\/(-4815)*(51\/6 - 4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 56.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/26 (b) 0 (c) 5 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1620000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.000074 - 2. What is s rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*t + 141 = -73*t. What is the remainder when t is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (-3 - -4 - 0). What is the closest to 0 in i, -1\/5, 3\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 7) to base 4.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.7, 5, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 45*f + 351. Is 3 a factor of p(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, -0.8, -61, 4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 1892639\/5 + 9928\/(-12410) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 182*d - 5 + 1.\nAnswer: -182*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10.3 (b) 2691 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -88 + 25 + 0 + -28 + 6?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 0. Let m = 2.127 - 2.027. What is the closest to -1\/3 in 4, m, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12327 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/6 + 56\/24. Suppose -4*z = -f*z. Suppose -k + 3*c = 0, k - 2*c - 2 = -z. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 0 - 2\/9*w - 4\/9*w**2 - 2\/9*w**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*s, c - 2*s = 2*s. Let d = c - -1. Let g = d - -4. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10231301 (base 4) in base 12?\nAnswer: b215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/8 of a millimeter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3891 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-2))\/((28\/(-7))\/(-2)). Suppose m = -1, o = -4*p - 5*m + 761 - 138. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 19*b**3 + 4*b**2 - 13. Let t(h) = 9*h**3 + 2*h**2 - 6. Suppose -4*p - 73 = -21. Calculate p*t(q) + 6*v(q).\nAnswer: -3*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.2, -4, -0.09, 2\/3, -7?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4 = u, j + 4 = -4*j + 4*u. Let w = -35 + -1. Let p be (j\/6)\/(2\/w). Calculate the highest common divisor of p and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 321 + -4?\nAnswer: 31a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 9*k**5\/10 + 5*k**2\/2 - 2*k + 7. Differentiate l(i) wrt i.\nAnswer: 54*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**3 + k**3 - 2*k**3)*(1 - 1 + 2*k) + 2*k**4 - 3*k**4 + 0*k**4 + 2 - 715*k**4 + 808*k**4 - 5 to l*k + o*k**4 + a*k**2 + t + g*k**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(1\/3)*o*o**4*(o*o\/o**1)**4 assuming o is positive.\nAnswer: o**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 + 6*r**3 - 3*r**3)*(-47*r - 50*r + 121*r).\nAnswer: 120*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-430)\/(-15))\/((-12)\/1008). Which is smaller: p or -2410?\nAnswer: -2410","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*q**3 + 22*q**3 + 41*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -10*b**3 + 510*b**2 + 453*b - 58. Determine n(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y - 5*y**3 - 10 + 10*y**2 + 3*y**3 + 3*y**4 - 4*y**3 + 15 + 2*y**3 to q*y + u + c*y**2 + b*y**3 + p*y**4 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkgo when four letters picked without replacement from kyggokgzglyygly?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -579732 by -2.\nAnswer: 289866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2381*o**2. Let t(z) = 3*z. Give h(t(j)).\nAnswer: 21429*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r = -23*r - 100. Suppose -4*m = -8*z + 3*z - 16, 5*m - 3*z - r = 0. Solve -28 = m*j - 7*y + 4*y, 4*y = -3*j + 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 0*v - v - 1. Let s be q(-2). Let g = -3 + s. Let b(a) = a**2 - a + 16. Determine b(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -33*2\/(-18)*3. Calculate the highest common divisor of 55 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 + 55 + 5*t - 126.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4, -2, -3\/4, 20460?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*z + 2*c - 4*c, 5*c + 15 = -z. Suppose z = 5*j - 4 - 1. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52.5 - -52.5. Which is the third biggest value? (a) 1 (b) h (c) -0.302 (d) -5 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 132*g - 135*g = 0, -1 = z + g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -35190.7 to the nearest 100.\nAnswer: -35200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-6))**(2\/33)\/(m**15\/((m\/m**(1\/5))\/m)) assuming m is positive.\nAnswer: m**(-2558\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20080 divided by -4?\nAnswer: -5020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**0*u**(-3\/11)\/u)\/((u*u**(2\/3))\/u)**(-1\/23))**(-21))**(-16\/9) assuming u is positive.\nAnswer: u**(-105728\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13297 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 8*m. Suppose m = 5*w + w. Suppose -4*l = u - 41, w = 2*l - 5*u - 6 - 9. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307780 rounded to the nearest 10000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3 = 12. Suppose -s*z = -2*z - 17. What is the remainder when z is divided by (-4 - -1)*(-4 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -8\/5 (b) 60\/17 (c) -5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5.405 times -50.117\nAnswer: -270.882385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -7*d + 95. What is the remainder when d is divided by 1 - -4 - (3 + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 273622, 547247, 820862, 1094461, 1368038, 1641587, 1915102, 2188577?\n\"Answer: -d**3 + d**2 + 273629*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -4*u - 12, 8*u = 4*z + 3*u - 24 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 483*v + 1 + 475*v - 220*v.\nAnswer: 738*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 733 = 10*j + 153. Suppose j*r = 57*r + 1637. What are the prime factors of r?\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.972 + 2.472. Put y, -4, 1836, 0, -2 in decreasing order.\nAnswer: 1836, y, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/(-4))\/(36\/72). Let i = -9 + 13. Suppose 3*l - 4*w = -24, 2*l + i*w = 3*w - 5. Sort l, 3, c, -5 in ascending order.\nAnswer: -5, l, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-188)\/(-658))\/(2\/28) - 244\/62. Put -4, h, -122 in increasing order.\nAnswer: -122, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -14*s**3 + 8*s**2 + 11. Let v = 1 + 4. Let c(g) = 9*g**3 - 7 - v*g**2 - 3*g + 3*g. Let y(z) = z**2 - z - 11. Let a be y(3). Give a*q(r) - 8*c(r).\nAnswer: -2*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyfy when four letters picked without replacement from {c: 1, z: 2, s: 1, o: 8, y: 3, f: 5}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 926888.6l?\nAnswer: 926888600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(((d\/(d**(-2\/5)*d*d*d))\/d*d*d)\/d))*d)\/d**(-7)*d*d**(3\/10)\/d*d*d*d**(3\/5) assuming d is positive.\nAnswer: d**(93\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2569 + -13)*4\/(16\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.34 or 0.13?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115852 (base 9) to base 6.\nAnswer: -1255502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2. Let f(y) = -y**2 + 0*y + k*y. Let x(s) = 6*s**2 + 6*s**2 - 10*s**2. What is f(x(a))?\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/6 (b) -0.4 (c) -0.5 (d) -2 (e) -1\/473\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.67 times -11.48?\nAnswer: -53.6116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.61 + 0.75. Let t = v + 0.16. What is the biggest value in -1\/5, t, -1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 10*a**3 + 3*a**2 + 4*a - 7. Let t(c) = -21*c**3 - 6*c**2 - 9*c + 15. Determine 13*d(g) + 6*t(g).\nAnswer: 4*g**3 + 3*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 divided by -309?\nAnswer: -76\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o - 3 + 3 - 3 + 6. Let l(s) = 2. Let v(k) = k + 1. Let r(f) = l(f) - v(f). Give -4*r(d) + w(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 320.908 millimeters in kilometers?\nAnswer: 0.000320908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 39*h**2 + 6*h + 227. What is b(-39)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168501285.\nAnswer: 3, 5, 587, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 16 (b) -1 (c) 0.021\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 140 = 5*h - 950, -2*h = s - 324. Calculate the highest common divisor of 18 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 23*w - 24. Let y be z(-11). Calculate the common denominator of y\/(-56) + (0 - 2) and 27\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 34\/(-15) - ((-370)\/(-50) + -7). Which is bigger: -0.15 or n?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04179 - 108.04179. Which is the closest to -0.1? (a) g (b) -1\/2 (c) -2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-23 + 41 - 15)) + (3 - 26 - -2)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4591080*z**3 + 16967404?\nAnswer: 13773240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 137*a**5\/5 + 71*a**4\/8 + a**3\/6 - 728*a**2. What is the second derivative of g(z) wrt z?\nAnswer: 3288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79280.\nAnswer: 2, 5, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100000 (base 2) to base 13.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 199*n - 16 - 9*n - 181*n + 6.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**2. Let g(t) be the first derivative of -t**2 - 29. Calculate c(g(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**4\/24 + 7*a**3\/3 + 6*a**2. Let m be l(-13). Differentiate 0 + m - 3*o**3 + 5*o**3 + 0*o**3 with respect to o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.1 (b) -3 (c) -0.3 (d) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 30*p**3 + 24*p**2 + 46*p - 21. What are the prime factors of d(9)?\nAnswer: 3, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t - 5. Calculate b(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -999*k. Let d(t) = 125880 - 125880 - 2*t. What is i(d(r))?\nAnswer: 1998*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 - (-99)\/(-15) - 5954\/10. What is u rounded to the nearest ten?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = 3*a + 1225. What is the remainder when a is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 divided by 724?\nAnswer: -33\/362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 504, 999, 1482, 1947, 2388?\nAnswer: 2799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)*s**(-4\/9))**(-2\/17)*(s**(5\/3)*s\/(s*(s**3\/s)\/s*s))**(-17\/3) assuming s is positive.\nAnswer: s**(43\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**6\/40 + n**5\/15 - 2*n**3\/3 + 2*n**2 - 108. Let p(z) = -5*z**3 - 7*z**2 + 7. What is 4*p(g) + 7*w(g)?\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 >= 141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6097 - -12557. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/(-4) - (-1)\/2. Let t(i) be the first derivative of -3*i**4\/4 + 5*i**2\/2 - 5*i + 28. Let b(o) = o**3 - 3*o + 3. Determine u*b(x) - 3*t(x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*b**3*t**4 + 4*b**3 + 5*b**2*t - 705*b*t**4 - 11*b - t**2 wrt t?\nAnswer: -192*b**3*t - 16920*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*w + 4*w. Let n(c) = 4*c**2 + 1. Let a be n(w). Suppose -a*b + 3*p + 19 = -19, -4*b - 4*p = -56. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -18*v**3 + 659*v**2\/2 - 191*v - 2. What is the derivative of b(m) wrt m?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 770 + 116 + 174 = -106*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 8 + 0 = 0. Let p be 24 + -1 - (0 + 4*h). What is the highest common divisor of 54 and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4232 and 5704.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 53*y**4\/6 - 5*y + 14. Let r(h) = 9*h**2. Give r(z(n)).\nAnswer: 101124*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-447)\/(-7) + (-390)\/(-182) - (20 + -2).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 2\/1 - (-286)\/(-77)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -0.5 (b) 0.2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 836322.2 millennia?\nAnswer: 836322200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 108766*q*w**4 - 107817940*q + 22*w**4 wrt w?\nAnswer: 435064*q*w**3 + 88*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*h - 3 = -4, 2*u - 3*h = 46. Let l(r) = -2*r**2 + 32*r + 39. Calculate the remainder when (-1 + 8)\/(-2 + 3) is divided by l(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9282, -18509, -27736, -36963, -46190, -55417?\nAnswer: -64644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 817730411?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.73 + -0.721. Let v = u - -0.991. What is the nearest to 3 in v, 4\/3, 1\/6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3164855471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103.8 + -15.2. Let z = -2284724.9937 + 2284606. Let t = o - z. Round t to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 5*u**2 - 6*u - 3. Let s be c(-4). Let k = 1145 - 1143. Solve 4*x + k*h = h + 8, 0 = -3*x + s*h - 17 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 73*b - 2. Let i be o(2). Does 38 divide (-6)\/(i\/(-6)) + (-910)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 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: 111423 (base 6) to base 3\nAnswer: 110221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10965 = -657*t + 42742 - 2389 + 26457 for t.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**0*a*a)\/a)**(-12))**(21\/5)\/((a**(-2\/7))**41*a**7*a**(-1)\/a) assuming a is positive.\nAnswer: a**(-1529\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 515*s**7\/7 - s**4\/4 + 30*s**3 - 6*s - 875. What is the third derivative of q(u) wrt u?\nAnswer: 61800*u**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**4\/4 + 8*b**3\/3 + 3*b**2 + 9*b - 2. What is the tens digit of h(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -14.4. Let g = m - 2.3. Let v = -0.1 + g. Which is bigger: v or -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 3*j**2 + 3*j + 4. Let w be u(-4). Suppose 4*t = w*t - 16. Let i be t\/(-8) + 7\/2. Solve -i*h + 2 = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-35 + (-6 - -27) - (-8 + -2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -461*d + 2298. Let z be w(5). Let y = -1\/10 - 2\/5. What is the nearest to y in 4, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19011004 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*t - 2*o, 5 + 5 = 2*o. Suppose 25 = 71*k - 117. Sort 4, k, t in increasing order.\nAnswer: t, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 2 - (-1 - -14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(12\/(-951)) + (-1)\/(-2). What is the tens digit of (12\/8)\/(-3)*u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 5:08 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, 8, 270, -1 in ascending order.\nAnswer: -1, 8, 56, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdddjdjddddjdd. Give prob of sequence dd.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10427 - -14777. Suppose -m = -4*d - 11*d. Does 29 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -363.521 - -8.421. Let h = 355 + f. Let m = 5.3 - 0.3. Which is the second biggest value? (a) m (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 5*z + 1. Let m be c(6). Let j = m + 5. Solve j*n = -n + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axgggaaagna. What is prob of picking 1 x, 1 n, and 1 g?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = -75 - 205. Let a = m - -37. Solve v + 3*s - 5 = 0, -2*s = -a*v + 3*s - 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12535\/28673 or 0?\nAnswer: -12535\/28673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 1:21 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 c, and 1 l when three letters picked without replacement from {z: 3, o: 4, l: 3, j: 1, c: 2, d: 4}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 5:47 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 + 19971915\nAnswer: 19971914.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 278485312 and 448.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -t - 24. Let y be 4\/t*6\/(-1). Which is the second smallest value? (a) 1 (b) 2\/17 (c) y (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 393\/5*k - 324\/5 - 3\/5*k**3 - 66\/5*k**2 = 0.\nAnswer: -27, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -40*k**2 - 26*k**2 + 19*k**2. Let s(v) = -2*v**2. Determine s(q(a)).\nAnswer: -4418*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*z = -219*z + 22. Suppose -z*h = -8, -5*j - 14*h + 9*h = -69165. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -21, -3 in descending order.\nAnswer: 3, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -104, -0.3, 44, 1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90 - -101. Let k(n) = 4*n**2 + 9*n - 44. What is the units digit of k(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rusuuuuuururr. What is prob of picking 2 r?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(10\/4 - 6). Factor -s*v + 2\/7*v**3 + 0 + 0*v**2.\nAnswer: 2*v*(v - 1)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**2*z + 16*j**2 - 5156*j*z - 178223*z wrt j.\nAnswer: 4*j*z + 32*j - 5156*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46647217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -1.3. Let h = p - 1.2. Let a be 0 - 1\/(-14)*2. Put a, h, 3 in descending order.\nAnswer: 3, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782785 is divided by 742.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7983*d - 6673*d + 14656*d - 2*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 1. Let z(p) = 6*p + 8. Let s(k) = 4*c(k) + z(k). What is the least common multiple of s(3) and 44\/((-3)\/6 + 1)?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h + 207*h + 297*h = 3445 - 24724 for h.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/3 and -109\/5400320?\nAnswer: 16200960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 206 + -202. Solve -21 = -4*i - q + 6*q, 2*i - r*q = 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -2)\/(-3 - -2). Suppose c + 2*c - 60 = s. Solve -4*p + 4 = 4*h, -c = 5*p - h - 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -42, -36, -28, -18, -6, 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, y: 1}. What is prob of sequence syyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.6 * -0.05.\nAnswer: -0.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11666.\nAnswer: 2, 19, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.2 - -27. Let i = 4 - o. Sort 1, -1, i in decreasing order.\nAnswer: 1, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 2222.7.\nAnswer: 2222.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4057 - -461711.69\nAnswer: 457654.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000239099 rounded to six dps?\nAnswer: -0.000239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 212191897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193422 is divided by 346?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 229*l - 913. Give i(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*n = 56*n + 3024. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 1. Let i = -5 + u. Let l = 0.2 - 0.7. Which is the nearest to 0? (a) i (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000026289 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 4. Let w(o) = 2. Let s(y) = -i(y) + 5*w(y). Let m be s(2). Solve -k + 3*d = -8, 0*k + m*k + 10 = -2*d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f. Let i(d) be the first derivative of 2*d**3 + 44. Calculate w(i(o)).\nAnswer: 30*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhlhhhhhhh. What is prob of sequence lhh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 1:56 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**4\/4 - 50*s**3\/3 + 2*s**2 + 200*s - 275. Find o, given that m(o) = 0.\nAnswer: -50, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d. Let y(v) be the third derivative of v**6\/720 - v**4\/8 + 2*v**2. Let n(w) be the second derivative of y(w). Calculate b(n(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/(490\/300)*-7*16\/42.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700)*1 + 1 - sqrt(700)*3*-3.\nAnswer: 1 + 100*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouuooddooud. Give prob of picking 1 d and 1 u.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/6 + 235*q**2\/6 + 2807*q\/3 + 5140\/3.\nAnswer: -(q - 257)*(q + 2)*(q + 20)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + n = 4*n - 23, 28 = 4*i + 4*n. Let s be (i - 3)*(-2 - 1). Let a = -10 + 14. Put 0, a, s in descending order.\nAnswer: a, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 11*r + r**2 - 36*r + 10*r + 10*r - 4288*r**3 + 1.\nAnswer: -4288*r**3 + r**2 - 5*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798 = -115*z + 927 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2493923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190770542?\nAnswer: 2, 251, 293, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - -105. Let s(h) = -5 + 7*h**3 - h**2 + 6 + 2*h**2 - 2*h. Let j be s(1). What is the greatest common divisor of j and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 9 = 39. Let d(k) = -16*k**2 - 4*k**3 - 17*k**3 + 19 + 22*k**3 + 18*k. Is 4 a factor of d(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130476298 to the power of 1\/2, to the nearest integer?\nAnswer: 11423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/9))**(-4\/29)\/(t*t**(2\/7))**(-14))\/(((t**(6\/11)\/t)\/(t**(-6)\/t*t))\/(t**(-3\/8)*(t\/t**(-2\/9))\/t)) assuming t is positive.\nAnswer: t**(94417\/7656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 22. Suppose -5*d = 2*x - 97, -3*d - d + c*x + 96 = 0. Calculate the remainder when 40 is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a meter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 22 = 4*y, -d - 16 = 5*y - 53. Let n(v) = 4*v**3 - 11*v**2 + 15*v + 17. Does 13 divide n(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(5)*3 + 2)*4 + (sqrt(640) + sqrt(640)*-1 + sqrt(640))\/(sqrt(32)\/sqrt(4)*1).\nAnswer: 12 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -1607*d**4\/6 + 2*d**3\/3 + 2*d**2. Let s be g(-7). Round s to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.71317*4\nAnswer: -46.85268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + m = 5, 3*m = 5*j + 8*m + 20. What is the common denominator of -97\/24 and 34\/(-120) - (-2)\/(-2)*j?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4759\/4 + 4757\/4. Which is the closest to 2.5? (a) -1\/4 (b) 1\/12 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**2 - 31948 - 27*v**3 + 31948.\nAnswer: -27*v**3 - 10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1792890716 to the nearest integer?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3883 divided by -1\nAnswer: 3883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.94651 rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 349470801 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + 1*(sqrt(6) + -1*sqrt(150))\/sqrt(768))**2 + -1 + 0.\nAnswer: -7*sqrt(2)\/2 + 385\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4) - 73\/2. Let i be (-2)\/(-9) - 100\/o. Suppose i*r - 10 = -2*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -16 - (16 - (53 + 5 + 0))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1730?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eppp when four letters picked without replacement from yyeypveyeyyyyyyvvyey.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -1\/3*w**3 + 6*w - 2*w**2 + 1\/10*w**5 + 0 + 1\/3*w**4. Determine k, given that g(k) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3\/5 - 119974*j**2\/5 - 359856014*j - 1799160098\/5 = 0. What is j?\nAnswer: -29993, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 2. Let p = -3.8 + 3. Let g = p + 0.7. Which is the nearest to g? (a) -0.3 (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -17*l. Suppose 0 = -3*b - 2*b + 25. Let h(s) = -b - 3 + 8 - s**2. Give a(h(p)).\nAnswer: 17*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-4 - -2)) + -10 - (125 - 135)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26668329 to the power of 1\/3, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-21)*714\/5236.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 17*c - 24*c - 13*c - 48*c + 127*c - 16*c.\nAnswer: 9*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, z: 4, y: 2, e: 1, h: 5, b: 1}. Give prob of sequence ze.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10a - 1022?\nAnswer: -b14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 520*x - 22312. Determine d(43).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4*114582963\nAnswer: 458331852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 3455444?\nAnswer: 24188108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8248 and 10310.\nAnswer: 41240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**4 - 9*o**2 + 2*o. Let f(z) = -14*z**4 - 44*z**2 + 11*z. Let x(y) = -11*a(y) + 2*f(y). Find the third derivative of x(s) wrt s.\nAnswer: 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**3\/9 + 16*u**2\/9 = 0?\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**7\/3780 + u**6\/180 + u**5\/36 - 25*u**4\/108 - 29*u**3\/6 - 3*u + 5. Let r(p) be the second derivative of f(p). Factor r(a).\nAnswer: 2*(a - 1)*(a + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144222 - 187253 = -25*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-14)*(41 - 2225\/15) + -1?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21984 and 928320.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-210)\/60)\/(58\/22) and 83\/34.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4075 rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-33) - (-1557)\/33. Sort 1, -3, d, 0 in descending order.\nAnswer: d, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**3\/(h**1*h)*(h\/((h**1*h)\/h))\/(h**(-1\/2)\/h) assuming h is positive.\nAnswer: h**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12838 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 6:36 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 a factor of 182879717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39073936 - 39074018.000319. Let b = -82 - o. Round b to 5 decimal places.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 87\/4, -0.09, 0, 16, -4\/7.\nAnswer: -4\/7, -0.09, 0, 0.3, 16, 87\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1231976 or 1231195?\nAnswer: 1231976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 130 + 55 = 5*d, 102 = 5*s + 4*d. Let w = s - 16. Solve m - 4 = 0, v + 12 = w*v + 3*m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321790 is divided by 110.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 9*s**7\/7 - 16*s**3\/3 - 19. Find the third derivative of a(y) wrt y.\nAnswer: 1080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**11*r**(-16))**(7\/10)\/((r\/(r\/r**(2\/3)))**4\/(r*r*r**1\/r*r)**7) assuming r is positive.\nAnswer: r**(89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22940704?\nAnswer: 2, 716897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -114*b - 192. Calculate l(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xuxo when four letters picked without replacement from {x: 2, u: 4, o: 7}.\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101920 is divided by 67?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6 = -0*o. Let g = o + -4. Let k be (g\/(-12))\/(2\/8). Which is the third biggest value? (a) 3 (b) k (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 9:59 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -546 + 835. Let x = -162 + k. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2062 = -i, -5*i = x - 8380 - 1930. Which is smaller: 2063 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2442)\/(-46) - (-50)\/(-575))\/(-32) and -97\/152?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 + 31*z + 78. What is d(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 4 + (4 + 1 - 3)*(2 - 2 + 1))*(-9*z + 5*z - 2*z + (21 + 1 - 5)*(-5*z + 4*z + 0*z)) in the form c*z + d and give c.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1153226*c*z**3 - 45890*c*z**2 - z**4 + 23*z**3 - 2524*z**2 wrt z.\nAnswer: 6919356*c - 24*z + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -888.74 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 13*p**2 + 53*p - 65. What is y(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*q - 145 - 173, 187 = 3*q - 5*o. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/10 and 51\/410.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -410746955 + -1?\nAnswer: -410746956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 - d - 109. Calculate h(0).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004434 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 66 + 179a2b?\nAnswer: 179a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -39 (b) 2 (c) -1\/4 (d) -0.05 (e) 2\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 103*t**6\/30 + t**5\/60 + t**4\/12 - t**3\/3 + 2*t**2. Is r(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -332, 19, 598, 1399, 2416?\n\"Answer: -a**3 + 120*a**2 - 2*a - 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -m + 4*z - 0*z, 4*m = -3*z + 20. Let l = 12445\/4 + -3110. Which is the closest to m? (a) 2\/11 (b) 0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17358*j - 1 + 4342*j - 6193*j.\nAnswer: -19209*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -24*m**2 + 15*m + 5. Let y(o) = -o**2 + 2*o + 1. Calculate c(b) - 6*y(b).\nAnswer: -18*b**2 + 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.88 in -0.2, -3, 15.3, 5\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -13*y**2 + 249*y + 7089. Give b(-17).\nAnswer: -901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-723 - -724)\/(0 - (-4018)\/(-1340) - (-30 - -27)). Let c be -1 - 11\/(-1 - 0). What is the highest common factor of c and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 4 (c) -2\/85 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a decade in months?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 586977 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 301177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1522482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2 - a**3 + 0*a**3 + 144*a + 2*a**3 - 145*a. What is o(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i + 37 + 0*i + 35 + 3 - 29.\nAnswer: -3*i + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-28) - (-1)\/(2 + 5)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 266 - 4\/(-6)*3. Let o = d - 111. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.720309 * 3\nAnswer: -5.160927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*f + 46, -p - 2 = f - 2*p. Let c be f\/(-9) + 11\/(-3). Which is smaller: 7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -838 - -1324. Let r = -235 + h. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let j = 16 + 47. Suppose 3*i - j - 9 = m. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 4*n**2 + n - 6. Determine g(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66*a**5 + 17*a**4 + 2139*a?\nAnswer: 1320*a**3 + 204*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1145694 or -1145692?\nAnswer: -1145694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-14))\/(-3*-10*12\/(-1080)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2125\/16 - 133. Put 2\/7, v, 0 in descending order.\nAnswer: 2\/7, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 - -23. Let n = 26 + f. Let c be n\/2*0\/1. Let o(r) = r**2 - 5. Calculate o(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30490 * 446.\nAnswer: 13598540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -150, 184, -3, 1 in increasing order.\nAnswer: -150, -5, -3, -1, 1, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*g = 176*g + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 4*n**2 - 4*n - 3. Let p be j(5). Factor 2 - 3*d**2 + d**p - 2*d**3 + 8*d**2 - 6*d.\nAnswer: -2*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 10*c + 7*c. Suppose c = 15*n - 19231 + 5401. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3230\/13 + 151459\/611. Which is smaller: -5 or m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + w**3)*((-4*w + 3*w - 6*w)*(-3*w - 3*w + 4*w) + 52*w**2 - 14*w**2 - 16*w**2).\nAnswer: 36*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69066?\nAnswer: 2, 3, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 2281\/5?\nAnswer: 2281\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1957*p + 2667*p + 2066 - 5616 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/5*(-35)\/(-21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2159910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -8*u**2 + 735*u + 1495. What is y(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 55*d**3\/6 - 17*d**2 + 29*d. List the prime factors of v(4).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from psss. What is prob of sequence ps?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11224720 + -2918388861\/260. Let u = 1980\/13 - j. What is the common denominator of -57\/14 and u?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1. Let d = g - 0.1. Let p be ((280\/(-25))\/(-7))\/(6*(-14)\/(-60)). Is d less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**3 + 0*j + 6\/5*j**5 + 0*j**2 - 15\/8*j**4 + 4 - 1\/4*j**6. Factor l(r).\nAnswer: -3*r**2*(r - 2)*(r - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/2 - 11*m**3\/2 - 22*m**2 - 38*m - 24.\nAnswer: -(m + 2)**2*(m + 3)*(m + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 2*a**2 - 10*a - 9. Give b(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = -3*h - 2*p, -2*h + 6*p - 1224 + 1176 = 8*p for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -3\/5 (c) -0.09 (d) 3 (e) -0.1 (f) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 + 3*q**2 - q**2 + (-q + 1 - 1)*(q - 6*q + q) - 2 + 2 - 3*q**2 + (6 - 11 - 2)*(-2*q**2 + q - q).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5361352*d**5 + d**3 - 4970868*d**2.\nAnswer: 321681120*d**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 9669 - 9636 = -2*n, -4*q - 48 = -0*n + 4*n for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -44\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 462?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 79938045*k**4 - 47039945 wrt k.\nAnswer: 319752180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -5*n + 26, -102*n - 2 = -101*n - 4*h for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -14, 1, -7, -24, -1 in decreasing order.\nAnswer: 1, -1, -7, -14, -24, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 0)*((-12)\/(-8) + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -22. Let o = h - 2. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c8804 (base 15) to base 7.\nAnswer: -14602015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1636835 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(275)*4*-4)**2.\nAnswer: 140800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 771 is divided by 181.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11599961 or 11599962?\nAnswer: 11599962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 27. Let k be 2 + (2 - 2) + p. Suppose 31 = 7*o - k. Solve -o = -3*h + 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -194108\/5 - -38822. Let l be (3\/2)\/(0 + 3). Which is the second biggest value? (a) l (b) i (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52502, 52353, 52204, 52055?\nAnswer: 51906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4\/9 + 826*q**3\/9 + 70859*q**2\/3 + 16133980*q\/9 + 15922228\/9 = 0. Calculate q.\nAnswer: -346, -133, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64470 + 451288\/7. Let j = 10\/13 - 17\/39. Which is the second smallest value? (a) 0.1 (b) j (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-11) + 60557\/(-2321)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4091 + 3)\/(-2) - (-4 - -3). Suppose -105 + f = 20*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -17*o. Which is the third smallest value? (a) o (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 - 51 - (-1 + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -113047*z**2 + 8*z - 7387?\nAnswer: -226094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1882 divided by -10.\nAnswer: -941\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1897.36 + -1866. Let n = r + -31. Round n to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -22. Let m(g) be the third derivative of g**4\/8 - 5*g**3\/3 + 13*g**2 - 2*g. What are the prime factors of m(j)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -8*b**2 - b. Let c(k) = 4*k**2 + 3*k. Let j(v) = v**2 + v. Let t(h) = -c(h) + 3*j(h). What is 6*t(q) - w(q)?\nAnswer: 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 141, 140, 87, -24, -199?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.025 - -0.665. Let t = i + -0.65. Let r = t + 7.01. What is the biggest value in r, -5, 4, -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 16. Suppose 5*q - c - 215 = 0, 0 = 5*q + 2*c - 22 - 178. Let y = 44 - q. Solve s*p - y = -w - w, 0 = -3*w + 3*p + 18 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**4\/5 - 33*l**3\/5 + 768*l**2\/5 - 276*l = 0.\nAnswer: -23, 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13094 is divided by 2180.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, -102, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-92652)\/(-378) + 1\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvvvzazwwvzwzhvvl. Give prob of picking 1 z and 1 a.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 10:45 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*t = 44, -94 = -3*c + 4*t - 5*t. Suppose c = -24*j - 18. Put 2, -36, j in increasing order.\nAnswer: -36, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 0, 4*v + 4*k - 5 = 9*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433*m + 482*m + 1569*m - 42484 - 29552 = 0 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94 + -25. Differentiate -m*z - 25 - 45*z + 36*z - 27*z with respect to z.\nAnswer: -105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/323 - -17953\/14535. What is the common denominator of (-20)\/(-10) + (-118)\/(-30) and g?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 + 3*n - 4. Let u(s) = -2*s**2 - 2*s + 3. Calculate -3*a(t) - 4*u(t).\nAnswer: -t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -4 (c) 0.5 (d) -32\/3 (e) -5 (f) 212\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5370)\/(-900) - 1*3 and 58\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2701 + -2628. What is the remainder when v is divided by 70?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*t = -2*n - 115*t - 10, 0 = -5*n - 2*t - 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -63*c**2 - 15*c - 15. Let y(j) = 9*j**2 + 2*j + 2. Suppose -h = 2*r - 40, -h - 7 = -3*r - 62. Suppose h*g - 45*g = -15. Determine g*y(v) - 2*z(v).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27422, 109703, 246834, 438815, 685646, 987327?\nAnswer: 1343858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110001010000110100000 - 10100010?\nAnswer: 10110001010000011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)\/sqrt(2))\/sqrt(2))**2*2.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i - 21*i + 47*i.\nAnswer: 34*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*v + 8, v - 1 - 9 = -5*h. Solve 4*c - 11 = -f + c, 4*f + 5*c - 9 = v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90557.6 rounded to the nearest one hundred?\nAnswer: 90600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/3 - 732*v**3 - 4388*v**2\/3.\nAnswer: -v**2*(v + 2)*(v + 2194)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 2\/9 (b) -10 (c) -4\/7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + (sqrt(136)\/(sqrt(8)*-2 - sqrt(8)) + (sqrt(102)\/(sqrt(6) - sqrt(96)) - sqrt(17)) - sqrt(102)\/(sqrt(72)\/sqrt(3) + sqrt(6))) + -1 + 2.\nAnswer: -2*sqrt(17) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 2 + (-12 - 12) + 5 + (6 - 11).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 116 + -111. Suppose u = 3*u + q - 5, -4*u + 17 = -5*q. Which is the second biggest value? (a) h (b) u (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*p - 5*i, -217*p + 5*i = -220*p + 24. Solve 3*k + 21 = -9*w + 5*w, 3*w + p = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6430.524 millimeters?\nAnswer: 6.430524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + 8 + 3 + 20 + 19?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 6628*w - 237653. Calculate g(36).\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q**4 + 27*q**3 + 7*q**2 - 11*q - 9. Let y(s) = -13*s**4 - 56*s**3 - 14*s**2 + 20*s + 18. Let b(t) = 9*i(t) + 4*y(t). What is n in b(n) = 0?\nAnswer: -9, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 153*p**2 + 5*p - 15. Let a be n(2). Suppose -a + 562 = -3*l. Solve -5*d - 2*k + 3 = -4*d, 5*k = -4*d + l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*8.8.\nAnswer: 316.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -34 + (44 - (-11 + 33))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 6*a - 3. Let r be s(5). Suppose -2*z - 12 = -5*z. Let w be 45\/(-10) - 2\/z. Sort r, w, -4 in decreasing order.\nAnswer: r, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from {t: 5, u: 4, i: 3, q: 4, n: 1, c: 1}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 195.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1457571187.\nAnswer: 19, 76714273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77411 and 9243029?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*g**2 - 13716*g + 9*g**2 + 9513*g - 28950*g.\nAnswer: -25*g**2 - 33153*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 12, 0.4, -0.9, 5 in increasing order.\nAnswer: -0.9, -4\/7, 0.4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0149541898 to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 - -142221?\nAnswer: 142300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, -61, -218, -439, -724, -1073?\nAnswer: -1486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12489*-33.8.\nAnswer: 422128.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-264)\/32*424\/53?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 36*n + 32*n + 119 + 23*n**2 + 38*n - 111*n + n**2 - n**3. Give x(24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -10*l - 3. Let d be u(6). Is 10 a factor of d\/(-6) - (-2)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 4\/883, 3\/4, -45, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 8683.\nAnswer: -7\/8683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2806 + 3295347313?\nAnswer: 3295350119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2 + 596808*a + 1193624 = 0. What is a?\nAnswer: -2, 298406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 472, 1831, 4022, 6985, 10660, 14987?\nAnswer: 19906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(19)*3*3 - -6*sqrt(171))**2 + sqrt(931)*2*-3 + 0.\nAnswer: -42*sqrt(19) + 13856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192092454?\nAnswer: 2, 3, 1571, 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-4))\/((-5)\/(-3)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - l**3 + l**3)*(l - 3*l + l)*(-5 + 4 + 2 + (3 - 1 - 3)*(2 + 0 + 0) - 3 + 2 + 0).\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7567912*x**2 + 16339899*x?\nAnswer: -15135824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*(-1 + sqrt(684))*1)**2.\nAnswer: -24660 + 432*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*c - 300, 5*c - 4*o + 3*o = 705. Let z be (c\/8)\/5 - -4. Solve -z*p**4 + 41\/2*p**3 - 39\/2*p**2 + 15\/2*p - 1 = 0.\nAnswer: 1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/36608 and 123\/1430?\nAnswer: 183040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**6\/135 - r**5\/6 + 7*r**4\/6 - 49*r**3\/27 - 98*r. What is l in h(l) = 0?\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-8)*(-668)\/501. What is the nearest to -50 in 0.02, 2\/3, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 140\/(-60) - 14\/(-6). Let b(a) = -a**3 + 9*a**2 - 6*a - 7. Let c be b(8). Which is greater: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 8*x**4\/9 + 4860482*x**3\/9 + 109371736080*x**2 + 66450056030166400*x\/9 + 16612452486016000\/9 = 0?\nAnswer: -202520, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2131776?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 28 = 15*a. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -665*t**4 - 2*t**2 + 67*t + 1235109.\nAnswer: -2660*t**3 - 4*t + 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*j + 9 = 3, -2*j = 4*u - 12. Suppose 2*o + 4 = -5*d, u*d - 3*o - 3 + 16 = 0. What are the prime factors of (18\/(-27))\/(d\/219)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from pcccpccc.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7319021ml to litres.\nAnswer: 0.0007319021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zljwswz. What is prob of picking 1 z and 1 l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -702, 0, 5, -1, -268 in ascending order.\nAnswer: -702, -268, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*z - 13*z - 64. Suppose z = s - 3*c, -c - c = 4*s - 8. Calculate the remainder when s is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5 - 25*k**2 + 8 - 2 - 3.\nAnswer: -25*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 896 = 33*q + 1391 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 325 divide 1375725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -60395304.\nAnswer: -60395303.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a**(-1\/5)))**(-2\/67)*a**(-4)\/a**(-3\/4))**(-45))**(-22) assuming a is positive.\nAnswer: a**(-431937\/134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from {y: 1, a: 6, s: 3, u: 5, k: 3}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by -4672.\nAnswer: 29\/4672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 15 = 2*c - 7*c, 4*c + 24 = 2*v. Let m be ((-3)\/6)\/(v + (-39)\/24). Let a = -6 + -12. What is the second smallest value in m, a, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -937, -938, -939, -940, -941?\nAnswer: -942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45995 - 45995 + 12*h**2 - 31*h**2.\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1480 is divided by 480.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**11*b*b)**(-33)*b**13\/((b**(-5)*b*b)\/b))**(-6\/17) assuming b is positive.\nAnswer: b**(2670\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 7 + 1 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.3 minus 8889?\nAnswer: -8905.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 166, 375, 668, 1045, 1506, 2051?\nAnswer: 2680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29304203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -343091*t**3 + 8*t**2 - 9*t + 2. Let p be z(1). Is p\/(-45) - 3 - (-14)\/(-63) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + 5*(sqrt(500) + sqrt(500) + -2 - sqrt(500)))**2 + sqrt(500).\nAnswer: -1190*sqrt(5) + 18100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 a when three letters picked without replacement from {t: 1, a: 1, p: 2, h: 2, u: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 + -40. Solve -a + 4*r + 21 = 0, a - 5*r + h*r = 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 6:32 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 45. Suppose 7 = -4*j + n. Solve j*y + 2 = m - 4, 5*y + 4*m - 11 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 1. Suppose g + 11*g = 12. Let r(a) = 2*a**3 - 4*a**2 + 4. Give g*r(n) + 6*t(n).\nAnswer: 2*n**3 + 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1*-2)\/(14\/(-21)). Suppose -2*j + 364 + 782 = 4*y, -591 = -2*y + 5*j. Suppose a = n - 68, -4*n - u*a - a + y = 0. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 2:34 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14263.\nAnswer: 17, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 33*r**2 + 71*r + 117. What are the prime factors of w(34)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 - 17. Suppose p + 3 = 8*x. Solve x = -2*t + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 16 = -h - 2*r, 2*r + 2 = 0. Suppose -5*a = -69 + h. Solve -2*d - a = 4*q, 3*d + 0*d = 2*q - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 9*l. Let y be (0 + 5)*(1 - -1). Let g = 125 + -115. Let t(n) = n + g - y. What is s(t(k))?\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 4. Let m = 23 - 27. Which is the biggest value? (a) q (b) 5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p. Let k be z(5). Let o(g) = 3*g - g + k*g - 2 - 9*g. What is the remainder when 29 is divided by o(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.167? (a) 2\/19 (b) 5 (c) -5 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 162 in 0.1343, 5, -94, 2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o*s**2 + 19*o*s + 125*s**2 - 16*s wrt s.\nAnswer: 4*o + 250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5923326 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/5 + 44\/(-10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12821 + 28842 = 14*t - 108487. Does 25 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = -2*z + 15273. Suppose -45*x - z = -6782. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*d + 168 = -0*d. What is the remainder when 8 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1248)\/2808)\/((-22)\/3267)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -11. Let w(s) be the first derivative of 7*s**2\/2 + 4*s - 1. Let v be w(m). What is v rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/45? (a) -329 (b) 2\/5 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 264561602 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2489.3 plus 64?\nAnswer: 2553.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11624 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500)*2*-4*3)\/(1*((sqrt(432) - (sqrt(432) - (-1*sqrt(432) - sqrt(432)))) + sqrt(432))*5) + -4.\nAnswer: -4 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -3. Let z(b) be the first derivative of -4 + 1 + h*b**3 - 2*b**2 + 6*b**2. What is the second derivative of z(g) wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*q - l, -14 = -5*q + 4*q - 2*l. Suppose 6*v - 8*v = -q. Solve -3*x = -3*b - 21, 0*b + v*x + 16 = -4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6783387728?\nAnswer: 2, 13, 4003, 8147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4) - (-17)\/4. Let t be (k\/(-10))\/((-9)\/30). Factor 0*b**4 + 0*b + 0 - 3*b**5 + t*b**3 + 0*b**2.\nAnswer: -b**3*(3*b - 2)*(3*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 15*r**2 - 20*r - 22. What is the lowest common multiple of 8 and j(7)?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 165 = -5*z - 0*z, -18 = -3*z. Solve 144 = -h - 4*u + g, 4*h - 3*u + 17 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/3 + 0 + (-14)\/(-35). Let n be (-12)\/42 - 30\/(-7). Suppose n*l = -2 + 6. Which is greater: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + r + 0)*(276*r - 276*r - 108*r**2).\nAnswer: -108*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - i + 1. Let c(u) = 0*u - 1870*u**3 - 2*u**2 + 5 + 1862*u**3 - 6*u. Give c(h) - 6*w(h).\nAnswer: -2*h**3 - 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b + 5. Let t(p) be the first derivative of -4*p**3 + 1378. Give c(t(j)).\nAnswer: -24*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83 + 129. Let p be (-4)\/(-6)*(h - 1). Suppose -26*s = -p*s + 136. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 6)*(-t - 1 + 1) - 4 + 4 + t + 52*t - 10*t - 25*t.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 1\/6*f**2 + 1\/6*f**5 + 0 - 1\/6*f**4 - 1\/6*f**3 + 0*f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1632 and 304980.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.74 + 1.74. Which is the nearest to -0.3? (a) d (b) -7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 6*x + 16. Let a be i(-5). Let y be (0\/((-66)\/a))\/(-1 - 0). Solve y = -m + 3*q + 5, -5*m + q = 17 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -717 - -727. Let w be 8\/6*6\/4. What is the highest common factor of b and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -62, -112, -184, -284, -418?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 32.11514 weeks?\nAnswer: 5395.34352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, u: 1, d: 1, h: 2, r: 5}. What is prob of picking 1 h, 1 k, 1 u, and 1 d?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4644*z - 118719. What is m(-26)?\nAnswer: 2025","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 7. Let a be l(5). Suppose 0 = -d - d. Let o be 52 - (0 - d\/a). Calculate the greatest common divisor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 198.45 - 138.44. Which is greater: 2\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f = 4*w + 1044, 3*w + 783 = -f. Let r = w - -368. Suppose -165 = -110*s + r*s. What are the prime factors of s?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 131918 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111100100101111 + -11010010101?\nAnswer: 1111001010011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f + 3. Let l(i) = -5*i - 2. Suppose -64 = -7*v - 43. Calculate v*l(w) + 2*a(w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1282)\/(-65)*15\/(-12). Let y = -49\/2 - s. Which is the second biggest value? (a) -5 (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 529992 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + z + 1222 = 0, 6*z + 1230 = 2*y + 7*z. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.184, 2, 1, 36, 8, -0.2 in decreasing order.\nAnswer: 36, 8, 2, 1, -0.184, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**2 + 8*h - 11. Let f be l(8). Let s = f + 1418\/7. Let w = 2.7 - 0.7. Which is the second smallest value? (a) s (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -5. Suppose -2*v = -4*v + p. Solve -10 = 4*m + 2*t, v*m - 33 + 8 = 5*t for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0 - o - 23*o**2)*(1 - 1 - 6)*(-2*o + 0*o + o)*(-7 + 39 - 7).\nAnswer: -3450*o**3 - 150*o**2 + 300*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 + 183*d + 306. Let g be i(-90). Solve g*b + 20*b + 280 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -21*n - 0*n + 26. Solve -44 = -19*r - n*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**3\/3 + k**2 - 3*k - 1. Let v be 312\/54 + (-2)\/(-9). Let s(c) = -9 - v - 4 + 18. Give -i(j) + 3*s(j).\nAnswer: j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/5)\/g*g**(-1\/6)*(g**0)**29)\/(((g*g\/g**(-5))\/(g**(-6)\/g))\/((((g\/((g\/g**(5\/3))\/g))\/g)\/g)\/(g**6\/g*g))) assuming g is positive.\nAnswer: g**(-199\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k**3 + 14*k**3 + 3*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-3))\/r)\/((r**(2\/45)*r*r)\/r) assuming r is positive.\nAnswer: r**(-182\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -16. Let d(i) = -3*i**2 + 14*i - 18. Let z(j) = -7*j**2 + 28*j - 36. Let q(t) = 5*d(t) - 2*z(t). What are the prime factors of q(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 - -36. Does 30 divide (567\/l)\/((-6)\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/2)\/(s*s*s**(-2\/17))*(s*s*s\/(s**(-18)*s))\/(s*s**(5\/7)\/s) assuming s is positive.\nAnswer: s**(4023\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94088619?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 8050?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 11*x + 46. Give f(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*n - 0*w + 14, -n + 18 = 5*w. Let o(y) = 39*y + 27. Let b(a) = -3*a - 2. What is n*o(z) - 27*b(z)?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 6:28 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174, 187, 190, 177, 142, 79?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 927026840 divided by 46351342.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4486.05561 take away 42?\nAnswer: -4528.05561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -425.268 plus 236.784465?\nAnswer: -188.483535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/116, 2\/881, 1\/3, 992?\nAnswer: 2\/881","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 22, -9, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4395839?\nAnswer: 7, 283, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (9 - 8) + (-2 - -10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**3 + 7*j**2 - 6*j + 22. Let m(b) = -8*b**3 - 27*b**2 + 26*b - 88. Let f(p) = -9*d(p) - 2*m(p). What is the units digit of f(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 3*g + 2*g)*(g - 12 + 12) + 5*g**2 + 8 - 8.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 12*x**2 - 21*x + 9. Give i(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.883046kg to nanograms.\nAnswer: 8883046000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*j - 16, -j + h + 1 = -3. Solve 0 = -y + j*y + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-24))\/((-153)\/(-1224))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 1. Let o(z) = 13*z**2 + 2*z + 12. Let s(w) = -w**2 - w - 1. Let m(x) = -o(x) - 6*s(x). Let i(d) = d**2 + 1. Let j(n) = 6*i(n) + m(n). What is j(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 200*j**3 + 100*j**3 + 98*j**3 in the form h*j + s + m*j**3 + d*j**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1158 + 1626. Calculate the common denominator of ((-279)\/z)\/(3\/8) and 149\/60.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/32)\/(2\/(-4))*0. Suppose y = -6*i - 3*i + 684. Calculate the greatest common divisor of i and 304.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3321166345?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 73861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 8*y**2 - 6*y.\nAnswer: -2*y*(y + 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7925.\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 551185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -31*l**2 - 287*l - 98. What is o(-9)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 3\/1375231 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/3*(4 + 3). Let c be j\/72 + 6\/27. Let v = 0.8 + 2.2. What is the closest to 1 in v, -2\/5, c?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5587, -5844, -6113, -6400, -6711?\nAnswer: -7052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484*z + 55054 = 486*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -72*c - 63. Suppose 67*g = 243 - 310. Give i(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 761\/4*3\/(-147). Let c = 18\/49 - f. Find the common denominator of -6 + 2\/4*1 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.45 times -20?\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*m - 6 = -a, 2*a = 5*m + 10. Solve -2*v + v + 5 = a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 10. Let r be v(10). Solve -r*y = -60*y + 80 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30.959 + -0.041. Let g = 29 + c. Let p = 129 - 1417\/11. Sort p, -2\/5, g, -4 in decreasing order.\nAnswer: p, -2\/5, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2479 is divided by 32?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142*h**4*u - 2*h**4 - 4*h**3*u - 2*h**3 + 37545*h**2*u wrt h.\nAnswer: 3408*h*u - 48*h - 24*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-156)*4*52)\/((-1)\/(-3))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 7)*(3*w**2 - 3*w**2 - 2*w**2) - 1 - 26*w - 10*w**2 + 26*w.\nAnswer: -24*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -146 (b) -3 (c) -1\/5 (d) 5 (e) -0.433 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 87907000 to the nearest one hundred thousand.\nAnswer: 87900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 3)*4\/(-2). Let n = s + 13. What is the remainder when n is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.8783186us in hours?\nAnswer: 0.0000000013550885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**2. Let s(m) = 6*m**2. Let i(t) = 4*r(t) - 3*s(t). Let l(g) = 3*g. Give l(i(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*k + 170 = 0, 0 = 2*n + k - 89 - 7. What is the remainder when 249 is divided by n?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -974 = -j + 5. Suppose 0 = -12*q + 5095 - j. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 - -54. Calculate the smallest common multiple of p + (7 - 6) - -12 and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.71512 plus -0.115?\nAnswer: -0.83012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77.055 + 77. Let n = m + -7.945. Let j = 1\/21 - -17\/84. Put j, -0.1, n in ascending order.\nAnswer: n, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 76\/202421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 103?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 9*m - 6. Suppose 0 = -x + 2*x + 9. Let k be l(x). Let j = k + 10. Solve p = j*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 402\/19 + -19609\/969. Find the common denominator of f and 79\/2.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 9581*d + 368. Is u(31) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -74*f - 417. What is j(-6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1265349 > -1265347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/55*11*(2 + (6 - 2) + -22)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2610, 2729, 2844, 2949, 3038, 3105, 3144, 3149?\nAnswer: 3114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -44, -73, -102, -131, -160?\n\"Answer: -29*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1518170?\nAnswer: 2, 5, 151817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**4 - 1256*p**3 - 25989*p**2 - 66690*p = 0.\nAnswer: -1235, -18, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 1 + (0 - 5 - 1)*(-1 + 0 + 2))*(-1 + 0*m - 2*m + m) to the form c*m + x and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j = -1. Let y be (-276)\/21 - (-6 + (12 - 20)). Put y, j, -1\/2 in descending order.\nAnswer: y, -1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40197 + -6518. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 10:58 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*r**3 - 457*r**3 + 236*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7*2\/(2\/1). Let i = p + 18. Let u(z) = -2*z + 1. What is the remainder when u(-15) is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 2*c + 22, 14*u + 2*c = 9*u + 27. Suppose 2*y + u*p = 41, 4 = -3*y - 5*p + 53. Calculate the lowest common multiple of 18 and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.987 + -10. Let h = -2.713 - s. Let b = h + -2. What is b rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010\/909*(-9)\/(-315)\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 15*x - 28. What is the remainder when 1 + -2 + (0 - -23) is divided by p(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1319 - 1316. Solve -5*h + 0 = 5*k + 35, 4*h = c*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 107 = 3*j - 21, 0 = -j + 5*u + 61. Suppose -69*v + 80*v - 114 = -15. Solve -v*d = j - 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o. Let n(l) = -10*l + 1. Let t be (-20)\/(-100)*(0 - 10). What is t*x(k) + n(k)?\nAnswer: -12*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - n - 36 = -0*n, -n + 28 = -3*f. Let i(b) = -b**3 - 8*b**2 - b - 3. Let c be i(f). Solve -4*j + 1 = c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.66 - 3.66. Which is the second biggest value? (a) 1\/5 (b) -65 (c) m (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 4 - 36. Let g(c) = -c**3 + 5*c**2 - 4*c - 1. Calculate the remainder when r is divided by g(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -109 times 879\nAnswer: -95811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25\/15*(-18)\/(-10). Let h = 38 - z. What is the remainder when 121 is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.45674 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + g + 4*o + 6, -12 = 2*g + 2*o. Let z = 0.3 + 0.1. Put z, 2\/13, g in decreasing order.\nAnswer: z, 2\/13, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (50\/40)\/(2\/(-8)) - (54 + -63). Determine b, given that 0 - 1\/7*b**3 + 12\/7*b**2 - 4\/7*b - 12\/7*b**i + 5\/7*b**5 = 0.\nAnswer: -1, 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9549 + -9549.11. What is the biggest value in -2\/59, m, -1?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/7 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a factor of 788801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(-w**2 + w**2 - w**2)*(1 - 1 + 1)*((1 + 1 - 3)*(2*w + 1 - 1) - 2*w + 3*w - 4*w).\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -247*w + 247*w + 12*w**2. Calculate the remainder when 189 is divided by u(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*1051.\nAnswer: 105.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37634?\nAnswer: 2, 31, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 23*h**2 - 20*h - 357. Give d(-23).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3966189.821843 + -186161.178777. Let z = -4152424 - t. Let p = 73 + z. Round p to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 11*x**2 - 111. Let l(t) = 5*t**2 - 55. Let h(u) = 6*f(u) - 13*l(u). Let w(b) be the first derivative of h(b). Let v(o) = 4*o**2. Give v(w(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 17604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 72 = 4*t, 4*l - 8*t + 4*t = -100. Is (-7)\/(l\/2448) - -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25097, -49784, -74471, -99158?\nAnswer: -123845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**2 + 2*t - 1. Let d(c) = 94*c - 7*c**2 - 160*c + 70*c - 2. Determine -3*d(z) + 5*v(z).\nAnswer: z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 6 - 1 = x, 2*a = -10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -462\/19 - -3083\/76. Calculate the common denominator of j and (-21873)\/1268*(-1 - 106\/(-108)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100 - 6*l + 4*l - 100.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30384 and 90780.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 71156*w**4 + w**5 + 48*w**2 + 4*w**5 - 71171*w**4 - 39*w**3 - 6*w**3 - 180 + 107*w**2 = 0. Calculate w.\nAnswer: -3, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/11 (b) 2489 (c) 1 (d) -16 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**4*z + 10628968*x**2*z - 629*x + 22943*z wrt x.\nAnswer: -12*x**2*z + 21257936*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 71 = -67. Let j(t) = 25*t - 67. Calculate the remainder when k is divided by j(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**4\/6 + 2*x**3\/3 - x**2\/2 + 2*x. Calculate the remainder when 57 is divided by q(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 9 = 47. Let t(l) = -l**2 - 11*l + 44. Let h be t(m). Let y be (3\/h)\/(30\/340). Solve y = 5*i + 3*n, 17 = 2*i + 3*n + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -497*f*j**5 - 3057*f*j**4 - 38*f*j + 208*f + 11*j + 1 wrt j?\nAnswer: -9940*f*j**3 - 36684*f*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 10 (b) 5 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 945572073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.8 + 17.8. What is the nearest to -1 in 0, -3, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (5 - 39*-3). Let f = y + -117. Suppose 0 = -3*c, -4*d - c + 20 = -f*c. Solve d*h = 1 - 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 0.1203?\nAnswer: -0.2406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 1073 + 403 = 0. Let t = -122 - b. Let v = t + 205. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 12 = j - 3*v, 2*j - 10 = -5*v. Suppose -j*a - 155 = -10*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**6\/60 - 3*p**5\/2 - 47*p**4\/6 - 2*p**2 + 31*p + 40. Factor f(q).\nAnswer: 2*q*(q - 47)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - h**2 + h + 1. Suppose 0 = 3*y - 15, -2*f - 3*y = -7*f - 10. Suppose 5*a - 1 + f = 0. Give q(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-45))\/(9\/180)*(-2)\/40*-6?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -80*r + 13 + 592 + 115. Let y be (192\/(-56))\/(2\/(-84)). Calculate the greatest common factor of r and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3675\/50)\/((-1)\/(-2)). Let q = -141 + d. Solve -3*h + 4*h + q = 2*c, 21 = c + 4*h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/130*(648\/(-45))\/6?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3712.5 to the nearest ten.\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.5 - 3.4. Which is the third smallest value? (a) 1 (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/14040 and -53\/6.\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-152)\/84 + (-5)\/(-3)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*w + 44. Let k = 75 - w. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 4. Let k(y) = 5*y - 11. Let s(n) = -11*f(n) + 4*k(n). Let v(g) = g. Give v(s(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/((-6)\/21 + 9\/7). Let d be f + (-1 + 7 - 4). Calculate the common denominator of 58\/7 and (1 + 0)\/(d\/8*-6).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 8*m + 5. What is the hundreds digit of z(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45992828 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*a - 169*a - 171*a + 717*a - 183*a.\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 11. Let f be 35\/11 - (-2)\/(-11). Put f, -2, d in increasing order.\nAnswer: d, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -22*f + 260*f - 31 + 9*f. Does 11 divide o(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - 24. Let w = f + 195\/4. Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + 1 - 1)*(-4 + 2*f**2 + 4) - 2*f**3 + 2*f**3 - 2*f**3 + 2*f**3 + 11 + 3 - 21 in the form p*f**3 + l + i*f + j*f**2 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -428739.575 to the nearest ten thousand.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uumsmmhmtstumm. Give prob of picking 1 s and 2 t.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**2\/9 - 1298*f\/9 + 23120 = 0.\nAnswer: 289, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -344.42363 to one decimal place.\nAnswer: -344.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 18*u + 66 = 0. Let n = u + 14. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = 7*v + 386. Let t = v - -23. Let m(w) = -w**3 - 16*w**2 - 2*w - 18. What is the tens digit of m(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/20 and -83\/16660.\nAnswer: 16660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*2*-4)\/((sqrt(7) + sqrt(28))*5).\nAnswer: -8*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 497*c - 535*c + 17176 = 0. Is 69 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99147708 + 99147708.087998902. Let d = -0.088 + t. Round d to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3239.451408 to the nearest 10.\nAnswer: -3240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -12*d + 20. Let b be n(-6). Let s = -15 + b. What are the prime factors of s?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 5, 4, 595502?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.47149 - -6.0777. Let p = -0.656212 + j. Let v = p + 0.05. What is v rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32116 is divided by 15987?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 397*d**2. Let u(y) = -24*y + 6. Calculate j(u(p)).\nAnswer: 228672*p**2 - 114336*p + 14292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*p, p - 2*p = -2*b. Let z = 22.4 + -23. Put -5, z, b in increasing order.\nAnswer: -5, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.3 * -44685.\nAnswer: -147460.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -p. Let k = p + -8. Let q = -2 - k. Sort -3, 5, q in increasing order.\nAnswer: -3, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18780192 divided by 4.\nAnswer: 4695048","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 0.032, 0.3 in descending order.\nAnswer: 5, 0.3, 0.032, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13.476407 + 997.075293. Let s = -1057.828 + b. Let v = -47.3 - s. What is v rounded to 3 decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0327 - -0.2423. Let k = -0.075 + r. What is the nearest to -1.4 in -5, 0, 3, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*u**3 + 9*u**3 + 14*u**3)*(15*u - 7*u - 4*u).\nAnswer: 204*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 64185679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8346, -8628, -8884, -9114?\nAnswer: -9318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 48 = 2. Is 10 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.84 * -2.\nAnswer: -7.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/17)*f\/(f*(f\/f**(-3\/11))\/f))\/((f\/f**1)\/(f**(-4)\/f)) assuming f is positive.\nAnswer: f**(-964\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - 53. Let j = 0.06 + 3.94. What is the biggest value in j, 0.2, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/72 - 39\/(-120). Which is the second smallest value? (a) n (b) -1\/11 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, i: 1, l: 1, a: 1, x: 2, s: 2}. What is prob of picking 2 x and 1 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305*y - 4 = 300*y - i, -2*i = 4*y + 4. Solve 2*f = -z, -y*f - z = -3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/54 - (-145)\/9. Solve -a + u = 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2760345791 to the nearest integer?\nAnswer: 52539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 116479344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i**2 - i - 1. Let u(q) = -11*q**2 - 2*q - 2. Calculate -3*u(c) + 7*z(c).\nAnswer: -2*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2642.207 rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(95) - sqrt(95))\/sqrt(5)*1*2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 170.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*c + 5*c**3 + 13*c**2 + 48 + 53*c - 51*c - 4*c**3 + 4*c = 0. What is c?\nAnswer: -8, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/4 and 81\/1735732?\nAnswer: 1735732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2082 * 0.084\nAnswer: -174.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 128 - 32 = 0. List the prime factors of (3\/(-4))\/((-2)\/a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 9:16 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 256 + -254. Sort t, 17, -4, 0.\nAnswer: -4, 0, t, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -2\/5, -0.3, 4\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 55, 26, 4 in ascending order.\nAnswer: 2, 4, 26, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1893907 divided by -5?\nAnswer: 1893907\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-4) + (-14)\/8. Let f = -1142 - -1145. Is 4 a factor of (f - (4 + 1))*i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -49 + 9\/4*h**4 + h**2 + 44*h + 0*h**3. What is the first derivative of z(o) wrt o?\nAnswer: 27*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnl when three letters picked without replacement from {l: 1, f: 1, e: 1, n: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - 2. What is g rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 s when three letters picked without replacement from swwjps?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -129613*c**2 - 25*c + 214.\nAnswer: -259226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 17 (b) -343 (c) 1637\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*k, 0*s + s = 2*k. Suppose -307 = -3*l - 5*w + 492, -3*l - 3*w + 795 = k. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/10)\/(y\/(y\/y**(-29))))\/(y**(3\/23)\/(y**(-25)*y*y)) assuming y is positive.\nAnswer: y**(1327\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-229958)\/(-11127)*1\/62*(-7)\/2?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/1 + -2 - -2. Suppose 3*x = -2*n, 5*n = -3 - 12. Solve -4*l + 4 = 2*o, 5*o + 2*l = -x*l - z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**6\/360 + u**5\/60 - u**4\/8 + 9*u**3\/2 - 31*u. Let o(x) be the second derivative of l(x). Determine o(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 628512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 5. Suppose 4*b - 40 = -4*y, -k*b + 33 = -3*y + 7. Suppose 2*d = 20 + b. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 180 - 6. Let b = x - 82. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5238 - 0.0525.\nAnswer: -5238.0525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(891)*-4 - sqrt(891)) + -5 + sqrt(44)\/(sqrt(16)\/sqrt(4)) + 3 + 5.\nAnswer: 3 + 64*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29095 and 416515.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (382*z + 234*z - 228*z)*(-3*z**2 - 2*z**2 + 3*z**2).\nAnswer: -776*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 + 231*l**2 + 342 + 5*l**3 - 232*l**2 + 2*l to the form a + b*l**2 + d*l + w*l**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/9*634\/(-2219)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 2*d - 4. Let s be x(3). Let f be (1\/(-7))\/((-10)\/(-20)). What is the nearest to -1\/4 in f, 3, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*(sqrt(720) - sqrt(720)*1) + sqrt(720)*-1*5)\/((sqrt(196) + (2*sqrt(196) - sqrt(196))*4 + sqrt(196))*3).\nAnswer: -10*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69597 and 4541.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 21. Let s = -24 + 9. Let n = v + s. Sort n, -5\/4, -0.1 in descending order.\nAnswer: -0.1, -5\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32098\/55 + 2\/5. Suppose -c + 4*u - p = -3*c, -3*c + 861 = u. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43416528 divided by 8?\nAnswer: -5427066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 5629937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7849 greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**4\/4 - 5*f**3\/3 - f**2\/2 + 4*f + 4430. Let m(o) = o**2 - 4*o + 5. Let g be m(4). Calculate i(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 14 = -3*g, -2*k - 5*g = -98. Suppose 13*w = 14*w - k. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 61071526 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/507 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.5 (c) -0.5 (d) 0.186534\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in -4, 0.07, -3, -2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 6*b = -154. Let x = 30 - b. Suppose 0 = -47*y + 36*y + 132. Calculate the highest common divisor of y and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -9218*q + 145. Let v(f) = -f - 1. Let i(k) = g(k) - 4*v(k). Is i(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 76\/18 + 1*4\/(-18). Suppose 30*o = -16*o - 46. What is the second biggest value in o, k, 239?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 847 - 847. Suppose -4 - 8 = -3*t. Suppose -2*n - 3*i - 5 = y, -3*n - t*i = i + 9. Solve -n*r = 2*k - 6*k - 22, -2*r + 1 = 3*k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 3. Let m = i - 1. Let v = 154.4 + -154. Which is the third smallest value? (a) v (b) m (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408*k - 8 = -410*k - 2*o, 4*o - 20 = -16 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 107435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 5*i**2 + 3*i + 6. What is f(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21998 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 178 - 59. Suppose -5*t + u = -2*t + r, 5*t - 195 = -r. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23005421 (base 6) to base 13\nAnswer: -1b7150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -567 - -5105\/9. Let y = -3 + 3.03. Let w = 0.03 - y. What is the nearest to w in a, -0.4, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0\/k)**(-9\/10)\/((k\/(k*k*(k\/k**(1\/4))\/k*k*k*k))\/k*k\/k**(-2\/5)) assuming k is positive.\nAnswer: k**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 8*g**2 - 57*g - 6. Let k(d) = 21*d**2 - 151*d - 18. Let u(s) = -8*c(s) + 3*k(s). Let q = -1 + -2. Let f(n) = -n**2 + 2*n - 5. Give q*f(t) + 2*u(t).\nAnswer: t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*a**2 + 31*a**2 - 986*a + 986*a as n + f*a + j*a**2 and give j.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 2788045488.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*f + 4 = 0, o - 41 = -o - 5*f. Suppose -o - 7 = -3*h. Sort h, -4, 2 in decreasing order.\nAnswer: h, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 11\/(1 - 2). Let k(l) = l**3 + 9*l**2 - 13*l - 2. Let i be k(-10). Calculate the greatest common divisor of t and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469*n = 458*n + 22 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**5\/20 - v**4\/6 - v**2\/2 - 2*v + 2. Let q(c) be the first derivative of w(c). What is the units digit of q(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*x = 0. Let y = -18 + 23. Which is the nearest to x? (a) 3 (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5418500 - s**2 - 5418500 + 5*s.\nAnswer: -s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14324.84 rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 d, and 1 c when three letters picked without replacement from mmddmdtmmmatdtcmtmm?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11045 and 11750?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 27 = 2967. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165 (base 13) to base 5.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 4 + (-3 + 1 + 3)*(-3 + 6 - 2))*(-43*p**2 + 42*p**2 + 127*p**2) in the form k*p**2 + a + g*p and give k.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -33*d - 1. Let w(v) = -v**3 + 16*v**2 - 2. Let s be w(16). Let u be i(s). Let t = 120 - u. Is t a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-4) + (-22)\/8. Let m = 2 + z. Let y be 2 + m - (-7 + 1). Solve 0 = 4*q - y - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d + 51. Determine w(-15).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2353 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**4*m)**(2\/35)\/(m\/((m\/(m\/m**(-4\/11)))\/m))**(7\/9))**(-21) assuming m is positive.\nAnswer: m**(5182\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32594 and 1462.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4579271124?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-35)*(-20)\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**4 + 92*y**3 + 24032*y**2 - 92*y - 24030 = 0.\nAnswer: -89, -1, 1, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w - 121749 + 961659 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 120 = -3*x, 0 = -37*x + 39*x - 3*b - 76. Solve -5*t = -c + x - 17, -2*c = 5*t + 30 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 3 = -23 - 113 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**5\/60 - 3*c**4\/8 - 11*c**3\/2 + 18*c**2. Let o be d(12). Solve 2*a - o = 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 4) to base 15\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226469375 divided by -5055?\nAnswer: -242625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-2)\/20)\/((-14)\/(-28)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 179961 and 111366.\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50? (a) 0.5 (b) 154 (c) -384.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*t**2*v**2 + 2*t**2*v + 360*t**2 + v**2 wrt v?\nAnswer: -14*t**2*v + 2*t**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m + 11. Let w(t) = -8*t + 32. Let b(u) = -7*i(u) + 2*w(u). Let s be b(9). What is the greatest common factor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)*-1 + -4)*-2*6 + 5)**2*2*5.\nAnswer: 50880*sqrt(7) + 189370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3909216281\/9 - 431859910. Let g = p + -2500431. Let f = 2968 + g. What is the common denominator of f and 55\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-21)\/(-60) + 4\/10)*-36. Sort m, 3, 1 in decreasing order.\nAnswer: 3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 w when three letters picked without replacement from vuvvdvuwwwwdv?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1346*g**2 - 467*g**2 - 23 + 23 - 1060*g**2.\nAnswer: -2873*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*s**3 - 291*s**2 - 51*s + 30 = 0.\nAnswer: -2\/5, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 4*i**2 - 3*i + 2. Let a be w(-2). Solve 5*b - 2 + 27 = a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/(-14)*(-26)\/(-3). Suppose -2*w = -h - q, -w + 3*h = -5*w + 1. Suppose -j = -6*j + 30. Solve 2 = -w*a - j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3458 = -2*u - 538, -2*j = u - 1945. Suppose 4*c = 2*c + j. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a6 - 1?\nAnswer: -3a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-8)*2 - 3. Suppose -5*v + 55 = 3*o, 5*v + 2*o + a*o = 55. Suppose -2*l + 3 + v = 0. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*z + 602 - 616 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-3)\/(-66))\/(1\/(-12)) and ((-20)\/(-33))\/((-108)\/810).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*j**4 - 570*j + 2*j**2 - 118*j**4 - 398*j + 6*j**3 + 18*j + 56*j**4 as q*j + z*j**3 + l*j**2 + w + t*j**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxxliogixoag. Give prob of picking 1 l, 1 i, and 2 x.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 8:52 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f**(5\/4)*f*f)\/f*f**(2\/7))\/(f**(-3)*f*f**0))\/((f\/f**(1\/4))**(-1\/42)\/(((f\/f**(-4\/5))\/f*f)\/f**2)) assuming f is positive.\nAnswer: f**(1499\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 24*p = -1323. Calculate the remainder when 227 is divided by p.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*x = -251*x - 1336 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(b - b - b) + 5078*b - 2043*b + 2435*b - 2 + 2 - b + 2 - b - 1 - 1.\nAnswer: 5467*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 10 = 2*d. Let b(w) = 2*w + 5*w**2 - 3 + w**2 + 0*w**d - 3*w**2. Let u be b(-2). Solve 2*z - 19 = -u*r, 7*r + z - 17 = 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -6. Suppose 6 = 2*i, 6*i - 23 = -b*y + i. Solve -8 - 4 = -y*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 38*v + 349. Let i be a(-45). Solve -16 = 4*b - 5*c, -5*b + 2*c - i = -14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1889580 to the nearest integer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422966 is divided by 1177?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**3\/7 - 14*k = 0.\nAnswer: -7, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7821 not equal to -1263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -3*f - 2*d + 61, -2*d - 72 = -4*f. Suppose 3*y - 64 = f. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 3\/8*v**4 - 1\/60*v**5 + 7\/3*v**3 - 31*v**2 + 0*v + 0. Let j(q) be the first derivative of d(q). Calculate j(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1368318 and 60.\nAnswer: 13683180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -406 - -408. Let s = 55 - 377\/7. Which is the biggest value? (a) s (b) -2 (c) x (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**3 - 556*j + 1111*j - 10 - 558*j in the form z + q*j**3 + p*j**2 + y*j and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 1716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(45)*-4 - (sqrt(5) - (sqrt(60)*1)\/sqrt(12)) - sqrt(25)\/(sqrt(800)\/sqrt(10))*2) + -3)**2.\nAnswer: 75*sqrt(5) + 3177\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -369, -1064, -2101?\nAnswer: -3480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34493747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 284151.9 kilograms to grams.\nAnswer: 284151900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -9*m + 80. Suppose -m*c + 1314 = y + y, -4*y = c - 332. What is the highest common divisor of 41 and c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000098328 to 7 decimal places.\nAnswer: -0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 9*u + 22 = 2*g, -5*u = -20 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 12 = 0, -12*u - 18 = -14*u + 4*j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - sqrt(40))\/sqrt(2) + (2 + -1 + sqrt(5) + sqrt(5))**2 + sqrt(35)\/(sqrt(77)\/sqrt(44)).\nAnswer: 5*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 12:26 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b77 - 127b94?\nAnswer: -128b4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-241614)\/(-63) - 1\/7. Suppose b + h - 767 = 0, -7*b + t = -2*b - 3*h. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k + 21*k + 3*f = -13, -2 = 3*k - 4*f. Let h be ((-6)\/(-63))\/(k\/14). Let t = -83 - -499\/6. What is the second biggest value in t, h, 41?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 118\/7, -2\/15, -1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = 78*b - 96*b. Solve -4 = -b*u + 8*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -23*s**2\/3 - 401*s\/3 - 170\/3 = 0.\nAnswer: -17, -10\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -4 + 1 - 3. Let o be (-15)\/((-39)\/(-13))*4\/10. Is o at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/6)\/((-24)\/(-36))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*q**2 + 73*q**2 + 2*q - 7*q + 3*q as r*q + h + y*q**2 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -5*r**4\/12 - 5*r**3\/3 + 10*r**2. Does 5 divide z(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*n - 768*n = 15742 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/12*(-48)\/(-4). Let h be (j - -5 - (-27)\/(-30))*-2. What is the third biggest value in -2, 3, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/16268 and 155\/1764?\nAnswer: 146412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 5250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 3:11 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 12:07 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2710 - 5012 = -9*i. Is i a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - ((24 + -8 - 25) + -1 + 21).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 2 = 2*u + 4*q, u + 5*q + 20 = 0. What is the closest to -0.1 in 0.3, u, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -18. Suppose -4*n + t + 37 = p, 34 = 4*n + t. Let v = n + 19. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2137669955?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + w**3 + 34 - 20*w**3 + 4*w - 12*w**3 - 3*w as f*w + n*w**2 + k + j*w**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4670?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 11*l. Let f(s) = -189974*s**2. What is f(a(m))?\nAnswer: -22986854*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**3 - b - 2. Let x(a) = -5*a**3 - a - 4. Suppose -5*t = -5*f + 10, 4*t = 5*f - 5 - 1. Determine t*x(r) + 7*u(r).\nAnswer: -r**3 - 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x**2 + 3*x**2 + 2*x**2)*(0*x - 2*x + x) + 7*x**3 + 18 - 18 to g*x + b*x**3 + a + s*x**2 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -32442*h + 152. Let f(z) = -10821*z + 52. Let x(b) = -5*a(b) + 14*f(b). What is the first derivative of x(j) wrt j?\nAnswer: 10716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14428 + -14417. Solve -r*m = 3*m + 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y + 4. Let p be (-50)\/15*(-18)\/(-15). Calculate the least common multiple of 8 and z(p).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-24))\/(-46*43\/(-7912))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -1\/10, 160?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 355.1 - 16.1. Let n = t + -339.4. Which is the biggest value? (a) n (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*6\/24)\/((-1)\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeecaecccccaea. What is prob of picking 1 c and 3 a?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7.2 or -186?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ssxppxsxqixpxss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*(sqrt(833)*-1*-5 + -2 + sqrt(833) + -3)*-1)**2.\nAnswer: -3780*sqrt(17) + 270117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 5:59 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 148 + 45 + 103.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h - 5. Let m be r(5). Suppose 0 = -m*p + 5*p. Let w(j) = p + 10*j**2 + 0 - 7*j**2. Let n(b) = b. What is n(w(k))?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/((-34)\/10 - -4). Suppose m*r - 6*p = -2*p + 162, 4*r + 4*p = 144. Suppose -r - 26 = -q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 336, -5\/8, -1\/2, -0.2, -0.3 in decreasing order.\nAnswer: 336, -0.2, -0.3, -1\/2, -5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 97682.31 hours in microseconds?\nAnswer: 351656316000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 174 + -169. What is the remainder when (-3 + b\/2)*4 + 63 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, n: 2}. Give prob of picking 2 n and 1 y.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*(((a*a**2)\/a)\/a)\/a*a)**(-1\/37))**(-4\/5)\/(((a*a**(1\/4)*a*a)\/a)**(-3\/14))**36 assuming a is positive.\nAnswer: a**(45179\/2590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3614614 (base 7) in base 3?\nAnswer: -212021002001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.12474 + -11.82474. What is the fourth smallest value in -5, 4, -0.3, -0.4, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5200 and 240760?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqq when three letters picked without replacement from qjjjqjqjjjqqjjjqqjj?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1382 and 198317.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 4, 2942, 53 in ascending order.\nAnswer: 4, 21, 53, 2942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1143033 - 22752 = 7220*p + 3091*p - 86106 for p.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -z - 40. Let h be z\/10*30\/12. Solve 2\/7*j**h + 2\/7*j - 4\/7 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4640164913?\nAnswer: 4640164913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-352)\/40)\/((-4)\/150). Suppose -7*t - 120 = -11*t. Calculate the greatest common divisor of t and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 7 = d. Let g(f) = -f**3 - 16*f**2 + f - 27. Let n be g(d). Let u = n + -173. Calculate the highest common divisor of 48 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01808 rounded to three dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k + 3. Let n be j(-2). Let v be 6 + (1 + n)\/4. Suppose v*p - 2*p - 14 = 0. Solve 4 + 1 = z + 4*i, 4*i + p = -5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11389?\nAnswer: 7, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-513.73\nAnswer: -51.373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -215.8 times 0.01\nAnswer: -2.158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 18. Which is smaller: s or -2\/87?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from {l: 1, e: 1, n: 1, u: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 2 + 1 - -2. Suppose 0 = -i*f + f + 336. Is 43 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2 + 9 - v - 2 + 6. Let w be a(-5). Find the common denominator of 111\/10 and 4\/w - (5 - -1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58617 and 4489641?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2320226744 to the power of 1\/3, to the nearest integer?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -15759*z**2 + 31482*z + 20. What is m(2)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -35 + -d8?\nAnswer: -10d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*f + 8*f - 2 - 16*f)*(3*f - 2*f + f) + (-f + 4*f - 5*f)*(144*f - 75*f + 168*f) in the form y + q*f**2 + o*f and give q.\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 453689 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1293*o**3 - 13*o**2 - 2548*o**3 - 15*o**2 - 37*o**2 + 1253*o**3.\nAnswer: -2*o**3 - 65*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 43245*b**3 - 234825*b**2 + 95000*b - 10000 = 0.\nAnswer: 20\/93, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 12 = 4*t. Solve -t*d = -5*d + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 2. Let o(n) = n**2 - 1. Let m be o(-2). Calculate j(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1248342011 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - -20. Let i = 9 + d. Let m = 12 + i. Which is the nearest to 0? (a) -4 (b) m (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*sqrt(4000))\/(sqrt(72)\/((sqrt(441) - -3*sqrt(441)) + sqrt(441))).\nAnswer: -6300*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -249*c + 104*c + 115*c. Let t(o) = 3*o**2. Calculate t(f(r)).\nAnswer: 2700*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3*x - 2*x)*(-4 + 8 - 7)*(2*x**3 - 2*x**4 - 2*x**3) - 2*x**5 - 4 + 4.\nAnswer: -14*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80660244 and 6384.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 3*v = -14. Suppose -i + 10 = -v*y, 4*y + 23 = 5*i + 3*y. Solve i*d = d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 6:08 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28157 is divided by 440.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.011 + -2.15. Let a = -35.9 + 34.991. Let u = a - i. Round u to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*((-1*sqrt(931) + 5 - ((2*sqrt(931))**2 + sqrt(931) + 4)) + -1*4*(1 + sqrt(931))).\nAnswer: -11181 - 126*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(304) - (sqrt(304) - 3*sqrt(304))) - sqrt(304) - (-1 + sqrt(304) + sqrt(304)*-2))**2.\nAnswer: -72*sqrt(19) + 2745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*d**3*o**2 + 9788*d**3*o - 8*d*o**3 - 2*d*o - 27440*o**3 - 70*o wrt o?\nAnswer: 20*d**3 - 48*d*o - 164640*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14.55755 from -21516516.\nAnswer: -21516530.55755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t - 5. Suppose 0*s + s + 17 = 4*y, -2*y - t = -5*s. Which is smaller: s or 15\/7?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -18. Let b = 0 - k. Calculate the remainder when 46 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of n**3 - 129*n**2 + 900 wrt n.\nAnswer: 3*n**2 - 258*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 55 - 41 = 0. Let p(j) = 91*j + 100. Let b(n) = -89*n - 98. Let f(l) = q*b(l) + 6*p(l). What is the derivative of f(c) wrt c?\nAnswer: -77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phpp when four letters picked without replacement from {f: 1, p: 3, h: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154, 253, 434, 697, 1042, 1469?\nAnswer: 1978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h + 4. Calculate w(-18).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*u + 99, -3*u = -5*d + 9*d + 55. Sort u, 4, -9 in increasing order.\nAnswer: u, -9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.29 + -0.068. What is q rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, -155, -439, -831?\nAnswer: -1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43716463.\nAnswer: 7, 59, 151, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*w - 978 = 15*w - 4464 for w.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = o - 39, 12 = 3*q - 3*o + 3. Let h(z) = z**3 - 8*z**2 + 6*z + 15. Let r be h(q). Calculate the highest common factor of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97 + 137. Suppose -2*r = -110 + q. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -46, -82, -42, 152, 578, 1314, 2438, 4028?\n\"Answer: 13*m**3 - 40*m**2 - 7*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4809\/460 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73 - -77. Put 2\/11, 5, -2, t in decreasing order.\nAnswer: 5, t, 2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 243 and 50 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119383 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 151768*m.\nAnswer: 4*m*(m - 37942)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11038 - 2*j - 11*j - 11039.\nAnswer: -13*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 13*b + 20. Let y be s(-8). What are the prime factors of 1159\/5 - 48\/y?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -5*y - 7*y. Suppose 5*d + 5*q + 5 = y, 0 = -d - 5*q - 69 + 84. Let c be (2\/8)\/(6\/(-16)). Sort 10, d, 2, c.\nAnswer: d, c, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -277*h + 1. Let u(a) = -13*a + 9. Let o(l) = -4*l + 3. Let z(s) = 12*o(s) - 4*u(s). Give m(z(y)).\nAnswer: -1108*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10884622771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1057 is divided by 62?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203597 is divided by 101780.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 5*k**3\/6 + 7*k**2\/2 - k. Let j(w) = -1. Suppose -432*h - 3*c = -433*h - 26, c - 7 = 0. Give h*j(v) - o(v).\nAnswer: -5*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/45 - (256\/(-3))\/4. What is the third derivative of 2*f + 24 + 8*f**3 - 2*f - m + 7*f**2 wrt f?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1118719*d**4 - 546179 with respect to d.\nAnswer: 4474876*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4767 * -2\nAnswer: -9534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 5*y**2 - 3. Let j be g(4). Let z = -1 + j. Suppose z - 2 = 5*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 12 = -3*d - m, 3*m - 19 = -5*d. Suppose -d*b - b = -15. Let p(v) = -2*v - 11. What is the remainder when p(-10) is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.309 - 0.009. Sort -6, z, -3 in descending order.\nAnswer: z, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 10:53 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 261751471?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125163 is divided by 567.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/11)\/r)\/(r\/(r\/((r*r**(-4\/9))\/r))))\/(r**(6\/5)*r)**(-1\/35) assuming r is positive.\nAnswer: r**(-6961\/17325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23991, -191866, -647525, -1534860, -2997763, -5180126, -8225841?\nAnswer: -12278800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 992481714 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 15*t**2 + 35*t - 15. Let m be r(17). Solve -m*q + 4 = -4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 184342 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4256428, -4256426, -4256424, -4256422?\n\"Answer: 2*c - 4256430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 0 + 0*l**5 - 1\/24*l**4 + 21*l**2 + 0*l**3 + 0*l + 1\/15*l**6. Find the second derivative of z(f) wrt f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.044884 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.7 - 9.7. Let o = -19 - -17.4. Which is the second smallest value? (a) 1 (b) z (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/1707120 and -119\/30.\nAnswer: 1707120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 125868, 251729, 377590, 503451?\n\"Answer: 125861*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20707 - 13850. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(((-8)\/(-10))\/(-4)). Let f(k) = k + 7. Let c be f(u). Suppose -235 = -7*y + c*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1253090454?\nAnswer: 2, 3, 7, 11, 2712317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3110*p**2 - 385*p - 3103*p**2 + 6215*p**2.\nAnswer: 2*p**2 - 385*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 512*q + 14331. Determine u(-29).\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 27 + 3 = 4*k, 44*g - k - 954 = -776 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/404 and -127\/5278.\nAnswer: 1066156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 1001?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 901983288 to the nearest integer?\nAnswer: 30033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 1580*n**2 + 53*n + 5. Is f(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 3\/2, -1, -1656, -2\/35 in increasing order.\nAnswer: -1656, -21, -1, -2\/35, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 106\/6 + -102 + 84. Sort -35, -4, -1\/7, 0.5, x in descending order.\nAnswer: 0.5, -1\/7, x, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 35413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*v - 11*v + 22*v - 14 + (-2 + 3 + 16)*(-v + 0*v + 2*v).\nAnswer: 16*v - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovvvovvvov. Give prob of picking 1 o and 3 v.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-1 - -2)*1). Calculate the common denominator of 257\/6 + d + 2\/3 and (1 - 34\/12)\/(98\/42).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*t - 225. Suppose -4*s + t = -179. Calculate the highest common factor of s and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*f + f. Let t(r) = -r + 11. Let q be t(5). Suppose -6*h + q = -f. What is the greatest common factor of 6 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g**2 - 328*g + 4386. Determine r(24).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21036 is divided by 179.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 68681139 a multiple of 867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jicj when four letters picked without replacement from {c: 5, i: 3, j: 4, k: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*t - 184, 2*t = -t + n - 116. Let f = t - -40. What is the derivative of 5 + f - 9*c + 7 wrt c?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-183268)\/16)\/(5\/(-20)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 2\/7, -4, -19\/9, 0.2, 13, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1304*h - 112159. Calculate w(86).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*r - 90. Let f = 49 + r. What is the highest common divisor of 64 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(18))**2*-2 + -4 + 3*sqrt(2)*2.\nAnswer: -904 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**5 + 15*b**4\/2 + 5*b**3\/3 - 60*b**2 + 80*b + 62. Factor q(s).\nAnswer: 5*(s - 1)**2*(s + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34\/65 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2130 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 179570\/23 = 7806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5713356*w**2 + 69*w + 5713356*w**2 - 4*w**3.\nAnswer: -4*w**3 + 69*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5 = 3*p, -4*p = -n + 2*n - 1. Let w = 0.881 + -3.881. What is the biggest value in w, p, -2, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3206, 3, 1, 25.\nAnswer: 0, 1, 3, 25, 3206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -773652*x + 773651*x + k - 2, 0 = 3*x - 4*k + 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7290 + -7290. Solve 2*u + 3*u + 4*f + 25 = c, -2*f - 14 = 4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 3:25 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69996 and 228?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o\/(o*o**(-1\/3)))*o)\/o)*o*o*(o*o*o**(-3\/5)\/o*o)\/o)\/((o\/o**(-2))\/o*o)**(-46) assuming o is positive.\nAnswer: o**(2111\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-505)\/100 - -5)\/((-2)\/15). Which is the closest to d? (a) 3 (b) -3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*1.727.\nAnswer: -8.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -595 - -601. Suppose -g*q + 1828 = -4778. List the prime factors of q.\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -571170, -1142349, -1713528, -2284707?\nAnswer: -2855886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 74 - 54 = 0. Let i(k) = -k**2 + 6*k - 6. Let h be i(4). Let c be 0\/(x - ((-16)\/(-2))\/h). Solve -n + w = -c*n, 3 = -w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of v**2 + 0*v + 28 + 1\/3*v**3. Calculate q(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 22*d - 149. Let t be f(7). Solve -5*c - g - 11 = 17, t*c + 5*g = -40 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -15. Suppose -3*x = 5*u - 1 + 12, u = 4*x + s. Let d be -1 + 3*14\/18. Which is the third biggest value? (a) u (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*w**3 - 37*w**3 + 20*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3250, 6468, 9686, 12904?\n\"Answer: 3218*o + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.3 - -7.2. Which is the biggest value? (a) 0.6 (b) 0.2 (c) 1\/2 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87 divided by -19635\nAnswer: -29\/6545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73 - -73. Suppose n*b + 2*l = 4*b - 38, 3*b = -l + 41. Does 16 divide (b\/(-8))\/(1\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 11*r = 60. Suppose -r = 5*v, -x + 0*x = -5*v - 44. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38839\/42 - 2795\/3. Suppose 0 = 2*v - 2*u - 10950, 0*v - u + 27405 = 5*v. Let d = v - 54723\/10. Find the common denominator of d and k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -1, -2\/31, 0.08?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 4*p**2 + 10. Let g be s(-4). Let w = 148 + -86. Let m = w + g. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 183\/244 + 19\/(-4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 0*r**2 + 8*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-8) + (-15)\/(-4). What is the first derivative of -4*h + 3*h - p + h + h**3 wrt h?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 0)*((-12)\/(-27))\/(23 + 3906\/(-162)).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 33, 59, 93, 135, 185, 243?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17159199 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 + 3 + 0 + 26. Suppose -4*z - m - 145 = 0. What is the common denominator of (-2)\/7 - 9\/z and -113\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (7 + -12 + 13 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/4 - 183*q**2\/2 + 2352*q - 17280.\nAnswer: 3*(q - 90)*(q - 16)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 88, 126, 170, 226, 300?\nAnswer: 398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67415357*t**2 - 2032204*t - 10.\nAnswer: 134830714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112591827?\nAnswer: 3, 79, 158357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 1 - 5*28\/(-70) - 2. Let u = 4.3 - 4. Let d = 0.7 + u. What is the third biggest value in -5, d, 0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1064636 or -1064635?\nAnswer: -1064636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -465912 times -98\nAnswer: 45659376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + m - 20. Suppose q = l - q + 3, 3*l - 5*q + m = 0. Suppose 3*k = 12, 2*a - 47 = -l*k + 71. What is the highest common divisor of a and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*-4*8\/512*(-2)\/(-3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 50906 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -23*d**8\/336 - 7*d**6\/60 + 7*d**5\/60 + 13*d**4\/6 + 142*d**2 + d. What is the third derivative of g(x) wrt x?\nAnswer: -1380*x**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -3*m**5\/140 + 9*m**4\/28 - 12*m**3\/7 + 24*m**2\/7 + 21*m. Let u(t) = 0. Calculate t.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1274 divided by 4.\nAnswer: 637\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/7 - 54*n**2\/7 + 100*n\/7 - 48\/7.\nAnswer: 2*(n - 4)*(n - 1)**2*(n + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448)*1*1 + (1*(sqrt(17) + -2 - sqrt(17)) - (2 + sqrt(17) + 0 - sqrt(17)))**2.\nAnswer: 16 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -19\/6*j**3 + 0 + 0*j**2 - 2\/3*j**4 - 18*j. Find the second derivative of m(q) wrt q.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3610 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1609*v - 37 = -1607*v + 5*i - 3, -i + 7 = 5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j + 45. Let g be x(-18). Let n = g - 130. Solve 4*z - n*z = 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -15 - -25 - (-13 - -29). Sort -36, r, 5.\nAnswer: -36, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 93 - 212 + 3442*k + 119 in the form f + g*k and give g.\nAnswer: 3442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 722164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -242, -2, 9383, 2 in decreasing order.\nAnswer: 9383, 2, -2, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m + 17. Let g be f(10). Let q = -10603\/3 - -3548. Which is the smallest value? (a) q (b) 3 (c) g (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a1c6 (base 14) to base 8.\nAnswer: -427322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*j = 335*j - 555*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 0*t + 0*t**3 + 0*t**4 - 8*t**2 + 0 - 1\/20*t**5 + 1\/40*t**6. Factor x(j).\nAnswer: 3*j**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2877649 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 659654400 and 768?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14\/37 + 657\/74. What is the common denominator of -82\/15 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6 - -10) + 3\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 2*n**2 - 54*n - 11. What is the remainder when k(7) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 1487\nAnswer: 2\/1487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -103*j + 2. Let d(y) = -102*y + 3. Let k(z) = 2*b(z) - 3*d(z). Let h(r) = -r**2 - r + 3. Let t be h(0). Is k(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*161235.\nAnswer: -16123.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2057))*5)**2 + 1 + sqrt(2057) + 5.\nAnswer: 11*sqrt(17) + 51431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -759 + 1504 + 23*a - 745.\nAnswer: 23*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -359, 1.9, -13\/16, 2\/9?\nAnswer: -13\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 164, 7, -4 in decreasing order.\nAnswer: 164, 7, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, y: 5, o: 2}. What is prob of picking 2 y and 1 o?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - w - 5 = 4, -w = -2*b + 5. Find the common denominator of (-1435)\/(-84) - 1\/b and 41\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/18524278 and -9\/31198784?\nAnswer: 592776896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 - 16*b - 3. Let t be g(-8). Let m = -18 - -13. Let a(o) = -o**2 + 3*o + 21. Let s be a(6). Put s, m, t in descending order.\nAnswer: s, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 34 = -9*y + 11*z, -4*y + 18 = 2*z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 6. Let d be y(-8). Let r be -2*(3\/d + -1). Let o(u) = u - 1. Let t(a) = -a**3 - 4*a**2 - 6*a - 2. Let l(h) = r*o(h) - t(h). Calculate l(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 5*b - 9*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 divided by 105061?\nAnswer: -47\/105061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -73702 or -73705?\nAnswer: -73702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 12:28 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k - 3*k + 19*k**2 - 5*k + 2 - 21*k**2. Determine h(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 8\/8137?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5225803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -8.7. Let u = f - -7.65. Let g = u - 0.35. What is the biggest value in g, -5, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 + 32 + 17 - 2?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - (-6 + 6))*(-2)\/(-2). Let d be ((-25000)\/(-6))\/(w*10\/363360). What is d rounded to the nearest 1000000?\nAnswer: 76000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, -128\/11, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghgqgghnnngho. What is prob of sequence nnh?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 12*i - 169. Let l be r(13). Which is the closest to l? (a) 0 (b) 15 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-18 + 10)) + -2 + -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 2*l + 3. Let q be t(3). Let p be q\/(-10) + 245015\/25. Suppose -2*f - p = -4*f. What is f rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 - 72*h + 566. Determine r(24).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 402376 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-9)*162\/(-36).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cscsgjjjcjzj. Give prob of picking 1 z, 1 c, and 1 g.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -201201694*b**4 - 342*b**2 + 1729*b - 59 wrt b.\nAnswer: -4828840656*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2397, 4344, 6291, 8238?\n\"Answer: 1947*i + 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 p, and 1 e when three letters picked without replacement from opooeww?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: In base 15, what is -151b7 + 4?\nAnswer: -151b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -21, -4\/11, 5\/4, 29, 1\/4, -0.5, 1?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znzznzzzzzn. Give prob of sequence nzz.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55790425?\nAnswer: 5, 2231617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, 4, 35, 2, -6, 10 in ascending order.\nAnswer: -6, 1, 2, 4, 6, 10, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 24 + 28 + -56 + 20 + 3\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - z - 1. Let w(y) = 488*y**2 - 13*y + 5. Let u(t) = -6*s(t) + w(t). Is u(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 9*l**2 + 8*l. Let n be q(-8). Suppose -5*h + 2 = u + 7, n = -3*u - 5*h + 5. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 58414890.\nAnswer: -1\/29207445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.027 + 2.327. Let n = 2.6 - r. What is the smallest value in -5, -0.1, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 0)*(4*y**2 + 2*y**2 - y**2) + (-3*y - 3*y**2 + 3*y)*(-2 + 1 + 0) to o*y + z*y**2 + b and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/4 less than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)\/(sqrt(63)\/sqrt(9)) + (-3*sqrt(385) + sqrt(385))\/sqrt(11))\/((sqrt(245)\/sqrt(112))\/(sqrt(20)*-3)).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 7*h - 8, -8 = 12*u + 4*h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xsrrrwz. What is prob of sequence xs?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 400 and 5200?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -73\/9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 86214\/48 + 3\/(-24). Suppose -5*h = m - c, 5*h = -2*m + 401 + 3196. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -161145, -161034, -160923, -160812?\n\"Answer: 111*d - 161256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - -64. Suppose a + 59 = y, -y + 0*y - 5*a = -r. What is the units digit of (2\/(-4))\/((-2)\/y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3674, 3675, 3676?\n\"Answer: s + 3673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64\/3633 or 1?\nAnswer: 64\/3633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 29*h - 6. Suppose 3*j + 42 = 3*c, -47*c + 61*c - 176 = 4*j. Let b(l) = -72*l + 15. What is c*t(u) + 5*b(u)?\nAnswer: -12*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 277166 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38137950600 rounded to the nearest one million?\nAnswer: 38138000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 11*b + 33 + 199, -50 = -n + b. Calculate the remainder when n is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3792*o + 5309*o - 83435 for o.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1084 divided by -4\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1167?\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.02 + 1.88. What is the third biggest value in -2\/5, 7, f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x. Let o(t) be the first derivative of -t**5\/30 - t**3 - 2. Let b(k) be the third derivative of o(k). Determine -b(y) - 6*p(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-354)\/3304)\/(6\/(-8))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4, 0 = 3*w + 5*c - 2*c + 9. Let o be (6\/10)\/(w\/(-5)). Let i(n) = -3*n - 6. Let f be i(o). Solve -2*v - 11 = -f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s + 4*u = 300, 2*s + 4*u - 616 = 0. Let q = 1149 - s. Suppose -q - 604 = -3*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 57*r + 1410. List the prime factors of f(31).\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1144250568*p + 590577109?\nAnswer: -1144250568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from vvzvvuzzzzzuvzz?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/5)\/u)\/u*u**(-2\/9))\/((u*u**3*u)\/u**(1\/4)) assuming u is positive.\nAnswer: u**(-1183\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 490 and 33139190?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/6*-16)\/1. Solve -4*i - z = -6*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -9*g**2 + 1354*g - 644. Let a be n(150). Is -877\/20 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*o - 1, -2*n + 3*o = -13 + 2. Calculate the highest common factor of 20 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 17*z**2 - 28*z - 28. Let k be s(15). Suppose 3*j + 9*x - 15 = 7*x, 5*x = k*j + 9. Solve 5*u + 40 = j*b + b, 4*u = -3*b - 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -233439 divided by 77813.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from duuuuuuudud?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 15) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 524 - 331. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -24*m + 17 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 144*c**2*x**3 - 410736*c**2*x - 1310*x**5 wrt x?\nAnswer: 864*c**2*x - 26200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*h + h, -5*h - 15 = 0. Suppose 0 = d*l - l. Suppose 0 = -l*r + r. Solve -g + 2 = -r*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**21*k))**27*k\/k**17*k**(-33) assuming k is positive.\nAnswer: k**(-589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2497 - 2497 + 2923*u + (-3 + 2 + 2)*(4 - 4 + u) - 1 + u + 1 + u + u - u - 2*u + 3*u + 0*u to the form c*u + i and give c.\nAnswer: 2927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74866 + 73909 + 73903 + 73910 - 370498 + 73910 - q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 - -79. Let -30 + 7*v**3 - 18*v**3 + s*v**3 - 35*v = 0. What is v?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*u - 100 = 0, 3*u = u - 10. Let i(v) = 38544*v - 1. Let n be i(o). Let b = 274945 + n. What is b rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-28) + 1404\/(-504)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.39 + -0.79. Let d be (-1 - -1) + 73\/(-3). Let l = 25 + d. What is the nearest to -0.1 in 2\/9, n, l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -5\/24*x**4 + 0 + 0*x + 7\/60*x**5 - 5\/2*x**3 + 1\/120*x**6 - 6*x**2. Is r(-6) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 6 - 2 - (5 + -20 + 10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(10\/(-92)) - 2. Let x be 4\/(176\/4788) + 8\/y. Suppose 5*f = 4*j - 2*j - 218, j + 4*f - x = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 - 24783830*d - 30711911473445.\nAnswer: -5*(d + 2478383)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32442 and 246.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3029 times 0.301?\nAnswer: 911.729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 649 + 3*u + 58*u - 649 to the form y + h*u and give h.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -159, -396, -737, -1182, -1731, -2384?\nAnswer: -3141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 13*j + 91. Let m = -2 - 3. Let h = 6.84 + -6.44. Which is the third biggest value? (a) -1 (b) h (c) m (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1204, -2197, -3190, -4183, -5176?\nAnswer: -6169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 176, 676, 1516, 2702, 4240, 6136, 8396?\n\"Answer: h**3 + 164*h**2 + h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -140\/1441 + 258912\/113839. Let m = b - 6397\/3555. Calculate the common denominator of 7\/30 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2182301?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -18579.\nAnswer: -23\/18579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**4\/4 + 753*h**3\/2 - 630729*h**2\/4 + 11995290*h - 253764900 = 0.\nAnswer: 45, 708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 17. Which is smaller: o or -26\/9?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 - 19*a - 22. Give o(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-385)\/(-6) + (-12)\/72. Let c = 102 - t. Suppose -w = 3*b - 280, 0 = 5*b + w - 183 - 287. Calculate the greatest common divisor of b and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 370*l**3 - 9*l**2 - 18*l + 1966. Let q(p) = -185*p**3 + 4*p**2 + 8*p - 979. Let r(w) = 4*k(w) + 9*q(w). What is the derivative of r(d) wrt d?\nAnswer: -555*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 times 366242?\nAnswer: 14283438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 is divided by 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 5 + -10 + 5 + -43 + 15?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -27\/5, 0, -0.05, -1 in decreasing order.\nAnswer: 0, -0.05, -1, -27\/5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -121, -120, 9, -3 in descending order.\nAnswer: 9, -3, -120, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 17, s: 3}. What is prob of sequence syy?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 4:18 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*j - 29*j - 2. Which is the closest to -0.05? (a) j (b) -0.3 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/84 and -85\/372.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 - 4) + (-10 + -3)*-1. Suppose v = 3*t - 3*z, 4*z + 7 = t - 1. Calculate the greatest common factor of t and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -6. Suppose -c = v + c + 112, 0 = -i*v - 2*c - 600. What are the prime factors of 6\/27 - v\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1283944677*q + 4 + 1283944677*q - 25*q**2 - 4.\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1329 + 575 = -17*q. Let c = 115 + q. Let j = 5 + -3. Solve 0 = -j*z + z + c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -98300, -196647, -295092, -393641, -492300, -591075, -689972, -788997?\n\"Answer: -k**3 - 43*k**2 - 98211*k - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.493 and -1.17.\nAnswer: 0.57681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 72 (b) 3 (c) 1 (d) -0.1 (e) -86\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*k*l*n**2 + k*l + 2*k*n**2*o - 2*k + 3*l*n**2*o - 3*l*n + 16*n*o wrt n?\nAnswer: -14*k*l + 4*k*o + 6*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*s + 5*s - 2*s)*(-s + 3*s - 3*s)*(-2 + 1 - 2) to the form h + l*s + f*s**2 and give f.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11113\/14259 or 1?\nAnswer: 11113\/14259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 1\/3, -4, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - (4 + -2) - 0. What is the third derivative of -10*p**6 - 14*p**3 - 5*p**3 - 12*p**a + 19*p**3 wrt p?\nAnswer: -1200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1bd91 + 0?\nAnswer: -1bd91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.61 * 0.1.\nAnswer: -0.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 3*t**6\/10 - 79*t**5\/15 + 18*t**4 + 56*t**3\/3 + t**2 + 15*t. Factor a(w).\nAnswer: 4*(w - 7)*(w - 2)*(9*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -201*l + 15071. What is j(74)?\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/37, 3, -13.\nAnswer: -13, -1\/37, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) 47711.8 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5640862?\nAnswer: 2, 41, 68791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2907, 1, 2 in ascending order.\nAnswer: 1, 2, 2907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l - 5*l = 0. Let b(m) = -m**2 - 4*m + 52. Calculate the remainder when b(l) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/5 and (-2)\/(-12)*(-3 + 4 + 123).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -344, -4.\nAnswer: -344, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -2*p. Let y be 3 + -2 + p - 107002. What is y rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/7))**(-39)*s\/s**(-2\/13)*s\/(s*s*s**(-2\/3)*s))\/((s\/s**2)**(-2\/19))**(2\/57) assuming s is positive.\nAnswer: s**(1080109\/98553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wpaxxxwxaaxp. Give prob of sequence xa.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 19*w - 1. Let t be h(1). Let o(r) = -1 - t*r + 20*r + 1. Let l(g) = -4*g. What is l(o(s))?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25*m*r**2 + 33959047*m - 14784*r**3 - r**2 wrt r?\nAnswer: 50*m*r - 44352*r**2 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 77 + 77.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**5\/((f\/(f**17*f))\/f) assuming f is positive.\nAnswer: f**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j - 4. Let p be s(-2). Suppose -3*w + p*w = -15. Solve w*y = 2*y - 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 4. Let t = 1 - -4. Suppose 5*n - 22 = -2. Solve u*q = t*q - n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -164 + 163. Let s = -28 - 6. Let f = -33.9 - s. What is the closest to c in -1, -3\/5, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 j when three letters picked without replacement from {j: 2, b: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 7*a + 5 = 12*a, -4*d - 4*a = 32 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 221*s**2 - 200*s**2 + 953*s**2 + 1.\nAnswer: 974*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1669)\/(-1669)*-2*3\/60.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**4 + u**4 + 2*u**4)*(-3*u - 3*u + 2 + 2*u) - 2*u**5 + u**5 + 0*u**5.\nAnswer: -13*u**5 + 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1831*z - 3216*z - 1216*z + 321*z.\nAnswer: -5942*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-9)*(-18)\/12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3019, 3721, 4419, 5113, 5803, 6489?\n\"Answer: -2*n**2 + 708*n + 2313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, e: 1}. Give prob of picking 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 430 and 8858.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 1443*q**2\/2 - 2156. Let i(s) = 2*s**2. Calculate i(r(a)).\nAnswer: 4164498*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 287833358 to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19556638 or 19556641?\nAnswer: 19556638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - j + 0)*(8 + 4 - 11)*(-11*j - 11 + 11) as z*j + s*j**2 + m and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**8\/100800 - a**7\/25200 - a**5\/30 + 3*a**2. Let z(v) be the third derivative of g(v). Factor z(k).\nAnswer: -k*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 13 - l**3 - 13 + l. Give r(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16817700 to the nearest 100000.\nAnswer: 16800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.021 * 0.01\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -406 times 0.26?\nAnswer: -105.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 227 = 7*u + 3*o, -o = -u + 39. What is the remainder when u is divided by (-1*15)\/5 - -18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319252 is divided by 4667.\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 282671235*n - 63255908.\nAnswer: 282671235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*5 - (-120)\/(-20). Suppose q*b = -2*r + 598, -3*r = -0*r - 2*b - 897. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.057*9.19.\nAnswer: 0.52383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 3. Let n be w(3). Suppose 3*k - 6 + 0 = n. Solve 2*h = m + m - 10, -m = k*h + 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71 by -532.\nAnswer: -71\/532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -405 - -389. Let i be (156*2)\/3*(-20)\/l. Calculate the greatest common divisor of 26 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 58 - 206 = 0. Suppose -7*f - 200 = g. Which is greater: -37 or f?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/6*(8 + -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 45*w - 18. Let a = 22731 + -22730. Determine n(a).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-535694)\/24)\/((-9)\/6). Let c = 14873 - q. What is the common denominator of -73\/6 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-6)\/1*(-1)\/8\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 9:51 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 4*l + 27 = 2*u, -4*u + 5*l = 27. Let m be (-5 + (-52)\/(-12))\/(8\/6). What is the nearest to -3\/7 in u, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 105*f**2*s**2 - 88*f**2 + 2*f*s**2 - f*s - f wrt s?\nAnswer: 210*f**2 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-7) + -38 + (-2412)\/(-63). Which is the nearest to p? (a) 3 (b) -7.3 (c) -2 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -40. Let s(k) = -2*k - 6. Let c(b) = -b - 3. What is v*s(t) - 9*c(t)?\nAnswer: t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 60, 4*q - 4*l + 63 = 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(88)*4 + sqrt(88))*-2*4)\/((sqrt(288) - (sqrt(288) + sqrt(288)*-1)) + -3*(sqrt(8) - sqrt(16)\/sqrt(2))).\nAnswer: -52*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(847))*4.\nAnswer: -88*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1188 divided by -297.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 - 2*y + 525. What is the units digit of z(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 124 and 0.18.\nAnswer: 22.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 6*o**2 - 56*o - 5. Let u be n(6). Which is greater: u or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320) + 2 - (2*sqrt(320))**2.\nAnswer: -1278 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3*s**2 + s**2 + 3*s**2)*((s**2 + 2*s**3 - s**2)*(3 - 5 + 0) + s**3 + 0*s**3 + s**3).\nAnswer: -2*s**5 - 10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -12*h + 95. What are the prime factors of h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v**3 + 3*v**2 - 4. Let o(a) = -4*a**3 + 2*a**2 - 3. Determine -6*o(j) + 5*t(j).\nAnswer: -j**3 + 3*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 28*g + 1271. What is f(-42)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 152100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-10)\/((-40)\/(-4604)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 8, 5, 9.\nAnswer: -0.1, 5, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246, 247, 248?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 23. Suppose n + 5*p = 2*p + 7, c = 2*n + 4*p. Suppose -d + 7 = -0*d + k, n*d - 5*k - 73 = 0. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-216)\/(-32) - 10785\/140 - (-114)\/(-532)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.039 - 1.039. What is the nearest to 3 in -2, n, -0.06?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 985 - 982. Which is the fourth biggest value? (a) q (b) -9 (c) -0.5 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 6*k - 1. Let b be r(8). Let n = -9 + b. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 1:07 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y**2 + 4*y**2 + 4*y**2. Let s(q) be the second derivative of 5*q**3\/6 + q - 7. Determine s(i(b)).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4064 divided by 1016.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14136 - 3421157\/242. Let v = -51962\/605 + s. Let n = -87 - v. What is the closest to -3 in 0, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 618627177?\nAnswer: 618627177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2574489496 divided by 3.\nAnswer: -2574489496\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 8484 = -33727. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 6*h**2 - 6*h + 7. Let r be k(-7). Let f = 23 + -20. Suppose -f*g = -r*g - 18. Calculate the least common multiple of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 527508058 to the nearest integer?\nAnswer: 22968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. Solve w*t - 2*a = -8, 2*t = -3*a - a + 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 114*u**2 - u - 126. Let s(t) = 116*t**2 - t - 107. Determine 5*s(w) - 4*v(w).\nAnswer: 124*w**2 - w - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214192439 is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -2. What is the least common multiple of g and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -20. Is 7 a factor of (f\/3)\/((-2)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -751 or -21136?\nAnswer: -751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.31 and 6266717.\nAnswer: 6266715.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + t + 15*t**2 - 58*t**4 + 1 - 13*t**2 - 13 in the form l*t**4 + n*t**2 + f*t**3 + k + z*t and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*o + 6 = 49*o - 4*c, 0 = 5*o + c + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(576)*1).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + l = 4*h + 27, 5*h + 11*l - 16*l + 210 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1027ba + -100?\nAnswer: 1026ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6141 + -4750. What is the greatest common factor of f and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 511075.1 and -4?\nAnswer: -2044300.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 9*r + 28 = -5*r, -4*r + 10 = -3*g + 30 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 0, -3, -2.73?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4*o + 7, 16*o = -a + 14*o - 5. Let w(v) = -v + 1. Let q be w(0). Let l = q - a. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)\/(m**(3\/11)*m)*(m\/((m*m**(4\/5))\/m*m))**(-18))**(3\/28) assuming m is positive.\nAnswer: m**(2001\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1441 and 979.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/8 (b) -2\/7 (c) 0.3 (d) -4 (e) 7192\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 191 = -5*r, -r - 5*k + 58 = r. Suppose t + 23 = 5*i, 0 = -3*t - i + 6*i - r. Let q = t + -69. Round q to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18854125?\nAnswer: 5, 150833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*g + 85*g + 672 = 0. Solve -4*s - g = -2*i - i, 5*s - 2*i = -28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 11. Suppose u*b + b = 10. Let d = -1360 - -1365. What is the greatest common divisor of b and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oztmottmztzcbot. What is prob of sequence totm?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a week?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 12:13 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 93137492 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7548820, -7548833, -7548860, -7548907, -7548980, -7549085, -7549228, -7549415?\n\"Answer: -n**3 - n**2 - 3*n - 7548815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 85, -0.05, -0.4, 1521?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1037 divide 11913427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -155 - -154. Let b be (10\/8)\/(v\/(-4)). Solve -g + 31 = -b*j + 2*g, j + g + 3 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 - 72\/(-60)) + 22\/(-10). Solve -d*c + 2\/3*c**5 - 2*c**4 + 22\/3*c**2 + 8\/3 - 2\/3*c**3 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 3*r**4\/4 + 4*r**3\/3 - 10*r**2. Let o be l(5). Calculate the highest common divisor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 9*o = -1375. Suppose 3*s - 6*s = 5*y - 1481, 1195 = 4*y - s. Suppose -5*q = 5*j - o, 2*j + 35 = -5*q + y. Does 33 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 168, 374, 662?\nAnswer: 1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - -8. Suppose 5*w = -n - 21, 0 = -3*n - 0*w + 5*w + a. Solve -n*m = 8 - 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.2. Let s = -321 + 325. Sort g, s, -2\/11 in descending order.\nAnswer: s, g, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 49*c**2 + 3525*c - 208. Calculate v(-72).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4895.546 to the nearest one hundred.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, l: 12}. What is prob of picking 1 l and 2 c?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/260*2 + (-4)\/(-26).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 611*q + 2*g = 610*q - 4, -g = -3*q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(2\/37)))**(-4\/3)\/(n*n**(-11))**(-27))**(-4\/9) assuming n is positive.\nAnswer: n**(119912\/999)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 539 divide 320560009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 0. Let v = -4 + w. Suppose -3*s + 19 = -5*u, -2*s + s + 3*u = -13. Sort 1, s, v in descending order.\nAnswer: v, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 527413, 527414, 527415, 527416?\nAnswer: 527417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -36. Calculate the lowest common multiple of a and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 383070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (186\/(-8))\/(-2 + (-7)\/(-4)). Suppose 0 = 86*l - v*l + 336. What is the second biggest value in -1\/4, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/504 and 107\/504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -29*d + 1034. Calculate k(36).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**3 + 4*t**3 + 765*t**2 - 6*t**3 - 5*t**3 + 306*t**2.\nAnswer: -2*t**3 + 1071*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 8*b + 3. Let o be v(4). Suppose o*x + 2*c = 5*x - 258, -2*c + 397 = 3*x. List the prime factors of x.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2531031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -13. What is the units digit of 3\/(y\/(-8))*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -150*i - 115*i**3 + 22*i + 141*i to q + z*i**2 + o*i + t*i**3 and give t.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((264\/(-42))\/(-11))\/((-12)\/42)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -633000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11895396\/98635 - 3\/19727. Let n = u - 121. Let p be (18\/27)\/(2*1). Which is the second smallest value? (a) n (b) -0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3, 95, -34, 0 in decreasing order.\nAnswer: 95, 0, -3, -10, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -49. Suppose -2*i - 2 = 0, 7*y - 2*y - i = -14. What is the remainder when v is divided by (1\/y)\/(6\/(-180))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus 655660536?\nAnswer: -655660542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 2. Let q be s(2). Let w(b) be the first derivative of q*b + 0*b**5 - 1\/5*b**2 + 1\/5*b**4 + 0*b**3 + 3 - 1\/15*b**6. Solve w(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-3)\/(-1 - 5)). Suppose 5*t + 5 = 0, -n*b = -10*t + 11*t - 7717. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -4\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13154687 divided by 1391.\nAnswer: -9457","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 9*q + 6*q = 141, 0 = 3*m + 5*q - 113. Suppose 0 = -4*l + 4, 715 = 2*d - 2*l - 3*l. What is the highest common factor of m and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009961826 to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 27 + (-884)\/26 - 218\/(-74)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(4\/10) - 2. Suppose -c + 4*c + 21 = h*f, 0 = -5*f - 4*c - 1. Calculate the greatest common factor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (0 - (-2 + -4)) + -1 + 0.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1911719 is divided by 477929?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 157*s**2 + 3*s - 2. Is c(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of u**4 - 2212*u**2 - 3*u + 3618 wrt u?\nAnswer: 4*u**3 - 4424*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 404570 divided by -1\nAnswer: -404570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + i**2 + 848*i + 42. Give k(0).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -129957900 to the nearest one hundred thousand.\nAnswer: -130000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -3. Suppose 5*q + 4*n - 26 = 7, 5*n = -4*q + 30. Suppose 3*x = q*x - 46. What is the remainder when x is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14363, 28652, 42941, 57230?\nAnswer: 71519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-26)\/(-16))*(-556)\/417\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605 at least as big as 567\/232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11.78749cm?\nAnswer: 0.1178749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**3 + 6*h**2 - 2. Let s(p) = 3*p**3 + 17*p**2 - 5. Determine 17*a(o) - 6*s(o).\nAnswer: 50*o**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 5*w, -3*w - 5*p = -8*w - 20 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -55*f + 57*f, -5*t - 2*f - 2362 = 0. Let c = -488 - t. Which is bigger: c or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34844 - 34834. Let k(x) be the third derivative of x**6\/120 - x**5\/6 - 5*x**3\/6 - x**2. Give k(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13883 (base 9) in base 5?\nAnswer: -300341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 8. Let f be l + 5\/(-3)*-3. Let m be f + 0 - (1 + -5). Calculate the highest common factor of 49 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 299 + 3*w**3 - 315 + 0*w**3 - w**3 + 14*w wrt w?\nAnswer: 6*w**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/(-21))\/((-145)\/1218)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 7:22 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 17. Let a be n(-8). Let t = -8035\/342 - 1\/171. Is a greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: d (base 15) to base 7\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*c + 186 - 1056 = 66*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 92.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**3 - 2*i**2 - 1126974*i + 17392635 wrt i.\nAnswer: 6*i**2 - 4*i - 1126974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29441 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d - 1943. Let j(y) = 8*y**2. Calculate j(p(r)).\nAnswer: 32*r**2 + 62176*r + 30201992","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29418233 to the power of 1\/2, to the nearest integer?\nAnswer: 5424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4429, 4295, 4161, 4027, 3893?\n\"Answer: -134*a + 4563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2. Let c(j) be the third derivative of -j**7\/140 + 5*j**4\/12 + j**2. Let f(t) be the second derivative of c(t). Determine m(f(z)).\nAnswer: 324*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -182*b - 101. Let d(j) = -93*j - 51. Let n(a) = 5*d(a) - 3*h(a). What is the tens digit of n(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2182918?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/(-140)*(-378)\/(-2025)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**5 - 171*o**3 + 600*o**2 - 432*o = 0.\nAnswer: -9, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t - 19 + 1 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 1795?\nAnswer: 1798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 32*r - 158. Let b be g(5). Suppose 0 = b*f + 2*f + 3*o - 10, -6 = -4*f - 5*o. Solve 2*u - 2 = f*i, -5*u - i - 28 = -0*i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 10:13 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(-6) + (-31)\/(-93).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -19*t. Let b(s) = 28*s - 62*s + 40*s. Let a(v) = -2*v. Let c(u) = 7*a(u) + 2*b(u). Give w(c(x)).\nAnswer: 38*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.291*0.2.\nAnswer: 0.0582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4587, -4726, -4957, -5280, -5695?\n\"Answer: -46*p**2 - p - 4540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 205817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 99 = 10*p + 3*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1304 by 87.\nAnswer: 1304\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010089 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8927431 a multiple of 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-33)\/(-22)*80)\/((-2)\/3). What is the lowest common multiple of 135 and -3 - v\/21 - 21\/(-49)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(4 - 0) + 5. Suppose y*o - 2*l - 42 = 0, -l - 1 = -2*l. Suppose -23*h = -o*h - 87000. Round h to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5\/3 + 8*k**4\/3 - 22*k**3\/3 + 28*k**2\/3 - 17*k\/3 + 4\/3.\nAnswer: -(k - 4)*(k - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 4, 5 in decreasing order.\nAnswer: 5, 4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 60*t**3 + 25*t. Let p(r) be the second derivative of r**5\/4 + r**3\/3 + 8*r. Determine 25*p(g) - 2*z(g).\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 - 303 + 303.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -1)*1 + 982 + -991.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2183*k + 4143*k - 6360 = 2080*k for k.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1801 is divided by 126.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 133273219 a multiple of 251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**3\/3 + 5*c**2\/2 - 1. Let y(t) = -t. Let s(i) = 2*i - 16. Let p be s(11). Give p*y(n) + x(n).\nAnswer: -n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1354 + 1350. Put -0.05, m, 7\/4, -5 in increasing order.\nAnswer: -5, m, -0.05, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16301997 and 4653?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25318331.3 and -0.5.\nAnswer: -12659165.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(2\/(-139)) - -1. Suppose 48 = 3*g - 4*w, -10*g + 4*w = -13*g + 72. Calculate the highest common divisor of g and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/203? (a) -9 (b) 177\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -19459968 divided by -4336\nAnswer: 4488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5250 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 7*a**2 + 20*a - 4. Let u be n(12). Let y be (u\/4 + -3)\/2. Which is greater: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(880\/64)*(-22)\/4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**5\/7 - 285*y**4\/7 + 873*y**3\/7 - 879*y**2\/7 + 42*y = 0?\nAnswer: -98, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5625*n**2*q**3 - 2*n**2*q**2 + 29*n**2 - 2*n*q**3 + 4990112*n wrt n?\nAnswer: -11250*q**3 - 4*q**2 + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 16646174803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - ((4 - -5) + -3). What are the prime factors of (-1047)\/(-12) + 1\/c?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j**3 + 2*j**2 - 2*j - 5. Let b be d(-4). Let l = 486 - 4841\/10. What is the common denominator of l and b\/(-30)*-1*(-1 + 4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 13*i + 294. Determine v(40).\nAnswer: -786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -5) + -7 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(11)*-2 + sqrt(11) + 1 + -1*(5*sqrt(275) - sqrt(11)))**2 + -3.\nAnswer: 50*sqrt(11) + 6873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22120120 + 10?\nAnswer: 22120200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - j**2 - 7*j + 13. What is m(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7326269 and 12.\nAnswer: 8.7915228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4*c + 3)*(0 + 0 - 1)*(-105*c + 51*c - 59*c) as h*c**2 + v*c + d and give h.\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwwwrrrrrrwrrwrr. What is prob of picking 3 w?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1359255 divided by 1\nAnswer: 1359255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-2)*(-680)\/(-2975))\/(-2*3\/294).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from ddydyddyddd?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6740272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2026650 (base 8) to base 5.\nAnswer: 114122401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 462144174 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*v = -41*v + 7 - 225 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55276794 and 3070933?\nAnswer: 55276794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + m = -7, q - 2*m = 6*q - 19. Let n(v) = -10*v + 3. Let r(k) = 41*k - 12. Let s(b) = -9*n(b) - 2*r(b). Is 10 a factor of s(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.71 and -10.4949?\nAnswer: 7.7849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v - 10*v - 108 + 144 + 167.\nAnswer: -v + 203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2 + 20*b - 21. Let n(i) = i**3 + 5*i**2 - 20*i + 21. Give 2*n(o) + 3*p(o).\nAnswer: 2*o**3 + o**2 + 20*o - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -46 in decreasing order.\nAnswer: 1, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -340927, -1363593, -3068037, -5454259?\nAnswer: -8522259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(80)\/sqrt(4) - (sqrt(20) + sqrt(20) + sqrt(100)\/sqrt(5))*4)\/(3*1*(sqrt(4) + sqrt(16)\/sqrt(4))).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/6*(2 + 0). Suppose -p - 4*p + 25 = 0. Suppose 4*i = i + 12. Solve p*c = -w - h, -7 = 4*c - 3*w + i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 5*v + 29 = 5*g, -5*v + 27 = 3*g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000124282 to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 325 and 5.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4239227.61 rounded to the nearest one hundred thousand?\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -216 (base 13) in base 12?\nAnswer: -259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 480528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1294*q**4 - 2*q**2 + 997*q wrt q.\nAnswer: -31056*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -1144297*z**2. Let q(x) = -1897*x**2. Determine q(c(o)).\nAnswer: -2483961439124473*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/1472*((32\/10 - 2) + -2)?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*v\/(v*v**(3\/2)*v*v*v))*v*v**(-1\/2)*v**4*v**11\/v assuming v is positive.\nAnswer: v**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 + 4*j + 5. Does 33 divide o(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*l**3 + 6*l - 80*l**2 - 13*l - 13*l.\nAnswer: -5*l*(l + 2)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.83 minus 5885?\nAnswer: -5900.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 78489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 56 = 3*n. Let r = n + 21. What is the second derivative of c + 6*c**4 + c - r*c**4 wrt c?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 + 2 - (-7 + 65476\/4). Let o = -81423\/5 - m. Solve -414\/5*s**2 - o*s**3 + 54\/5 + 27\/5*s - 3*s**5 - 136\/5*s**4 = 0.\nAnswer: -3, -2\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6067769 rounded to two decimal places?\nAnswer: -3.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135 and (-91)\/(-3) + (4\/(-2))\/6.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6*i = -1285. Let f = i + 468. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16272806 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*f - 197*f = -131*f + 2408 for f.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of x**4 + 29*x**3 + 273*x**2 - 30*x - 34574418 wrt x?\nAnswer: 4*x**3 + 87*x**2 + 546*x - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45637 by -1.\nAnswer: 45637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-25 + 605\/25 - (-12621)\/(-630))\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -8*t. Suppose t = 3*u + 1 - 7. Let q(l) = -3*l**2 - l**u + l**2. Let v(p) = -2*p. What is v(q(i))?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2873207000 rounded to the nearest one million?\nAnswer: -2873000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-1) + (-4 - -1). Let l be -2 + 4\/3 + 2. Which is bigger: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103 + 358. Calculate the least common multiple of n and 153.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 492 and 3100.\nAnswer: 381300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*1*sqrt(250) - sqrt(250))\/((sqrt(270) + sqrt(30))\/sqrt(6) - sqrt(5)))\/(4*(sqrt(810)*2 - (sqrt(640) + 2*sqrt(640)))).\nAnswer: 5*sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1797\/77 - 252\/11. Let v = -2978.1 - -2978. Which is the nearest to -1? (a) 4\/9 (b) v (c) 1 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 - o - 1. Let w(a) be the first derivative of -a**4 + a**2 + 2*a - 84. Calculate 9*f(y) + 4*w(y).\nAnswer: 2*y**3 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 23 + i**2 + 88.\nAnswer: i**2 + 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldee when four letters picked without replacement from lesleeeldesdllfesd?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -354\/5 - -71. Let q = -127 + 132. Which is the second biggest value? (a) -3 (b) q (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*j - 3*k + 26, 4*k - 3 = j. Suppose -5*n = 4*d - 2*d - 15, -2*d - j = n. Solve 4*g = -15 - n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**4\/12 - 745*n**3\/3 - 13681*n**2\/2 + 8*n + 93. What is the derivative of p(s) wrt s?\nAnswer: -2*s - 1490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252 and 42.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10348?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 7\/4*y**3 - 344*y - 55\/2*y**2 - 96 = 0.\nAnswer: -8, -2\/7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 5*b + 5. Let d be y(5). Let h = 67107\/17665 - -4\/3533. Sort h, -4, -0.03, d in decreasing order.\nAnswer: d, h, -0.03, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408319110 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -10*j. Let m(d) = 5009*d**2. Calculate i(m(k)).\nAnswer: -50090*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-508.\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d. Let h(u) = 8691*u**2 - 3561*u**2 - 3198*u**2. Determine h(p(x)).\nAnswer: 7728*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 103806182 a multiple of 667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.7921938km?\nAnswer: 792193.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 - 25*i + 82*i - 29*i - 25*i - 92*i**2 to w*i**2 + n*i + y*i**3 + t and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n. Let t(x) be the second derivative of -10*x**4\/3 + 2*x + 13. Calculate t(c(u)).\nAnswer: -160*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = 42 + 21. Is 6\/7 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.5 + -1.9. Which is the nearest to 2? (a) 14 (b) k (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900)*-2 + sqrt(1900))*-4 - sqrt(1900))**2.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -138*(-97)\/((-40158)\/(-81))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/27*3)\/1. Which is the third smallest value? (a) -1\/3 (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*((sqrt(1377) - ((sqrt(1377) + 5 - sqrt(1377)) + -3 - sqrt(1377))) + 5) + 3)*2*-1)**2.\nAnswer: 864*sqrt(17) + 88164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.82 minus 2.444?\nAnswer: -3.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3\/2 (b) -2 (c) 10 (d) -149 (e) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40)\/(-22) - 2\/(-11). Solve 2*t = -4, -5*d - 3*t - n*t = 30 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 340*u - 713*u + 3 + 358*u in the form f*u + a and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335382 is divided by 435.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5562*i - 100071. Calculate x(-18).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 75 - 175 + 115206*d**2 - 115208*d**2.\nAnswer: -2*d**2 - 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.3 + -20.2. Let u = 3.1 - j. What is the nearest to -3 in -3\/4, 0.5, u?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 111010001101000?\nAnswer: 111010001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**4\/54 + 2*a**3\/27 + 4*a - 12. Let j(w) be the first derivative of m(w). Factor j(s).\nAnswer: -2*s*(s - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -57*m**4\/10 - 56*m**3\/5 + 289*m**2\/10 + 166*m\/5 - 6\/5 = 0.\nAnswer: -3, -1, 2\/57, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.11 - -0.11. Let h = -0.19 - -0.16. Let u = -0.23 - h. What is the closest to 0 in -4, g, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 590*g**3 - 48*g**2 + 24*g**2 + 24*g**2 - 576*g**3 - 3.\nAnswer: 14*g**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 + 31. Let w(y) = 6*y**2 + 8*y + 4. Let q(c) = 20*c**2 + 30*c + 15. Let m(z) = 4*q(z) - 15*w(z). Calculate m(i(b)).\nAnswer: -40*b**4 - 1240*b**2 - 9610","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a millennium in months?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 2270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three fifths of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 3*y**5\/20 - 4*y**2 - 11*y. Find the first derivative of i(m) wrt m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*c + 3. Suppose -c*u = -1 - 7. Suppose 0 = -3*x + 2*x - u, -2*v + 2*x + 40 = 0. Solve l = 5*p - l + 14, 4*l = -p - v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/179 + -376\/1611. Suppose 0 = -2*n + n - 1. Is n <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 3:14 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, c: 1, l: 3, g: 2}. What is prob of sequence gg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 16 - 112)*(-2*q + 2*q - 2*q) + 0*q + 2*q - 4*q.\nAnswer: 186*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 302, -6, -3, 1 in decreasing order.\nAnswer: 302, 1, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*j = -39, -5*b + 23*j - 57 = 21*j. What is the hundreds digit of (b\/5)\/(3\/(-330)*2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2739644 * 0.3.\nAnswer: -821893.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -50553 (base 8) in base 12?\nAnswer: -1008b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5567\/15 + -371. Suppose 14*t + 15 = 11*t. What is the fourth biggest value in 1\/3, -2\/3, u, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*q - 2*l, 5*q + 4*l - 2*l - 23 = 0. Suppose -q*c + 3*z - 6 = 12, -2*z = c + 12. Find the common denominator of (-470)\/c*(-2)\/(-5) and 73\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 5 - 8*r**2 + 4*r**3 - 1 - 8*r**3 + 3*r**3. Suppose -2*o = 12 + 4. What is the least common multiple of 12 and g(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/4 (b) -30 (c) 1\/5 (d) -5 (e) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -171, -8, 1, 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83586 by 2057.\nAnswer: 83586\/2057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 101835.\nAnswer: -2\/101835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/520 and -49\/65.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 48\/28 - (-4)\/14. Suppose -j*b - b + 33 = 0. Calculate the greatest common factor of 77 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 484*f**3 + 1451*f**2 - 7*f - 3. Give b(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 + 7*m**2 + 10 + (-2*m - 2*m + 0*m)*(0*m - m + 0*m).\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 1807.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -16882\nAnswer: 1\/16882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 i when two letters picked without replacement from {q: 2, v: 3, g: 4, i: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -562 divided by -222\nAnswer: 281\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.9 and 3909?\nAnswer: 3908.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((2*sqrt(2) + sqrt(2))*-5*2 + 5 + (((sqrt(80)*2 - sqrt(80))\/sqrt(10) - sqrt(8)) + sqrt(8) + sqrt(8))\/sqrt(4)*6)**2 + 1.\nAnswer: -180*sqrt(2) + 676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14593*n + 14616*n - 345 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -30, 347, -1 in descending order.\nAnswer: 347, 11, -1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86.8 + -88. Let v = -6.2 - g. Which is the closest to 1\/4? (a) -0.02 (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3419*t - 17434 = -3442*t. Calculate the remainder when t is divided by 128.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/110)\/(85*(-4)\/(-3740))\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -74*26\nAnswer: -1924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-6)*8\/30 + 25308\/855.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -19 - 14 - 7 + 2*s + 40. Let r(q) be the third derivative of -5*q**4\/8 - q**2. Calculate i(r(o)).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14900, -29799, -44698, -59597?\nAnswer: -74496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3.037697 centuries?\nAnswer: 3645.2364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*r - 614 - 114. Let w = 55 - r. Let o(m) = m**2 + 1. Let y be o(1). Solve -w*f = -2*f - y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 1. Let u(k) = -67*k**2 - 6*k - 6. What is u(l) + 6*y(l)?\nAnswer: -67*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 3)\/(-1 - 0). Suppose 2*o - 58 = -42. Let l be (((-32)\/36)\/o)\/(-1). Is l <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1052979 = 330*i - 243077 - 451294. Is 5295 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 3 + 1 + 2. Suppose 0 = -h*a + 194 + 136. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**3 + 2*c**2 - 1. Let q be j(1). Suppose -1 = 5*n - 21. Suppose -5*v + 11 = h, n*v - 6 = 5*h - 3. Solve q*z - t = 21, h = z + t + 3*t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 7*s**2 + 8. Let f(w) = -w**3 + 6*w**2 + 7. Let v(u) = 5*f(u) - 4*n(u). Let b = -15 - -31. Let c(m) = 3 + 2 - b + 10. Give -5*c(d) - v(d).\nAnswer: d**3 - 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-2\/19)\/m*m*m**(-2\/11)*m*m*m*m**(-8)*m*m**(2\/15) assuming m is positive.\nAnswer: m**(-9887\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 <= 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u + 1. Suppose -5*d + 2*d = -9, -3*d = -4*n + 23. Suppose 0 = 3*x - 2*x + n. Let q be j(x). Is -24 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/66*(-1 + (-40)\/(-48))*-3.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 + 4 + 39943*d**2 - 39972*d**2 to the form j*d**2 + w + f*d and give w.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/4))\/h*h\/(h**(2\/23)*h)*h*h assuming h is positive.\nAnswer: h**(199\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -5*d**4\/12 + 35*d**3\/3 - 245*d**2\/2 - 38*d. Factor a(n).\nAnswer: -5*(n - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204, 175, 88, -87, -380, -821, -1440?\nAnswer: -2267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000174296 to six dps.\nAnswer: -0.000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 7*k**2 + 5. Let f be h(-7). What is the second derivative of -4471*s**3 - 16*s**f - 2*s + 4471*s**3 wrt s?\nAnswer: -320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4780 + -364. Let z = 9133 + n. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/2242 - 4477\/15694. Which is the nearest to -0.1? (a) 0 (b) h (c) -5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3 = 0, 3182 = 5*q + 4*h + 561. Suppose -7*u + q = 98. List the prime factors of u.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 2*i. Let q be y(1). Let c(w) be the first derivative of w**2 + w - 39. Give c(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.207 - -84.793. Which is the nearest to -1? (a) o (b) -2\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1677 and 708253.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85955325077\/3102 + 304806174\/11. Let a = 6\/517 + t. Calculate the common denominator of 1230\/18*(-1)\/(-5) and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 12:50 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -30, 108, 326, 618, 978?\n\"Answer: -t**3 + 46*t**2 + 7*t - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8575 and 467950?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -134709.9 to the nearest 100.\nAnswer: -134700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4207 and 242809.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 5*x**2. Let j be p(5). Suppose 4*z - b - 593 = j, 8*b + 737 = 5*z + 11*b. List the prime factors of z.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1404 divided by 4\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -186a + 279?\nAnswer: -15c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from {j: 1, y: 1, x: 5, f: 3, t: 1, s: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 + 13*s**2 + 60*s - 354. What is the remainder when 128 is divided by i(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-37 - (-39 - 22))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5 = u, 0*r - 2*r + 4*u - 8 = 0. Find the third derivative of -15*a**r + 26*a**2 + 2*a**6 - 16*a**2 wrt a.\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1786 - -1785.99993174. Round a to six decimal places.\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 - 650760?\nAnswer: -650693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10010011110 (base 2) to base 15\nAnswer: -53c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43452 (base 14) to base 2.\nAnswer: 100111101111000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 21 = -2*s + 5, 3*h - 15 = 3*s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 99)\/2 - (124 + -118). Let l = -123 + 67. Are x and l non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -22. Calculate the greatest common factor of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 588\/(-56)*(-5)\/((-35)\/(-12)). Let r = 15 - c. Let d(v) = -v**2 - v - 1. Give d(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-12)*4*9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -100 + 53?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 f when three letters picked without replacement from {x: 2, f: 1, j: 3, d: 11, c: 2}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 130, 1, 11 in increasing order.\nAnswer: 1, 11, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -300199*l + 15. Let n be u(-15). Round n to the nearest one hundred thousand.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**5\/4 - 29*w**4\/4 + 12*w**3 + 11*w**2 = 0. Calculate w.\nAnswer: -11, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 141187592 greater than or equal to 141187594?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2294979 + -1615813. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**2 + 10*w + 164. Calculate l(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 + 1 - j**2 + 3*j + 2*j**3 - 3*j**3. Suppose 0 = l - 3. Let q(v) = 4*v + 2*v**2 + 4 - 3*v - l*v - 5. Give -3*q(i) - 2*y(i).\nAnswer: 2*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/4 and 139\/150.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -170.50121 take away -3?\nAnswer: -167.50121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-8104 + 8106)*(38\/(-4) - 0)*1\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 52 + 58. Let w = x - 2. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71430440 divided by -1785761.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 1\/2*k**2 + 0 + 0*k**3 - 1\/6*k**4 - 2*k - 1\/20*k**5. Determine s(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 35 = -11. What is the units digit of (-3)\/j + (-69)\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 1:53 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2350176 is divided by 216.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zo when two letters picked without replacement from {o: 3, z: 1, x: 10, s: 2}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -17.68. Let s = 347414.3200016 + -347414. Let n = b + s. What is n rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 421 - -0.6\nAnswer: 421.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 19*t**8\/336 - 27*t**6\/40 + 27*t**5\/20 + t**4\/2 + 145*t**2 - 2*t - 1. What is the third derivative of j(s) wrt s?\nAnswer: 1140*s**2 - 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 11 - 14. Let z be (-114)\/15 - (-2)\/l. Let s(g) = -g - 5. Let h be s(z). Solve -h*j - x = 3*x - 14, 2*j - 5*x + 29 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108045 and 147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 - 144. Let w = y - -66. Let r = -0.96 - 0.04. Which is the closest to w? (a) 0.3 (b) -0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 take away 2999?\nAnswer: -3009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -573*p - 14099 = 13978 for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -469, -958, -1469, -2002, -2557, -3134, -3733?\nAnswer: -4354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -4. Find the second derivative of 2*h**z - 4*h**4 - h**2 + 3*h - h**2 wrt h.\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 - 10)\/4 - 138\/(-8). What is the highest common divisor of v and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4686 and 13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i - 4. Let v be p(18). Let y = -87 + v. What is the closest to -28 in 4, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -1\/4 (c) -2 (d) -0.94 (e) -157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kww when three letters picked without replacement from kkwbbbkbwbwwbkk.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -33. Let f = s - -4. Suppose -g = 2*b - 11, -5*b + 29 = 4*g - f. Solve 4*p = -g*u + 9, u + 5 = p - u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/29, 1\/16, 2\/241, 60 in increasing order.\nAnswer: -2\/29, 2\/241, 1\/16, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**2\/r*r)\/r*r)\/r**0*((r\/(r*r\/((r**(-1)\/r)\/r)))\/r)**(1\/33))\/(r**(-1\/2)*r**(1\/11)*r)**33 assuming r is positive.\nAnswer: r**(-1165\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -5. Solve 2*h + 5 = -p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017743653 to four dps.\nAnswer: 0.0177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 89687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140.843 + -1.\nAnswer: 139.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-9)*i)**(19\/3))**(-37) assuming i is positive.\nAnswer: i**(5624\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g - 7. Let h be i(3). Let r(b) = -7*b - 1. Let c be r(h). Is (-2 - (-15)\/c)*422 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2704*d - 9590 + 6754 = 13388 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 0*t**5 + 0*t**3 + 0*t + 0*t**4 - 1 - 5\/2*t**2 + 1\/3*t**6. What is the second derivative of f(v) wrt v?\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 12*f**2 - 47*f + 44. Let o be p(10). Let j = 836 + o. Calculate the greatest common factor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199 times 1.01?\nAnswer: 200.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13115904 and 9312.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 199353 - 59425 - 642926 - 330245.\nAnswer: z - 1231949","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 20 = 6*c. Let q = -9 - -4. Sort 1, q, c.\nAnswer: q, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*n**3*o**3 - 49*n**3*o**2 + 2*n**3*o*r + 4*n**2*r + 10*n*o**3*r + 3*o**3*r - 8*o**3 + 6*r wrt o?\nAnswer: 96*n**3 + 60*n*r + 18*r - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74385 (base 12) to base 6.\nAnswer: -3134245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(208)*-1 + 4.\nAnswer: -4*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*f**3 + 6148*f**2 + 26464*f + 24384.\nAnswer: 4*(f + 3)*(f + 508)*(3*f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -8*n**2 + 2*n - 1. Let c be ((-13)\/(-5) - 3)\/(4\/(-10)). What is v(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80556018.\nAnswer: 2, 3, 2089, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 5*l - 18 = -29, -2*l + 2 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 10*p - 36 = 4*c, 2*p = -3*c - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*i**2 + 204*i**3 + 28*i**2 - 50*i**2.\nAnswer: 204*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 7232, -124, 3\/2 in descending order.\nAnswer: 7232, 3\/2, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.585846um in nanometers?\nAnswer: 2585.846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -f + 6*f - 16, -2*f = 8. Let t = 30 + x. Is t\/(-42) + 583\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -58*l - 1329. Let i be o(-23). Let h(d) be the third derivative of 0*d + 0*d**3 - 13*d**2 - 7\/12*d**i + 5\/12*d**4 + 0. Determine m so that h(m) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 25 = 20 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*l**4*x - 8286*l**3 - 8*l**2*x - 137*l**2 + l - 37*x wrt l?\nAnswer: 912*l*x - 49716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 1. Let p = 15 - 19. Let l be c(p). What is the third derivative of 12*n**3 - 12*n**l - 9*n**5 + 9*n**2 wrt n?\nAnswer: -540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 - 4. Is 44 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47940 > -47935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g - 24 - 21 = 0. Let a(d) = -4*d**2 + 10*d - 6. Let z be a(2). Sort z, -13, 4, g in decreasing order.\nAnswer: 4, z, g, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(1980\/72 + -3 + -1). What is the highest common factor of x and 611?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**2 + 3*i**2 + 5*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1701)*2 + sqrt(1701))\/sqrt(7).\nAnswer: 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -187*s + 1454. List the prime factors of p(-21).\nAnswer: 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(56)\/(sqrt(192)\/sqrt(6)).\nAnswer: -2 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4377 + -1855. Suppose 3*i - d = i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 22 - 6 = 0. Suppose -10 = -h*r - 2. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 2773672.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.3 + 1.3. Which is the closest to 1? (a) o (b) 2\/11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1669, 3499, 5353, 7231, 9133, 11059?\n\"Answer: 12*b**2 + 1794*b - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -7 + (-2 - (-5 - -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -15898500 to the nearest 100000.\nAnswer: -15900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + 2 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 4. What is l(-20)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 1. Let t(p) = 9 - 3*p + 12 + 8 + 2 - 25. Suppose 6*n + 4*w + 4 = 2*n, 43 = -3*n + 5*w. Let g = -7 - n. Determine g*t(z) + 6*v(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*r - 2*r. Solve 80*q**2 - 35*q**r - 2*q**5 + 23*q**3 - 63*q**3 - 3*q**5 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84168784 and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 7:13 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.3 and 0.047?\nAnswer: -0.1551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0029? (a) -3 (b) 2\/3 (c) -4865 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11026994 to the power of 1\/2, to the nearest integer?\nAnswer: 3321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/9 in -2, 1, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28932, -29060, -29412, -30102, -31244, -32952, -35340, -38522?\n\"Answer: -19*a**3 + 2*a**2 - a - 28914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**3 - 8*c + 3. Let o(f) = -2*f**3 + 4*f - 2. Determine 3*n(y) + 7*o(y).\nAnswer: y**3 + 4*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-115))\/(426\/1633)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + h - 3*h)*(170*h**3 - 54*h**3 - 1 - 92*h**3) to the form x*h**3 + f*h + m*h**2 + t*h**4 + w and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -20, -0.5, 105, -0.2, -4\/7?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 4*g - 4*g)*(-5 + 3 - 13) to the form x*g + v and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(4\/5)*z)**(2\/143)*(z\/(z\/((z\/(z**(-2\/9)\/z))\/z))*z)\/(z*z*z*z**(-11\/2)*z*z) assuming z is positive.\nAnswer: z**(35251\/12870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**2 - 201828*d - 80764149 wrt d.\nAnswer: 2*d - 201828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x - 3. Suppose -10 = -4*m + 2*m. What is the units digit of l(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421997 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uunnuun. What is prob of picking 2 n and 1 u?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 4 (c) 3\/7 (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2062595.44 plus 8492?\nAnswer: -2054103.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -443 = -q + 3*j - 4*j, 1321 = 3*q + 5*j. Let d be 5824\/(-30) - (1819\/(-255) + 7) - 3. Let l = q + d. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5910245 months in years?\nAnswer: 0.132585375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -18 + 3*d**3 + 8 - d**2 + d**2. Let w(i) = -i**3 + 1. Let a(j) = -k(j) - 6*w(j). What is the first derivative of a(b) wrt b?\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12213421 (base 5) in base 15?\nAnswer: -248c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(126\/(-4)))\/(45187\/4333)?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318925725?\nAnswer: 3, 5, 137, 31039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32709655 = -4*v + 12410345. Round v to the nearest 100000.\nAnswer: 11300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 7*d**2 - d + 7. Let i be u(7). Suppose i + 2 = y. Suppose -4*v + 5*w = -29, -4*v = w - y + 3. Solve 1 = k - v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*p + 6092 - 6092 in the form j + i*p and give i.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*(4 + (-2*(sqrt(77)*2 - sqrt(77)))\/sqrt(7)*-3 + 2 + 5).\nAnswer: 55 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h - h)*(156 + 227 - 213).\nAnswer: -170*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-150)\/375)\/(10\/8*(-158)\/(-1185))?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 631347, 1261152, 1890957, 2520762?\n\"Answer: 629805*b + 1542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/21*18\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + (-7 - -6 - 12) + (24 - 9).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*m + 5, 4*g - 45 = -5*m. Solve 4*l = -g*p + 2, -l - 15 = 3*p - 4*l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21988, 44046, 66100, 88150, 110196, 132238, 154276?\n\"Answer: -2*z**2 + 22064*z - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.8 + -2. Let h = -10 - -11.9. Let u = h - 2.4. Which is the nearest to t? (a) 0.4 (b) u (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 239367691 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 + 0.05730481\nAnswer: 0.13730481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 341197, 341198, 341199, 341200, 341201?\n\"Answer: g + 341196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxx when three letters picked without replacement from {c: 6, x: 13}.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222972 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4 - m - 8 + m**2 - 4*m. Let w be y(6). Suppose -w*t + 9 = -9. Solve 2*b - 5*b - t = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28869337.\nAnswer: 7, 4124191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 219.0959 kilograms to grams.\nAnswer: 219095.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2 = 8. Suppose 0 = u*d - 3 - 3. Let s(l) = -d*l - 3*l + 2*l + 5*l. Let w(o) = 2*o**2. What is s(w(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 + -30. Let p = -21 + g. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*k**2 - 84*k + 73*k**2 - 349*k + 94*k**2.\nAnswer: -2*k**2 - 433*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/11 - 7451634*k**2\/11 + 22354920*k\/11.\nAnswer: -2*k*(k - 3)*(k + 3725820)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19445832 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 329.0415 - 0.0415. Let d = 332 - r. Let t = 6 - 5.5. What is the nearest to d in -0.01, -1\/4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91.5 - -155. Let d = -97 + c. Let g = 31 + d. Round g to one dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 + 0.4. Let p = w - 0. Let y = 0.16 - 3.16. What is the third biggest value in y, p, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 6:11 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 156*d - 460. Let q be r(3). Solve -s + 9 = 2*z, -q*z + s = -3*z - 19 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, o: 3, c: 3, u: 1, t: 2, h: 6}. What is prob of sequence cpcc?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*j + j - 4*g, -4*g - 21 = -j. Suppose 0*n + 10 = 5*v + n, j*n - 4 = -2*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 272\/(-40) + (-103148)\/2140\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 4. Let v be (40\/(-4) + 3)*1. Let n be w(v). Suppose -s + 2 + n = 0. Calculate the remainder when s is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 + 293*r**2 + 2194*r + 12. Give s(-8).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 7:27 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*s + s - 5*o, -2*s = 3*o - 1. Let b be (s\/(-3))\/(1\/(-3))*-1. Let c(n) = 6*n + 1. List the prime factors of c(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2460 = 4*n, -1143 + 323 = v + 2*n. Let x be 1\/((4 + v\/204)*-3). Solve -2*y = 4*a, 5*y + 45 = 4*a + x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*a**2 - 16*a**2 + a + 16*a**3 - 90*a**2 + 10*a**3.\nAnswer: 26*a**3 - 53*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*2 + 3 + sqrt(2) + 1 + 5*(sqrt(32) + sqrt(2) + -2))**2.\nAnswer: -456*sqrt(2) + 2924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 4 = 2*f, 3*f - 5 = -4*n + 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**4 - 417*n**3 + 909*n**2 + 8937*n + 7614 = 0.\nAnswer: -141, -3, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 7606 = 2*h, -4*h - 18*n = -16*n - 15204. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*c*i*v**3 - 5*c*i*v + c*i + i*v**2 - 2*i*v + 3*v**3 + 2*v wrt v?\nAnswer: -42*c*i*v + 2*i + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -26363*s + 131598. Determine n(5).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c8b (base 13) to base 2.\nAnswer: -10001000011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4 - 3 - 9 - -317?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 21*d**3\/2 + 69*d**2\/2 + 12*d - 30 = 0.\nAnswer: -2, 5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/((-924)\/(-1358)) - -4) + 5.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/5 (b) -9 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - -1) + 0\/(-7). Let r(t) = -4 + p + t + 1. Let v(a) = 2*a**2. Determine v(r(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2024 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22519 = -4*b - u - 3459, -2*u = -5*b + 23825. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99 + 274. What is the highest common factor of 25 and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16070756 is divided by 1167.\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -1 (b) -1526 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -15. Let n be 24\/9*r\/8. Find the third derivative of y**5 - y**n + 0*y**2 + y**5 wrt y.\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 49*g**2. Give n(-49).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37.000302 + -37. Round l to 5 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.85413609 rounded to 3 dps?\nAnswer: -0.854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2149 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-483)\/49 + 10 - (-12)\/(-280) - (-23659)\/(-590).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**5 + 6*p**5 - 3*p**5)*(5 + 18 - 4).\nAnswer: -19*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - 4. Let i(u) = -3*u**2 + 5. Let l(m) = 4*i(m) + 5*w(m). Let t(s) = 4*s**2. What is l(t(h))?\nAnswer: -32*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 1\/4, 0.406?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -234 - -219. Let i be (o + 3 + 0)*-3. Calculate the greatest common divisor of 144 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1902 plus -3142?\nAnswer: -5044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/3 + 3140*r**2\/3 + 206923*r\/3 + 1057112.\nAnswer: (r + 24)*(r + 43)*(r + 3073)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2940, 2726, 2368, 1866?\nAnswer: 1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w - 4. Calculate a(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5490\/(-75)*10\/(-4). Let c = d + -123. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2802842*y**3 + 12756593?\nAnswer: 8408526*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v = -14. Let m = -6 + v. Suppose 4*q - 22 = -5*p, -4*p - 24 = -8*q + 6*q. What is the greatest common factor of m and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -9) + (43 - 30).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 4*t = -36, 0 = 5*x + 35*t - 4 + 264 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(2754)*-2)\/(sqrt(16)\/(-3*sqrt(512) - sqrt(512))).\nAnswer: -2304*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybtbkbbwbtgggtbtwbgt. Give prob of sequence tgwk.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - b = -9 - 4, 27 = -5*v - b. Let p(i) be the third derivative of -3*i**4\/8 - i**3\/6 + 2*i**2. Does 21 divide p(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.168? (a) 0 (b) 0.026 (c) 1\/5 (d) 4 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-five halves of a micrometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - ((-6)\/(-2) - -7). Let g = f - -23. What is the remainder when 37 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -103*k**7\/105 - k**6\/15 - 371*k**4\/6 - 46*k**2 + k. Find the second derivative of r(j) wrt j.\nAnswer: -2472*j**2 - 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 186478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 9*k**2 + 101*k + 7. What are the prime factors of c(9)?\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 2*l + 8, 148*l = 143*l + c - 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u - 10. Let w be b(2). Let o(q) = -q**2 + q + 2902. Is o(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 11290?\nAnswer: 124190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 379*d**2 + 5289*d - 227. Determine v(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen fifths of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 2. Let f(w) = 5*w - 11. Calculate -f(n) - 6*p(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -7*j - 60. Let s = j - -24. Factor -2\/3*k**s + 2\/3 + 4\/3*k + 0*k**2 - 4\/3*k**3.\nAnswer: -2*(k - 1)*(k + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7764965914 to the nearest integer?\nAnswer: 1980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1027814 is divided by 883.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -184, -428, -770, -1210, -1748, -2384?\nAnswer: -3118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 8. Let s be g(6). Let r be (-5)\/4 + (-2)\/(-8). Let a = s - r. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - d + 1258 - 1213.\nAnswer: 2*d + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 3401.\nAnswer: 6\/3401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 2*i**2 - 37\/2*i**3 + 29\/30*i**5 + 0*i - 135 + 0*i**4. What is the derivative of o(r) wrt r?\nAnswer: 116*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than 32\/56083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 1:29 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -741*r - 205*r - 2048 + 462 - 888*r - 379 wrt r?\nAnswer: -1834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11849 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c + c + 3*c + (-7 + 1 + 4)*(50 - 18 + 19)*(2*c + c - 2*c) to the form a*c + t and give a.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -5, -2, -1\/6, -2\/5 in increasing order.\nAnswer: -5, -2, -3\/5, -2\/5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 479124233?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, 4, 2, -1 in ascending order.\nAnswer: -95, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -91386, -91389, -91394, -91401, -91410, -91421, -91434?\n\"Answer: -o**2 - 91385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 5. Let w be g(3). Suppose 0 = 5*q + 3*y - 583, -4*q - w*y = -6*y - 492. Suppose -5*d + i = -3*i - 110, -3*i + q = 4*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-36))\/(4 + (-11)\/3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6102475\/4 or -1525620?\nAnswer: -1525620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1397 = -3*o + i, 0 = -0*o + 3*o - 5*i - 1417. Suppose 0*t - t + o = 5*s, -2*s + 190 = -4*t. Calculate the remainder when s is divided by (9\/6)\/(1\/16).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 7:42 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -230, -345?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*r + 13 = -u - 109*r, u + 3*r = 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/(o\/o**(-1\/5)))\/o*o**11)**(1\/10) assuming o is positive.\nAnswer: o**(27\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2080*q - 4*q**2 - 3431*q - 7302*q + 10*q**2.\nAnswer: 6*q**2 - 12813*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 24*c**3 - 18*c + 83. Does 17 divide k(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 - 37804?\nAnswer: -377a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 3*i + 2*i)*(2 + 3 - 6)*(0 + 2*i + 0 - 3).\nAnswer: 2*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 613*r. Let m(p) be the third derivative of -3*p**4\/8 - 1676*p**2. Give m(w(x)).\nAnswer: -5517*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -8. Let u be (-4)\/(a - 1\/(-1)). Let k(h) = -h**3 + 2*h**3 + 1 - 3*h**3 + h**2 - u*h. Determine k(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137098959 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001285687889 to seven decimal places.\nAnswer: 0.0012857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/2)\/((-7)\/(-2)). Let z = -217 + 217.06. Which is the third smallest value? (a) h (b) z (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1846 by -5057.\nAnswer: -142\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 108, 420, 922, 1602, 2448, 3448, 4590, 5862?\n\"Answer: -2*f**3 + 107*f**2 + 5*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1845, 1863, 1879, 1893, 1905?\nAnswer: 1915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44.8 + 41. What is b rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, g: 14}. What is prob of sequence pg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 146166 to the power of 1\/2, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + ((-11)\/(-1) - 0). Suppose n*t - 3*h = 3*t + 145, 93 = 3*t - 3*h. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -70*t**5 - 9153185*t**4 - 299225299660*t**3 - 534306935430*t**2 - 170974584270*t + 64116204615 = 0?\nAnswer: -65379, -1, 3\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 88553302 to the power of 1\/2, to the nearest integer?\nAnswer: 9410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.8 - -325.8. Let w = 322.1315 - g. Let y = w + -0.0744. What is y rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 316\/(-36) - 120\/540 - 155\/15*-1. Find x, given that n + 2\/3*x**2 + 50\/9*x - 8\/9*x**3 = 0.\nAnswer: -2, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135197, 270388, 405581, 540776?\nAnswer: 675973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21560 + -21403. Which is the second smallest value? (a) l (b) -1 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**3 + 112*k**2 - 117*k + 44. Give j(-29).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7*v + 20 = 0. Let z(y) be the third derivative of 1\/3*y**3 + 0*y - 3*y**2 + 0 - 1\/24*y**4. What is z(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x + 342 = 11*x. Let z(g) be the first derivative of 2*g**3 - 11*g**2\/2 - 16*g + 1. Is z(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 531*l = 59*l - 10856 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 131.\nAnswer: 17\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.996 in -0.5, -2\/11, 0.022, 1, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7645, -7648, -7655, -7666, -7681, -7700, -7723?\n\"Answer: -2*c**2 + 3*c - 7646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6717 at least -1.7292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 18, p: 2}. Give prob of sequence cc.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16916 - 746613\nAnswer: -729697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*(l*l*l*l\/(l**(-5\/4)*l)*l*l)\/l*l))\/l**4)\/((l*l**(1\/3))\/(l\/(l\/l**2))))**(1\/40) assuming l is positive.\nAnswer: l**(-23\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 4*o + 3 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2384152019 to the power of 1\/2, to the nearest integer?\nAnswer: 48828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2122 (base 7) to base 13\nAnswer: 45a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14136, 14133, 14130?\nAnswer: 14127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23743763 to the nearest integer?\nAnswer: 4873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/219, -94, -124.\nAnswer: -124, -94, 2\/219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + x + 0*x + (-1 + 3 - 4)*(-x + 0*x - x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/14? (a) -5 (b) 2\/7 (c) -1\/4 (d) -1427\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 141*k**2 - 4*k - 8. Let p(v) = -139*v**2 + 3*v + 6. Give 4*p(y) + 3*x(y).\nAnswer: -133*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35\/12682903 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.48645 to 2 dps.\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21452143 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 4 + 31*c + 9.\nAnswer: 31*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, -4 in ascending order.\nAnswer: -9, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 1 + (-6 + 5 + 3)*(5 - 3 - 4) - 1 - 3 - 1)*(13*u**3 + 4*u**4 - 13*u**3) to the form m*u**2 + t*u**3 + i*u**4 + q + o*u and give i.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66375 and 5841.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.70292 + -0.00008. Let x = q + -0.097. What is x rounded to zero decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + sqrt(7) - sqrt(7)) + (sqrt(49)\/sqrt(7)*-5)**2 - 4*sqrt(70)\/(sqrt(160)\/sqrt(4)).\nAnswer: -2*sqrt(7) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**2 - 32*w - 42. Calculate d(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + (sqrt(2736) - -1*sqrt(2736)) - sqrt(2736)) + sqrt(2736) - (sqrt(114)\/sqrt(6) + 5 + sqrt(19)).\nAnswer: -5 + 34*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*q - 297 = 76*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(81\/2) - 199796\/(-18). Round y to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 3*o = -15. Suppose -4*h + m = -91, -o*h + 100 = -5*m + 36. Solve 0 = 5*z + 2*w - h, -2*z + 5*z + 4*w - 25 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2186457 plus -12010774?\nAnswer: -9824317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2675 and 295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12901493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 13) to base 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12385?\nAnswer: 5, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -4, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + (4*(sqrt(4) + sqrt(24)\/sqrt(6)))\/(sqrt(18)\/sqrt(324)).\nAnswer: -2 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from appnaanjppaanpjajac. Give prob of sequence cjnj.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1729 (b) -1486\/3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 112 - 2\/3*o**2 + 34\/3*o = 0. Calculate o.\nAnswer: -7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -595*a - 60749. Determine q(-102).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*p + 1)*(-4*p - p - 11*p)*(p**2 + 4*p**2 - 2*p**2).\nAnswer: -96*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2959786*p**2*x**2 + 48*p*x - 2*p - 3918*x**2 + 2*x + 3 wrt p.\nAnswer: 5919572*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3*q = -21, 18 = 512*c - 510*c - 2*q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-8)*k\/((k*k**(-1\/17)*k*k)\/k*k)*(k*k**10)\/(k*(k**12\/k)\/k) assuming k is positive.\nAnswer: k**(120\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27364170827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u = -8. Suppose 0 = 2*v + 10, -99 = -2*b + v - 2*v. Suppose b = u*m + 16. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32424216 divided by -88\nAnswer: 368457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*d + 5*d + 448308. Let a = -66677 + d. What is a rounded to the nearest 1000?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(448))*-3)**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -150*t**3*z**3 + 45*t**3*z - 2492130*t**2*z**3 + 15*t**2*z**2 - 23*t**2*z - 16*t*z**2 + 2*t*z - 5*t wrt z.\nAnswer: -900*t**3 - 14952780*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 929527 is divided by 3380?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 6*b - 2. Let a(v) = 2*v - v - 2 + 5*v - v**2. Let m(j) = -3*a(j) + 2*u(j). Determine m(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 3*s**2 + 1. Let x be u(-3). Let l = x + -5. Let f be -17998 - 5*l\/(-10). Round f to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12149?\nAnswer: 12149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.05 + -6.4. Let b = -0.650168 + v. Round b to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w = 4*l - 334, -5*l - 4*w = -418. Let x = -80 + l. Suppose -x*c + 192 = -c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 3:09 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -920411 and -920410 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18988, -20424, -21868, -23320, -24780?\nAnswer: -26248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (8\/(-2))\/((-5)\/10) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76880.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6343 and -6536.\nAnswer: 41457848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6211853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*p**3 - 55*p**3 + 30*p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 36614*w - 146302. What is m(4)?\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*w - 58*w = 5860. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b32a9 (base 13) to base 10\nAnswer: 321239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.07, 0, -10, -65, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 + 49. Suppose 19*b = y + 56. Suppose -b*r - 2058 = -3*f, -f + 3*r = 4*f - 3440. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*s**3 + 38*s**3 + 3*s**4 + 180*s - 2*s**4 - 32*s**3 + 140*s**2 + 80 + 4*s**4 = 0. Calculate s.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i - i**2 + 9*i + 2 - 3*i. Let o be y(9). Suppose -2*x + o = -16. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-50)\/(-4)*(-104)\/(-65). Let h = 43 + n. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w = 42. Let q be (-4 - -7 - 0) + 0. Suppose 0 = -q*j + 2 + 13. Solve -w = 3*y - j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*x + 104. Let o = -2 - x. Suppose 0 = -3*u - 0*u + o. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14326557.2 to the nearest ten thousand.\nAnswer: 14330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118 + (4 - 28\/4)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -1.47653 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from cacneieicnaibieneii?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -5*q**4 - q**2 + 35. What is the second derivative of p(m) wrt m?\nAnswer: -120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8)\/g**42)\/(g**12\/g**(2\/25)) assuming g is positive.\nAnswer: g**(-1548\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -74\/13939?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -12. What is the second biggest value in 8, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 781 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336796456.\nAnswer: 2, 42099557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 13*i**4\/12 + 2*i. Let t(n) = -4*n - 6. Let s(p) = p + 2. Let d(w) = -6*s(w) - 2*t(w). Give d(k(h)).\nAnswer: 26*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -2*u**3\/3 + 9*u**2 + 360. Let i(a) = a. Let f(l) = -5*l. Let x(v) = -f(v) - 4*i(v). What is y(x(j))?\nAnswer: -2*j**2 + 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1153 + -384. Suppose 5*k - 1301 = -3*h, -3*k + 6*k = 4*h + q. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -1\/3, -0.5, -24?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 12:04 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3518)\/(-2 - (-142)\/15). Let k = o - -3376\/7. Find the common denominator of (-190)\/44 - 1\/(-2) and k.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -400003000 (base 5) in base 15?\nAnswer: -20d11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 8*n**3 - 3*n**2 - 2*n - 3. Let l be x(3). Suppose 4*f = -f - l. Let y be 8\/(-10)*(-4 + f). Calculate the greatest common factor of y and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/40*((-50)\/1150)\/(3\/(-1)).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m. Let s be ((-6)\/4)\/(3\/(-6)). Let t be i(s). Which is smaller: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00029621 rounded to five decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*(sqrt(4131) + -3*sqrt(4131) + sqrt(51))\/(sqrt(300)*-2).\nAnswer: -51*sqrt(17)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8 = -2*h - 3, 2*r = -3*h. Suppose -r*c + 4 = -c. Solve 2*m + c*m = 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 0.217, -4, -3, -42 in decreasing order.\nAnswer: 0.217, 2\/17, -3, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6515475, -13030912, -19546349, -26061786, -32577223?\nAnswer: -39092660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/24 - 42126\/(-8568)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/666900*-171*24\/9\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 5 + 4 = -5*t, -3*z = -4*t - 18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*sqrt(228)*1)\/(sqrt(12)*-3*-4).\nAnswer: -5*sqrt(19)\/12 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (5 + 20) - (-12 + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 6:57 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11454 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-12))\/(-3*(-2)\/(-9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, n: 5}. What is prob of picking 2 n and 2 y?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6579981 and 2.\nAnswer: 1.3159962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -107*h**4\/12 - 223*h**3 - 2*h - 101. What is the second derivative of q(l) wrt l?\nAnswer: -214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 5*p**2 - 4. Let f be n(4). What is the highest common divisor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 56769524 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + -17. Let j = q + 29. Suppose j = n + 19 - 61. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 16*m + 11. Let a(k) = -3*k - 2. Let o(y) = -33*a(y) - 6*s(y). Let w(d) = -4*d + 1. Calculate w(o(f)).\nAnswer: -12*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*t - 1790025 = 0, 12*s - 4475025 = 7*s + 5*t. Round s to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/9705 and 71\/19410.\nAnswer: 19410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*u + 40, 0 = n + u - 14 + 4. Suppose o - 4 = -l, -4*l + 6 = -l. Put 2\/5, o, n in decreasing order.\nAnswer: n, o, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*a - 433375064 + 433361960 = 0 for a.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - 95. What is the common denominator of 1\/1*194\/(-8) and -158*(2 - (-261)\/w)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*z - 57. Let y be (0 - 0)*z\/(-22). Suppose m - 2*h = 6, m - 2*m - 3*h + 21 = y. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/4*(-140)\/7. Let r = 26 + a. Which is bigger: -11\/3 or r?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1356279 is divided by 5361?\nAnswer: 5307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -338400.36 to the nearest 100.\nAnswer: -338400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 207971.3 hours in microseconds?\nAnswer: 748696680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -9. Suppose -19 + 91 = a*i. Suppose -3*d + 52 = q + i, -3*d = 3*q - 36. What is the remainder when 20 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(343) + (sqrt(343) + (sqrt(343) + 1)*3 - sqrt(343) - sqrt(343)) + (4*(sqrt(343) + -1 + sqrt(343)) - sqrt(343)*2*-6))*-6 + 2)*-3.\nAnswer: -60 + 2898*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0966 * 1606.\nAnswer: 155.1396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 42 = -5*b, -b + 13 + 21 = l. Suppose -l*d = -d. Factor d - 1\/2*x**2 - 1\/6*x.\nAnswer: -x*(3*x + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5918*p**2*w - 4743*p**2 - 1 wrt w?\nAnswer: -5918*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {t: 2, n: 7}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, r: 17}. What is prob of picking 2 f?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlqldqgdlqsddqqdql. Give prob of picking 1 d and 1 q.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49*375\/(-14700))\/((-1)\/(24\/15)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 52264, 51849, 51426, 50989, 50532, 50049, 49534, 48981?\n\"Answer: -n**3 + 2*n**2 - 414*n + 52677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + k**2 + 6*k - 2. Let u be a(4). Let v = -22 - u. Factor 2\/13*l - 2\/13*l**3 - 2\/13*l**2 + 0 + 2\/13*l**v.\nAnswer: 2*l*(l - 1)**2*(l + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbpbeptppppbpbbt. What is prob of picking 1 p and 3 t?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-64)\/(-12) - (-3)\/(-9). Suppose l*w + 54 = 404. What is the least common multiple of w and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**5 - 5178*l**4 - 10344*l**3 + 6*l**2 + 10347*l + 5172 = 0. Calculate l.\nAnswer: -1724, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11.5? (a) 0.17 (b) -2\/7 (c) 120 (d) -7 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -516067, -516142, -516259, -516418, -516619?\nAnswer: -516862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -813*s**5 - 34182*s**4 - 206388*s**3 + 543768*s**2 + 24480*s = 0.\nAnswer: -34, -10, -12\/271, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -9*o - 4. Let y(v) = v**2. What is y(f(w))?\nAnswer: 81*w**2 + 72*w + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14203, -14207, -14209, -14209, -14207, -14203, -14197?\nAnswer: -14189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 0 - (-4 + -1). Let t(k) = k**3 - 3*k**2 - 7*k + 4. Let z(s) = -2*s**3 + 7*s**2 + 14*s - 7. Let f(h) = 5*t(h) + 3*z(h). Let w be f(m). Is w < 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 209 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*f - 5*f - f - 8*f + 2 as k + l*f and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -260*j + 502. Let s be r(2). Sort s, -3, -4, 12 in decreasing order.\nAnswer: 12, -3, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*q + 77 - 245 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13949 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5822923*u**5 - 93690605*u wrt u.\nAnswer: -116458460*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4534065105 to the nearest integer?\nAnswer: 1655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12de (base 15) in base 13?\nAnswer: 1ab4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56481\/14 + 4039. Calculate the common denominator of k and 10\/(-6)*532\/(-120)*-3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 407, 380, 343, 302, 263, 232, 215, 218?\n\"Answer: v**3 - 11*v**2 - v + 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 108*u - 109*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (251 - 419 - 144)*(2*b**3 + 0*b**2 - 3*b + b**2 + b**2).\nAnswer: -624*b**3 - 624*b**2 + 936*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513721 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 41546690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + (-4 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49027102 is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 698*j = -714*j - 128, -3*j - 76 = 4*u for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 635 divided by 127.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 562*g - 106*g - 451*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o - 2 + 2 + (1 + 2 + 4)*(-2*o - 2 + 2) + (0 + 1 + 1)*(2*o - 3*o - o).\nAnswer: -19*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 159338 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.96 - -17.19. Let r = 0.23 - y. Which is the closest to -1? (a) -1 (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51190 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, 27, -2 in descending order.\nAnswer: 27, 8, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.036 - -3.136. Let s = 3 - n. What is the closest to s in -0.1, -1, -4\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68.2 - -13761.7735\nAnswer: 13693.5735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13617015.\nAnswer: 3, 5, 19, 47779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + 0.1. Let x = -0.13 - 7.87. Let i = x - -8.2. Which is the second biggest value? (a) i (b) 1\/10 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -271*h**5\/30 - h**4\/12 + 103*h**3\/3 - 1157*h**2. What is the second derivative of k(g) wrt g?\nAnswer: -1084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10*((-3)\/8)\/(18\/(-24)). Suppose -3*r = -s*f + 115, 5*f = -2*r + 2 + 113. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, c: 2}. What is prob of sequence uu?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 0, -7, -16, -27?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*n - 104 + 39 + 28 + 31 as x*n + j and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -116.54 + 3.04. Let z = u - -114. Sort z, 5, 0.1, -4.\nAnswer: -4, 0.1, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2728 - -3395. List the prime factors of l.\nAnswer: 3, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 68*l - 4948 = -x, -19*l + 23*l = -4*x + 324 - 48 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-8))\/(306\/(-612))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 2*i**2 - 3*i + 1. Let y be u(2). Let a = y - -9. Let z(r) = 4*r**2 + 5*r - 9. Let l(v) = v**2 - 1. Let x(s) = -5*l(s) + z(s). Calculate x(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -19.442607.\nAnswer: 7.7770428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or 17?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60831656?\nAnswer: 2, 7603957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (4 - 0) + 0 + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85*p**3 - 33*p**2 - 1757.\nAnswer: -255*p**2 - 66*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96236 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 0 + 3. List the prime factors of (h*-4)\/((-4)\/20).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2\/4 + 1695*c\/4 - 31705\/2.\nAnswer: 5*(c - 34)*(c + 373)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*j + 111. Suppose 61 = b - j. What are the prime factors of b?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -141, -82, 73, 372, 863, 1594?\n\"Answer: 8*w**3 + 3*w - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 6)*(-c**2 + 1 - 1) + c**2 - 2*c**2 + 2*c**2 - 4*c**2 - 2*c**2 + 5*c**2 + (4 - 3 + 1)*(-2*c**2 + 0*c**2 + 4*c**2))*(-3*c**3 + 3*c**3 + 3*c**3).\nAnswer: 18*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2105630, 4211123, 6316482, 8421707?\nAnswer: 10526798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39a77 (base 16) to base 15.\nAnswer: -49e86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5158776 to the power of 1\/2, to the nearest integer?\nAnswer: 2271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 6. Let q = -0.9 - -0.4. Let g = 0.07 + 0.93. What is the second smallest value in g, z, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.29 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 322, 326, 332, 340, 350, 362, 376?\n\"Answer: l**2 + l + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26675 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -7*k - 3*b - 22, 19 = -3*k + 4*b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 22. Let f be r(18). Let k be ((1 - 3)*41\/(-2))\/1. Suppose 5*m = k - 1. Solve -2*w + 3*p = 4, 3*p = 4*w - m + f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31119.\nAnswer: 3, 11, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 37, 0.16, -105?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**6\/120 - 2*u**5\/15 - 7*u**4\/12 + 2*u**3 - 711*u**2 + u - 2. Give w(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, 298, 0.2, -0.3 in descending order.\nAnswer: 298, 0.2, 2\/23, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**4\/24 + 5*o**3\/6 + 6*o**2. Let h be r(7). Let z(a) = -2*a**2 - a + 2. Calculate z(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86784520 - -0.3488?\nAnswer: 86784520.3488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.04, -5, -24?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4853600 is divided by 9072.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12)\/15 + (-1390)\/(-50)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 524606295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 50, 54, 44?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-12))\/((-5)\/3)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**6\/60 - s**5\/5 + s**3\/3 + 20*s**2. Let v be j(6). Which is the fourth biggest value? (a) v (b) -4\/5 (c) -5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbvlblxvlvbvbvlvbv. What is prob of picking 2 b and 1 l?\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2000111002 (base 3) to base 16\nAnswer: 9b27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2218856060.\nAnswer: 2, 5, 2297, 48299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -7) + (-14 - -20).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 + -3 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (4 - 7) - 1 - 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 12\/25 of a gram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00027247 rounded to six decimal places?\nAnswer: 0.000272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301 = -18*s + 85. Is -12 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 656, 1263, 1868, 2471?\n\"Answer: -s**2 + 610*s + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 6*w**2 - 5*w + 4. Let i be -4*((-5)\/4 + 0). Let u be s(i). Let b be (49\/14)\/(3\/u). Is b greater than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1300020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h + 4. Let o = -81 - -86. Let y(b) = b + 1. Give o*y(t) - n(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 14*f - 9*f + 6*f**2 - 5*f as j + t*f + i*f**2 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -839, -5269, -12647, -22967, -36223?\n\"Answer: u**3 - 1480*u**2 + 3*u + 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*z = 22*z + 4020. Calculate the highest common divisor of 469 and z.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41336 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(4\/3)*l)\/(l**21*l))\/(l*(l\/((l**(-3\/2)*l)\/l))\/l)**(1\/3) assuming l is positive.\nAnswer: l**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b**(-1)*b*b)\/b))**(-46)*b**0\/(b\/b**(2\/5)))\/((b**(-2\/7))**(-32)\/(b**1)**(-42)) assuming b is positive.\nAnswer: b**(-1811\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 4)*(-4 - -5). Let q(i) be the first derivative of i**2 - 1. Let n(g) be the first derivative of -g**2\/2 + 433. What is d*q(t) + 9*n(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 148?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 555564534*d**2 - 109171472?\nAnswer: 1111129068*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718694533?\nAnswer: 17, 42276149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -19629*n**2 - 6*n + 5. Let w be k(1). Round w to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**(-3)*l*l))**(-44)*(l*l**(-12))\/(l**(-11)*l))**(-3))**(-2\/25) assuming l is positive.\nAnswer: l**(-534\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (18\/24)\/((-270)\/(-144))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3321243402 - -2?\nAnswer: -3321243400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 247, 419 in decreasing order.\nAnswer: 419, 247, 0","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3147 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = c + 4*n, c = 4*n - 5*n. Let x be 2 + c - (-6)\/(-2). Solve 0*m - x*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + a**3 - 6*a**3 - 4.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 42643.37387 to the nearest 100.\nAnswer: 42600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 0, -a + 12 = 861*h - 865*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, u: 7}. What is prob of picking 1 u and 2 r?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, u: 1, n: 1, l: 1, o: 4}. What is prob of sequence un?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9203*a**2*j - 8395*a**2 wrt j.\nAnswer: 9203*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-3290)*8)\/(-6*(-27)\/(-567))\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6060359 to the nearest integer?\nAnswer: 2462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 - 18*o**3 - 2*o**4 + 96 - 192 - 14*o - 30*o**2 = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 203134104215263070.00000039 + -203134110988610294. Let d = -6773347157 - c. Let f = -67 + d. Round f to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 0.2, -3\/2, 3\/8, 53?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/(-33) + -3 + (-4472)\/1144?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = -2*h, 4*w = h + 2*h + 12. Let y(k) be the third derivative of -1\/90*k**5 + 2*k**2 + 0*k + 0 + 0*k**3 - 1\/180*k**6 + h*k**4. Factor y(x).\nAnswer: -2*x**2*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143\/429*(-54)\/3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d + 5*d - 3*d - 15*d**2 + 13*d**2.\nAnswer: -2*d**2 - 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a millimeter in micrometers?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -15.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5778 is divided by 5766?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 8 + 20 + -5 + (-12 - -14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1175.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1308 * 0.2.\nAnswer: 261.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, r: 1, g: 1, s: 1, v: 11, p: 2}. What is prob of picking 1 r, 1 g, and 1 i?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -201006?\nAnswer: 1\/201006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*y - 50 + 51 + 28*y in the form p*y + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*r - 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2 (b) -5 (c) -1 (d) -3\/711626\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 48. Let n(x) = -x + 2. Determine -2*n(p) + s(p).\nAnswer: p - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4695 - -4705. Let m = 2 + 0.5. Let f = m - 2. Sort p, -0.1, f.\nAnswer: -0.1, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 266?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 3*x - 12. Let k be (-5)\/(3\/(9\/x)). Put 3, 1, k, 2 in descending order.\nAnswer: k, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/6)*g*g*g\/(g\/(g*g*g*g**22*g)*g)*g*g*g assuming g is positive.\nAnswer: g**(179\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w. Let m(f) = -f**2 + 13*f - 25. Let l(p) = m(p) + 2*x(p). Let t = -206 + 219. Determine l(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 3*d + 40 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -5\/4, 1\/4, 5, 750?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + sqrt(27).\nAnswer: 3 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**5\/3 + 163583*p**4\/3 + 7965112*p**3\/3 - 2165086*p**2\/3 - 7965116*p\/3 + 2001503\/3 = 0. Calculate p.\nAnswer: -40847, -49, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvvhb. What is prob of picking 1 v and 1 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 531339182 to the power of 1\/2, to the nearest integer?\nAnswer: 23051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 10:14 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 157210 to the power of 1\/2, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 106*x**2 - 36*x - 71. Is v(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3 + (sqrt(1900) - (sqrt(1900) + (sqrt(1900)*-2*-2 - sqrt(1900))))))**2.\nAnswer: 1620*sqrt(19) + 153981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 5. Let f = 1.1 - g. Let j = -0.1 + 0.1. What is the nearest to f in 2, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 89181143 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/12 + 16\/24. Which is the third biggest value? (a) d (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*y - 93 = -b, 41 = 3*y - 5*b. What is the greatest common divisor of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8721?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2085 and 345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + -1*sqrt(7))**2.\nAnswer: 30*sqrt(7) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 491179 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -4, 0.5, -7\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2001122 (base 3) in base 14?\nAnswer: -794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15473*d + 15293*d - 30842*d.\nAnswer: -76*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*b, 6*f - f - 14 = 3*b. Suppose -5*o = -2*s - 124, -s - f*s = 3*o - 62. Which is smaller: 23 or o?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 0.8, -0.1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -4233646?\nAnswer: 4233651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 53 - 23 = -4*i + 13*p, 3*p = 12 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/3 in -7, 0.2, 3, 0.6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 9*c**2 + 2*c - 1. Let k be p(1). Suppose 0 = -3*r - 0 - 15. Let l = 7 + r. Solve l*h = k - 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38571, -38575, -38579, -38583, -38587?\nAnswer: -38591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -19. Which is the smallest value? (a) q (b) 1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/3 - 442*i**2\/3 - 6455*i\/3 - 21350\/3.\nAnswer: -(i + 5)*(i + 10)*(i + 427)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 e, and 1 m when four letters picked without replacement from mmxmieeieqqqmxqxmdxm?\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -91*x**3 + x + 3509. Let q(g) = g**2. Determine q(y(r)).\nAnswer: 74529*r**4 - 546*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*v = v. Suppose -8*k + 260 + 52 = v. What is the remainder when k is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 11 + 3. Suppose 3*u = -3*b + 30, -u - 2*b + f = -3*b. Solve -2*n - 17 + u = -a, 4*n + 7 = -a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1115324 (base 7) to base 9.\nAnswer: 231272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-50))\/((-5)\/(-25)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 182 + -149. Suppose 15*y - 91 = 404. Are d and y unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 949939?\nAnswer: 949939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 6*u + 5*s + 44, 5*u + 4*s = -127. Suppose 114 = 27*c + 816. Is u != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -119962 + 23392534\/195. Calculate the common denominator of 47\/65 and p.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -65254 - 227?\nAnswer: -65481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7517 and 0.1?\nAnswer: -751.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -16 + (-10)\/5 + 1. Let y = -2 - l. What is the highest common factor of 6 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -3*j - 26. Suppose 4*v - 34 - j = 0. What is the least common multiple of v and 34?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -179 - -311. Suppose 2*f - 6*f = -p. Let m = f - 20. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 1. Let i = 3 + -1. Suppose -i*g - 6 = -5*g. Let c be n(g). Is c less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -19. Let i = p + -4. Suppose -3 + 3 = i*d. Solve 2*v - 4 = -0*v - 2*k, -v - 4*k - 1 = d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1628 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-50))\/(14\/(-210)*4).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 0 - 60\/6. Let c = k + 12. Suppose 5*q = 2*w - 4*w + 570, -c*w = -20. Is q a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -10\/31, 76\/3, -1\/4, -2, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 1009 - 1171 + y**2 + 162 - 34*y**3.\nAnswer: -34*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + -17 + 12 + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -4\/5*n**3 + 0*n**2 - 5*n - 1\/50*n**6 - 9\/50*n**5 + 0 - 3\/5*n**4. Factor c(a).\nAnswer: -3*a*(a + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9980315308 and -8.9?\nAnswer: 9980315299.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*b + 1272 = 28*b - 185*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 281*s + 684. Determine d(-7).\nAnswer: -1283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 390853751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 2 + 18. Let r = -7 - n. Let a be 6\/2 - r\/3. Which is bigger: 5 or a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*v - 19 - 17 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1093, 1081, 1083, 1099, 1129?\n\"Answer: 7*m**2 - 33*m + 1119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93.2 + -93. Which is the third smallest value? (a) 2 (b) -8\/11 (c) s (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 5:02 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 212\/47 at most as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-2 + 7 + -1 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fgf when three letters picked without replacement from oogdoggvfofgvo?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 18*j**2 - 15*j - 9. Is f(-4) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnvn. What is prob of sequence nm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 at least as big as -65.1386?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 7*q + 6. Let f(b) = 5*b + 19. What is the lowest common multiple of 4 and f(q)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -8, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.11283836 - -0.113. Round k to 6 dps.\nAnswer: 0.000162","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**32*l*(((l\/(l\/(l\/l**(-34))))\/l)\/l)\/l)**(-37))**(-8\/11) assuming l is positive.\nAnswer: l**(19240\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.00672 litres to millilitres.\nAnswer: 96006.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9703.\nAnswer: 31, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n + 38 - 38.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -140*c**4 - 4*c + 18 wrt c.\nAnswer: -1680*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 65, 72, 81, 92?\n\"Answer: w**2 + 4*w + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31314 by -1842.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5481177 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.10324 times -3\nAnswer: 0.30972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 18}. What is prob of sequence rv?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 14*k + 3. What is the smallest value in k, -1\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 259\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y + 1848*p = 1847*p + 66, 0*y - 5*p + 78 = 3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3994357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 + (-57)\/9)*-3. Suppose w + 2*o = -i, -o - 8 = -7*w + 6*w. Solve 0 = 3*v - 3*l + 6, 3 = -w*v - 3*l + 9 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 17\/4 of a millisecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**6 + 4*k**2 - 9. What is the second derivative of x(r) wrt r?\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151998\/113 at most 1345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1966568*b**5*z**2 - 425821*b**2*z**2 - b**2*z wrt b?\nAnswer: -117994080*b**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**3*d**8*(((d\/((d*d*d\/(d\/(d**(-1\/11)\/d))*d*d*d)\/d))\/d)\/d)**(1\/19))**(-31\/5))**(4\/9) assuming d is positive.\nAnswer: d**(-150164\/9405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 27 times 136\nAnswer: 3672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*j + 115 - 34, -5*p = -10. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/(-560)*-8 - -5 - (-21)\/(-6)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.139 in 3216, -7, 2\/3, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1037509085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18627549?\nAnswer: 3, 6209183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -10321109, 0, 5 in decreasing order.\nAnswer: 5, 0, -10321109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21501895 is divided by 4300368?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 152*g - 340*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13765 + 8437950\/613. Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**4 - 872*d**3 - 56136*d**2 + 8482816*d - 189267968 = 0.\nAnswer: -256, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 671086.\nAnswer: 2, 13, 53, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 59197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*j - 3, 0*j - 29 = -4*j + v. Suppose -165 = -j*y + 3*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 88, 20 in descending order.\nAnswer: 88, 20, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -35. Let o = 21 - 6. Suppose 0 = z + 4*z - o. Sort -5, z, c in increasing order.\nAnswer: -5, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19980*g**2 + 0 - 2 + 2 - g**3.\nAnswer: -g**3 - 19980*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -219 + 235. Suppose a*m = 27*m - 4554. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7136, -6941, -6756, -6581?\nAnswer: -6416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(34)\/sqrt(2)*-6 - ((sqrt(85)*-4 + sqrt(85))*-1)\/sqrt(5))*5)**2.\nAnswer: 34425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*v - 8*v + 86 - v + 99 - 9*v.\nAnswer: -v + 185","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 u when three letters picked without replacement from aeuuaueeaeruee.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30207*l**3 - 106*l**2 - l + 20?\nAnswer: 181242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000090383 rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 5. Let l be (2\/4)\/(i\/18). Suppose -5*h = -0*f + 4*f, l*h = f + 17. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by 175.\nAnswer: -19\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1122210200 (base 3) to base 6\nAnswer: 411113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3215 + -3191. What is the greatest common factor of 13344 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 94, -2 in increasing order.\nAnswer: -2, 5, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.19*-1.9.\nAnswer: 0.361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 948, 944, 938, 930, 920, 908, 894?\n\"Answer: -s**2 - s + 950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16820350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*(sqrt(175) + 0) + (-1 + (sqrt(175) + 1 - sqrt(175)))*1)**2 + 5.\nAnswer: 2805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g. Suppose -2*v + 149 = 49. Suppose -2*d - 14 + v = 0. Let o(j) = d*j - 3*j + 4*j. Determine f(o(b)).\nAnswer: 38*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h*t**4 - 259*h*t - 2*h + 1104*t**4 wrt t?\nAnswer: 36*h*t**2 + 13248*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 19*n + 47*n. Solve 0 = 3*h - y + 10, 0*y = 3*h + n*y + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1931426798 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 + -61. Suppose 0 = -q*u - 0*u + 44. Factor 20*g**2 + g - u*g**4 + 7*g + 294*g**3 - 4*g**5 - 282*g**3.\nAnswer: -4*g*(g - 2)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -1 + (10 - 17 - 10 - (-49 - -17))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -80 - -10. Let m be 1\/(-5) - (-6)\/t. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by -239.\nAnswer: 42\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49089, 98084, 147079, 196074, 245069, 294064?\nAnswer: 343059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 7*k**2 + 6*k + 5. Let i be m(-6). Let h be (-6)\/15 + 2*6\/i. Solve h*n = -2*w, 0*w = 2*n + w + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188135 is divided by 3357.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*s - 6 = 4*h, -4*s - 60 = -4*h. Suppose h*a - 164 = 28. What is the highest common factor of a and 392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77*32\/(-1056))\/(70\/(-6)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (-3)\/((-18)\/22). Sort 0.5, x, -3 in ascending order.\nAnswer: -3, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-10) - (4 + 210\/(-25)). Suppose 4*b = q*g - g + 68, g - 47 = -3*b. Suppose 0 = 4*t - 32 - 8. What is the smallest common multiple of t and b?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*w + 3205 = -1640, -2*w = -u + 2405. What are the prime factors of u?\nAnswer: 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 13*a = -33 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -2 + -1 + 24*(-19)\/(-114)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (6 + -4 + -4 + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454667?\nAnswer: 307, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2789434 is divided by 33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*j + 2*j**3 + 53*j + 6*j**4 + 3*j**2 to b + k*j + u*j**2 + s*j**4 + y*j**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilogram in milligrams?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 9*q**2 - 24*q + 20. Determine o(9).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 28543\nAnswer: 28550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 231769, 231773, 231779, 231787?\n\"Answer: p**2 + p + 231767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -125*c + 66*c - 4 + 57*c + 1. Let b = -12 - -6. Give y(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -2*x - 5*g, x + 2*g + 42 = 3*x. Let t(z) be the first derivative of 0*z - 8\/3*z**3 - x + 5*z**2. What is the second derivative of t(j) wrt j?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 4*p**2 + 6*p - 7. Let x be r(3). Let k be 6\/(-18)*(1 - 25). What are the prime factors of 4\/k + 153\/x?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 5*t - 1. Let h be d(6). Suppose 2*x - 6 = -4*n, 3*n - 6 = h*x - 60. Solve -5*a = 6 + x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1659853.\nAnswer: 13, 127681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**4\/4 - 8*t**3\/3 - 9*t**2\/2 + 10*t - 1. Suppose 20 = 2*o + 2*o, 2*g = -3*o + 1. Does 7 divide y(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**5 + p**3 - p**2. Let v(b) = 10*b**5 - b**4 + 6*b**3 - 8*b**2 + 2*b. Let m(n) = -18*a(n) + 2*v(n). Factor m(z).\nAnswer: 2*z*(z - 2)*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 47*w**2 + 8*w. Let a(h) = -4558*h**2 - 774*h. Let r(o) = -4*a(o) - 387*b(o). Let t(d) = 2*d. Give r(t(j)).\nAnswer: 172*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 10149217?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 5*a - 2*a**4)*(0*a - 2*a + 4*a + (1 - 5 + 2)*(a + 3*a - 2*a)).\nAnswer: 4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 96 = -3*h + 10*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 5) to base 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l**2 - 11*l**2 - 3*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 560062 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**7\/3360 - t**6\/720 - t**5\/480 + t**3\/3 + 4*t**2. Let z(n) be the first derivative of d(n). Let z(m) = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 y when four letters picked without replacement from jyyyyjjyyyj?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 693191.4 microseconds to milliseconds.\nAnswer: 693.1914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2 - 7*n + 13. Let h(g) = -7*g**2 - 15*g + 25. Let t(a) = -5*d(a) + 2*h(a). Let v be t(-7). Which is bigger: v or -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(170) - sqrt(170))*-4)\/(sqrt(60)\/sqrt(24) - sqrt(10)) - (sqrt(4114)\/sqrt(2) - (0 + sqrt(833) + sqrt(17))))**2.\nAnswer: 6137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + 47. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-6 + 5) - (30 + -5 + 4)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 7. Let k = p + -6.00024. What is k rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.511464 - -368?\nAnswer: 369.511464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 13. What is the third derivative of n**q - 3 + 3 + 3*n**2 + 0 wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3\/11 (b) 1\/8 (c) -0.1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*l + 3444, 2*n - 3*l = 4*n - 1700. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v**5\/2 + 11553149*v**4 + 9533910248337*v**3 - 59927768530632*v**2 + 204299573474367*v\/2 - 24515955946881 = 0 for v.\nAnswer: -1650453, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288) - (sqrt(288)*-3 - sqrt(288)))\/sqrt(9))\/sqrt(4))**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 11200000010?\nAnswer: 11200000020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110)\/(-33)*(-6)\/(-4)*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -25, -64, -131, -232?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x + 23. Calculate j(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*j + 2*y, 0*y = -3*j + 2*y + 29. Suppose 7*s = j*s - 88. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 8 = -u + 22, 4*u + 5*t = 23 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 42024*t**4 + 53*t + 84043*t**4 - t**3 - 42017*t**4 as i*t + p + k*t**3 + n*t**2 + a*t**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*c + 2*c - 1, 10 = 5*v - c. Let m be ((-10)\/6*(-3)\/v)\/1. Solve o - 4*o = -t - 17, 2*t - 21 = -m*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 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 r = 5 - 5.25. Let x = r - -0.250034. What is x rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c - c - 2*c)*(-2*c**3 + 1 - 1) - 3*c**3 + 6*c**4 + 3*c**3 to the form l + m*c**4 + q*c**3 + n*c**2 + x*c and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -363716 divided by -2302\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - 0 - ((-18 - 2) + 33 + -15)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -1450*o + 1462*o. Let r(q) = -q**2 + q + 1. Let s(l) = -9*l**3 + 4*l**2 - 4*l - 4. Give o*r(f) - 3*s(f).\nAnswer: 27*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*r)*(-20154 + 15565 - 24886 - 5886 - 29002).\nAnswer: -128726*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + 0*k**2 + 0*k**2)*(1 - 1 + 1)*(-4*k + k + 0*k).\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 3*g**3 + 10*g - 2*g + 7*g**3.\nAnswer: 4*g**3 + 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100000100111000 (base 2) to base 8.\nAnswer: -140470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.8 - -8.95. Let t = 5.1385 - u. Round t to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2962037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + ((-3 + sqrt(605))*3)**2 - ((0 + sqrt(605) + 2)*-6)**2) + -4.\nAnswer: -16406 - 2178*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 - -59 - (-1 - 4 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2197\/6 - -1103\/3. Let m(t) be the first derivative of 1 + 0*t**2 - u*t**6 + 0*t**4 + 0*t + 0*t**5 - t**3. What is the third derivative of m(b) wrt b?\nAnswer: -540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.34 and 5?\nAnswer: 41.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -61*m + 5. Let b(g) = -120*g + 11. Let r(y) = 3*b(y) - 5*j(y). Does 24 divide r(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**4 + y**3 - y. Let q(a) = 4*a**4 - 2*a**3 - 3*a. Let h(v) = -2*d(v) - q(v). Find the second derivative of h(s) wrt s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/4, -2\/5, -1\/14, -4?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 49. Solve -h = -2*v + a, -2*h - 5*v = -3*h - 26 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 1:39 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345 = n + 3*v - 1537, n + 4*v = 1190. Let d = n + -670. Is 33 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2948845275.\nAnswer: 3, 5, 13105979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (42\/14)\/((-6)\/(-4)). Find the second derivative of -16*k**5 + r*k**5 - 10*k + 3*k wrt k.\nAnswer: -280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 + q. Let d be l(-2). Calculate the greatest common divisor of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6 + 22132\/12 + 12\/(-9).\nAnswer: 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -19*l**2 + 17*l - 2. Let m(t) = 76*t**2 - 67*t + 9. Let n(x) = -9*b(x) - 2*m(x). What is the second derivative of n(v) wrt v?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 - -2)\/((-9)\/(-6)). Let g be 10\/8*(w + 0). Let a = g + 12. Calculate the highest common factor of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-217)\/(-62))\/((-3)\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -135, -39, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 + n + 1. Let t be v(-3). Suppose -f - 4*u = -6*f + 163, f + 3*u - t = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.29 * -0.5.\nAnswer: -0.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*s - 1. Let k be (-8)\/204*6*s. Let i = -6808.7 + 6809.7. Is k at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 i when four letters picked without replacement from {g: 6, t: 6, i: 5, s: 1}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -240*l**5 + 645*l**3 - 22*l**2 + 16*l - 19?\nAnswer: -14400*l**2 + 3870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*a, u + a + a + 4 = 0. Suppose u*f - 32 = -4*f. Suppose -24 = -3*n + f*b + 40, -b = 4. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.531676 + 1.\nAnswer: 2.531676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-5*sqrt(130)*-1 + sqrt(130) - sqrt(130))\/((sqrt(10)*2 + sqrt(10))*5) + 4 + 5).\nAnswer: -36 - 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -74*b - 208. Suppose 49 + 21 = -5*i. What are the prime factors of a(i)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 553730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3663545799 is divided by 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 2.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/11)\/(z*z*(z*z\/(z\/z**11)*z)\/z))\/(z**(2\/11)*(z\/(z\/z**(-1\/3)))\/z*z) assuming z is positive.\nAnswer: z**(-463\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -248*r**2 + 12*r + 51. Let d be k(-6). Let j = -3910 - d. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3845 divided by -769.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 2)*(-6*z + 0 + 5 - 7 + z - z + 3*z + (0*z + 2*z - 3*z)*(4 - 6 + 3)).\nAnswer: 20*z + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14540537?\nAnswer: 11, 1321867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42 - i - 65*i**2 - 3*i - 45 + 10*i - 5*i to k*i + h*i**2 + n and give h.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.79 + 60854424289?\nAnswer: 60854424288.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1 + (2 + 1 - 5)*(2 - 3 - 1))*(2*q + 0*q - q + (-q + 0*q - q)*(-17 - 10 - 110)).\nAnswer: 1375*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 145*v + 622. List the prime factors of h(-3).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354782645?\nAnswer: 5, 7, 10136647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 + 35 - 26 + 3 + 33*r**2 to the form q*r + s + y*r**2 and give y.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 - 202085\/(-117) - 4\/18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j**3 - 6*j**2 - j + 6. Let h(q) = -q**3 + q**2 - q - 1. Let b(f) = -23*f - 1563. Let y be b(-68). Determine y*l(t) + 6*h(t).\nAnswer: -t**3 - 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 1:08 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - s**2 - 97*s**3 + 71*s**3 + 74*s**3 - 8.\nAnswer: 48*s**3 - s**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 683588 * -38.\nAnswer: -25976344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(2)*1*2 + sqrt(24)\/(sqrt(160)\/sqrt(5) + sqrt(32)).\nAnswer: 9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1844\/5, 3, 4 in ascending order.\nAnswer: -1844\/5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -5*i**4\/2 + 62*i**3 - 2376*i**2\/5 + 3872*i\/5 + 329. Find a such that l(a) = 0.\nAnswer: 1, 44\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 5*u + 308, 0 = -a + u + 70 + 22. Suppose a = 4*t - 24. Calculate the highest common factor of t and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -175.3 to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (293\/(-2))\/(5\/(-10)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 262, -4, 23 in ascending order.\nAnswer: -4, 23, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11130*z + 11457*z = -17331 for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37860?\nAnswer: 2, 3, 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -5*h**6\/6 - 148*h**5 - 6270*h**4 + 169430*h**3\/3 - 321475*h**2\/2 + 177870*h - 4077. Solve u(c) = 0 for c.\nAnswer: -77, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 5. Let p be (9\/(-6) - -2)*6. Suppose 3*a + 3 = p*g, -4*g + a = -g - 7. Solve 3 = g*r - h + 5, u*h = -2*r - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31252 - -3?\nAnswer: 31255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 4*c**2 - 7*c - 3. Suppose -4*y + 2*q = -10, 0 = 5*y + q + 9 - 4. Suppose -18*v + 13*v - 25 = y. What is the units digit of m(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -45*z + 50*z - 32, 3*h - z = -4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -378 - -380. Calculate the lowest common multiple of r and 1440.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4*c + 21, -159*q + 16 = -155*q + 4*c. Sort q, 12\/59, 2 in descending order.\nAnswer: 2, 12\/59, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 - -0.1. Let o be 16\/(-40)*(-75)\/258. Let k = -101\/129 + o. Which is the closest to k? (a) x (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5084449*d*r**3*z**2 - d*z**3 - 14919*r**3*z**2 - 169*z**3 wrt d?\nAnswer: -5084449*r**3*z**2 - z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (1 - 10)) + (-134 - -123) - 6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12997 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 1. Suppose 0 = -2*o + 3 - 1. Let h(c) = -c**2 + c - 2. What is o*h(g) - 3*s(g)?\nAnswer: 2*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38622 + 82341. Is x a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2. Let n be i(-2). Suppose -5 = -n*r + 19. Solve -4*f + 6 = -r*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5 + 0 = 0. Suppose -8 = -q - t. Suppose 2*s + 119 = 3*g, q*g - 64 = 4*s + 45. What are the prime factors of g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3 + 4. Suppose -3*v = 3, 2*v + 0 = -2*s + 2. Let p be (-1)\/((r - s)\/180). Round p to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10763.47 and -3.\nAnswer: -32290.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3324 a factor of 27316632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*c - 33 = -234*c - 3*y, -5*y - 15 = 5*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 2 = 3*k. Suppose 5*d = k*u + 43, 3*u - 4*d + 0*d = -41. Let t = 202 + u. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130 - -24403442441?\nAnswer: 24403443121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**6\/120 - o**5 - 149*o**4\/24 + 128*o**2. What is the second derivative of f(m) wrt m?\nAnswer: -6*m - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 5) in base 7?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 4:06 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -15. Find the third derivative of -6*d**4 + d**4 + 3*d**2 + d**n wrt d.\nAnswer: -120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1957 is divided by 642.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**2*d**2 - 1828*c**2*d - 5*c**2 - 147*c*d**2 - 10*c*d wrt c?\nAnswer: -4*d**2 - 3656*d - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g**4)\/(g**8\/(g*g*g**5))*(g*g**2\/g)**(-7\/3)\/(g\/(g\/((g\/g**1)\/g))*g*((g**(5\/4)*g)\/g*g)\/g) assuming g is positive.\nAnswer: g**(-83\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 920319 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1327745, 1327720, 1327685, 1327640, 1327585, 1327520, 1327445?\nAnswer: 1327360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4)*b*b\/(b**(1\/6)*b)*b*(b**0)**11 assuming b is positive.\nAnswer: b**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/5975 and -13\/15.\nAnswer: 17925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n - 6. Let y(w) = w - 1. Let z(r) = -q(r) + 5*y(r). Let g(h) = 15*h + 27. Let b(u) = -g(u) + 6*z(u). What is the first derivative of b(j) wrt j?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) + sqrt(88) + -3*sqrt(88))*6)\/(-2*sqrt(72) - sqrt(72)))**2.\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1386, -1420, -1480, -1578, -1726, -1936?\n\"Answer: -2*i**3 - i**2 - 17*i - 1366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/45 and -23\/106815?\nAnswer: 320445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6559 - 2078?\nAnswer: -85d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 16 = 5*v, -4*o - v = -4*v - 4. Let c be 489\/33 + o\/(-11). Suppose -6*m = -m + 5*f - c, -3*m = 4*f - 10. Solve 3*g - g = m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73 - -110. Sort 3\/2, 1\/2, n, -2.\nAnswer: -2, 1\/2, 3\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or -31874?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 66*k - 148*k - 525*k + 2*k**2 + (-3*k + 5*k - k)*(-5*k + 3*k + 3*k) as l*k**2 + p + q*k and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*d - 5376, 4*r - 5726 = 5*d + 15799. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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 is the third root of 5860 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3213 and 64719?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2964 - 2962.599. Let n = -1.4 + z. Let f = 0.00100074 - n. What is f rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5170 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 27\/12 + 2\/(-8). Let r = a + -1. Suppose 0 = 5*v - u - 3, -6 = -13*v + 9*v - u. Calculate the remainder when v is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/k**9))\/(k\/k**(1\/9)*k))\/((k**(-8\/3)*k)\/k*k*k**(-18)\/k) assuming k is positive.\nAnswer: k**(241\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/3 - 3*m**2 + 25*m\/3 + 11.\nAnswer: -(m - 3)*(m + 1)*(m + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/16*(-75024)\/40638.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 599.004kg?\nAnswer: 0.599004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 15 = -0*c. Suppose -c*t - t = 0. Solve 0 = -5*d + 4*a + 18, t*d - 2 = -4*d - 3*a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -2. Suppose -2*p + 4*t = -24, 3*p - p + 5*t + 12 = 0. Let h be p\/(-16) + 2\/8. Put h, g, -5 in descending order.\nAnswer: g, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8475634l?\nAnswer: 847.5634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + -1 - sqrt(17)) + (sqrt(68)*-2)\/sqrt(4))**2.\nAnswer: -6*sqrt(17) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*s - 6 + 2, 20 = -5*r + 5*s. Which is bigger: 20 or r?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(875))\/sqrt(5))**2 + 3 + sqrt(21)\/sqrt(3)*-5 + (sqrt(35)\/sqrt(5) + 4)**2.\nAnswer: 3*sqrt(7) + 2826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 6. Let z = n + -5. What is the second smallest value in z, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 19. Which is the third smallest value? (a) -2 (b) s (c) -0.5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2280*o**2 - 171. Let b(i) = -69*i**2 - 4*i + 28. Let y(m) = 4*m**2 + m - 8. Let p(u) = b(u) + 4*y(u). Calculate 4*k(c) - 171*p(c).\nAnswer: -57*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 209*x**2 - 2508*x - 3. Calculate a(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 928.53 rounded to 0 dps?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2. Let g(m) = 8888*m**2. Determine j(g(l)).\nAnswer: -78996544*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3964 + -8154. Round q to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -205\/7. Let y be (6\/(-21))\/(6\/(-854)). Let n = -39 + y. Put k, -2, n in descending order.\nAnswer: n, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from {a: 6, v: 7}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22247 = 14*p - 15*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 60429 and -3\/35 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-7) + (-2)\/7. Let b(c) = -6*c + 0*c - 4*c - c. Determine b(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16388.674977 - -35.21.\nAnswer: -16353.464977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j - 22. Let x be v(5). Let q be (-14)\/(-6) - 2*(5 - x). Put 5, q, 4 in increasing order.\nAnswer: q, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sy when two letters picked without replacement from {r: 6, s: 1, n: 7, a: 2, y: 3}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, 5, -4, -106 in increasing order.\nAnswer: -106, -4, -3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 912 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 4*h - 1. Let o(v) = -v**3 + 664*v**2 + 28*v + 750. Let g(d) = -14*c(d) + 2*o(d). Differentiate g(k) with respect to k.\nAnswer: -6*k**2 + 2684*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93 - -5) + (-158 - -214)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 b when four letters picked without replacement from tbtttttttttt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2829*-26790.\nAnswer: 75788910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/220 and -79\/1080156.\nAnswer: 5400780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-128)\/72)\/4 + 1983\/27. Is u > -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/(-2 - -8)*(13465 + -1 + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51951477527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 12?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13101 - -12292. What is the biggest value in -1, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 17*b**2 - 30*b - 301. Is n(-33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.56 and -2.2.\nAnswer: -10.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-20))\/(427\/(-25620)). Let p(a) = 6*a - 11. Let x(t) = -5*t + 10. Let r(f) = -4*p(f) - 5*x(f). Calculate r(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42804 divided by 1044?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*r + 196*r = -144*r + 33005. What is the second biggest value in r, -3\/5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -8. Let v(w) = -5*w + 45. Let x be v(8). Suppose -2*h = -i - x, -z*h = -4*i + 4 - 29. Let f(d) = d**3 + 7*d**2 + d + 8. Give f(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -35*r**3 - 2125*r**2 + 28330*r - 7920 = 0.\nAnswer: -72, 2\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66494*l + 73842.\nAnswer: 66494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2101326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and 0.1019?\nAnswer: 1.1209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 310 + 58. Let m(i) = -3*i + 1. Calculate the remainder when x is divided by m(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 56*t**2 + 25*t - 1425. What is s(56)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjde when four letters picked without replacement from {j: 1, v: 1, d: 1, g: 1, e: 1, w: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*s + 109*s + 400 = 0. Solve -5 = -3*d + 3*x + 1, -s = 5*x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3\/11 - 5862*z**2\/11 - 425574*z\/11 - 7822466\/11 = 0. Calculate z.\nAnswer: -2857, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 677, -3, -11 in decreasing order.\nAnswer: 677, 3, 0, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 - 40. Suppose k = 2*q - 6*q. Let x = 0.7 + -0.6. What is the smallest value in q, x, 8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -377, 4 in descending order.\nAnswer: 4, -1, -5, -377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 4*j**2 + 49*j + 207. Give p(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 7 = w, -5*w - 4*p + 85 = -19*p for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.01544096, -4, 2?\nAnswer: 0.01544096","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 14.637684 months?\nAnswer: 0.01219807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 330 + -4948\/15. Suppose -4*n = -3*n - 1. Let j be n\/4 + 34\/(-8). Put w, 0.1, j in ascending order.\nAnswer: j, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, a: 1, g: 8, r: 1, q: 2}. What is prob of sequence gr?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 4. Let v(o) = o**3 - o - 1. Suppose -5*a + 26 + 4 = 0. Let s(l) = 2*l + a + 3*l - l**3 - 6*l**3. What is j*s(c) - 5*v(c)?\nAnswer: 2*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/550 and -87\/40.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 79 = -l, -4*h - 4*l - 47 = -3. Let y be (-200)\/h*18\/15. Solve 5*s = 9 + y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 28 = 4*b, o - 2*b + 13 = -13. What is the common denominator of o and 2\/855?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4242551 is divided by 1463?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bb - -1d069?\nAnswer: 1cd8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190741099 to the nearest integer?\nAnswer: 13811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3068 - 1498. Suppose 3*a + 2*a = z. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/20)\/(((-1827)\/(-580))\/21).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, s: 1, c: 1, x: 2}. Give prob of picking 2 x and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 9:38 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 5.58. What is q rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -3\/2, 134, 3 in descending order.\nAnswer: 134, 3, -3\/2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30275677 is divided by 6055132.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (19 - 35) - -20.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + r = -0*r - 23, -3*r = -3*b - 21. Does 7 divide 4\/9*b*-6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.9 times 4?\nAnswer: -35.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -509*p**2 + 6. Let f(i) = 2544*i**2 - 32. What is -3*f(x) - 16*s(x)?\nAnswer: 512*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + -6*12\/(-9). Let d(o) = 2*o**2 - 8*o + 9. List the prime factors of d(z).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620 is divided by 76?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - 5*d + d + d - 5*d + 2*d + (3 + d - 3)*(4 - 5 + 0) - 4*d + 2*d + 0*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*h - 52 - 69. Suppose -11048 = -h*k + 6453. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -72, -97, -126, -165, -220, -297?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3203e (base 15) to base 7.\nAnswer: -1230431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001100101010000101000 (base 2) in base 3?\nAnswer: 22200011110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 v when four letters picked without replacement from gdxdvvddvvvvkvv?\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/7)*u\/(u\/(u\/u**(-1\/8))*u))\/(u\/(u\/u**(-1\/4)))**45 assuming u is positive.\nAnswer: u**(613\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9918, 3, -3, -1\/3, -0.05, 4 in decreasing order.\nAnswer: 4, 3, -0.05, -1\/3, -3, -9918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - o**2 - 19. What is c(0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1174 = -166*j - 33 - 1216 + 431 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 - 401 + 401.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1080 and 64140.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 7961 in increasing order.\nAnswer: -1, 2, 7961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 3*a - a)*(2*a**2 + 5*a - 5*a) + 211 - 211 - 11*a**3 - 5*a**3 + 4*a**3 - 3*a**3 + 8*a**2 - 8*a**2 - 4*a**3.\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jiij when four letters picked without replacement from iijjjjjsjjisijjjiji.\nAnswer: 275\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/57*(16\/(-10))\/(14\/(-35))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 6*n**2 + n - 2. Suppose t + 10 = 2*v, -2*v + 4*t + 1 = -15. Let x be p(v). Calculate the highest common factor of 85 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*j + 12 - 5, -4*u - 22 = -5*j. Let o = j - -9. Solve -l = -3*r, 4*l + o = -2*r + l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-50*y + 110*y - 56*y)*((4*y + 0*y - 3*y)*(-3*y + 0*y + 5*y) + 3*y**2 - 18*y**2 - 5*y**2) to the form z*y**2 + n*y + h*y**3 + r and give h.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74907, -43, -4.\nAnswer: -43, -4, 74907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 132*t**5 - 31810*t**4 + 124522*t**3 + 33706*t**2 - 124654*t - 1896 = 0?\nAnswer: -1, -1\/66, 1, 4, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -4*p - 13\/6*p**3 + 0 + 0*p**2 - 1\/5*p**5 + 0*p**4. What is the second derivative of o(u) wrt u?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/5 + 177*u**3\/5.\nAnswer: u**3*(u + 177)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -115 + 114. Is ((376 + 3)*-1)\/p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*v = -220. Suppose -v = -4*s + 54. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93093 and 5434?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 6. Let r be p(4). Suppose r*c = c. Suppose -x**3 + 5*x**2 + 0 - 2*x**2 + c*x + 1 - 3*x = 0. What is x?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63 + 5*p**3 + 15 - 10*p - 3*p wrt p.\nAnswer: 15*p**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67 + (-46 - -39 - -121)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 4*s - 8. Let p be s\/(-9) - (-8)\/(-18). Which is the nearest to -1? (a) -0.5 (b) -2\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49*(-158)\/(-23226)*(-6)\/52?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21514685 or 21514687?\nAnswer: 21514687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 56504 divided by -3\nAnswer: -56504\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -486622?\nAnswer: -486622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -25 - 6) + (110 - (0 - 1)) + 4.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.1. Let p = 0.007 - -0.193. Which is the third smallest value? (a) p (b) -0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -o**3*p*q*s + 9*o**3*q*s**2 + 3*o**3 - 2*o**2*q + 2*o*p*s**2 - 13*p*q wrt p?\nAnswer: -o**3*q*s + 2*o*s**2 - 13*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 959141613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 8\/(-21))*(-6 - 95\/(-10))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 7*q - 50. Let m be (1 + 0)*(-16)\/(-4). Let h = m - 1. Solve -q - 5 = h*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33*p**4 + 1822.\nAnswer: -132*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3747?\nAnswer: 3, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 9 = 129. Suppose 3*k = 4*r - 110, 5*r - 3*k + k = 134. What is the smallest common multiple of r and j?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 8*u**2 + 3*u - 1. Let l be d(-1). Is 3 - (114 + 0)*(-2)\/l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 10:07 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(228))\/(6*sqrt(15)\/sqrt(5)) + 4)*-4.\nAnswer: -16 + 8*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11 - (21*(-5)\/(-15) - 6). Does 3 divide (-15333)\/(-95) - 4\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1314 - -1314.5. What is the nearest to -59 in -1\/7, -3\/2, k, -1\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -226*x**5\/3 + 6332*x**4\/3 + 566*x**3\/3 - 19448*x**2\/3 + 13000*x\/3 - 224\/3 = 0.\nAnswer: -2, 2\/113, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3218391 divided by -3363?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**2\/17 + 12246*u\/17 + 3702952\/17 = 0.\nAnswer: -5804, -319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*m + 14 = 5*m, 4*w - 2*m = 16. Suppose -2*c = w - 18. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*t + 10, -t - t + 24 = 3*p. Let q be 0\/(-3)*(1 - 0). Let a be q\/(3\/(t\/4)). Which is bigger: a or -2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 57837 and 57865 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.345 to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcdd when four letters picked without replacement from {c: 1, d: 4, g: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*m - 19*m - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93410 is divided by 121.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -0.04, -0.06, 0.05, 2\/7?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5296 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40854656 to the power of 1\/2, to the nearest integer?\nAnswer: 6392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -1434*d - 53062. What is l(-37)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)*-2*5.\nAnswer: -60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -10*b + 4. Let i(p) be the second derivative of 5*p**3 - 11*p**2\/2 - 261*p. What is -3*i(q) - 8*o(q)?\nAnswer: -10*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 508369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 218.\nAnswer: -5\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.3 to 1 decimal place.\nAnswer: -10.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 0*v + 2*v)*(1 - 2 + 0) + (24 - 15*v - 24)*(-4 - 2 - 2) to t + f*v and give f.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**5 - 3*z**2\/2 - 102*z + 33. Find the first derivative of i(s) wrt s.\nAnswer: -20*s**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -16\/17, 1\/5, 0, 12 in increasing order.\nAnswer: -5, -16\/17, 0, 1\/5, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 63*g + 138.\nAnswer: -3*(g - 2)*(g + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -o - 27. Let w = o - -48. Suppose 2*c + w - 45 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 156560 or 156566?\nAnswer: 156560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 2253144.\nAnswer: 6759432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/15*6\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7*l**2 - 7*l + 10. Let y be 12 + (0 - 1) - 2. Let o be j(y). Round o to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c2681 (base 15) to base 13.\nAnswer: 187342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -1, -53 in ascending order.\nAnswer: -53, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 + 5*d - 6. What is the least common multiple of 16 and i(3)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26cd8 + 74?\nAnswer: -26c64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 152*o**3*v**4 - 7*o**3*v - 4*o**3 + 3*v wrt v?\nAnswer: 1824*o**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 5 = -17. Let d be 62\/6 - (h\/6 + 0). Suppose 8*f = 3*f + d. Solve -y + f*q + 12 = -q, -2*q = 4*y - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 344 = 302. Let k = g + -2253\/7. Let -4\/7*o**2 - k*o**3 - 2\/7 + 8\/7*o + 6\/7*o**4 = 0. Calculate o.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 4:44 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-297)\/18*(-1)\/((-6)\/(-4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -232*m**4 + 5*m**3 + 2*m**2 - 1531 wrt m?\nAnswer: -5568*m + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 937 + -260. Let b = d + -676.99942. What is b rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h - 303 = -16*h. Is -102 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 3*a - a)*(10*a + 13*a - 6*a) + (-1 + 2*a + 1)*(2 - 2*a - 2).\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*g**2 - 8*g**2 + g - g to j*g + q*g**2 + y and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -211 - -206. Which is the nearest to -2\/5? (a) f (b) 0.2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n + 4*n + 2*n)*(1599 + 29*n - 1599) to the form y*n + x*n**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 + 22*w + 50. Let c be x(-8). Factor -20*g + 36*g**2 + 16*g**3 - 12*g**c + 9*g**4 - 11*g**4 - 22*g**4 + 4*g**5.\nAnswer: 4*g*(g - 5)*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o**2 + 2*o + 1. Let i be k(-1). Let j = i - -10. Suppose -q = -j*q + 307. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -1. Suppose -z*k + 16 - 4 = 0. Suppose a - 5*g + 8 = -9, 3*a - k*g + 7 = 0. Solve -8 = 4*i, 3*h + 0*i + a*i - 3 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 7*b**3\/3 - b**2\/2 + 2*b. List the prime factors of x(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3171330 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-7640)\/70*-813 - -4*3\/(-84)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*n + 13311 = 27*n - 133*n for n.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -29*d**2 - 1. Give q(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 45 = -w + 2*j, 2*w = 3*j + 30. Let c(f) = -f**3 + 26*f**2 + 70*f - 41. What is the smallest common multiple of w and c(-4)?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 - (-64 + 16 + 29)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -24 + 9 + 14 - 2*n. Suppose -3*x - x + 20 = 0. Let l(u) = u + 1. Give x*l(q) + 3*s(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11118, 11138, 11200, 11328, 11546?\nAnswer: 11878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-1) - (13\/(234\/(-300)))\/(-2)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 47, 133, 261, 431, 643?\n\"Answer: 21*b**2 + 23*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(2299) + sqrt(2299)*-1 + -3)*4)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*w - w = -38, 27 = f - 4*w. Let l be ((-2)\/(-2))\/(f\/(-1134)) - 0. Let y = 348 + l. What are the prime factors of y?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*6\/4*14\/3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 36 = -5*l, -2*l = -4*t + 2*t + 24. What is the least common multiple of t and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, d: 1, n: 4, r: 6}. Give prob of sequence nkkr.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5731, -22738, -51023, -90568, -141355, -203366, -276583, -360988?\n\"Answer: 3*o**3 - 5657*o**2 - 57*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - b - 3, 3 + 2 = b. Suppose -f*j - c = -3*c - 18, -5*j + c + 29 = 0. Suppose -3 = g, -5*g = -l + j*l - 281. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3590 and 300.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 102. Calculate the greatest common factor of 28 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-36) + 62\/124?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 61\/(-9) - 12\/54. Let m(t) = 11*t + 4. Let f(r) = 5*r + 2. Give l*f(c) + 3*m(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115 + 127. Suppose 5*l - 22 = -g*y + 8*y, -5*l - y = -28. What is the smallest common multiple of 50 and l?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 77*v - 69*v + 28 + 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 7*n + 162. Let m be x(-23). Solve 0 = 3*s + 2*j - m, 21*s - j = 23*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -26*c - 941. Give n(-36).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16809.18 rounded to the nearest ten?\nAnswer: 16810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzooqqiqqqquuzqiouz. What is prob of picking 1 q and 2 o?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 9) in base 13?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 77929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1114835.1196 less than -0.2?\nAnswer: -1114835.3196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39803693 a multiple of 1467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 540 and 43005540?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1482*q + 27 - 4*q**2 - 26 - 1479*q)*(-1 - 2 + 0).\nAnswer: 12*q**2 - 9*q - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzflfllzlzzlzz. What is prob of picking 1 l and 1 f?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (486*r - 13654 + 13654)*(2*r**2 + r**2 - 9*r**2) to i*r**3 + u*r + a + y*r**2 and give i.\nAnswer: -2916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 u when three letters picked without replacement from uuuwwu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-17)*644\/322?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q + 17*q - 23*q in the form c*q + k and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22441807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 208 and 81136?\nAnswer: 1054768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**3 - 6 + 4 + t + 69*t**2 - 74*t**2 to the form d + y*t**3 + w*t + o*t**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6121 or -6112?\nAnswer: -6112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*i - 4*k = 5, 0 = -2*i - 4*k - 2. Let u be i*1 + (13 - 3). Is 10 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378 = -8*l + 7*l. Let t = l + 634. Let z = t - -153. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/3)\/(6\/(-9)). Let h = -19 + 14. Put -4, -3, h, v in decreasing order.\nAnswer: v, -3, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 24. Let p be v(19). Suppose w - 14 = -f, 0 = -4*w - p*f + 37 + 18. Suppose -4*c = -w*c + 374. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**6\/45 - 2*s**5\/15 + 5*s**4\/18 - 2*s**3\/9 - 16*s + 4. Let f(q) be the first derivative of b(q). Let f(l) = 0. Calculate l.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25.65 + -26. Let l = 0.15 + r. Let g = -0.2 - l. Which is bigger: 2.1 or g?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6708 < 6706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 21 = 3. Let d = p - -10. Let j be (0 + 1)*(-3)\/9. Which is the third smallest value? (a) j (b) d (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1114 plus -0.5?\nAnswer: -1114.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1376, -1309, -1244, -1181, -1120, -1061?\nAnswer: -1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/3, 2\/7, -11\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30537 minus -5?\nAnswer: -30532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*-1*-2 - sqrt(70))\/(sqrt(10) - (sqrt(40) + sqrt(10))*-2) - ((sqrt(105) - (sqrt(105)*1 - sqrt(105)))\/sqrt(5))\/((sqrt(48) - sqrt(3))*1).\nAnswer: -4*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -6.3. Let y = 0.1 - v. Let c = 7.9 + -8. What is the second smallest value in c, y, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u**3 - 4*u**2 - 4*u - 4. Let j(t) be the third derivative of -t**6\/120 + t**5\/60 + t**4\/24 + t**3\/6 - 8*t**2 + 1. Determine -4*j(f) - o(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6768199?\nAnswer: 19, 31, 11491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16907 - -16906. Is a > -1\/9515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**5\/4 + 2382*l**4 + 9525*l**3\/4 - 9527*l**2\/2 = 0. Calculate l.\nAnswer: -9527, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 - 846*j**3 + 6896*j**2.\nAnswer: -2*j**2*(j - 8)*(j + 431)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 12*v + 12. Let z(o) = 3*o + 3. Let y(m) = -6*t(m) + 26*z(m). Let u = -1359 - -1365. What are the prime factors of y(u)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*g**4 - 2*g**3 + 177.\nAnswer: 192*g**3 - 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61547.5 milligrams to nanograms.\nAnswer: 61547500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-1 + 9)) + -1036 + 1047?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87*w**4*x - 2*w**3*x + 7*w**2*x + 78*x wrt w.\nAnswer: -2088*w*x - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 5. What is the greatest common factor of g and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -5 - 3 - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/77 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.8 + -6. Let u = 3.1 - l. What is u rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 x when three letters picked without replacement from nnennnnnennnenxxnx?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161122?\nAnswer: 2, 13, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 15624*f**3 + 5*f**2 - 6*f + 8. Let q be h(4). Round q to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 3 - 3) + -36. Let j be (-24)\/(-10) - r\/65. Solve -2*z - j*u = -1, -7 = -2*z - z + u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3\/5 (b) -4 (c) 64296\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 603*i**2 + 6*i + 5. Let z be d(-1). Calculate the greatest common factor of 172 and z.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 24 = n + 4*b, 5*n = -b - 162. Let y = -2 - n. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2753?\nAnswer: 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 153?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/4*2*-3*42\/21?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 28\/21*-2*18\/8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 92. Let t be w(0). Suppose 5*n - t = 8. Calculate the smallest common multiple of n and (-40)\/(-25)*5\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 10*i + 3. Let d be g(10). Suppose -d*b + 0*b + 93 = 0. Suppose 2*z + b = 3*z. Calculate the remainder when z is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.06 - -0.76. What is the closest to 2\/9 in -0.4, q, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26413 is divided by 193.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-5 - (3 + -5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 121, 0.3 in ascending order.\nAnswer: 0.03, 0.3, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + i - a - 4, -i + 4*a + 16 = 0. Let v(c) = -c**3 + c**2 - c - 63. Let s be v(i). Let m = 120 + s. Do m and 58 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.745 or 2.9?\nAnswer: 0.745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11363.\nAnswer: 11, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1336, 1337, 1338, 1339, 1340, 1341?\nAnswer: 1342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20503 + -22458.8. Round d to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 - 4*i**3 + 0*i**3 + i**3 - 4*i**3 + 2*i**3 + 3 - 3 - i**3 + (4 - i**2 - 4)*(-3*i + 7*i - 3*i) - 3*i**3 + 2*i**3 - 3*i**3)*(i**2 - i**2 + 2*i**2).\nAnswer: -18*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*4\/(-12)*6\/8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 5*h**5 - 7 + (0 + 2*h + 0)*(h**4 - 2*h**4 - h**4) + (-3 - 2*h**5 + 3)*((1 - 3 + 1)*(-2 + 5 - 2) - 23 + 6 - 3).\nAnswer: 33*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6*n - 6. Calculate g(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/16)\/(-21)*1.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*j - 1. Let o be ((-6)\/(-3))\/(j - -3). Find the common denominator of 3 + o\/11*-5 and 19\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-10)*5\/(-2). Let z = 0.054 + 0.346. Which is the second biggest value? (a) r (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3 - 3*h - 6)*(h**4 - 2*h**4 + 2*h**4 - 2*h**2 + 2*h**2 - h**4 + (0*h**2 + 0*h**2 + 2*h**3)*(-3*h - 4*h + 4*h)) - 3*h**3 + 3*h**3 - h**5.\nAnswer: 17*h**5 - 12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.266 - 0.126. What is the third smallest value in c, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/3 - 1714*z**2\/3 - 2294*z - 1722.\nAnswer: 2*(z - 861)*(z + 1)*(z + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4711 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 106770851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-456)\/(-7) + (-116)\/28 + 4. Let t = y + -62. Is 10\/3 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*(1 + -2 + sqrt(1900)*2))**2.\nAnswer: -480*sqrt(19) + 68416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 3*g, 0 = 3*c - 2*g + 6*g - 35. Let v be 1\/(-8)*12*(-2)\/(-3). Suppose -2*z + 1 + 3 = 0. Sort z, v, 4, c.\nAnswer: v, z, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -48 + 10 + 12 + 15 + 10. Let x(m) = 2*m - 8. What is 6*k(a) - x(a)?\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7881 is divided by (61 - 70)*(1 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 6*l + 154. Determine x(0).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 331612 (base 10) in base 9?\nAnswer: 554787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/144 and 13\/1152.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -96 - -94. Let p be (-152)\/(-9) - j\/18. Is p > 69\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -345 - -614. Let y = l - 112. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -278*x**3 - x**2 - x + 1. Let w be g(-2). Let u = -1582 + w. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1331)\/165 + 8)\/(8\/(-456))?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r**3 + 7 + 0*r**3 + 0 wrt r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and 0.2.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 + k**3 - k**3)*(-159 - 50*k + 159) + (0*k**2 - 3*k**2 + k**2)*(-4*k**2 + 2*k**2 + k**2).\nAnswer: -148*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1164778, 440 in descending order.\nAnswer: 1164778, 440, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 285431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 392 and 292334?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 303.5 - 303.6433. What is z rounded to 3 decimal places?\nAnswer: -0.143","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g - 5*g)*(3*g - 3*g + 2*g)*(-4*g**2 - g**2 + 6*g**2).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 6*l - 12. Solve 2*h = l*h - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**4\/4 + s**3\/3 - s**2\/2 + 2*s - 2. Let h be f(0). Suppose -4*o = -h*o - 16. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 5*p - 19 = 4*u, -3*u = p - 7. What is the lowest common multiple of u and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144694 is divided by 72223.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1886 - -15079\/8. Sort n, -2\/11, -5 in decreasing order.\nAnswer: -2\/11, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2876 divided by -130619\nAnswer: 2876\/130619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3) + -14 + 8 + -13?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1151*r + 2*r**3 - 27*r**2 + 663*r + 488*r + 2*r**3.\nAnswer: 4*r**3 - 27*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.86 + -458.86. Let c = w - -461.12. What is c rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**7\/7 - 9*z**6\/10 + 117*z**5\/10 - 31*z**4\/4 - 18*z**3 + 130*z. Find x such that f(x) = 0.\nAnswer: -9, -1\/2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 8*g + 15. Let y(u) = -u**3 - 14*u**2 + 2*u + 318. Let n be y(-12). What is h(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d - 17. Let z(c) = -2*c**2 + 5*c - 2. Let i be z(3). Let o be r(i). What is the highest common divisor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + y**3 + 0)*(0 - 2 + 0 - 5*y) + (2*y - 4*y + 8*y)*(-2 + 0 + 3)*(-2*y**3 + y - y).\nAnswer: -17*y**4 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g - 19. Let o be v(-11). Let u(s) = -6*s - s + o + 3*s + s**2. Let d = 1 + 1. What is u(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1. Let l(r) = -3*r + 9. What is -4*a(s) + l(s)?\nAnswer: -3*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2*r - 16, 0 = -4*x + 3*x - 4*r - 17. What is the remainder when x is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20)\/12 - 0)\/((-1)\/6). Let m = -49\/5 + v. Let w = 0.1 + -0.4. What is the third biggest value in 1, m, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100101202 - 11?\nAnswer: -100101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(-8)*(-18)\/5. Let c = -6 - -11. Let b(l) = -l**2 + 12*l - 6. Let m be b(c). Solve i = -4*a + m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8681689, -17363379, -26045069, -34726759?\nAnswer: -43408449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1854 and -1?\nAnswer: -0.1854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 9:25 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 6. Suppose 4*a + 52 = -0*a - f, -3*a - i*f = 39. Let c = a - -22. What is the remainder when c is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**2 + 8. Let t(n) = 5*n**2 - 9. Suppose 30 = -4*v - i, 0*v - 2*v + 5*i = -18. Give v*q(b) - 5*t(b).\nAnswer: -b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2661\/13 - -205. Let g(m) = m**2 + 19*m - 14. Let r be g(-14). Let t be (-14)\/6 - (0 - (-217)\/r). Are t and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -116, -174, -212, -224, -204?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 4 - 10) + -4. Let z be (-84)\/c*(-1 - -1 - 1). Let k be 16*3*-1*2\/z. Calculate the greatest common divisor of k and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 11, 38, -1\/2.\nAnswer: -1\/2, -0.2, 11, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28588 by -898.\nAnswer: -14294\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p = 16*p + 18. What is the remainder when 531\/p*2\/3 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 17 = 5*b - 0, -5*l = -b - 11. Solve 0 = 5*g - 5*k + 9 + 11, -2*k - 17 = l*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -369464658?\nAnswer: 369464657.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 2*t + 5. Let a be n(1). Solve 2*z + 15 = 5*h, 0 = -23*h + 21*h - a*z + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 4 (c) 1.8 (d) -11\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f - 2*f - 6*f - f - 6 - f**2. Let i be o(-9). Let v be i*(36\/(-8))\/3. Calculate the highest common factor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18369389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-seven halves of a week?\nAnswer: 2268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1634335908 to 3 dps.\nAnswer: -0.163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x - 4. Let u = 8 + -5. Let h be f(u). Suppose -4*k + 132 = m - 3*m, -4*m = -h*k + 159. What is the remainder when k is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(4\/13)*j)\/j*(j\/(j\/j**(-21)))\/j assuming j is positive.\nAnswer: j**(-269\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22733*o + 5646*o + 5479*o + 5645*o + 5965*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4055002900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**2 + 4*q + 2. Let f(n) = -n - 9. Let t be f(-12). Let b(a) = -5*a**2 - 5*a - 3. Let x(d) = t*b(d) + 4*o(d). What is x(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.03647 and -24.\nAnswer: -24.03647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13 + (-23)\/(92\/24). Let r(q) = 193*q + 12. Is r(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 4 = -h, -9*h = 3*c - 338 + 335 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114103 is divided by 1463?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-8)*m**(-14)*m**1\/(m*m*m*m**(-11)) assuming m is positive.\nAnswer: m**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.28915 rounded to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (0 - 232\/72). Let z be 1\/5 - (-4)\/5. Let k be 2\/(-3)*z*-1. What is the second biggest value in 0.1, t, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 3*m**4\/8 - 8*m**3\/3 + 19*m**2. What is the first derivative of f(s) wrt s?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3732.595nm?\nAnswer: 0.000000003732595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2. Let b(l) = -l + 1. Let g(z) = 18 + 2*z - 3*z + 2*z**2 - 17*z + z**2. Let w(y) = 18*b(y) - g(y). Determine w(q(j)).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43 by -1081848.\nAnswer: -43\/1081848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 7*l + 7. Let s(d) = -d**2 + 3*d + 3. Let q(u) = -3*g(u) + 7*s(u). Let b(k) = -3*k**2. What is q(b(x))?\nAnswer: -9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 0*m - 2 + 4 - 6*m + 0*m**2 + 5*m**2 + m**3. Let q be n(-6). What is the first derivative of -2 + 0*c**2 + q*c**2 + c**2 + c**2 wrt c?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 0 + m**3 - 2*m - 4*m**2 - 2*m**2 - 2. Suppose 0 = -2*r - 2*l - 3*l + 26, -3*r - 2*l + 17 = 0. Suppose -q = -r*q + 12. Give z(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5390\/696921 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 5*g = 3*o + 13, -5*g + 11 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 2*c - 2. Let o be a(-4). Let m be -2*2*(5\/(-2) - -2). Solve m*q = -q + o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1515805 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**4 + 87*x**3 - 639*x**2 + 729*x + 1458 = 0. Calculate x.\nAnswer: -1, 3, 9, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-7)*(-4 + -3). Let c be 1\/(q - 4)*0. Solve 5*b - 25 = -c*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1024673076?\nAnswer: 2, 3, 7, 67, 60689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2563386 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-15))\/(1\/(9\/(-6))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 1. Let c be u(2). Let w = -266.19 - -290.19. What is the closest to w in 3, -1, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a2b0 - -db?\nAnswer: -3a1c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 120 + 396 = 0. Let i be d\/12 + 6\/(-9). Let v = 11 + i. Which is the nearest to 1\/4? (a) 0.5 (b) v (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/153 - 62\/(-6)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15769*969\nAnswer: 15280161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 - 1112?\nAnswer: -1075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 7*m = 28. Put 24, m, 0.2 in ascending order.\nAnswer: m, 0.2, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 568*t + 14026 = -9262 for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 l, and 1 t when four letters picked without replacement from {l: 3, a: 4, t: 2, v: 8}.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 590290 to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106 - -39. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 407 = 33. Is ((-127)\/(-4))\/(2\/g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/5 (b) 0.12 (c) -1\/2 (d) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 + 7 - 7)*(-25069*j - 50*j**2 + 25069*j) + 2*j**5 + 0 + 0.\nAnswer: 152*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -42174.9 rounded to the nearest one hundred?\nAnswer: -42200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - (sqrt(84) + (sqrt(84) - -4*sqrt(84) - sqrt(84))))\/(-4*sqrt(108)).\nAnswer: 3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p - 3. Let m = -11 - -7. Let n be w(m). Suppose -2*y - 27 = -n*y. What is the remainder when y is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 a when four letters picked without replacement from {a: 15, q: 3}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(304)*-4 + (sqrt(19) - (-1*sqrt(114))\/sqrt(6)) + sqrt(19) + sqrt(152)\/(sqrt(16)\/sqrt(2)*1).\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -29*f**3 + 3105*f**2 - 204*f + 286. Determine p(107).\nAnswer: 1356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-174)\/(-1430) - 508\/16510.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3e8 (base 16) to base 7.\nAnswer: 2626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10 from 9.95123.\nAnswer: -0.04877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 16. Let r be d(-7). Let b be ((-8)\/6)\/(2\/r). Let g(w) = w**2 - 3*w + 7. Is g(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z**3 + 55*z**2 - 29*z + 4. Let q(l) = 3*l**3 + 27*l**2 - 12*l + 3. Give -2*c(t) + 5*q(t).\nAnswer: t**3 + 25*t**2 - 2*t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/204*679 + 65\/15*90\/39\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 87 - 15 = 0 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000147228965 rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcuu when four letters picked without replacement from {b: 4, c: 4, d: 5, u: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44927\/479 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 6 + 16, -4*a = m + 33 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-20) - (-9 - -1*(-2629)\/(-110))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 23*d - 1804. Let z(a) = 2*a - 164. Calculate -2*s(f) + 23*z(f).\nAnswer: 2*f**3 - 164","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 6*o**2 + 3*o**2 - 3 - 2 in the form f + c*o**2 + x*o and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166 divided by -576.\nAnswer: 83\/288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4654*r**3*t**2 - 2*r**3 - 2*r*t + 160527*t**2 wrt r.\nAnswer: 13962*r**2*t**2 - 6*r**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -13020\/19 less than -1\/172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**3\/4 - 1875*o**2\/4 - 3747*o\/4 - 1873\/4 = 0.\nAnswer: -1873, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 80?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 147*h**3*j + 2672009*h**3 + 42026*h**2*j**4 wrt j?\nAnswer: 147*h**3 + 168104*h**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a century in months?\nAnswer: 18240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + q - 1. Let r(t) = 7*t**2 + 6*t - 1. Determine -5*k(f) + r(f).\nAnswer: 2*f**2 + f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-220)*11*16\/18.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61b239 (base 13) to base 7.\nAnswer: -25246526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = 17*p - 25. Let t(n) = -n**3 + 5*n**2 - 3*n + 7. Determine t(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 447*y**6\/10 + 389*y**3\/6 - 2019*y. Find the second derivative of r(j) wrt j.\nAnswer: 16092*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(102)*1)\/(((sqrt(192)*2)\/sqrt(8))\/sqrt(4)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12850819*m - 10791578.\nAnswer: -12850819","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/736 and 35\/24?\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -15. Suppose -p + 5 = 2*m - 0, p = 5*m - z. Let q be -2 + (m - 4\/(-2)). Solve -b + g + g + 9 = 0, -2*b + q*g = -10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l + 0*l + 2*l + (l + 3 - 3)*(-3 + 3 - 2) + (-4*l - 3*l + 2*l + (-3*l - l + 2*l)*(3 - 1 - 3) + 2*l - 2*l - l - 7*l + 2*l + 3*l)*(-3 + 3 + 1).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45038 divided by 7.\nAnswer: -6434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -41*h**2\/2 - 2*h - 89. Calculate the remainder when 73 is divided by o(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 2*o + 2*o**3 - 7 + 252*o**2 - 12 - o - 12 as w + d*o**3 + s*o + r*o**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**2 + 0*q**2 - 3*q**2)*(-3*q**3 - 2*q**3 + 6*q**3) + (-3 + 3 - q)*(0*q - 2*q + 0*q)*(0*q**3 - 2*q**3 + q**2 + 4*q**3) + 6*q**5 + 181*q**5 + 76*q**5.\nAnswer: 269*q**5 + 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((21\/28)\/(6\/20))\/((-48)\/(-288))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 55, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 + 1 + -2 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38\/21 - 62\/21. Let z = 7.91 + -7.81. Which is the closest to s? (a) 2 (b) -2 (c) z (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*2\/(-15)*-3. Let k = 171 - 161. Find the second derivative of -k*d + d + 4*d**u + 4*d**2 - 3*d wrt d.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - 5*d**3 - 12*d**3 - 12*d**3 - 2*d**2.\nAnswer: -29*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p - 5. Let b(f) = -630*f + 19. Calculate b(n) + 3*x(n).\nAnswer: -639*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(4 - 2 + 2)*(-6 + 6 + 8*t)*(-8*t + 10*t - 4*t).\nAnswer: -128*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -19. Let j be (-8)\/6*(-9)\/h. Solve -j*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (14 - 4) - 1 - -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 14 - 29 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192 divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q + 3*q - 147*q**2 + q - 217*q**2.\nAnswer: -364*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 22*z - 80. Let h be a(6). Is 1*24100\/h - 27\/(-36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**7\/420 - 19*s**6\/240 + s**5\/40 + 59*s**4\/48 + 19*s**3\/6 + 2*s**2 + 666. Let u(d) = 0. Calculate d.\nAnswer: -19, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x - 36. Let o be s(-13). Suppose 5*g + 1 + 17 = -v, 0 = 2*v - o*g - 16. Solve 5*y - 20 = -3*q - 9, -5 = -q - v*y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -570 - -832. Let x = j + -258. Solve -9*d + x*d + 15 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(5\/((-25)\/(-3))). Suppose -m*q + 90 = -70. What is the remainder when (q\/(-10))\/((-6)\/105) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -76414, -76410, -76404, -76396, -76386, -76374?\n\"Answer: h**2 + h - 76416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -157*p**6\/40 + 1075*p**4\/24 - 1295*p**2. Find the second derivative of l(j) wrt j.\nAnswer: -2826*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 86618688 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -141 + 143. What is the nearest to i in -2, 4, -141?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 10, -y = 5*r - 2 - 27. Let h = -25.91 + 20.91. Let w = 236\/3 - 78. Which is the second biggest value? (a) w (b) h (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 q when four letters picked without replacement from {f: 2, q: 7}?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 less than 1.06?\nAnswer: -18.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*u + 8*u + 39*u)*(-6 + 4 - 2) to n*u + q and give n.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -4, 7, 5 in descending order.\nAnswer: 11, 7, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) + -1)*5 + 5 + 4 - ((sqrt(68) + -1*sqrt(68))\/sqrt(4) + sqrt(17) + 1 + -2)*-6)**2 + -3)*-1.\nAnswer: -2058 + 44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -4 - ((23 - 19) + -10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + (sqrt(162)*2)\/sqrt(6))**2 + sqrt(27)\/(sqrt(225) - (sqrt(225) + sqrt(225) + -2*sqrt(225) - sqrt(225))).\nAnswer: sqrt(3)\/10 + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 837269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-6*(3\/(-10))\/((-6)\/10).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.5 - -2. Let i = 89 - 89. Put p, i, 3 in decreasing order.\nAnswer: 3, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -24, 5, 6.\nAnswer: -24, -2, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -11.4\nAnswer: 45.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148768942 to the nearest integer?\nAnswer: 12197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1216 and 1426900?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 107*u**5 - 192*u**5 - 5*u**4 + 321*u**2 + 84*u**5 wrt u.\nAnswer: -60*u**2 - 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -254*2\/60*18*-60. Let p = x + -6247. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22601 + -22598. What is the second smallest value in -4, 1\/8, n, 0.06, 2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddd. Give prob of sequence ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 118, 174, 228, 280?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 1)*(k + 0*k + k + (-15*k + 15*k - 21*k)*(1 + 3 - 2)).\nAnswer: -160*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -0.9. Let k = l + -19.8. Let f = k + 18. Which is the second smallest value? (a) f (b) 1\/8 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-15)\/5)\/6)\/((-1)\/4). Let p(v) = -v + 6. Let b(m) = 1. Let x = -17 - -12. Let c(l) = x*p(l) + 30*b(l). Determine c(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24435 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, z: 11, k: 7}. Give prob of sequence zkz.\nAnswer: 77\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 1\/60*p**5 + 0*p**3 + 0 + 0*p**6 - 2*p**2 + 0*p**4 + 0*p - 1\/210*p**7. Determine a, given that b(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69076467 to the power of 1\/4, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1465, 1281, 1097?\n\"Answer: -184*b + 1649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 23*j**2 - 2. Let a(h) = 95*h**2 - h - 9. Let t(r) = -2*a(r) + 9*q(r). Let b(p) = 22*p + p**2 - 44*p + 22*p. What is b(t(v))?\nAnswer: 289*v**4 + 68*v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4420 - -4448. Calculate the lowest common multiple of 3072 and i.\nAnswer: 21504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6058, 12013, 17978, 23959, 29962?\nAnswer: 35993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12\/5 + 6\/5*l + 2\/15*l**2 = 0.\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11002900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 9*u**2 - 8*u - 18. Let b be c(10). Factor 2\/9*l**4 + 0 - 2\/9*l**b - 2\/9*l + 2\/9*l**3.\nAnswer: 2*l*(l - 1)*(l + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/5348 + 80887\/8022. Let o be (-3 - -4)\/((-22)\/142941). Let d = o + 6501. Calculate the common denominator of z and d.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -245*p. Let a(s) = -5*s**2. Determine b(a(i)).\nAnswer: 1225*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4*-43*2. Let f = s + 50. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 114 = 11*s. Is 19 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, 0, 5\/4, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 21998 - 7234 = -2*y, 5*m - 5*y = 73130. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 12*p**2 + 14*p + 14. Let n be g(-13). Suppose -9 = -2*o - n. Suppose -o*d = d - 635. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5\/11 (b) 35 (c) 2 (d) -4\/3 (e) -2 (f) -0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/17995 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2697)\/(-464)*(-4)\/75 and 63\/32.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {w: 4, i: 10}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 20*l + 34. Calculate the remainder when 42 is divided by i(19).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178 + 76 + 172 - 40 + 29 - 67 + 2*h.\nAnswer: 2*h + 348","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15590153*i**3*x - 3*i**3 + 108*i + 33421*x + 7 wrt i?\nAnswer: 93540918*i*x - 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2412543 divided by 804181\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-26) - (-100)\/26. Find the second derivative of -4*t + t**2 + 2*t + l*t**5 - t**2 wrt t.\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 9*s**2 + 10*s. Let m be o(8). Let l = -6 + m. Let y = 46 - 41. Calculate the least common multiple of l and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30.2 or -23078?\nAnswer: 30.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-10)\/(-2295)*(-243)\/(-54)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 6*r + 5. Let s = 5 - 11. Let t be c(s). Suppose -t*h + 120 = -0*h. Calculate the highest common factor of h and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b3 - 5?\nAnswer: 2ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 237 and 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((3 - 2) + (-1 - -1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 3:14 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.4 and -13.578.\nAnswer: -15.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7541317.\nAnswer: 7, 53, 20327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80 - 97) + (14 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 422643977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5070 = -115*p + 310*p for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 4*i + 3. Let w be j(-2). Suppose 0*z + 9 = w*z. Find the third derivative of -4*s**3 + z*s**2 + 4*s**2 - 4*s**2 + 8*s**3 wrt s.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.09, 3\/7, 2, -23, -11, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, -184, 5, 0, -5, -3 in decreasing order.\nAnswer: 51, 5, 0, -3, -5, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**3 + 14*c**3 + c**3.\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 11) + -23 + (5 - (3 + -2)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h\/((h\/(h\/(h\/h**7)*h))\/h)))\/h)\/h)\/h*h**(3\/16))\/(h**(-8)\/h**(-1\/10)) assuming h is positive.\nAnswer: h**(-233\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5628 = -556*c - 1180 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -3, -24, -0.2 in ascending order.\nAnswer: -24, -3, -0.2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**5\/5 + 9*i**4\/5 - 12*i**3\/5 - 48*i**2\/5 + 48\/5 = 0. Calculate i.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = u + 8, 5*n + 3*u + 6 = 2. Let i(c) = c**3 + 3*c**2 - 1. Let h(w) = -w**3 - 4*w**2 + 2. Let p = -589 + 586. What is n*h(j) + p*i(j)?\nAnswer: -j**3 - j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 2390\/283659 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -1, -20, 67, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p. Let c(a) = -422 - 2829 - 5*a**2 + 4*a**2 - 929 + 2*a**2. Calculate c(m(z)).\nAnswer: z**2 - 4180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/9574266 and -55\/109629.\nAnswer: 28722798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 1400 - 1454 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4318273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1877 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 49, 90, 147, 220, 309?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2031679\/2240 + 907. Let y = -2799062 + 1253983315\/448. Let d = y + t. Find the common denominator of d and -3\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (16\/96*-3*2)\/(1\/(-519641)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 11, -87?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 11. Give o(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*u + 159, 4*u + 35*h = 33*h + 136. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 4*m**2 + 5*m + 3. Let p be d(-3). Let i be (-2 + 4)*(6 + -1). Suppose -i = 5*q - 35. Sort 3, p, q in descending order.\nAnswer: q, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a micrometer in nanometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72 + 451 + 116*d**4 + 204*d**4 wrt d.\nAnswer: 1280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 10:40 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 9 = 3*v, -5*m = -5*v - 8*m + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2114723 by -13.\nAnswer: 162671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 + 75. Calculate the remainder when 58 is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 330443 by -3.\nAnswer: -330443\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5469 - -98401\/18. Let c = q + -25\/9. What is the common denominator of c and -1\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/7)*h*h)\/h*h**1)\/(h*h*h\/(h*h**3*h)*(h*h*h**(-6))\/h) assuming h is positive.\nAnswer: h**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 9.5. Let u = 8 - m. Put 3\/7, -4, u in descending order.\nAnswer: u, 3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 2\/(-8))\/(-1). Let n = 6.0572 + -6.07. Let b = n - 0.2872. What is the nearest to -1 in b, k, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 205229 and 299?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - o = -4*k - 10, -3 = o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3530)\/(-90) - 4\/18. Is (z - -5) + 3*-1 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688029 a multiple of 1077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 29 + 24 = -5*k, 2*k + 27 = -3*h + 22 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 0.09 (c) -28 (d) 17.5 (e) -27 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxixxissx. What is prob of picking 3 x?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 340.0369 nanograms?\nAnswer: 0.0000000000003400369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -139\/3 - -47. What is the fourth biggest value in 0.1, s, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o - 2. Suppose 4*y + 28 + 0 = 0. Let c be u(y). Round c to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27\/5662 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-10)\/4 - 1. Let i = -0.086 + -4.914. Which is the smallest value? (a) -0.5 (b) i (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 33 = 5*n, -o + 72 = 4*o + 2*n. Let k = o + 0. Suppose -28 = 21*l - 22*l. What is the greatest common divisor of l and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (2 - 3 - 6) - (-8 - -21).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - y - 2. Let n(l) = 23*l**3 + 3*l**2 - 3*l - 23. Let t(u) = -n(u) + 3*r(u). What is the derivative of t(w) wrt w?\nAnswer: -69*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*i**3 - 295*i**2 + 1380*i.\nAnswer: 5*i*(i - 12)*(3*i - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f + 43. Let i be k(19). Solve -i*p - 6 - 4 = 2*h, -4*h + 2*p + 4 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -4. Suppose 38*g - 43*g + 20 = 0. Suppose -g*f - 5*r - 14 = -6*r, 4*r = -5*f - 28. What is the nearest to 0 in 1, f, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2 - 3*b + 4 = 0. Calculate b.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -6 (c) 3\/5 (d) 2\/415\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/2*24\/(-18) - -26. Find d such that 3*d**3 - z*d - 21*d**2 + 59*d + 14*d - 27 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3143551 (base 6) to base 7.\nAnswer: 1210234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-85)\/(-51)*(-2)\/10)\/((-14)\/882)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2.597639 centuries?\nAnswer: 3117.1668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609*c + 8*s = 583*c + 996, 0 = -4*c - 3*s + 155 for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3988*l - 3984*l + 24 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 107114.3206 - 24.3206. Let f = -107122.0068 + v. Let o = -32 - f. Round o to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 != 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/42 + 57\/(-9)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a5 (base 14) in base 2?\nAnswer: 101010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3670947 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2801359772 and -0.9.\nAnswer: 2801359771.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y**2 - 368*y - 67. What are the prime factors of r(-51)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 3*r - 0*r - 48, -152*r = -3*m - 148*r + 99 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 15*r - 1. Let o be k(-7). Let f be o\/(-60) + (-6)\/8. Put 1\/3, 2\/7, f in descending order.\nAnswer: 1\/3, 2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38586071.\nAnswer: 38586071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -3. Let h = 4 + o. Let m be (-1)\/((-10)\/25 - 3\/5). Solve h*q + m = -9 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -6*u + 5, w + 14 = 3*u. Solve -19*g + 23*g = 3*h + 5, -h = -2*g + w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4054 - 1729 + 84)*(-3 + 2*i + 3).\nAnswer: -11398*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-51))\/((-143914)\/(-3995) - 36).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9515, -18999, -28485, -37973, -47463, -56955, -66449?\n\"Answer: -j**2 - 9481*j - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -74, -8\/5, 0.19, 3\/2, -1\/4, -2\/9?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 261 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(-16)*20\/6. Let i be (-6)\/33 - 2\/(-11). Suppose 16 = 4*c, -4*s + b*c = -i*c - 48. What is the highest common factor of 34 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111*m**5 - 18*m**3 - 2*m**2 - 16*m - 3406 wrt m.\nAnswer: 2220*m**3 - 108*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/4*(-4)\/3. Suppose 77*s + 56 = 70*s. Let f be 6\/(-4)*7\/(42\/s). Solve -b - 2*l - 6 = f*b, -r*b - 4 = -2*l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 50, 30, 2, -34, -78, -130?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n. Let x(v) = 4*v. Let c(l) = -2*x(l) - 9*z(l). Suppose -30 = -6*g + g. Let i(m) = 2*m + m - g*m. Calculate i(c(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + u)*(-6*u**2 + 4*u**2 + u**2)*(36 + 40 - 74) + 0*u**3 + 3*u**3 - 5*u**3 + (4*u + u - 6*u)*(-u**2 - 2 + 2).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3\/5 + 70*v**2 - 1052*v\/5 - 289872 = 0. Calculate v.\nAnswer: -55, 108, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 f when four letters picked without replacement from {o: 2, f: 4, q: 8}?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-329)\/141)\/(4\/18 - 11\/198)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 5*k**2 - 6*k - 8. Let t be z(-4). Which is the third smallest value? (a) -0.3 (b) 3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7\/6 + -2\/3. Let f(j) = j**2 - 22*j - 1250. Let s be f(48). What is the second biggest value in k, 4, s, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -1) + (3 - -1). Suppose -2*q - v*q = -275. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -19. Suppose x*h - 7*h - 28 = 0. What is the remainder when 13 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q + 5. Let y(s) = -7*s - 44. Let i be y(-37). Let b = 220 - i. Let v(n) = 2*n - 2. What is b*v(l) + 2*d(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7977, 7989, 7999, 8001, 7989, 7957, 7899?\n\"Answer: -j**3 + 5*j**2 + 4*j + 7969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5131.\nAnswer: 7, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s - 2*j - 19 = 9*s + 12*s, 13*j - 78 = 14*s + 17*j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + 89. Let f = s - 108. Sort 0.1, 1, f in decreasing order.\nAnswer: f, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/10504 and 59\/1560.\nAnswer: 157560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -578, -1151, -1724, -2297?\nAnswer: -2870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69350 and 438.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6*h. Let j(x) = -1681*x. Give j(o(r)).\nAnswer: 10086*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 3 = -148*o + 153*o, 30 = 2*o + 6*r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 4*i - 1. Let k(y) = 11*y**2 - 6*y**3 + 9 - 4*y**3 + y - 27*y**2 + 9*y**3. Let g be k(-16). What is f(g)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17742 = -7*c + 17805. Solve -c*a + 11*a - 4*s = 2, 5*a + 3*s + 8 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**2 - p + 8. Suppose 16*t + 37 = -8*t - 13*t. Let z(v) be the third derivative of v**5\/60 + v**3\/6 - 3*v**2. Calculate t*q(h) + 5*z(h).\nAnswer: h**2 + h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 17*j**2 - 61 - 15*j**2 + 45 + 72.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2586 and 312?\nAnswer: 2274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 + 3435 + 2*q**2 - 26.\nAnswer: -2*q**2 + 3409","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 364260 divided by 13?\nAnswer: 28020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 - 4*u + 6*u - 4*u + 15*u**3 + u - 3*u**2 to n*u + k + a*u**2 + c*u**3 and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 5*g + 11. Let p(t) = 2*t**2 + 11*t - 21. Let o(z) = 7*m(z) + 3*p(z). Let h be o(-6). Let k be ((-8)\/h)\/(1\/5). Solve 2*d - k = -2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -124*i**4 - 3350*i**3\/3 - 3354*i**2 - 3366*i - 18 = 0.\nAnswer: -3, -1\/186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k + 21. Let p be h(-5). Let r be (27\/p - 3)\/((-1)\/(-10)). Solve -3*m = 5*i + r, 4*m + 10 + 10 = -2*i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -702 and -3.\nAnswer: 2106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 2, -6\/7, 5, -1\/13.\nAnswer: -6\/7, -2\/5, -1\/13, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-3)\/3 - 1. Let l(n) = 258*n**2 - 4*n + 22 - 49 + 24. Is l(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(2793\/3078))\/(6\/(-28)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80 + 79. Is 3\/10 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1482349.\nAnswer: 11, 17, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 198071 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrxxxwwvwrrwxvx. Give prob of picking 2 w.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 1, 52, 252, -4.\nAnswer: -4, -2, 1, 5, 52, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 t, and 1 h when three letters picked without replacement from {t: 6, u: 1, e: 3, z: 2, h: 3}?\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1)*l)\/(l*l**18))**5)**(-45) assuming l is positive.\nAnswer: l**4275","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201 (base 4) in base 9?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 166\/5 + -33. Let i = j - 7\/10. Let n = -2589\/13 + 199. Put n, 4, i in increasing order.\nAnswer: i, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.4 (c) -143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2. Let s(l) = 2*l - 17. Calculate s(h(y)).\nAnswer: 6*y**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3326*r**3 + 1464*r**3 - 5*r + 10 - 4551*r**3.\nAnswer: -6413*r**3 - 5*r + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4356) - sqrt(4356)*-2*3)*2)\/((sqrt(84) + (sqrt(84) - -5*(sqrt(84) - -2*sqrt(84) - sqrt(84))) - sqrt(84))\/((sqrt(35)*-2)\/sqrt(5))) + 0.\nAnswer: -28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5268 + 1483 = 5*o, 4*o = -4. Is g a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mntzzzt. What is prob of sequence ztm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 5*j**2 + 5. Let o be f(5). Let k(q) = q**3 - 6*q**2 + 7*q - 7. What is the units digit of k(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-774)\/130 + (-1086)\/(-7059).\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51025, -204197, -459473, -816847, -1276313, -1837865, -2501497?\nAnswer: -3267203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30512542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 + (-15 + 7 - -6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 360696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 8*k + 17. Let r be y(5). Solve -5*w - 8 = r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14418.45g to kilograms.\nAnswer: 14.41845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 6154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22386 is divided by 196.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqy when three letters picked without replacement from {y: 2, s: 1, q: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21933 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5)**(-14)*v**(-1\/10)*v**10 assuming v is positive.\nAnswer: v**(-601\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -444203 (base 5) to base 13.\nAnswer: -7105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 71*l**2 - 204*l + 6. Give t(-68).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4207*g**4 + g**3 - 12*g**2 + 187*g.\nAnswer: 100968*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(-2))\/((-21)\/147))\/(16\/(-96))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4 - (-6 + 1524\/(-8)). Suppose -4*n = -d - 31. What is the remainder when n is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, j: 3}. What is prob of sequence jjf?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from mjjxjmmjppmjxjme.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**3 + 2*g**3 + 4*g**3 + (0 + 1 + 0)*((-3 - 1 + 2)*(0*g**3 + 0*g**3 - 2*g**3) + 13859 - 68*g**3 - 13859).\nAnswer: -61*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*r - 4 + 4)*(16 - 342*r - 17 - 53*r) + (-3*r - 3*r + 3*r)*(7*r + 10*r - 5*r) in the form x*r**2 + h*r + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehwo when four letters picked without replacement from {e: 3, o: 2, w: 3, m: 1, t: 1, h: 7}?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16396 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**2 + 4. Let m(a) = -2*a**2 + 64*a + 3 - 64*a. Suppose 2*r - 9 - 1 = 0. Give r*m(c) - 4*n(c).\nAnswer: 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 11 - (0 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 3. Let y be i(-5). Suppose -2 = 2*k - y. Suppose 18 + 3 = k*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -3\/2*n**2 + 3*n - 4\/3*n**3 + 1\/12*n**4 + 0. List the prime factors of w(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.2 + -35.2. Let w = -30 - n. What is the closest to 1 in -26, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k + 3 - 2*k - 1. Let z be w(-2). Let v = 56.42 + -57.42. Which is the smallest value? (a) -0.1 (b) v (c) z (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvw when three letters picked without replacement from wwwwvv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2963141627.\nAnswer: 41, 137, 563, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6631 take away -1647.5?\nAnswer: 8278.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -3. Let x be 12\/9 - c\/3. Let a(s) = 11*s**2 + s. Calculate a(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) 2 (b) -814 (c) 17\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 58 divided by 709\nAnswer: 58\/709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 4*h**2 + 4. Suppose -6 = u - 1. Is m(u) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 5:07 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 8:01 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -100*n - 157. Let u be b(6). Let m = u + 781. What is the greatest common factor of 156 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 16 (b) 1\/4 (c) 43 (d) -0.3 (e) 110\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 440356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*d - 4. Is 3 a factor of (3\/(-1) + -22)*(0 - d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 170*p**2 - 308*p + 5392. Give u(-172).\nAnswer: -800","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3079*j - 1601*j - 1580*j.\nAnswer: -102*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 9:35 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - -1. Let i = 67.4 - 67.681. Let g = 0.281 + i. Which is smaller: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 v when two letters picked without replacement from vgzvhzvvvx.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**4\/14 + d**3\/21 + 3*d. Suppose n(y) = 0. What is y?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232964, -465661, -698354, -931043, -1163728?\nAnswer: -1396409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2117392, -2117683, -2117974?\n\"Answer: -291*j - 2117101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vill when four letters picked without replacement from lifliflvihlhliliii.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/15)\/(1869\/4005).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -a - 5*l, -l = -a - 0*l - 17. Let h = a - -14. Let b be 6\/(-2)*h\/6. Put -5, b, -4 in increasing order.\nAnswer: -5, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o + 156 = 240 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6\/m*m**0)**(-2\/7) assuming m is positive.\nAnswer: m**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 25*q + 1. Calculate z(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 204.2 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 2:25 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -149 divided by 1?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 13885\/3071?\nAnswer: 13885\/3071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14490)\/161)\/(1*12\/(-8)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 935 times 16\nAnswer: 14960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) 5 (c) 1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23443465.\nAnswer: 5, 4688693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evwe when four letters picked without replacement from {d: 2, v: 2, a: 1, e: 2, w: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 31.55.\nAnswer: 252.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6 + 4*m**2 - 1 - 4.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/17 and 137\/48.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 12. Let r be g(11). Let y be 33*r\/6*2. Let x = 4 + y. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-21 + 18 - -34)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/54, -640, 1\/4, 0.3 in descending order.\nAnswer: 0.3, 1\/4, 1\/54, -640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7823*f = 3*b + 7828*f - 25, -2*b + 2*f = -6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -224\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 + 81. Let x be ((-18)\/a)\/(41\/(-287)). What is the highest common divisor of 423 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8*((-2)\/6*33 + 8). Let t(s) = s**2 - 23*s - 23. Give t(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20574801?\nAnswer: 3, 13, 175853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.0632 - -1.0182. Which is the closest to 4\/5? (a) -4\/7 (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2719 is divided by 1259?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1309.\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -107.5 (b) 1 (c) -5\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24631328 + 24631332 - 15*h - 49262660.\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 89641 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (4\/(-34) + (-1539)\/646). Factor o*r**4 - r - 1\/2 + 0*r**2 + r**3.\nAnswer: (r - 1)*(r + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 61815832 and 30612?\nAnswer: 185447496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65122171 is divided by 100?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29811224 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-114)\/(266\/(-14))*3\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -7*s - 72. Let n be b(-11). Solve n*q - 8 = -28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 325 - 309.92. Let r = n + -0.08. Let g = r - 10. Which is the smallest value? (a) -1 (b) 0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 3. What is the greatest common factor of b and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 less than or equal to 4108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1415.42 - -1420. Are z and 2\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3896077?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 7*u + 7. Let q be m(-4). What are the prime factors of (-21)\/(q - -2) - 1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -18 + (1 - 4) - 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)\/(-6*1*sqrt(6)))\/(sqrt(99)\/(sqrt(11) + -1*sqrt(99) + sqrt(11))))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**2 - 7835*t - 7830 = 0. What is t?\nAnswer: -1566, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 400330 (base 6) in base 7?\nAnswer: 160023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15d0 - 22?\nAnswer: -1612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-40)\/10 + ((-3)\/(-1) - 0). Which is the closest to 2? (a) l (b) 1 (c) 0.3 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 >= 403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -151283, -302567, -453851?\n\"Answer: -151284*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**4\/6 + s**3 + 3*s**2\/2 - s. Let g(a) = a + 7. Let o(w) = -w - 10. Let u(h) = 3*g(h) + 2*o(h). Determine 4*u(i) - y(i).\nAnswer: -2*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 208714*t - 417429*t + 42*t**2 - 3 + 208715*t.\nAnswer: 42*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 15*j**3 + 3*j**2 - 2*j - 7. Calculate m(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 234365813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/19)*h)\/((h\/(h**(1\/12)*h))\/h))**35)**(-1\/19) assuming h is positive.\nAnswer: h**(-17465\/4332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 17696 divided by -632\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-8\/5)\/(r\/((r**(-2\/11)*r)\/r)*r))\/(r*(r**12\/r)\/r)**(1\/7))**(-9) assuming r is positive.\nAnswer: r**(18549\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*345\/50)\/(552\/1840).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**3\/6 - o**2 - o. Let m be p(5). What is the units digit of 5 + (-3)\/m + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**2 + 11*x**4 - 4361 + 11*x**4 + 6504 - x - 59*x**3 - 3593 wrt x.\nAnswer: 264*x**2 - 354*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217618?\nAnswer: 2, 53, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*1*(sqrt(1539) + -2 + sqrt(19) - sqrt(57)\/(3*sqrt(3))).\nAnswer: -116*sqrt(19)\/3 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 19*u**2 + 18*u + 10. Let k = -2565 - -2583. Determine o(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 1379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 195, 2, 5, 39 in increasing order.\nAnswer: 2, 5, 39, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*f + x, f + 7 = -0*f + 2*x. Let b be f - (-4 + 1 + 1). Suppose 27 = -0*z + b*z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70924 and 1639?\nAnswer: 780164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**6\/120 - v**5\/12 - v**4\/24 + v**3\/6 + 9*v**2. Let q = -4 + 9. Give m(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 786 and 3144?\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + o - 1. Let f(p) = p + 15. Let z be f(-13). What is the units digit of j(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -8*c**2 + 24. Let a(o) = o**2. Calculate r(a(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, z: 1, s: 2, n: 1, x: 1, v: 1}. Give prob of picking 1 z, 1 h, and 1 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-14)\/(770\/(-637715)) - (-4 - 168\/(-44)).\nAnswer: 3, 5, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n. Let r be 1915\/(-9) + (-46)\/207. Let o = 207 + r. Determine k(o).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5736 is divided by 5252.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34941? (a) 0 (b) -1\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/8 - 25\/20. Suppose -x - 2 + 4 = i. Solve x*j + 0 + 6 = -4*k, k = 5*j + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -22?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32836187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*r + 55*r + 117 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 260 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -545ca2 (base 13) in base 9?\nAnswer: -3653302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1398*g**3 - 2 - 2069*g**4 + 8 - 1398*g**3 - 19*g**2 wrt g?\nAnswer: -49656*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 35\/(-105) + 614*1\/6. Let n be f\/595 - 8\/14. Which is the closest to 0.1? (a) -1\/6 (b) 1 (c) n (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 14*c - 11 = -k - 13*c, 43 = 4*k + 3*c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93 - 86. Let w be -2 + (3 - -2) + -15. Let m be (w\/v)\/(1\/(-7) + 0). Calculate the highest common factor of m and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2 + 0*b + 6*b + 7 - b**2. Calculate the least common multiple of 12\/(3*2\/6) and i(5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4 = 54. Let o = -11 - a. Are o and 4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 + 3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -5*l**4\/24 - 13*l**3\/6 - 284*l**2. Let a(x) = -6*x - 13. Determine 4*a(o) - 5*r(o).\nAnswer: o + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4 = 5*x, 4*x + 2*s = -0*x - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 478847322 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 57*g - 54.\nAnswer: -3*(g + 1)*(g + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15044 and 28.\nAnswer: 105308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -162551?\nAnswer: 162546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s - 134 = 6 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.2 + 12. Which is the second smallest value? (a) -1\/3 (b) w (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 - 0.1. Let w = d - -0.07. Which is the biggest value? (a) -5 (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/(h\/(h\/(h*h\/(h\/(h\/h**4))))))*h)\/(h**(1\/7)\/h)*(h*h*h\/(h\/h**(1\/2)))**(3\/40) assuming h is positive.\nAnswer: h**(117\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -7*i**6\/120 + i**4\/24 + i**3\/6 + i**2. Suppose -37*t - 9 = 28. Determine n(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1177, 1196, 1205, 1198, 1169, 1112, 1021?\n\"Answer: -v**3 + v**2 + 23*v + 1154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307957?\nAnswer: 13, 23689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-12) + (-118770)\/(-3852)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 12*g + 12. Let h(q) = -q**2 + 5*q + 5. Let p(z) = -12*h(z) + 5*u(z). Let x(b) = -4*b**2. Give p(x(d)).\nAnswer: 32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/6 + 1)*4. Find the third derivative of -4*m**2 - 3*m**4 - q*m**4 + 2*m**4 - m**2 wrt m.\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835 is divided by 34.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**6\/120 + 11*z**5\/60 + 8*z**2. What is the third derivative of o(v) wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4259 divide 595273674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77 + -225. Let o = y + 112. Which is smaller: o or -35?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19\/29 + 1\/87. Find q such that 2\/3*q**3 + 0*q**2 - d*q + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 241*u**6 + u**5 + 161*u**4 - 52*u**2 + 2784*u - 3 wrt u?\nAnswer: 28920*u**3 + 60*u**2 + 3864*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w + 5. Let h(k) = -9*k - 9. Let c(j) = -4*h(j) - 7*u(j). Let d be c(6). Find the third derivative of 4*m**2 + d*m**2 + 6*m**3 - 5*m**2 wrt m.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 + 1342140 - 268428 - 268426 - 268433 - 268426 - 268427.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*b**3 + 223*b**3 - 4 - 113*b**3.\nAnswer: 13*b**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 252.\nAnswer: -1260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 725007797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51813 - -125845. What is the ten thousands digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-g + 2*g - 2*g) - g - 6*g + 5*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22018, -22031, -22066, -22135, -22250, -22423, -22666?\nAnswer: -22991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3331*m - 2018*m - 84*m)*(m**3 + m**2 - m**2).\nAnswer: -5433*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 7*q + 51. Let f be w(-11). Let k(u) be the second derivative of f*u - u**2 + 1\/6*u**3 + 0. Give k(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.96 - -1.644. What is a rounded to two decimal places?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 122803.36621 - 122804. Let a = 0.63 + k. Round a to 4 dps.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and (-27)\/(-72) - (-15)\/24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**7 + t**3 - 2. Find the third derivative of b(s) wrt s.\nAnswer: -840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.26297mm in nanometers?\nAnswer: 1262970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34033310 + -10?\nAnswer: 34033300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 854 + -68319\/80. Let z(f) be the second derivative of 0 - 1\/2*f**3 - q*f**5 - 1\/8*f**4 - f**2 - f. Factor z(w).\nAnswer: -(w + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -63e7 + -4498?\nAnswer: -a890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3. Let c = 31 - 35. Let j(i) = -i**2 - 3*i + 8. Let r be j(c). Put z, r, -1 in ascending order.\nAnswer: -1, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111312769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(76) + sqrt(76) + (sqrt(76) - (sqrt(76)*-4 - sqrt(76)))*2)\/(-6*sqrt(24)\/sqrt(6))*3 + 2).\nAnswer: -10 + 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76800 by -512.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + u - 3*u)*(-216 + 27 + 70).\nAnswer: 238*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2 + 3\/2. Find the third derivative of -o*k + 17*k**5 + 2*k + 26*k**2 - 25*k**2 wrt k.\nAnswer: 1020*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**4 + p**3 - p - 1. Let x(q) = -779*q**4 + 6*q**3 - 635*q**2 - 6*q - 4. Let z(n) = -6*s(n) + x(n). Find the third derivative of z(h) wrt h.\nAnswer: -18840*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*((-39)\/(-15))\/(-1). Let x(d) = -d**3 + 11*d**2 + 18*d - 1. Let u be x(n). Let z = -43 - u. What are the prime factors of z?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k. Let c be (582\/(-9))\/(10\/15). Let m = 100 + c. Let q(f) = 8*f**2 + 3*f**2 - m*f**2. Calculate q(x(u)).\nAnswer: 200*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 66. Let q = 54 - l. What is the remainder when (172\/(-10))\/((-1)\/5) is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**2 + 49. Let d(h) = -9*h**2 + 97. Calculate 6*d(r) - 13*n(r).\nAnswer: -2*r**2 - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (0 - (5 + -12 - -14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 145 = -5*t, -t + 0*s = -3*s + 18. Is 1 - (-2 + t + 2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2402 + x**2 - 2*x - 2402 + 3*x**3 - 14*x**4 to the form z*x + h*x**3 + b*x**2 + o + v*x**4 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 232627 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(0 + (-2)\/2). Let v be (0*(-3)\/9)\/(-2). List the prime factors of x\/(-1 + v - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + 116. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 + 0*g - 3*g**2 - g**2 - 2*g + 8. Suppose -7*l + 12*l = -35. Let b be k(l). Round b to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3706544 divided by -4\nAnswer: -926636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 10021?\nAnswer: -10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 1852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 2\/5, 1287531?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 156 = 15*k - 732. Calculate the highest common factor of 1080 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -4.5. Let i = -12 - -17.6. Let v = i + u. Which is the closest to v? (a) 3\/5 (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 a, and 1 l when four letters picked without replacement from hlmjmmmajllmjhaaam?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 58303574 a multiple of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*r**3\/3 + 2235536*r**2\/3 - 41646694358*r - 16658796972.\nAnswer: -2*(r - 111777)**2*(5*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1267416 divided by 4?\nAnswer: -316854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 165683.081?\nAnswer: -165687.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*m + 10, -7*w + 2*w = -4*m - 2. Suppose -w*k + 89 = 3*c, k + 86 = c + 2*c. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 22*v**2 - 24*v - 100. Let o be p(-8). What is the thousands digit of (6\/4)\/((-4)\/8) + o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -0.1 (c) 0.132347\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**23)*q*q**(-2))\/(q*q**(-7\/3))**(-12) assuming q is positive.\nAnswer: q**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2)\/(z**(1\/2)*z*z))**(-4\/3)*z**(-4)\/z**(1\/2)*z*z*z**(-2)\/z*z*z*z**(1\/6)\/z assuming z is positive.\nAnswer: z**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283564 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25176, -151493, -494358, -1162047, -2262836, -3905001, -6196818, -9246563?\nAnswer: -13162512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (0 - (-1 - -3) - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 45\/6*736\/230.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g. Let i(h) = -16*h - 1. Calculate -i(a) + 3*n(a).\nAnswer: 13*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 3895?\nAnswer: 15580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 333.9893 tonnes in micrograms?\nAnswer: 333989300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 41, 32, 13, -22, -79, -164?\n\"Answer: -w**3 + w**2 - 5*w + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5 = -5*t, 2*t - 9 = 5*d - 26. Which is the second biggest value? (a) 31\/2 (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1385 smaller than -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 3*p - 1. Let y(t) = 252*t**3 - 504*t + 168. Calculate 5*y(x) + 840*z(x).\nAnswer: 420*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 819108.9l?\nAnswer: 819108900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5934 greater than or equal to 17798\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1182, -1181, -1180?\nAnswer: -1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51053 - 32917. Is 185 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b - 1. Let q(t) = -2*t - 5. Let d(z) = -z + 21. Let i be d(16). Calculate i*x(v) - q(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32 - 109?\nAnswer: -13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**2 + 2\/3*j**3 - 59*j - 111. Differentiate w(r) wrt r.\nAnswer: 4*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -263\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 75920 divided by 1168?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 239617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/1053 and -61\/39231.\nAnswer: 1530009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.35 + 111.25. Let v = -140.832 - 0.168. Let k = y + v. What is k rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1034928 and 3277272.\nAnswer: 19663632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 = -0. Solve y + 4*v - 8 = 5*y, f*v = -2*y + 20 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f*m**3*z - 9*f*m - 3*f - m**3*z - m**3 + 35*z wrt z?\nAnswer: 2*f*m**3 - m**3 + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 4:42 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2004 = -110*n - 1127 + 271 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -3*x**8\/28 + x**4\/4 - 4*x. What is the third derivative of t(p) wrt p?\nAnswer: -720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -97126 and 198.\nAnswer: -19230948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a gram in milligrams?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1. Let o(z) = 3*z + 4. Let s(i) = 4*b(i) + o(i). What are the prime factors of s(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 2\/9, 0.018, -3, 0.08, -22?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 - 4 - 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -135 - -139.04. Let v = m + -4. Let d = 3.236 + -3.236. Which is the closest to d? (a) v (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4231134.\nAnswer: 2, 3, 313, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 29\/2 of a kilometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5889 = -160*r + 30*r - 21*r. Solve -8 = r*p + 226 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = y - 2, -3*y = 3*d - 15. Suppose 5*h - 4*h - 5 = 0. Determine g so that -4*g**h + g**5 - 2*g**5 + d*g**5 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 402 (base 12) to base 15.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p**2 - 3187*p - 7954.\nAnswer: 4*p - 3187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/7*(6\/8)\/(9\/(-42))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -1, -45, -5, 5, -4564 in descending order.\nAnswer: 5, 4, -1, -2, -5, -45, -4564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**2. Suppose h - 2*u - 10 = 0, 0*u = -2*h + 2*u + 12. Let s(c) = -c + 6. Let l be s(4). Let t(o) = 2 - h + 2*o**l. Calculate t(i(n)).\nAnswer: 18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 0.2, 510, -2\/13?\nAnswer: 510","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 6\/13, 2, 3\/14, -0.33?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 755*g**2 + 44543*g - 109. What is p(-59)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34*((-2)\/10)\/((-48)\/360). Let k = 47 + o. Calculate the greatest common factor of 14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-44)\/(-6))\/(21\/((-924)\/8)). Let p = b + 245\/6. What is the closest to 1.4 in 0.3, 1\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 12*j**2 - 12*j - 11. Let t be u(-11). Suppose -3*b - 12 - 39 = t. Let r = b + 684. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -4, 0.033 in increasing order.\nAnswer: -4, 0.033, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of ((-2)\/4)\/((-60)\/74400)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/16 + (-62)\/(-8). Suppose 2*h = -0*h + l. Let i(r) = r**3 + r**2 + 5*r - 1. What is the tens digit of i(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5*u = 7 - 2, 1 = 5*t - u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323490330 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -77*p**5\/5 - p**4\/6 - p**3\/6 + 2*p. Is v(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(6)\/sqrt(108))*-4.\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -9. Suppose -7*p = d - 19. Let v be ((-2)\/6)\/((-1)\/3). Solve p*l + v = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30, -31, -32, -33, -34, -35?\n\"Answer: -i - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -43*x**2 - 2437*x + 802. Give w(-57).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*v = -5*r - 45, -4*v = -3*r - 51. Let a(t) = 4*t**2 + 7*t - 40. List the prime factors of a(r).\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 185543?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 42\/5 of a kilometer?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2873 and 35152?\nAnswer: 597584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 11:14 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/1410 and -76\/639999.\nAnswer: 6399990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 6. Let a be u(11). Let d(m) = m**2 + 5*m + 2. Let o be d(a). Suppose o*g = -2*g + 3012. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - s + 1651 + 74141 - 2*s.\nAnswer: -4*s + 75792","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(135\/(-5))*1\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t. Let b(q) = -293*q**2 + 1. Let c(v) = -b(v) + 3*w(v). Is c(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 5*y**2 - 6*y + 9. Let o be x(4). What is the smallest value in 4, -3, o, 0.16?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - g**2 - 1 + (-g + 2*g + 2 - 3)*(0*g + 7*g + 20*g) in the form d + n*g**2 + t*g and give t.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*g**2 + 35*g**2 - 7*g**2)*(6*g + 12*g - 13*g) - 3*g**3 + 4*g**3 + 0*g**3 - 22*g**3 + 10*g**3 - 30*g**3 to f*g**3 + d + a*g**2 + h*g and give f.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1367685 = -3*v, 17*v - 2279515 = 22*v + 3*n. Round v to the nearest ten thousand.\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6374404 + -6315186.93. Let j = a + -59269.069983. Let o = 52 + j. Round o to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -1958176038.\nAnswer: -1958176040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -381 + 381.071. What is v rounded to three dps?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - 0. Let d = 71\/20 - 101\/20. What is the biggest value in x, -2\/3, d, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/2730 and -157\/42.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1526392\/140)\/(7\/(-210)*-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1279, -2544, -3809, -5074?\nAnswer: -6339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -207 + 257. Let s = 48 - n. Which is the nearest to -0.2? (a) s (b) 2 (c) 4\/5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441018981.\nAnswer: 3, 13, 17, 221729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 0 + 1\/60*g**5 + 0*g + 5\/24*g**4 + 13*g**2 + g**3. Let m be t(-2). Put 12, -5, m in ascending order.\nAnswer: -5, m, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 1692.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17714*v - 17712*v - 32 = -10*b, -3*v = -3*b + 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -499b2 + 7a8?\nAnswer: -49206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -12, 4, -3 in increasing order.\nAnswer: -72, -12, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/37765 and 117\/56.\nAnswer: 302120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 7) to base 3\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 5*s - 45, 5*q + 3*s = 26 + 11. What is f in 2*f**3 - q*f**2 + 1026 - 1026 + 8*f = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1133331 (base 4) in base 16?\nAnswer: -17fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1935 + 2741*g - 2741*g - 2*g**3.\nAnswer: -2*g**3 - 1935","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2466 = -2*t, 15 = -t + 12. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.144 * -0.1272.\nAnswer: -0.3999168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 724897 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 7711*b - 39. Let o be w(4). Suppose -22*u = -o - 51519. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54\/175 + 9426\/3325. Let h = -470\/171 + m. Let s = 0.043 - -0.257. Which is the smallest value? (a) h (b) -0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3 (b) -174 (c) -1 (d) -5 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w - 52*w + 8468 = 0. Suppose n - 114 = -4*g, 0*n = 2*g + 3*n - 52. Calculate the highest common factor of g and w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r = 3*v, 2*r - 8 = -4*v. Let c be (1\/(r - (-117)\/29))\/5. Is 6 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 4*h**2 - h**2)*(-2*h - 2*h + 3*h) + (5*h**2 - 37 + 37)*(17*h + 41 + 21*h - 39).\nAnswer: 191*h**3 + 10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -7*m**2 + 1. Let x be (2\/(-3))\/((-3)\/(-9)). Let k be 4\/(0\/(-1) - x). Suppose -7 = t - k*a, -2 = 5*t - 2*a + 1. Give b(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17000 + -14990. Calculate the highest common divisor of 30 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1824.56 microseconds?\nAnswer: 1.82456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by -475\nAnswer: -28\/475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 222529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**4\/6 - 10079*t**3\/6 - 10085*t**2\/6 + 16801*t\/2 - 5040 = 0.\nAnswer: -3, 1, 10080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (0 + 2)) + 1 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q + 12 + 92 = 0. Let b(a) = a**3 - 5*a**2 + 5*a - 2. Let d be b(4). Factor -q*w**4 - 2*w**3 + w + d*w**4 - 2 - 39*w**5 + 4*w**2 + 40*w**5.\nAnswer: (w - 2)*(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, o: 1, d: 1}. Give prob of sequence dxxo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3321 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - (30 + -85)) + -10?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.6 + -1.602. Let g = o - -0.0066. Round g to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1649 from -5072.\nAnswer: -3423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**6\/3 - 284*s**5\/35 + 225*s**4\/7 + 80*s**3\/3 - 443*s**2\/7 - 276*s\/7 + 4403. Determine v, given that l(v) = 0.\nAnswer: -23, -1, -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -55*u. Let v(i) = -819398*i. Calculate z(v(t)).\nAnswer: 45066890*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 421000 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14391 + -9332. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82.94 - -83.2913. Round i to 2 decimal places.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075947 to the power of 1\/2, to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + -7047?\nAnswer: -7041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-156)\/195)\/(10\/(-15))*40\/(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**3 - 3*t**3 - 2*t**4 + t**4 + (3 - 5 + 0)*(5*t**4 + 6*t**4 - 6*t**4) + 3*t**4 - 3*t**3 + 3*t**3.\nAnswer: -8*t**4 + t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**3 + 3*s**2 - 2*s - 1. Let q(x) = 10*x**3 + 10*x**2 - 7*x - 2. Give 2*q(w) - 7*y(w).\nAnswer: -w**3 - w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121491.237 hours to weeks.\nAnswer: 723.162125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -10. Suppose 0 = -b - s + 25807, -s + 51617 = a*b - 0*s. Suppose 0 = -3*j - 3*v - 38685, 3*j + b = j + 2*v. What is j rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -2029 in decreasing order.\nAnswer: -3, -4, -2029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 2*s - 1210, 5*s - 6 = 9. Let j = 25586\/85 - f. Are -1 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-3) - (3 - (-44)\/(-12)). Let b(v) = 7*v**3 - 4*v**2 + v - 3. Let f be b(m). What is the greatest common factor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4658 - -4658. Let r(i) be the second derivative of n + 5\/12*i**4 - 18*i - 8*i**2 + 0*i**3. What is the first derivative of r(o) wrt o?\nAnswer: 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1262994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3010.\nAnswer: 2, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 152718685*n**3*p**3 - n**2*p + 2537521*p**3 + 2 wrt n.\nAnswer: 916312110*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 6. Let p be u(4). What is the nearest to p in -0.2, -2\/5, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 680 and 10?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/5, -2.9, 4\/9, -2\/7, 5027?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/6, -3\/4, -6, -4, 1\/17 in ascending order.\nAnswer: -6, -4, -3\/4, 1\/17, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*n + 260 = 690, 0 = -t + n + 94. Let y be 2\/(t\/(-23) + 4). Suppose -y = -z - 3*f + 11, 5*z - 4*f = 113. Solve 4*o + z = 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) 1 (b) 0.1 (c) 0.5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 22*n - 17*n - 343, 0 = -4*j - 5*n + 1312. Calculate the highest common divisor of j and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3782*k + 7535*k - 3768*k. Let d(u) = 39*u**2. Determine b(d(x)).\nAnswer: -585*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 923476325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 1:48 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u*u*(u*(u*u\/(u*u**(-3\/16)))\/u)\/u*u*u)*u)*u\/(u*u**19))**(1\/9))**(-44) assuming u is positive.\nAnswer: u**(869\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -5. Let j = -1213 + 3689\/3. Let y = 16 - j. Are y and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 2*d. Let s be u(-3). Let w be 4\/(-14) + (-110)\/154. Sort -2\/9, w, s in descending order.\nAnswer: -2\/9, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 138\/7 + (-4)\/(-14). Suppose 5*c = q, 0*g = -4*g - 2*c + 75200004. Let i be g\/4 + 2\/8. What is i rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16088 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -233918*i**2 - 41891*i.\nAnswer: -467836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/11)\/m)\/m*m)**(4\/41) assuming m is positive.\nAnswer: m**(-32\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7751 is divided by 235?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 4:40 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -528, -564, -602, -642, -684, -728?\n\"Answer: -r**2 - 33*r - 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14595)\/1946*(14\/(-3))\/(-1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/11)*f*f)\/f)\/f**7 assuming f is positive.\nAnswer: f**(-68\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**4\/12 - s**2\/2 + 13*s. Let b(a) = -18*a**2 + 15. Let r(l) = b(l) + 15*t(l). Let o(h) = -h. Determine r(o(n)).\nAnswer: -33*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3399804821.\nAnswer: 7, 29, 233, 71879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306 - 519 = -11*j. What is the remainder when j is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20.999999 + -21. Round d to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 952964, 1905983, 2858988, 3811973, 4764932, 5717859, 6670748, 7623593?\nAnswer: 8576388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 12*n**2 + 14*n + 17. What is the units digit of j(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**2\/7 - 36*g\/7 - 34\/7 = 0.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3108 and 672.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zb when two letters picked without replacement from {z: 1, b: 4, a: 3, m: 2, f: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Suppose -t = q - 4, -4*q + y*t + 26 = -t. Suppose -4*s + 428 = -m + 461, -2*m - 2*s = -16. Which is smaller: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (5 + -4 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 9*k**2 + 15*k - 2. Let l be o(-7). Let q = -0.02 + 0.02. Which is greater: l or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1584 by -4.\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -9. Let a = t - -22. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - ((-12833)\/(-2583) - (-2)\/14). Which is greater: -5 or c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -3*c**5\/160 - 5*c**4\/32 - 3*c**3\/8 + 16*c + 24. Let x(z) be the first derivative of w(z). Factor x(r).\nAnswer: -3*r*(r + 2)*(r + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21826 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13401009 and 3?\nAnswer: 13401009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*((-12)\/8 + -3). Suppose k*v = v + 624. List the prime factors of v.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -11\/4, 2\/5 in decreasing order.\nAnswer: 7, 2\/5, -11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31605 and 1634?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18029.715 months to centuries.\nAnswer: 15.0247625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5334714um to kilometers.\nAnswer: 0.0000000005334714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(4 - 540\/8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 times -73\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 36 - 4. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 35*y + 327. Give r(-43).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c**2 - 5*c**2 + 2*c**2 - 15*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -35151921 times 0.5?\nAnswer: -17575960.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, l: 3, r: 6, u: 3, w: 1}. What is prob of picking 1 l and 1 u?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3*g - 3 = 1, 0 = 3*m - 6*g - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a hour in minutes?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 12*h - 10. Suppose -10588 + 26603 = h*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/18*-2)\/(5*(-37)\/(-18870)*34)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*g - 12*g - 2. Let m be (-6)\/(1872\/140) + g\/(-6). Are m and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -0.2. Let k = 0.01185 + 10.98815. Which is the second smallest value? (a) 3\/5 (b) k (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-224)*-175*(-33)\/275*-5?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*a**3 + 905*a**2 + 90*a = 0. What is a?\nAnswer: -18, -1\/10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 5*g = 29, -g = -2*g + 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 3\/2, 3\/20, -0.1598?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/63 and 64\/27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 q when two letters picked without replacement from {q: 1, j: 4, m: 3, f: 1, e: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -169, 1, -5, 428 in decreasing order.\nAnswer: 428, 1, -5, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 6:19 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**6\/120 + 2*j**4\/3 - 18*j**3 + 101*j**2 + j. Differentiate v(n) wrt n.\nAnswer: 3*n**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21536 rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9318707 rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 0. Suppose o + 25 = -y - y, 0 = -2*y + 3*o - x. Let d = y - -27. Calculate the remainder when d is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 3. Suppose y*k = 4*k - 8. Find the second derivative of -k*p**4 + p**5 + 4*p**4 + p wrt p.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/5, 0.5, 6, -366.39, 0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + (4 - -3) - (-149 + 148)) + -2 + -46?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5668339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 58*u - 60*u = -2*t - 142, 3*u + 1370 = 1559 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*g + 397*g - 13156 = 387*g for g.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -12. Suppose 0*z = 2*z + u - 35, 0 = 3*z - q*u - 59. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/144 and 87\/2240.\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 + 54. Let f be 38\/w - (-6)\/(-9). Is 13 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.57 - -1.6. What is the second smallest value in 0.4, o, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4576, 36554, 123312, 292228, 570680, 986046, 1565704, 2337032?\n\"Answer: 4563*b**3 + 12*b**2 + b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.6880811.\nAnswer: -0.27523244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4731576?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2698.\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 369637.1 rounded to the nearest 100?\nAnswer: 369600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*l - 10, s - 20 = 3*l - 0*l. Is s less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*c - 11*c = -133*c + 2026655. List the prime factors of c.\nAnswer: 5, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3256781, 6513623, 9770465?\nAnswer: 13027307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 373 - 363. Put j, -3, 4 in descending order.\nAnswer: j, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b + 0*b + 5*b - b. Let g(p) be the first derivative of 2\/3*p**3 + 2 + 0*p**2 + 0*p. Determine g(f(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**2 - 4*o**2 + 2*o**2)*(-o + 3*o - o) + 2*o + 575*o**2 - 575*o**2 - 32*o**3 in the form c*o**3 + y + v*o + i*o**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1657, -86, 65, 4 in ascending order.\nAnswer: -1657, -86, 4, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 15*h**3 - 11*h**2 - 6. Is y(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 4012833, 4 in decreasing order.\nAnswer: 4012833, 4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 69.2772 and 7.\nAnswer: 76.2772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -876403*l**2\/3 + l.\nAnswer: -l*(876403*l - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 107\/50, 2, 0.38, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 5) to base 16.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000227526 to five dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/7903 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11336, 45049, 101232, 179879, 280984, 404541?\nAnswer: 550544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -3. Suppose -22 = 4*c + 26. Let a = c + v. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2960529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 12*l**2 + 8*l - 16. Let v(m) = -m + 6. Let u(w) = -5*w + 39. Let f be u(9). Let j be v(f). What is the tens digit of k(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1044*g**4 + 4*g**2 - 19 wrt g?\nAnswer: -25056*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 93863.45 tonnes?\nAnswer: 93863450000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 0.4, 0.3, -4, 3, 8 in descending order.\nAnswer: 8, 3, 0.4, 0.3, -4, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -879325?\nAnswer: 4\/175865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 4. Let v be i(-8). Suppose 15 = -5*p, -3*o - 8 = v*p - 23. Solve 2*y + y = 5*a + 5, -o = -4*a + 5*y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 13*t - 113. Let k(z) = -27*z + 226. Let v(y) = -7*f(y) - 3*k(y). Calculate the least common multiple of 6 and v(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105 + 293. Suppose -j = -3*i + i. What are the prime factors of i?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17 (b) 0.505 (c) 2971\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 783498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, l: 1, o: 4}. What is prob of picking 1 o and 1 l?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23271217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (88\/99)\/((-2)\/(-3))*(-198)\/22\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4\/7)\/z*z**(1\/24) assuming z is positive.\nAnswer: z**(-257\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q = 29*q + 57*q. Solve -2*u - 10 = q, -5*u - 5 - 5 = 3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3510?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -7*b + 3*b + 4*w, 3*b = -4*w + 16. Let v(p) = 4 - 6*p + b*p - 1 + 0. Let c = -7 - -9. What is v(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 3*b - 244 = 0. Let v = 23 + b. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0*j - 2*j)*(-8*j - 2*j + 3*j).\nAnswer: 14*j**2 + 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1355 and 21409.\nAnswer: 107045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 3*n - 38, -5*i - 5*n + 1304 = 1374 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7c + 8e840?\nAnswer: 8e8bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 29.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 881635 (base 13) in base 5?\nAnswer: 1304431322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i**3 + 2*i**3 + 0*i**3)*(1 - 1 + 2)*(76 - 491 + 81 - 552) to r + w*i + f*i**3 + y*i**2 and give f.\nAnswer: -1772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a meter in centimeters?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 80*q**3 - 480*q**2 + 2095*q - 2625. Let r(s) = -13*s**3 + 80*s**2 - 349*s + 438. Let z(l) = 4*n(l) + 25*r(l). Let z(t) = 0. Calculate t.\nAnswer: 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -1\/30 (c) 7 (d) -8 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -435 divided by 87.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g - 18. Let x be r(8). Let c(v) = -v**2 + 9*v. Calculate the remainder when -16 + 0 - -61 - (-18)\/3 is divided by c(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -110*q**2 + 774*q - 29. What is v(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w - 2. Let z be n(-4). Suppose z*u - 24 = 7*u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10, 65, 272, 677, 1346, 2345, 3740, 5597?\n\"Answer: 11*m**3 - 2*m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 15. Let n(u) be the third derivative of 0*u**5 + 0 + c*u**4 + 0*u + 1\/120*u**6 - 2*u**2 + 1\/6*u**3. Differentiate n(y) wrt y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8665697 by 6.\nAnswer: 8665697\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 1. Let d(b) = 1. Let w(y) = -d(y) + k(y). Suppose 2*t + 3*c - 17 = 0, 2*t - c = 7*t - 62. Let l(h) = -7*h + t*h + h. Give w(l(f)).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 5:05 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t. Suppose 163 = 5*f - 0*o + 2*o, -5*o = 5. Let s = f - 27. Let n(x) = s*x - 4*x - 3*x**2 - 2*x. Calculate k(n(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**1*d*d)**(-10\/11))**(2\/33) assuming d is positive.\nAnswer: d**(-80\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2164469*d**3 + 1249*d**2 + 453*d wrt d.\nAnswer: 12986814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -234.1, -847, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2186 from -157662.\nAnswer: -157662.2186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + 0*f + 0*f)*(-26315 + 26315 + 133*f**3) - 2*f**4 + f**4 + 0*f**4 in the form z*f**3 + q + y*f**2 + p*f**4 + t*f and give p.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7218903 by -5.\nAnswer: 7218903\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48085, -93973, -139887, -185839, -231841, -277905, -324043?\nAnswer: -370267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132 (base 4) to base 16.\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -3*r**4\/4 + 5*r**2 - 10*r. Differentiate l(a) with respect to a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70 + (41 - 59) + -108.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2896 divided by -4.\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*y + 2424 = 0, -2*z - 2*y = y - 1212. Let g = -4793\/8 + z. Calculate the common denominator of 4\/15 and g.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(-2)*(12 + 0). Let o = -14 - v. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1 = -m + 12, 3*j = 0. Let d be 6\/(-3)*m\/(-2). Suppose -4*y + 45 = 3*x - 6*y, -2*x - 3*y + 17 = 0. What is the highest common divisor of x and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(-126)*6 - (-23)\/3. What is the greatest common factor of z and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-3)*63\/28. Solve q - 6*l + i*l = 0, -4*l = -3*q + 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00034564 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 26*s**3\/3 + 9*s**2\/2 + 5*s - 1234. Let f(x) = -17*x**2 - 6*x - 3. Calculate 8*f(r) + 5*l(r).\nAnswer: -6*r**2 - 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from depeh. What is prob of sequence depe?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40274217 by -113.\nAnswer: -356409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14a4646 (base 12) to base 11\nAnswer: -2406992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -9720, 2, -4.318 in decreasing order.\nAnswer: 2, -4.318, -9720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 1:44 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12055460 (base 7) in base 13?\nAnswer: -2b73c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 326598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405 - 139 + 4*r + 31.\nAnswer: 4*r - 513","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33661160.\nAnswer: 2, 5, 13, 19, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 6256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from japwjjappwpappaww. What is prob of picking 4 w?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x + 8. What is the lowest common multiple of 5 and q(0)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 183407 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 34 = 5*v, -5753 = -3*v - 2*z - 5756 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81 or -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -683840 by 7.\nAnswer: -683840\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10011478559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 4113.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2229 and 7940441?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7179949 or 7179946?\nAnswer: 7179949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19568 = 163*f + 27718 for f.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*s + 43 = 0, -2*y + 0*y + s = 17. Let k = y - -19. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 (base 13) in base 14?\nAnswer: 2b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 3*i**5\/20 + i**4\/6 - 3*i + 2. Let h(c) be the first derivative of g(c). What is the third derivative of h(r) wrt r?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -217, -433, -651, -871, -1093?\n\"Answer: -p**2 - 213*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4332*n - 142944. Determine j(-33).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**2 - 13*t + 13. Let j(h) = -2*h**2 - 12*h + 12. Let o(g) = -4*j(g) + 3*s(g). Give o(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 6. Suppose -29*c + 35*c - 6 = 0. Sort f, c, -3\/5, -0.3.\nAnswer: -3\/5, -0.3, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -28*v - 362. Let l(b) = 10*b + 120. Give -4*i(t) - 11*l(t).\nAnswer: 2*t + 128","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5675 rounded to two dps?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1210100 + 3?\nAnswer: -1210031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1944819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4274.9992188 + 4275. Round c to 5 dps.\nAnswer: 0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-294*h + 601*h + 753*h - 1909*h - 2219*h)*((1 + 2 - 4)*(2 - 5 + 4) - 4 + 3 + 3) to k + z*h and give z.\nAnswer: -3068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*j*m*y**3 + 12*j*o*y**2 + 2*j*o*y - 2*m*o + 2*m*y**2 - 11*o*y**3 wrt y?\nAnswer: -132*j*m - 66*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 0*x + 25*x - 27 + 16. List the prime factors of a(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 2*u - 49 - 62, 2*u - 96 = -4*h. Calculate the remainder when 459 is divided by h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**3 + 1158128*k**2 - 9264768*k = 0. Calculate k.\nAnswer: 0, 8, 289524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4152 and 2844?\nAnswer: 984024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 3:58 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000144801142 rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 133*y**4 + 342*y + 267. What is the derivative of n(h) wrt h?\nAnswer: 1596*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -938 and -187.\nAnswer: 175406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z - 25. What is y(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3966430, 3966429, 3966428, 3966427, 3966426?\n\"Answer: -x + 3966431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*h = -78*h + 168. Sort -2, 2, -1, h in decreasing order.\nAnswer: h, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - a + 14. Let c be h(3). Suppose 33*f + 3*t + 975 = c*f, 2*t = 5*f - 980. What is the smallest common multiple of f and 99?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -556702 and 3.\nAnswer: -1670106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 4 + 7 - 4*f)*(4*f + 0*f - f) to a*f**2 + q*f + v and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 512.2 - 512. What is the closest to 1 in -3\/5, 0.4, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5927403, 11854855, 17782307, 23709759?\nAnswer: 29637211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 384 - 365.9. Let f = -14.1 + s. Which is the biggest value? (a) -1 (b) f (c) 112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000243552177 to six decimal places.\nAnswer: -0.000244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451032.\nAnswer: 2, 3, 18793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 50*z**2 - 49*z**2 - z)*(3 - 3 - 2).\nAnswer: -2*z**2 + 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.8 - 9.2. Let i = 0.6 + -0.1. What is the closest to -2\/7 in -4, m, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*h - 7*h - 7*h - 39*h**3 + 1 - 10*h in the form q*h**3 + l*h + n*h**2 + u and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**2. Let t = 65\/24 - 21\/8. Let r(s) be the third derivative of 0 + 0*s**3 + t*s**4 + 0*s - 3*s**2. What is r(h(a))?\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 226*m**2 - 355*m**2.\nAnswer: -581*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/15)*t**0)\/(t*t**(1\/4)\/t*t)**(10\/3))\/(t**(-3)*t\/(t\/(t*t**0)*t)*(t**0)**0) assuming t is positive.\nAnswer: t**(-31\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34150 or -34244?\nAnswer: -34150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -111*b**5\/20 - 27*b**4\/4 - b**2 + 400*b. Find the third derivative of f(j) wrt j.\nAnswer: -666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18a (base 16) to base 8.\nAnswer: -612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 - -66. Let i be 2 - 0*(-1)\/3. Solve -i*y + m + 2 = 0, 5*r - 3*y - 17 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -128681684 from -1145.\nAnswer: 128680539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 23 + 5 = 0. Let h = 40 + b. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-169118)\/(-8) + (-45)\/60 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/112*(-392)\/14.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 - 8 - 2*b**2 - 12 - 3*b + 19 to f*b**3 + r*b**2 + k + w*b and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 13*j**2 + j + 8. Let r be b(-13). Let t be ((-4)\/12)\/(r\/315). Let u be (-443)\/(-7) - 4\/14*1. What is the highest common factor of t and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -659*q**2 + 3 - 659*q**2 - 10*q - 6 + 1299*q**2 + 3*q**3. Suppose 3*v - 3*i = 4*v - 19, -5*v - 2*i = -43. Is 5 a factor of g(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 725781?\nAnswer: 3, 7, 17, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5917485659 rounded to four decimal places?\nAnswer: 0.5917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/368)\/(52\/(-1872)). Let a = 1009\/230 + -43\/10. Let v = l - a. Which is greater: v or 2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59 - 150*c**3 + 11*c - 9*c + c - 576*c**2 + 2*c**4 + 571*c**2 wrt c.\nAnswer: 24*c**2 - 900*c - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*(-2 + (-7)\/(-3)). Let n be ((-2)\/m)\/(1\/4). Suppose 0 = -9*i + n*i + 235. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.73*3.\nAnswer: 23.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3135*d - 6274*d + 3140*d - 3*d**3 - 15 to the form j*d + u*d**2 + x*d**3 + l and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**3\/3 + l**2\/2 - l + 26108. Let f(a) = -3*a**2 + 4*a - 4. Let h(i) = 4*i**2. Let r be h(1). Calculate r*q(n) - f(n).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**4 - 2*h**2 + 93 + 3*h**3 - h - 104 + 8 as p*h**4 + x*h + i*h**3 + c + k*h**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21 + -122?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 33\/5 (b) -2\/9 (c) 82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**8\/840 + l**7\/420 + l**3\/2 + 3*l. Let g(q) be the second derivative of b(q). Suppose g(o) = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*l + 548*l - 1381*l + 3578*l + 2754*l.\nAnswer: 5599*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/5 - 674072*g\/5 - 674076\/5.\nAnswer: 4*(g - 168519)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)\/j**(-2\/5)*j**(-1\/4)*j**3)\/((j**(2\/3)*j)**(-6)\/(j\/j**(1\/2)*j**(3\/5))) assuming j is positive.\nAnswer: j**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/10)\/(49\/14).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -d + 3*h, 7*d + 4*h - 528 = 3*d. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2586166*t. Let g(w) = -21*w**2. Determine g(i(a)).\nAnswer: -140453346170676*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkv when three letters picked without replacement from {v: 1, b: 1, k: 8, z: 1, e: 4}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -217*b + 260. What is the hundreds digit of y(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 0 + 1\/30*s**5 - 1\/24*s**4 - 2*s**2 + 0*s**3 + 0*s. Find the second derivative of t(y) wrt y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 - 2*s + 4. Let l be p(3). Suppose 2*c + 2*c - 3 = -5*w, -5*c = 2*w - l. Solve 0 = -5*m + 3*v + 2, m - 3*v - 5 = -c*v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-296)\/(-32) + -5)\/(13\/52)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1430105 + 5?\nAnswer: 1430113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 86199 equal to 86244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12402516 less than 37207544\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-10)*d)\/d**(-3))\/(d\/(d\/(d\/d**(-8)))*(d\/((d\/(d*(d\/d**(-2\/25)*d)\/d*d))\/d))\/d))**(-13) assuming d is positive.\nAnswer: d**(5876\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**2 + 1. Let u(d) = -15*d**2 + 0*d + 238 + d - 234. What is 22*g(y) - 6*u(y)?\nAnswer: 2*y**2 - 6*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -31092, -61892, -92690, -123486?\n\"Answer: j**2 - 30803*j - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -40 - -4*(-114)\/(-24) - -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpyvupu. Give prob of picking 1 p, 1 c, and 1 u.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3659, 4740, 5829, 6926?\nAnswer: 8031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000980751174 to six decimal places.\nAnswer: -0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 225897991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) 2 (c) 0.3 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 36. Suppose 0 = 2*z - m*z + 6. Solve -4 = v + p, 4 + 0 = -z*p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.109 * 1057.\nAnswer: 115.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1. Let x(d) = d - 3. Let k(l) = -6*m(l) - 2*x(l). Let p(n) = 7*n**2. Give k(p(z)).\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 14, 30, -3, -21, 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29625 by -8.\nAnswer: 29625\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24633021.999889 + -24633034. Let z = -12 - x. Round z to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32273.7 centuries to decades.\nAnswer: 322737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 204.5 and -1602174.24.\nAnswer: -1601969.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*15\/10)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 1. Let b(k) = -k**3 - k**2 + k - 1. Let s be b(i). Let w = s + 3. Solve -1 + 5 = -w*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*r - 54 = -566. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30240 and 143304?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 37 = -2*m. Let r = 88 + m. Let h = r + -59. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6075.58407 from -0.5.\nAnswer: -6076.08407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22587 or 22580?\nAnswer: 22580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -20*k - 10. Let w(b) = -b - 1. Calculate -2*s(x) + 22*w(x).\nAnswer: 18*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506 = -5*i + 3*k, 0 = -3*i - 2*k + 38 - 353. Let n = i + 106. Factor -3\/8*l**2 + 15\/8*l**n + 0 + 0*l.\nAnswer: 3*l**2*(5*l - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y**3 - 10*y**2 - 23*y - 24. Does 53 divide b(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -80477022.3 to the nearest ten thousand.\nAnswer: -80480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/((1*sqrt(30))\/sqrt(3)))\/(sqrt(6)\/sqrt(432)).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46 + 46 + 41*x + (-1 - 2 + 0)*(x + 0*x + 0*x) + x - 5*x + x.\nAnswer: 35*x","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/99266525?\nAnswer: 2\/99266525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -1)*(-4)\/(-2). Suppose -5*s + 42 = -a*s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*w + 52*w + 5*w**2 - 32*w**2)*(2*w**3 - w**3 - 2*w**3).\nAnswer: 27*w**5 + w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (3 - (22 + -28 + (1 - -1))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 7 - (-2 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 617 + 473. Round s to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 - 394273578*q - 12954304525743507.\nAnswer: -3*(q + 65712263)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16584319 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -40708, -81024, -120948, -160486, -199644, -238428?\n\"Answer: -d**3 + 202*d**2 - 40915*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 711874 to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b - b**2 + 0*b)*(2*b + 1 - 1) - b**3 - b**3 + b**3 - 11937 + 11937 - 64*b**3 to the form j + d*b + t*b**2 + q*b**3 and give q.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417254 is divided by 5769?\nAnswer: 1886","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*-5*(sqrt(99)\/sqrt(36) - -2*sqrt(1100))*1 + -1).\nAnswer: -1025*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v - 29. Let o(f) = f + 10. Suppose 8 = -d + 3*d. Determine d*p(k) + 11*o(k).\nAnswer: -k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**2 - 1\/2*d**3 + 18 - 33\/2*d = 0.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -780300.4097 rounded to the nearest ten?\nAnswer: -780300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjejjrje. What is prob of sequence ej?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(0 + -3) - 1. Let c be 3 + (1*-2 - n). Suppose -2*z - 2 = 4, c*p = 3*z + 49. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -526*q**5 - 510*q wrt q.\nAnswer: -10520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 389593 and 131872.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-4)*(-3)\/2. Which is the closest to 5? (a) m (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*j + j. Does 5 divide 53\/3 + j\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 491285858*m**4 + 1842321842116*m**3 + 1727176374341258*m**2 - 440803095000*m + 28125000 = 0. What is m?\nAnswer: -1875, 2\/15673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 11725.\nAnswer: 82075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31288286 and 718.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2\/13*h**2 - 7908\/13*h + 7817058\/13 = 0.\nAnswer: 1977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 + 180 + 23*c**2 - 180 + 6*c**3 - 19*c**2 - 22*c**3.\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9375072 divided by 27902\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 11. Suppose -d + a = o - 4*d, 4*d = -2*o - 12. What is the third derivative of -r**3 - 7*r**o - r**3 + 3*r - 3*r wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -7, 2\/7, -0.4, 12 in increasing order.\nAnswer: -7, -0.4, -0.3, 2\/7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041 (base 8) in base 5?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 300 + 48. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020200212102 + 1?\nAnswer: 2020200212110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1026\/(-95))\/((-4)\/50). Calculate the greatest common divisor of 1710 and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 104693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 6. Let u(f) be the second derivative of -f**4\/4 - f**3\/6 - 17*f**2\/2 - f. Let h(l) = 8*o(l) + 3*u(l). Let w be -2 + (-2 - (2 - 2)). Give h(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 4*z + 8, 2*o - 4*z - 1568 = -1580 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 43164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*r + 13, -2*p - 2*p + 59 = r. Suppose -2*s - u = 3*s - 19, 4*s - p = -2*u. Factor 0 + 0*k**3 + 0*k**2 + 0*k - 2\/5*k**5 + 0*k**s.\nAnswer: -2*k**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 7. Let h(d) = -d - 13. Let y(l) = -6*h(l) + 11*n(l). Calculate y(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14547, -14526, -14479, -14394, -14259?\n\"Answer: 2*p**3 + p**2 + 4*p - 14554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-1 - 93 - -30).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 247866859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1822, 7280, 16376, 29110, 45482, 65492?\n\"Answer: 1819*h**2 + h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 50797997, 50797996, 50797995?\n\"Answer: -g + 50797998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*w + 63 = 10*w. Let p be w\/(-30) - (-27)\/180. Which is the closest to -5? (a) p (b) 2\/15 (c) -5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5992*t**2 + t - 10. Let o be j(4). Is 0 - o\/4 - 33\/66 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -177, -53, -1, 78, 3.\nAnswer: -177, -53, -4, -2, -1, 3, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1163258 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*q**4 + 97*q**3 - q**2 - 4322*q.\nAnswer: 504*q + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from miuiiituiiiuu.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34.79 + -34.8. Put z, 0, -5 in descending order.\nAnswer: 0, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**2\/2 + 2*n + 96. Let z(c) = 3. Let t(g) = 3*r(g) - 2*z(g). Let b(k) = -5*k**2. What is b(t(s))?\nAnswer: -45*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 3*s**5\/160 + 61*s**4\/32 - 1341*s**3\/16 + 19197*s**2\/16 - 3321*s. Factor p(b).\nAnswer: 3*(b - 9)**2*(b + 79)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2)*(1 - 1 - v) + (1 - 4 - 3)*(-2 + 2 + v))*(302 + 949 - 327).\nAnswer: -3696*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.09, -0.04, 12, -4, 0.1?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/645 and 89\/4366650.\nAnswer: 4366650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + 3*q**2 - 46*q - 5*q**2)*(-27*q + 29 - 57 + 30).\nAnswer: -27*q**3 + 1244*q**2 - 92*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 12:48 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45*m**5 + m**2 - 4*m**2 - 48*m**5 - 5*m**5 + m**5 + 2*m**5 + 5*m**5 + 2*m**5 - 3*m**5 + (-4*m + 3 - 3)*(-m + m + 2*m**4).\nAnswer: -9*m**5 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-45))\/1*(-4 + -2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87050 divided by 5.\nAnswer: -17410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-62)\/(-15))\/(13\/65). Let i = d + -20. What is the smallest value in 0.5, 9, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 109 (b) -1\/4 (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25257618271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*h + 684 = -48*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17415861 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 448*l + 122013*l**3 - 122018*l**3 + 2*l**2 - 58*l in the form a*l**2 + h + f*l**3 + q*l and give q.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2 = -2. Let h be (1 + 4\/b)*9. Let u(f) = -f**2 - 9*f + 9. Let r be u(h). Solve -d + 1 = 5*q, 29 - r = -5*d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63798 by 2058.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -210444917 take away 71633?\nAnswer: -210516550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 137*h**2 - 1730*h + 1017. Determine b(123).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 + (-64 - 30) + -39.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8896178 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 32*t + 349317 = -444934. What is the thousands digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49268\/11 - 4479. What is the nearest to u in -3, 3, 2\/3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*z**2 - 851*z**3 + 875*z**3 + 35*z**2.\nAnswer: 24*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4.94, -4.2, -3?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195*g - 42*g - 972 = 99*g. Solve g*i + 4*i = 154 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-836)\/(-26961))\/(4\/6)\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 13*n**5\/3 + 320*n**4\/3 + 233*n**3 - 1196*n**2\/3 - 2644*n\/3 - 352 = 0.\nAnswer: -22, -3, -1, -8\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11010101100001010 (base 2) to base 15\nAnswer: 225d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 421852*b**3*f**3 - 6*b**3*f**2*j**2 + b**2*f**3*j**2 + 2*b**2*f*j**2 - 3073*b*f**2*j**2 + b + 52*f**2*j**2 wrt b.\nAnswer: 2531112*f**3 - 36*f**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - k + 23 = 20, 7*l + 11*k - 9*k = -20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 7 = 3*k, 8 = -2*t - 3*k - 3. Let q(a) = -a**t + 0*a**2 - 7 + a + 5. Let z be q(0). Let s(g) = -g**2 + 2*g + 2. Give s(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 209083?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 3*u**2 + 3*u - 3. Let c be n(-4). Let g be (-15 - -13)\/(-3 + c). Sort 3, g, -1 in descending order.\nAnswer: 3, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 3*r - 135. Let i be (-16)\/(-48)*(3 - -21). Suppose -i*s = -7*s - r. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 96 = n - 2*j, 5*j = -5*n + 390. Find the common denominator of (-284)\/(-12)*(-3)\/n and -1\/9.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21\/4? (a) -0.046 (b) 1.28 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2\/7 (c) -16677 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10, i: 4, l: 5}. What is prob of picking 2 s and 2 l?\nAnswer: 75\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 47.52385um?\nAnswer: 0.004752385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2154 + 51?\nAnswer: -2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/15 or 41644?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a. Let u(h) = -2*h. Let c(j) = 2*f(j) + 3*u(j). Let v(n) = -20*n**2 + 11*n. Let i(x) = -4*x**2 + 2*x. Let b(l) = 11*i(l) - 2*v(l). Give b(c(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(640)*-3 + sqrt(10))\/(sqrt(5) + sqrt(605)*5 + sqrt(5)).\nAnswer: -23*sqrt(2)\/57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 2 (b) 0 (c) 1\/9 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**3 - 20*q**2 - 17*q + 5. Determine c(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109098, 109076, 109054, 109032?\nAnswer: 109010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-18 - -36) - (-17 + 10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u + 31. Calculate k(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/23, 79, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -101, 2, 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*b + 101393 = 157*b. What are the prime factors of b?\nAnswer: 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 1712648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 128 + 218a?\nAnswer: 22b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 12*q**2 + 17596*q - 17584*q - 3*q**2. Let c(p) = 14*p**2 + 18*p. Calculate -5*c(y) + 8*k(y).\nAnswer: 2*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53 or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467851449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -119 + 46 + 36 + 4?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + g**2 + 1. Suppose 5*b - 3*b = -4*y, b - 6 = -5*y. Let i(a) = -a**y + 0*a**2 - 3 + 0 + 2. Give -2*i(q) - 2*p(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -204\/94153?\nAnswer: -204\/94153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times 0.05?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41223324140 + -10?\nAnswer: -41223324200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 10:11 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -370, -281, -110, 161, 550?\n\"Answer: 3*r**3 + 23*r**2 - r - 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*c + 3459, -3*k = -c + 5*c - 4613. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 8*p - 46 = -4*p, -4*z + 44 = 4*p. Solve -3*h - 3*l = -2 - z, 4 = h - l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -64 (b) -5 (c) 56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 + -63?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2419819?\nAnswer: 2419819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45 + 27*q + 44 - 16*q - 165*q - 2*q**2 - 2*q**3 to the form b + l*q**2 + h*q + s*q**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -7*a**3 - a**2 - 1. Determine i(-3).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6452?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/((-11 - 4)\/5) + 0. Let p be (-3)\/(-42)*6 + 0. What is the closest to 3 in h, 1\/9, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(550)\/(sqrt(30)\/sqrt(3)))\/sqrt(11)*-2)**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7835 by 1.\nAnswer: -7835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.26, -233, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -874, -1749, -2628, -3511, -4398?\n\"Answer: -2*u**2 - 869*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1376 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -367, 33 in descending order.\nAnswer: 33, 6, -367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -3 - -1 - -1. Let k be (3\/(9\/(-6)))\/(-1). Let t(j) = j**2 - j. Let q be t(k). Solve -q*u + o*p = -2*p, 4*u + 20 = -2*p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 2 + 18 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*t**4 - 65*t**3 + 5*t**2 - 83910*t wrt t?\nAnswer: 48*t**2 - 390*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2734518360?\nAnswer: 2, 3, 5, 7, 3255379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 + 6*i. Let s(u) = -2*u**2 - 7*u. Let d be 7 + -9 - 1*-2. Let q = d + -3. Let p(c) = q*a(c) - 2*s(c). Let p(w) = 0. Calculate w.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1503478000 to the nearest 1000000.\nAnswer: 1503000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/5)*t)**(-1\/42))**(-34))**(6\/7) assuming t is positive.\nAnswer: t**(102\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0988 at most -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 67306419\/2 - 2\/(-4). Suppose 0 = 5*w + 3*u + 92000015, 4*w + 39946765 = 5*u - a. What is w rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (48 + 0 + -3)*-9. Let o = 391 + i. Suppose 3 = -3*v - 0, -v = -2*y - 9. Which is the third smallest value? (a) o (b) 1\/11 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6 + (-6)\/9. Suppose 0 = -0*s + s. Find the third derivative of n*g**5 + s*g**2 + g**5 + g**2 - 3*g**2 wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + -5 + 20\/(-4). Let l be 212 - 6\/((-12)\/d). Calculate the common denominator of -53\/20 and (-231)\/l*(-5)\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*a = -54*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f - 4*f**2 + 0 - f**3 - 4 + 1. Let o = -19633 - -19630. Let z be t(o). Solve z*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 123.1 - -7.9. Let f = y + -130.5. What is the fourth smallest value in f, -4, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101001010001001 (base 2) to base 3.\nAnswer: -100101201201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -19*x + 1092. Calculate u(58).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-12)*(-318)\/(-106)*(-15)\/((-1350)\/260).\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-108 + 44 + 27)*((b - 3*b + 3*b)*(-1 + 1 + 2) + 14*b + 29 - 29 + 3*b - 3*b - b).\nAnswer: -555*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10090 in 2, 1, -1.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/78)\/((-9 + 3)*(-10)\/(-560))?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwz when three letters picked without replacement from {z: 1, q: 3, w: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*g + 77*g = 22*g + 200. Let h(d) be the first derivative of 5\/3*d**3 - 27 - d + 0*d**g. Determine h(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -63 - (5 - (-4 + -1 + (15 - 10))).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 3*p**2\/2 - p + 1. Let h be o(-3). What is the units digit of 75\/h*4\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 944.5787439 rounded to the nearest 10?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 6 (b) 2\/15 (c) 18 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by -11141.\nAnswer: 66\/11141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-22)*(-226149)\/1246.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 119738 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + d + 1. Let f(m) = 4*m**2 + 9*m + 3. Let g(i) = -f(i) + 3*y(i). Give g(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 300286 + -3?\nAnswer: 300283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -306 less than -1219\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3375 - 0.4825. Which is the third biggest value? (a) -5 (b) 3 (c) -3 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**3\/2 - 4239*u**2\/2 - 1486773*u\/2 + 7540215\/2 = 0.\nAnswer: -709, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from cojcocwdvjco.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 6*x**4 - 296*x**3 + 147*x**3 + 151*x**3 + x**2 to i*x**2 + l*x + b*x**3 + d + q*x**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 - 305?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 12:36 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(128) + 0) - ((sqrt(128) - (-1 + sqrt(128) + -3)) + sqrt(128) + sqrt(128)) - 6*(sqrt(128) + -2*sqrt(128) + sqrt(128))*4)*-4 + -1)**2.\nAnswer: 5760*sqrt(2) + 73953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 29 = 3*t - 2, 0 = -2*j + 4*t + 8 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 - -6.95. Let w = -6.95 + t. Round w to three decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**6\/120 - y**5\/10 - 23*y**4\/24 - y**3\/6 - 9*y**2 - 4. What are the prime factors of m(-8)?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-9)\/(-189)*3\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 299\/(-39)*7\/(-7)*(-9)\/(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 10\/9, 2, -171?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1480471 is divided by 207.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, h: 6, c: 9}. What is prob of sequence bhhb?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 1. Let o(h) = 21*h**2 - h + 3. Determine 2*d(y) - o(y).\nAnswer: -21*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-41820)\/2380 + 18\/1. Let j = 1 + -1.3. Which is the nearest to 1\/5? (a) j (b) k (c) 15 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 7*j**2 + 0 + 2\/3*j**3 + 22*j. What is the first derivative of k(w) wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 7:22 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15660 and 59950830?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 3 - 3)*(1 + 2 + 0) + 3 - 7 + 3)*(-3*a - 5*a - 4*a) as i*a + y and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 164, 174, 174, 152, 96?\n\"Answer: -2*y**3 + 7*y**2 + 3*y + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13439656 is divided by 836?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2747 is divided by 275.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (268 - 193) + 1080\/(-8)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-58768))\/((-21)\/4803276). Let q = 6\/3673 + g. What is the common denominator of -79\/6 and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/21, 1\/2, 1, 0.178, 5\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/18*5\/((-175)\/(-21)))\/(2\/216).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -28 and -33 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2156 and 2110372.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405 is divided by 94?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + -7 - 172\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 17. Let y be i(10). Suppose y*q + 4 = 4*r, -5*q + 16 = -3*r + 2*r. Solve 4 = q*p, 0*p = 5*x - p - 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -34 + 9 + 712 + -673?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60887777 to the power of 1\/2, to the nearest integer?\nAnswer: 7803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0.1, -2.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5558, -443 in descending order.\nAnswer: 5558, 2, -443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66123 and 94815?\nAnswer: 696605805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/(159\/(-106))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 7 + (17 - (43 + -5))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, c: 2, v: 2, j: 1, d: 1}. Give prob of sequence cdcj.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrjjrrjjjrrrrrrr. What is prob of sequence rj?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/3*-1*69?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 628693135?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -4*c - 102. Suppose -151 + c = -5*j. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 189\/(0 - 3\/(-2)). Let t = l + 853. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 97644517.\nAnswer: -2\/97644517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 109, -5, -2, -1.\nAnswer: -5, -2, -1, 0, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - n. Let m(k) = 22*k**2 + k + 6. Let p(l) = -m(l) + 5*w(l). Let r(a) = 6*a**2 + 2*a + 2. Calculate 4*p(i) + 11*r(i).\nAnswer: -2*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1481 + 2093. List the prime factors of r.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27347*u**2 - 113786*u**2 + 0 + 0.\nAnswer: -141133*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -49716, -98415, -147114, -195813, -244512?\n\"Answer: -48699*r - 1017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18852 - 18852 + 669*w.\nAnswer: 669*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 30103405350?\nAnswer: 30103405344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001110001100 - -1000001?\nAnswer: 100001111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-6*sqrt(1225))\/((sqrt(112) + sqrt(7))*-2)*3 + 5)**2.\nAnswer: -90*sqrt(7) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqqs when four letters picked without replacement from sqsqs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.052 - -5704.996834.\nAnswer: 5704.944834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -9*g**2. Let p(w) = w - 9. Let m(h) = 2*h - 50. Let y(t) = m(t) - 4*p(t). What is b(y(k))?\nAnswer: -36*k**2 - 504*k - 1764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27786522 is divided by 154?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*p + 41*p + 31*p + 60*p to the form k + q*p and give q.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**3*s**3 - 61480999*b**3*x - 3747*b**2*s**3 - 57*b**2*s*x - 111*b**2*s wrt b.\nAnswer: -12*s**3 - 368885994*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1309, -1303, -1285, -1249, -1189, -1099, -973, -805?\n\"Answer: q**3 - q - 1309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 78*d**3 + 2*d**2 - 1. What is the units digit of p(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6858 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1087 - -1974. Suppose t + 4645 = 5*q, -5*q = t - 5532 + x. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*d + 834 = -172*d. What is the remainder when d is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 6 - 3)*(2*f**2 - 2 + 2)*(-1 - 3 + 3)*(-1 - 2 + 2 + (-1 + 2 - 3)*(4 - 1 - 1)).\nAnswer: 100*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2401 (base 10) in base 5?\nAnswer: 34101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 692 + -1259. Let r = -336 - f. Calculate the greatest common divisor of 21 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 5*u = -14 + 44, 15 = -3*h - 2*u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*f)*(1 - f - 1)*(3*f + 6*f - 5*f).\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*g + 4*g + 0*g + 10 + 12*g**3 wrt g?\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 26049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*0.788\nAnswer: -0.0394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 10, 0, -2\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 7. Suppose y*o = -4*a + 12, o - 3*a = 5*o - 17. Suppose -o + 28 = b. Solve w + b = -3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -226324 (base 8) in base 3?\nAnswer: -10220122022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + 1)*-2 - (1 + sqrt(1053))*6 - -4*(sqrt(1053)*2*-6 + sqrt(1053)))**2.\nAnswer: 7488*sqrt(13) + 2847376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 173510 divided by 2\nAnswer: 86755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13925 + -13925. Find a such that 3\/4*a**2 + 1\/2*a + o + 1\/4*a**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 279.5 - 274. Let x = -5.7 + o. Which is the closest to -39? (a) -3 (b) 2\/13 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27683 - 27685. What is the second smallest value in 1\/5, p, -0.7, -3, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, i: 6}. What is prob of picking 2 i and 2 q?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 11*d + 129. Let b be z(-11). Suppose 2*u = b*u - 36. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (25 - 62) - -19.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/((-6)\/(-10)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2302 - -2309. Solve x - 3*o = 14, h*o - 2*o = 4*x - 21 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w - 11. Let d(a) = -3*a - 7. Let u(q) = -8*d(q) + 5*y(q). Suppose -4*b = -3*i - 9, -4*b + 3 = -9. Let z(c) = 3. Calculate i*z(x) - u(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4645 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3476092 + 3476092 - 2*n. Let l(k) = -k**2 + 55*k. Determine l(o(f)).\nAnswer: -4*f**2 - 110*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f + 6. Let i be (-5)\/(-2)*(-8)\/10. Let x be g(i). What is the first derivative of x - 3*q + 3*q - 4*q wrt q?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13071*k**3 - 13161*k**3 + 39410*k**3 - 13172*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08637 rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18c850 - 1?\nAnswer: 18c84f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1200\/360)\/(5\/3966).\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54296585 divided by 10859317\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 80, 169, 258, 347?\n\"Answer: 89*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.53623ng to kilograms.\nAnswer: 0.00000000001153623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 362 divided by -8628.\nAnswer: -181\/4314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than 864\/1453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -253, -232, -211?\n\"Answer: 21*b - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x = 3*f - 36, 4*f = 4*x + 24. Suppose -n + 2 = f. Let a = n + 14. What is the greatest common factor of 56 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*w + 0*w**4 + 1\/7*w**3 + 0 - 1\/7*w**5 + 0*w**2.\nAnswer: -w**3*(w - 1)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4276, 4267, 4254, 4237, 4216, 4191, 4162?\n\"Answer: -2*m**2 - 3*m + 4281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2457, 4, -2, 3, 2 in increasing order.\nAnswer: -2, 2, 3, 4, 2457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 519.1 times 0.07\nAnswer: 36.337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhqrhhqqrhqqhhrhhq. Give prob of picking 2 q.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a minute in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5685?\nAnswer: 3, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4291 - -4343. Calculate the remainder when 411 is divided by x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, -3, -41, -492 in increasing order.\nAnswer: -492, -69, -41, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -72 + 57 + -49 - 41?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-210)\/(-4))\/((-3)\/(-6)). Suppose -g + 99 = 2*t, -5*t - o - 203 = -3*g. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 53 = -k, 0*k = -4*h + 3*k + 31. Let u be -5 + (1 - -5) + 126. Let x = u - 77. Calculate the greatest common divisor of h and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 774 + 294. Is 47 a factor of (-2 - 6\/(-4)) + n\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12325 and 46110.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**4\/3 + 744574*v**3 + 17869862*v**2\/3 + 15636154*v + 13402428 = 0.\nAnswer: -3, -2, 1116869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u + 25. Suppose -5*v + 124 = -4*b, -5*b + 132 = 2*v + 2*v. Calculate the remainder when a(-6) is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*b + 11*b + 5*b + 36*b to t*b + s and give t.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3346348.\nAnswer: 2, 17, 49211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**3 + 11*d**2 - 109*d wrt d?\nAnswer: -12*d + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75942 is divided by 439.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 6*p**2 + p - 5. Let h be x(7). Let d = -77 - h. Let n be (1 - (-34)\/d) + 0. Which is the nearest to 1\/3? (a) -0.5 (b) -1\/4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 476224 and 89292?\nAnswer: 1428672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/168 + ((-21240)\/14700)\/(45\/(-70))?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**3 + 312*t**2 + 307*t - 95653. Determine c(155).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23643023927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence huq when three letters picked without replacement from ujeppqhh?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 744*q - 236*q - 3556 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -4*n + 4*v + 73, 4*v + 16 = 0. What is the highest common factor of n and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 90513716?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + -8*(-738)\/24. Solve k*h + 1 = 243*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**7\/42 + z**6\/8 + z**5\/6 - 11*z**3\/6 - 10*z**2 - 4*z. Find the third derivative of p(b) wrt b.\nAnswer: -120*b + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 3*t**2 + 2*t + 1. Let r be o(-2). Let x(g) = 2*g**2 - g + 1. Let u be x(r). Suppose -4*q = -2*q - u. Do 1 and q have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 18*p**2 + 55*p. Let c be b(20). Suppose -550 = -10*s + c. What are the prime factors of s?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y**3 + 9*y**2 + 7*y. Let z(w) = 3*w**3 - 5*w**2 - 4*w. Let j(k) = 3*l(k) + 5*z(k). Suppose -5*t = -2 + 7. What is the units digit of j(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.06, 22.5202, -2, 1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/(-60)*(72\/4)\/1*1.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10026358, -20052727, -30079096, -40105465, -50131834?\nAnswer: -60158203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -7 - (2 + 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-3*z**3 + 0*z**3 + 6*z**3) - 3 + z**3 + 3 + (4*z - z - z)*(2*z**2 + z**2 - z**2) - 4*z + 4*z - z**3.\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*v**2 - 30 - 28\/3*v.\nAnswer: -2*(v + 5)*(v + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*o**2 + 24*o**2 - 9*o**2 + 2*o**4 - 2*o**2 + 0*o**4 - 154*o**3 to the form m*o**2 + x*o + q*o**4 + p + b*o**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6090 or -0.29?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869355897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -2250\/7*x**3 + 0 - 225\/4*x**4 + 13*x**2 - 1\/735*x**7 + 0*x - 47\/420*x**6 - 51\/14*x**5. Determine c so that i(c) = 0.\nAnswer: -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/16)\/(2\/4) + 4. Suppose q*y - 1610 = 53887. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/84939 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(5\/3)\/v)*(v\/(v**(-2)\/v)*v)\/v*(v*v**(-4))\/(v*v**(-6)))**14 assuming v is positive.\nAnswer: v**(266\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 39, 33, 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15723 and 288.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*i + 3*i**4 + 1 - i - 3*i wrt i.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 911175.\nAnswer: -2\/911175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 7. Let v = 4\/677 - 45375\/2708. Find the common denominator of (-618)\/q*(-2)\/42 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*q + 2)*(-1401*q**3 + 0 - 272*q**3 + 43*q**3 + 0).\nAnswer: -3260*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/48*-4*72\/8.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 50.52937 years?\nAnswer: 0.5052937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*o**2 - 414*o - 80*o**2 + 412*o - 14*o**3.\nAnswer: -14*o**3 + 102*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*s**3 + 7*s**3 + 6*s**3)*(-6 + 1 + 2)*(0 + 5 + 2) to y + b*s**3 + l*s**2 + o*s and give b.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 8*m + 13*m - 5457 = 0, -5*m = -4*n + 7276. Calculate the highest common divisor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - r + 17 = 0, 13 = z + 5*r - 0. What is the highest common divisor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 3) + (8 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -21, 4, -4, 84, -90 in decreasing order.\nAnswer: 84, 4, -1, -4, -21, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**0*p**(-3\/14)\/p*p assuming p is positive.\nAnswer: p**(-3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 68849819047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1756)\/70679)\/(((-8)\/(-7))\/4))\/((-4)\/2)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 146, 0.3, 27 in increasing order.\nAnswer: 0.3, 27, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f. Let y(c) = -2*c. Suppose 5*k - 5 + 35 = -5*q, 3*q + 4*k = -18. Let l(r) = q*y(r) - 11*z(r). Let w(o) = -8*o**2. Give w(l(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -13950 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29556*q**3 + 59087*q**3 - 29912*q**3.\nAnswer: -381*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hve when three letters picked without replacement from {v: 7, e: 7, w: 1, h: 2, n: 1}?\nAnswer: 49\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551 is divided by 378.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1111 = -2*g, -f - 2*f + 3313 = g. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-3)\/(-12)*64\/3*(-1201)\/4804.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = -5*f + 3*l, -2*f = -4*l + 4. Suppose f = -2*s + j + 3008, 0*s + 1504 = s - 5*j. What are the prime factors of s?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**3 + r**2 - 2. Let a be t(2). Solve -3*k = 2*k - p + 13, -4*k - 2*p - a = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37595802.7 to the nearest 10000.\nAnswer: 37600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6)*(-24)\/(-64).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + i - 4 = 4*s, 0 = 2*i - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g - 5. Let q(k) = 2*k + 2. Calculate 3*l(x) + 5*q(x).\nAnswer: 4*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6287323.\nAnswer: 7, 898189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 10 = -p - 14*c, -3*c = -6*p + 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zuu when three letters picked without replacement from {z: 15, u: 4}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 1:13 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/199 and 17\/8?\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(18))\/(sqrt(90)\/(sqrt(30)\/sqrt(3))).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -7. Let w be (-888)\/(-20) - c\/(-10). Suppose -w = -5*v + v. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 20*k**4 + 24*k**4 + 17*k**4 - 60*k**4 + 2*k**3 - 3*k - k**2 - 3 to s*k**2 + d*k**4 + h*k + m*k**3 + o and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/225)\/((-440)\/(-2200)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 1496612.\nAnswer: -1496612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/651 and -34\/1023?\nAnswer: 7161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 1.21 (c) -1 (d) -70875\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -12 - 3*o - 23*o - 12*o. Let g = -420 + 415. Is d(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2232*a - 153 - 2235*a + 1567)*(-2*a**3 + 0 + 0).\nAnswer: 6*a**4 - 2828*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75.2 + 43.\nAnswer: -32.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + sqrt(242) + -4 - (-2 + (2*sqrt(242))**2) - (sqrt(242) - 3*(-1 + sqrt(242))**2 - (-2 + ((2*sqrt(242))**2 - sqrt(242))))).\nAnswer: -77*sqrt(2) + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13311411432 - -10?\nAnswer: 13311411442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 687*w + 237718. What is u(-346)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 192628 divided by -4\nAnswer: -48157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 39*d**2 - 15*d + 14*d - 14*d - 9*d - 250*d**2.\nAnswer: -211*d**2 - 24*d + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 30 - 42 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -210 - -338.4. Let b = 38.7 - g. Round b to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -23. Let w = -3 - -2. Which is the nearest to w? (a) 1\/5 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17351, 12475, 4359, -6991, -21569?\nAnswer: -39369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 + -148. Let j = x + 90. Solve -j = -3*f - 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -31 - 212*j + 2*j**2 - 15 - 28 - 140 = 0. What is j?\nAnswer: -1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - a + 337, -x + 2*a - 4*a = -337. Let d = x - 63. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 283698 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67522, -131163, -194804, -258445, -322086, -385727?\nAnswer: -449368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4489)\/(-469) - 8)\/((-4)\/(-7) - 1).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 13 - 14 = -c, 4*c - 4 = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 + 61*d**2 - 34*d - 43. Determine c(30).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 8*f - 4. Let p be o(3). Suppose 4*z + 4 + p = 0. Let u(b) = -2*b - 8. What is the units digit of u(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -208554.1 to the nearest one thousand.\nAnswer: -209000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 35403 (base 12) to base 4\nAnswer: 101130003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -795838, -3.\nAnswer: -795838, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)\/sqrt(28) + (sqrt(168)*1)\/sqrt(6))\/((sqrt(108)\/sqrt(9)*-2)\/sqrt(3)).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a millennium in months?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 f when two letters picked without replacement from qqbbqqqbbfqbqbqbqqb.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 188\/(-6)*(-15)\/5. Let f be (-36)\/24*(-2 + v\/3). Let k = f - -39. Which is smaller: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/3)*d**(-1\/6)*d assuming d is positive.\nAnswer: d**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 9:30 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -183*l**3 + 280*l**2 + 10. Let i(v) = -92*v**3 + 140*v**2 + 6. Let h(x) = 5*i(x) - 3*r(x). Find the third derivative of h(y) wrt y.\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9821\/85566 + 2\/3291. Let m(n) be the first derivative of 0*n**2 - 4 + 2\/65*n**5 + 0*n + 4\/39*n**3 + x*n**4. Factor m(r).\nAnswer: 2*r**2*(r + 1)*(r + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, -7, -4, 2\/191, -0.08, 10, 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -7986*l**5 - 712448*l**4 - 387024*l**3 - 70272*l**2 - 4256*l = 0.\nAnswer: -266\/3, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**5 - 333*b**3 + 416*b wrt b?\nAnswer: 20*b**3 - 1998*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 + 50*v**2 - 66*v - 28. Calculate n(24).\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) -0.1 (c) 3 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 12 = 4*b. Suppose -3 = -0*f - b*f. Let z = f - -30. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5709 - (0\/(4 + 1) + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33553299259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**(-5)\/l)\/l**(2\/13))\/(((l**(5\/3)\/l)\/l)\/l**(-1\/11)))\/(((l\/(l\/((l*l**4)\/l)*l))\/(l**(-1\/2)*l))\/(l**(2\/9))**32) assuming l is positive.\nAnswer: l**(1801\/2574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieeeii. Give prob of picking 2 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*j + 580 = -24*j + 33*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 3*f - 41. Let a = 277 - 285. Let v be l(a). Is v smaller than 5\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*w = -3435148 - 334592. What is w rounded to the nearest one thousand?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1145484, 1144974, 1144464, 1143954?\n\"Answer: -510*j + 1145994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 3485?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + (-18 - -21) + 0 + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**3\/2 + 3*v**2\/2 - 7*v. Let l be u(0). Suppose 25 = l*r - 32. Solve 5*s - 4*x - r = -x, -2*s + 8 = -x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 + -23 + 28 - -13\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of t**4\/6 - 2*t**3\/3 + t**2 + 2*t + 2. Let h(r) be the first derivative of w(r). Solve h(n) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*z - 245*z + 724 = 112*z + 64*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2445 (base 13) to base 8.\nAnswer: -12007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 6*w - 16*w. Solve -w*y - 3*y + 5 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 4*u - 5*u)*(-2*u + 2*u + u + (-6*u + u + 3*u)*(-4 + 4 - 1) + 755 - 755 - 233*u).\nAnswer: -230*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*v + 105, -107 = 4*h - 7*h - 5*v. Let c be h\/10 + 4\/(-10). Suppose 4*l - 5*z - 28 = 0, c*l - 2*z = -z + 21. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201445 (base 6) in base 11?\nAnswer: -10a82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 12. Let x be q(10). What is the third derivative of 7*c**6 + 5*c**6 + 0*c**6 - c**x wrt c?\nAnswer: 1440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.2, -0.014?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 697550 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 5*p**4\/4 - 640*p**3 + 7560*p**2 - 30080*p - 14897. Find h such that d(h) = 0.\nAnswer: 4, 376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16351 = -2*i - 8*d + 14219, 0 = i - d - 15310. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*x + 15, -7*u = 3*x - 5*u + 13. Let m = -72 + 77. Which is the biggest value? (a) m (b) -1\/9 (c) x (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3 = 3*s. Let g be (14\/10)\/(19\/95). Let w(v) = 4*v**2 + v - 4. Let l(y) = -9*y**2 - 3*y + 9. Calculate g*w(r) + s*l(r).\nAnswer: r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16691 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2736767 - -47\nAnswer: -2736720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 45\/(-27)*(-24)\/(-100). Let y = -467 - -466.96. What is the third biggest value in y, r, -28\/9?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2929?\nAnswer: 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1093.9 - -1050.9. What is the smallest value in p, -0.5, 9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7*d**3 - 6*d**2 - 417*d - 24. What is the thousands digit of i(19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.019 + 0.1792\nAnswer: 0.1982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.055526821 to five dps.\nAnswer: -0.05553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 339*20\/12*3 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*175.\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**3 + 55*v**2 + 4*v + 7. Let t(w) = 8*w**3 - 160*w**2 - 11*w - 20. Determine -11*r(x) - 4*t(x).\nAnswer: x**3 + 35*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j + 25*j = 4*d + 30, 3*j = 4*d + 26 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4242728773 + 129.\nAnswer: -4242728644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 11, b: 1, z: 1}. Give prob of sequence mmz.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1878 and 10955.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**3 - 2*i**2 + i - 1. Let k be l(-2). Find the third derivative of -13*y**2 - 2*y + 2*y - 8*y**3 - k*y**3 wrt y.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 442?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i + 6. Determine k(6).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11057 + 11056. Which is smaller: -2\/8465 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(y + 2 - 2) + 0 - y + 0 + (3 - 2 - 3)*(-1 + y + 1) + 3*y + 0*y - y - 2 - 3*y + 2.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58393, -58991, -59989, -61387?\nAnswer: -63185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 142*u**2 + 479 - 167 - 291*u**2 + 150*u**2 in the form o*u**2 + h + x*u and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27728, 27750, 27786, 27836?\nAnswer: 27900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - (2*sqrt(396) + 3))**2 + (sqrt(396) - (2 + sqrt(396))*-6).\nAnswer: 78*sqrt(11) + 417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 444, 807, 1060, 1203?\n\"Answer: -55*p**2 + 528*p - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/12*(-25305)\/47236.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-8 - (8 + 22) - -10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1502199 is divided by 146.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/18 and 35\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - v + 3. Let g be s(0). Suppose -k - 15 = -3*z, 2*k + g*k - 5 = -z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 832.44 - 832.4. Put -2, -11, l in ascending order.\nAnswer: -11, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5216 + 2248 = 0. Let t be (8\/64)\/(6\/w). Let p = -52 - t. Which is the third smallest value? (a) 3 (b) p (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 146, 3.8, 5?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-3))\/((-7)\/42). Factor -9*b**2 + 5*b**2 - 6*b + 0*b**2 + 8 + 2*b**r.\nAnswer: -2*(b - 1)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 9:52 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 6*f**2 - f + 8. Suppose -j - 4*j - 30 = 0. Let l be ((-9)\/j + -1)*12. Let v be b(l). Let r(t) = 2*t**2 - 2*t. Determine r(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5311, -42473, -143333, -339739, -663539, -1146581, -1820713, -2717783?\n\"Answer: -5308*z**3 - z**2 - 3*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -80*c**5 - 2*c**4 + 936*c**2 - 3. Let l(p) = 79*p**5 + p**4 - 935*p**2 + 4. Let u(m) = -3*l(m) - 4*s(m). What is the third derivative of u(h) wrt h?\nAnswer: 4980*h**2 + 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 9*c - 3. Calculate o(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85689.\nAnswer: 3, 9521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-93 - 2*w + 187 - 53)*(1 - 2 + 2)*(11 + 2 - 2*w - 9) to the form u*w + q*w**2 + h and give u.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-97)\/(3751\/155 + -26) - (-1)\/9.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + h - 876 = -13, p - h - 217 = 0. Suppose -2*s = -s - p. Let q = s - 376. What is q rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-25)*15)\/(1\/90). Solve -z + 57 = w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**6\/30 + k**4\/6 + 36*k**2 + 5*k - 16. Let w(u) be the first derivative of f(u). Determine n, given that w(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**2 - 8118*w = 0?\nAnswer: 0, 4059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 11. Suppose 0 = 2*n - v - 2. Solve h + 2*p = -2*p, -p = -n*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + 3*q + 766 - 770. Let w be x(2). Solve w*f - f + 9 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/14 (b) 0 (c) -1 (d) 47 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 m when four letters picked without replacement from aaaaqmmmqmasaahmsh?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 39, -2 in increasing order.\nAnswer: -5, -2, 3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 839 (b) -14 (c) -6 (d) 113\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1274151 is divided by 24982?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 162*y**5 - 46260*y**4 + 3383018*y**3 - 11413104*y**2 - 2703816*y = 0. Calculate y.\nAnswer: -2\/9, 0, 34\/9, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217712442 a multiple of 2033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**3\/6 - 10*s + 3. Let y(i) = 16*i. Let l(r) = 15*r. Let a(n) = 4*l(n) - 5*y(n). What is q(a(o))?\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s. Let a(d) = -371*d**2. What is o(a(x))?\nAnswer: -742*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246 = 2*r + 242 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 2) + (-13 - -25 - 12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15809\/18 - -870. Calculate the common denominator of g and -47\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*1*sqrt(1053) + ((sqrt(104) - -2*sqrt(104))*2)\/(1*sqrt(968)) + 4.\nAnswer: -93*sqrt(13)\/11 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tufxztzzft. What is prob of sequence tfzz?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 0*g**4 + 0 + 1\/20*g**5 + 0*g**3 + g**2 + 0*g. Let f(t) = t**2 - 5*t + 3. Let v be f(4). What is x(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/957 and -44\/469065?\nAnswer: 149631735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**6\/120 - x**5\/15 + x**4\/4 - x**3 + 3*x**2. Let y be c(-5). Let s = -6 - y. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -476863*s + 5722332. Calculate v(12).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541134?\nAnswer: 2, 3, 11, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -38342*s - 1. Let k(n) = -180*n**2. Determine c(k(d)).\nAnswer: 6901560*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*g + 3*m, 0 = -g + 3*m - 2 - 7. Suppose -6*s + g*s + 12 = 0. Suppose 0 = u + q - 7, -3*q = -4*q + s. What is the remainder when 7 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0) + (1 - (2 + -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 + 0*b**3 - 89*b - 83*b - 35*b.\nAnswer: -2*b**3 - 207*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -8*p. Suppose -15 = q - p*q. Let j = 60 + q. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y**3 - 757*y**2 + 703*y + 8620. Give b(-127).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 36 = -3*f - 0*f, 34 = 2*f + 4*q. Calculate the highest common divisor of 35 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.69 at least as big as 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406586 is divided by 7233.\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66642?\nAnswer: 2, 3, 29, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -34.992. Let z = d - 0.00789. Round z to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 8*u**2 + 141*u - 2239. What is b(13)?\nAnswer: -1251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*u**3 + 31*u**3 - 65*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -1. Suppose -o*j - 5*n + 17 = 0, 3*j - 7*j - 33 = -5*n. Let x be (4 + 56)\/(j\/36). What is x rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4480 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 - -31. Let h be c + 3 + 4 - 1. Let j be (3\/54)\/((-14)\/(-56)). What is the closest to h in j, -1\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2380 and 10392508.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -18. Solve s = 3*i - 2*i - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 74663608 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*x - 49*x - 64*x - 9030 for x.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -98 and -27.9.\nAnswer: 2734.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.3, -0.3, -4, 5\/18?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -161574915.\nAnswer: -161574915.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352811*u**2 - 176491*u**2 - 176313*u**2.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 - 3*a**2 - 3*a - 8. Let k(h) = h**3 - h**2 - h - 3. Let f(g) = 11*k(g) - 4*w(g). Factor f(z).\nAnswer: -(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (272295\/(-405))\/(9\/(-6) - (-2)\/4). Is 673 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/4, 0.1, 7, -2, 5.8.\nAnswer: -2, -1, -1\/4, 0.1, 5.8, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 280168, 2, -5, 4, 1, 3 in descending order.\nAnswer: 280168, 4, 3, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2894 + 3692?\nAnswer: bdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -506, 12, 5, 2, -5, -7 in descending order.\nAnswer: 12, 5, 2, -2, -5, -7, -506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 114331400?\nAnswer: -114331402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9374 at most 9373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 500, 1136, 2038, 3212, 4664, 6400, 8426?\nAnswer: 10748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -196, -283, -370, -457, -544?\nAnswer: -631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12*64\/(-48)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -516*w - 1167. What is the remainder when d(-19) is divided by 2875?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271229871, -271229870, -271229869, -271229868, -271229867, -271229866?\nAnswer: -271229865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 106209760 divided by 27760?\nAnswer: 3826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**2\/2 + 3280*r - 202399\/2 = 0.\nAnswer: 31, 6529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16313905 and -559630.9.\nAnswer: 15754274.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 4:56 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2 - 2 + w**3 - 94*w + 94*w - 2*w**3 + (2 - 2 + 2*w)*(-7*w**2 - 25*w + 25*w).\nAnswer: -15*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4 = 0, -411 = x + 4*t - 1767. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 + 52. Let y = -15 + f. Calculate the remainder when 11 is divided by 0\/(-3) + 4 + y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(((-21)\/(-9))\/7). Let q be -1 + -4 + s + 7. Suppose -5*m = -q*f + 65, 16 = 4*f + 5*m - 36. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.7 + 1.3. Let j = c + -19.985. Let u = j - 0.01398. What is u rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/(-1) - -1)\/(-2). Let y = 2.19 + -11.49. Let x = y + 9. What is the third smallest value in -0.2, s, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 306716573 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7*f + 217. Let d be c(-27). What is the greatest common divisor of 56 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*z - 36, -3*z + 0 + 15 = 0. Sort 1, x, 2, -1 in descending order.\nAnswer: 2, 1, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 1. Suppose -6*q = -3*q + 12. What is h(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-41 + (-4235)\/(-105))\/(112\/6)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3614392.3954536 - -0.3\nAnswer: 3614392.6954536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*57*16\/144.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -7.9?\nAnswer: 3.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 6:42 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 32*i - 63. Calculate u(-28).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 7*v + 10 = 0. Let h = -9 + 11. Is v at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1988779\/1050 + 1894. What is the common denominator of v and 81\/280?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i**3 + 88*i**2 + 151*i**2 - 56*i**2 + 35*i**2.\nAnswer: 13*i**3 + 218*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-42))\/(g\/(g\/g**(11\/6)))*(g*g**(3\/11)*g)**(-1\/56) assuming g is positive.\nAnswer: g**(-79231\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1368 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9771 - 0.6771. Which is the third smallest value? (a) l (b) -9 (c) -127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9332518?\nAnswer: 2, 13, 27611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3\/3 + 11*w**2\/3 + 43*w\/3 + 10\/3.\nAnswer: -(w - 5)*(w + 2)*(4*w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*o - 37341 - 77383, -3*o + 4*m = -172109. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -76*w**2 - 71887*w - 143779. Determine g(-2).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 3*r + 113 = -17*w - 4*r, 28*r = w - 3*w - 428 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 4. Let h be -3 + 1 + -2 - (19 - 35). Calculate q(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -1. Suppose -2 = -3*z + a*z. Let f(j) = 7*j + 47. Let u be f(-6). Put 2, z, u in ascending order.\nAnswer: z, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8546?\nAnswer: 2, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33749 + -33711. Let j = -10\/17 - -23\/68. Which is the smallest value? (a) j (b) -3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*s + 5. Find the second derivative of 3*i + i**5 - s*i - i wrt i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 95 (b) -1\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t\/(t*t*t\/(t*(t*t\/(t*t\/(t**(-4)\/t*t)))\/t))*t)\/t)\/t)\/t)**(-5\/4) assuming t is positive.\nAnswer: t**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 + -25. Let n = 4 - m. Let a = 14 + n. What is the third smallest value in -2\/9, a, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/24 - 1)\/((-1)\/(-4)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -493*i + 491*i + 34888 = 5*g, -2*i = -3*g + 20952. Is 65 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012233302 (base 4) to base 8.\nAnswer: -1065762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*u + 1 + 4, 4*u = 4*v - 4. Let b = 12 + -10. Let i = u + b. Solve 3*n = i + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -65*a + 6. Is g(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 455*p + 44*p**2 - 453*p - 15*p**2. Let b(c) = 23*c**2. Give u(b(w)).\nAnswer: 15341*w**4 + 46*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.86 + -0.14. Let p = 0.1 + 0. Let v = 4.91 - -0.09. Which is the nearest to 2? (a) v (b) f (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g - g**4)*(2 - 3 + 0) - 13268*g + 13268*g + 1592*g**4.\nAnswer: 1593*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -58*f**4 + 21*f**3 + 3*f**2 + 8*f. Let a(w) = -w**4 - w**3 - w**2 + w + 7. Let z(k) = -3*a(k) + s(k). Find the third derivative of z(d) wrt d.\nAnswer: -1320*d + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**2 + x + 0 - 3 + x + 6*x + 3*x**3. Is v(2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y + 23. Let l be a(-13). Let q = 457\/1732 + -6\/433. What is the third biggest value in q, 0.03, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -2680 (c) -2\/19 (d) -1 (e) -3 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -32) + -28 + 1*-32?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 + 4*n**3 - 3*n**3)*(3904*n + 8722750 - 8722750).\nAnswer: 3904*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15215 and 6928435.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-45))\/(((-6)\/4)\/3)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -334313041 - 1302?\nAnswer: -334314343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -841*q + 2372 = 144*q - 5508 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2479 + 0.04448121462\nAnswer: -0.20341878538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: c1c2 (base 16) to base 2\nAnswer: 1100000111000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wssbssbssbb. Give prob of sequence bb.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**22))\/f)**26 assuming f is positive.\nAnswer: f**(-598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31.91 + 31. Round m to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(3600) - (sqrt(3600) - sqrt(3600)*-1))*-3)\/(-5*sqrt(588)*-3*4) + 2.\nAnswer: -3*sqrt(3)\/14 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -14*n**3 - 12*n**2 + 679*n + 6. Let f(b) = -30*b**3 - 26*b**2 + 1357*b + 13. What is -6*f(d) + 13*l(d)?\nAnswer: -2*d**3 + 685*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1134*s**3 - 3434*s**3 + 18*s**2 - 18*s**2.\nAnswer: -2300*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1655677*y**3 - 25567*y**2 + y - 4 wrt y.\nAnswer: -9934062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.19772 - 0.19772. Which is the nearest to g? (a) -0.1 (b) 2242 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k*k**(-2\/3)*k)\/k)\/k**4)\/((k\/k**0)\/k**(-1)))\/(k**0\/(k*k*k**(-5)))**(-15) assuming k is positive.\nAnswer: k**(121\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*t = -t + 179, 2*p - 4*t = 82. Let j = -25 + p. What is the remainder when 10\/(-45) + (-308)\/(-9) is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 15 + 61 = -2*s, 5*s = -2*g - 43. Let m = 38 - g. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60544 and 17040384.\nAnswer: 187444224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.6335 + 8.9665. What is the closest to l in 41, 1\/2, 1\/3, -0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (248\/(-5))\/((-33)\/165)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 34*m**2 + 371*m + 7551. Determine v(-30).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w**3 - 10*w**2 - 4*w - 6. Let b(f) = -11*f**3 + 21*f**2 + 9*f + 13. Determine 9*a(c) + 4*b(c).\nAnswer: c**3 - 6*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**2 - m + 1. Let g be f(1). Suppose -g*w - 9 = -4*w. Suppose 2 + 14 = t. Calculate the remainder when t is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (44\/8)\/(1\/(-2)). Let g = t - -14. Let z = g + 27. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-48)*2*16\/560\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z - 16. Let u(j) = 4*j + 31. Let h(t) = 13*f(t) + 6*u(t). Let r be h(-12). Let m = -7 + 3. Sort m, 0, r in descending order.\nAnswer: r, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -1522*z + 144. Let k be h(-20). Let w = k - 1987907\/65. Find the common denominator of -41\/117 and w.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*y + 9. Let j(f) = f**3 + f**2 + f - 1. Let k be j(1). Let m = -10 + 14. Solve y*s + k = -m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkllllkllkllllklll. Give prob of sequence ll.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -62738\/3 (b) -457 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 bigger than 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 145101112 less than or equal to 145101112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 3)*-1 - -17. Let c be -2 - ((-70)\/s - -2). Suppose -3*h = -h. Put c, h, -0.2 in ascending order.\nAnswer: -0.2, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 230\/15 - 2*(-4)\/12. Calculate the remainder when 5 is divided by (-14 + h)\/(0 + (-4)\/(-10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39415486.\nAnswer: 2, 11, 17, 105389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -333762, -1\/6, -0.1, 3\/4.\nAnswer: -333762, -7, -1\/6, -0.1, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e + 2a1?\nAnswer: 2d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/4)*p**(4\/3)*p*p*(p\/(p**(-2\/25)\/p))\/(p*p\/p**(-1\/12)) assuming p is positive.\nAnswer: p**(77\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h - 63. Let j be l(-17). Let q be j\/(-9) - (-5)\/135*-3. What is the nearest to -2\/3 in q, 2, -5, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4603930120?\nAnswer: 2, 5, 47, 179, 13681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2550, -304, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fl when two letters picked without replacement from iiilitfdbfbitiid?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + -12 - -18?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + u - 1548 = 0. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386367 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 298699555307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**3 - 5*o**2 - 48*o + 252 = 0?\nAnswer: -7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 o, and 1 v when three letters picked without replacement from {v: 1, s: 1, w: 2, r: 1, k: 1, o: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8924.223 litres to millilitres.\nAnswer: 8924223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42013 - 42012.9966303. Round c to 5 dps.\nAnswer: 0.00337","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3*d + 92. Let b = 29 - d. Suppose 0 = -3*k + 3, 4*o = 4*k - 9*k + 57. Calculate the highest common divisor of b and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 0*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 24.2, -1\/9, -0.2 in descending order.\nAnswer: 24.2, -1\/9, -0.2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -21*h**2 - 5*h + 11. Let d(p) = -11*p**2 - 2*p + 5. Determine 7*d(f) - 3*o(f).\nAnswer: -14*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58)\/10 + 0 + (-8)\/(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39774 and -5?\nAnswer: 198870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 100 = 10. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -987406*d**3 + 2104693*d**3 + 2263882*d**3.\nAnswer: 3381169*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w - 25. Let x be r(6). Suppose -5*s = -30 - 15. Suppose -4*k + 36 = 4*i, 0*k + x*i = -2*k + s. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1042*b**5 + 5*b**4 - b**3 + 144812*b?\nAnswer: 20840*b**3 + 60*b**2 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (37\/(-2))\/(-2 + (-740)\/30) and 85\/512?\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260645 is divided by 5807?\nAnswer: 5137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2071107 is divided by 453.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j + 5*j - 27*j**2 + j + 28*j**2 - 14 to the form a*j + c + w*j**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**9*(((p\/(p*(p**17*p)\/p)*p)\/p)\/p)\/p assuming p is positive.\nAnswer: p**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.3 + 0.3. What is the closest to 0.1 in 2, 1\/2, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 5*a**2 + 0*a**2)*(-134 - 429 + 834 + 875).\nAnswer: 2292*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 5. Let m be b(6). Let i = 15 - m. Suppose 5*x + i = x. Sort x, 3, 5 in decreasing order.\nAnswer: 5, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 1 + 2*q**2 - q + 2*q**2 + 7*q**3 - 3*q**2. Let d be s(1). Suppose 4*j - d = 2*c, -c - 3*j + j = -16. What is the highest common factor of 12 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(44)*1 + 2 - (sqrt(44) + 1*sqrt(704))))**2.\nAnswer: 32*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7268, -14544, -21816, -29084?\nAnswer: -36348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -98480 divided by 4\nAnswer: -24620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.811? (a) 0.2 (b) -937 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w - 84 - 63 + 123 - 4*w - 2*w. Give z(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 16) to base 9.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -941138\/5 or -188227?\nAnswer: -188227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**2 + 53*c - 34. Is q(-22) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*i - 856 - 309, -2*i + 10 = 0. Let a = j - -81. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*p = -5*n - 9, 0 = -n - p - 2. Let y = 9 + n. Suppose -3*z = -y*z + 2*r + 7, z - 3*r = 9. Put z, 4, -3 in descending order.\nAnswer: 4, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10771\/318 or 35?\nAnswer: 10771\/318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 60. Suppose s + 2 = -1, -4*l = 5*s + 15. Suppose -2*k - 2*u = -l*k - 16, -2*k - 4*u = -12. What is the remainder when p is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14168.8 * 1.53.\nAnswer: 21678.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124967 + 124967 - 6*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/5 + 174*t\/5 - 531\/5.\nAnswer: (t - 3)*(t + 177)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.69 + 6.49. Which is the nearest to i? (a) 3\/4 (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -13 + (-11 - (4 + -7 + -8)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -75437.6 rounded to the nearest 1000?\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -260937.3303 rounded to the nearest one hundred?\nAnswer: -260900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 575592 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -31513 = -31498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -33205*-6\nAnswer: 199230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 + 11*z + 9. Give u(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -14. Let s be (-3)\/(n + -4) - 3. Let q be ((-1)\/(-3))\/(18\/(-12)). Which is bigger: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10337.6282 rounded to the nearest 100?\nAnswer: -10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-195))\/(((-8)\/3)\/4)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11332 - -202051?\nAnswer: 213423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y + 24 + 8. Solve n + y*n = -5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/15)\/((-4)\/10). Let q be 22\/(-18) - h\/(-9). Let c(i) = i**2 - i. List the prime factors of c(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 918 and 1581.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -2*z + j + 60 - 40, 3*z - 6*j = 30 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -146. Let f = 110 + a. What is the fourth biggest value in 1\/4, 5, f, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**5\/60 - r**4\/4 - r**3 - 2*r**2. Let o be d(7). Suppose -2*u + o = -3. Put u, 5, -5 in decreasing order.\nAnswer: 5, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.3 + 3. Suppose 0 = 15*q + 16238 + 10762. Let y = -1803 - q. Which is the nearest to j? (a) -0.4 (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-12) + 363\/(-1386)*77 - 10\/(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 154*q**2 + 154*q**2 - 68*q**2 - 78*q**2 - 190*q**3 + 178*q**2 + 90 - 285*q - 5*q**5 + 50*q**4 = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 l when four letters picked without replacement from hhlohhohoololuoo?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3 + (2 - 2 - 8)*(2 - 4 + 1))*((-3*c + 3*c - 2*c**2)*(c**2 + 2*c - 2*c) + 3*c**4 - 4*c**4 - c**4 + c**2 + 2*c**4 - c**2).\nAnswer: -10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 12*w - 23. Let p be f(2). Is 2\/53 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107 - 853\/8. Suppose -1 = g - 0. Which is bigger: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2646 + 1687 = -317*a + 529 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50899, 101808, 152717?\nAnswer: 203626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1438 + 2710. Suppose n + 1287 = 6*n + 4*o, o + p = 5*n. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120539280 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: How many minutes are there between 5:01 PM and 10:24 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2\/11 (b) 1.04 (c) 135\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7519.\nAnswer: 73, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -116449251, -232898500, -349347749, -465796998, -582246247, -698695496?\n\"Answer: -116449249*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 13*p - 19. Let x be y(6). Suppose 197 = 8*z - x. Suppose z = -h + 5*h. Solve -4*g + 20 = m, 2*m + 17 + h = 5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(378)\/sqrt(3)*5)\/((-4*sqrt(8) - (sqrt(14) - sqrt(126))\/sqrt(7))*-1).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*b - 8. Find c, given that -b*c**4 + 21*c**2 - 6*c**4 - 4 + 46*c**3 + 26*c - 75*c**2 = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-358)\/(-895))\/((-14)\/(-10)*-1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 - 309\/4. Let n = h + -3. Let z be 4 - 0 - (-14)\/(-4). Which is the closest to 0.1? (a) 4\/3 (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 74*n - 1045. Let u be c(0). Is -1045 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4381.2 and 4.\nAnswer: -17524.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 24. What is the closest to -1 in s, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fn when two letters picked without replacement from {f: 1, n: 14}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1720891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*2\/14 - 23016\/(-392). Suppose -l*v - 176 = -63*v. Suppose 0*d = 3*d + t - v, 0 = -5*t - 5. Solve 3*o - d = -0*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3023, -6045, -9065, -12083?\n\"Answer: p**2 - 3025*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 271701, 1086411, 2444261, 4345251, 6789381?\n\"Answer: 271570*o**2 + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*k = -152*k + 320 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48\/47 - 479\/423. What is the second smallest value in 42, v, -2\/13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/10*3100\/13485*14\/(-28)?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1123 and -123298.\nAnswer: -138463654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-190724)\/14)\/(11 - (-2844)\/(-252)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -19*v. Let x(w) be the first derivative of w**3\/3 + 4. Determine x(r(n)).\nAnswer: 361*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 202 + 784. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/5 of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0 (c) 4\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from {n: 4, p: 5, o: 3}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*g - 55 = -5*a, -g + 39 = a. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/15, 5, 17, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*t**3 - 2151856822 + 2151856822.\nAnswer: -33*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/434 and 11\/7.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 7*r**2 - 5*r + 6. Calculate a(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, p: 1, i: 1, s: 5, q: 5, j: 1}. Give prob of sequence qc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18031923.\nAnswer: 3, 7, 13, 41, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 12135000 to the nearest one hundred thousand.\nAnswer: 12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppiaipipap. What is prob of sequence ppa?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -3 - (8 + -4)) + 24 + 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 28*p**2 - 61*p - 101. What is o(30)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 637, 1637, 3091?\nAnswer: 4999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4244 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/1 + 27\/((-33696)\/38662) + 33.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 3 + 0 - 2. Let z = 379 + -365. Solve -t = 4*l - z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1782 and 350517618?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebbeebxeeeqbxxepe. Give prob of sequence bex.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 749 - 721. Suppose -q*f = -20*f - 400. Solve 0 = -f*a + 45*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*d = -135*d - 51 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1214 - 1302. Sort 4, j, 5, -1 in ascending order.\nAnswer: j, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-16 + 39) - (23 + -32)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -123 + 93. Suppose -6*i = -i - q. Solve 0 = -28*j + 25*j + i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*u - 250 = 0, -3*u = -4*h - 0*h + 200. What is the remainder when 3\/(6\/h)*1 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0175994998 to 4 dps.\nAnswer: -0.0176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.95 - -2. Let t = 0.0454 - g. Round t to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*r + 304 = 45 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -505, -3337, -8057, -14665, -23161, -33545, -45817?\n\"Answer: -944*d**2 + 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 - 14*i + 1. Let w be m(-7). Let p(z) be the second derivative of -z**4 - 5*z. Calculate p(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1071 = 10*q. Suppose -o = y + 76, 0 = -o - 2*y + 6*y - 56. Let z = o + q. What are the prime factors of z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*q - 10, n = 4*q + 3*n - 8. Suppose -3*y + 6 = -y. Suppose y*u - 8 = -2*l + 14, -q*l + 37 = 5*u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*s = -0*y - 32, 3*y + 2*s = 26. Suppose -y*u = -u - 75. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2331906667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.39 take away 7595?\nAnswer: -7578.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -400 (b) 1 (c) -1\/8 (d) -0.2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 3, -62.\nAnswer: -62, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 135791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 - 3*q. Let l(c) = -6*c**2 + 8*c. Let d(w) = 8*f(w) + 3*l(w). Let p be -2*5*(-3)\/6. Let h(t) = t + p - 5. Calculate h(d(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(1 + 3 + 5)*(7*r**2 - 5*r**2 - 3*r**2).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*(h**(-1\/6)\/h)\/h)*h*h**(2\/11)*h*h*h**(-8)*h**8*h*h)**(3\/23) assuming h is positive.\nAnswer: h**(485\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-8)*(-23 + 12) - 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 6*i**2 + 5*i - 3. Let q be n(5). Suppose -6*k - 58 = 4*v, -2703*k - 45 = -2698*k. Sort 34, 5, q, v in increasing order.\nAnswer: q, v, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -14, 114930 in decreasing order.\nAnswer: 114930, 5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (370\/(-125))\/(36\/(-10) - 2) and -99\/112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32920*n**3 + 16021*n**3 + 15957*n**3.\nAnswer: -942*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x = 18*x + 2. Let p(l) = 2*l + 6*l - x*l - 2*l. Let q(o) = 5*o**2. Calculate q(p(w)).\nAnswer: 80*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7633313l?\nAnswer: 763.3313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 3*w + 2*w)*(-5 - w + 5)*(1 - 1 + w**2 + (w + w + 5*w)*(3*w - 3*w + 2*w)).\nAnswer: -15*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/605430 and 52\/13815.\nAnswer: 185867010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 404511 (base 6) in base 5?\nAnswer: 2012110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**7*a**(3\/5))\/((a*a**4)\/(a**(-2\/5)\/a)))\/((a**(2\/11)\/(a\/a**4*a))\/(a**(-2\/13)*a*a*a**(-7))) assuming a is positive.\nAnswer: a**(-4387\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1244365?\nAnswer: 5, 191, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 403 or 1211\/3?\nAnswer: 1211\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5143 or -77149\/15?\nAnswer: -5143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/8*(-2)\/(3 + -4). Let j = 1\/1396 + 4147\/57236. Which is smaller: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**2 - 2*v**2 - 5*v**2 + (7*v**2 - 5*v**2 + 5*v**2)*(-1 + 0 + 2).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -0.04, -0.13, -393\/133, -1\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**3\/6 + 2*u - 19. Let s be (-2 - -4)*(-3)\/(-2). Let w(q) = -3*q - 11*q**2 + 7*q**2 + s*q. What is p(w(j))?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*(-3 + sqrt(80)\/sqrt(4) + sqrt(20) + ((sqrt(240) - sqrt(240)*1)\/sqrt(12) - sqrt(20))))**2.\nAnswer: -320*sqrt(5) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*((c\/((c**2*c)\/c))\/c)\/c)\/c)**(-2\/5)*c**(-16)\/(c\/(c**(7\/4)\/c)) assuming c is positive.\nAnswer: c**(-309\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -5\/842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36593*k*m*u*v - 5*k*m - 3*k*u*v**3 + k*u + 23*k - 2*m - 2 wrt v.\nAnswer: 36593*k*m*u - 9*k*u*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 161533 * 27.94.\nAnswer: 4513232.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5674689?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2884 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 9202093.\nAnswer: 1\/9202093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 405 divide 210308805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 2:57 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -283*o**2 + 143*o**2 + 144*o**2 + o**4 - 2*o**3 - 2 + 4*o to x + s*o + i*o**3 + u*o**2 + r*o**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -2*z - 8*u + 3*u, -z + 27 = 4*u. What is the derivative of -43*v**3 + 20*v**3 - 13*v**3 + z wrt v?\nAnswer: -108*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 14*c**2 - 5*c + 6. Let g(p) = -15*p**2 + 4*p - 5. Let x = 13875 + -13879. Give x*g(d) - 3*f(d).\nAnswer: 18*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*l + 12 - 344 = 292 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4518*f**2. Let x(h) = 2*h**2. Give l(x(v)).\nAnswer: -18072*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -241272*5.\nAnswer: -1206360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -181 + 177. Which is the smallest value? (a) 5 (b) 2\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a year?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5989323709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - 574\/28 - 27\/(-14))*-7*1?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -8*a**3 + 4*a**2 - 2 + 11*a**3 - 4*a + 0*a - 4*a**3. Let x(j) = 3*j**3 - 7*j**2 + 7*j + 4. Suppose -4*s - 37 + 9 = 0. Calculate s*o(w) - 4*x(w).\nAnswer: -5*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 1. Let t = i + 0. Let u = 0.08 + -0.18. Sort t, u, -0.4 in descending order.\nAnswer: u, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248514 equal to 1248526?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 h when four letters picked without replacement from {h: 6, a: 2, y: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55196 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypmpkyylyklpyypyl. What is prob of sequence my?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 91*q**6\/15 - 3*q**5\/10 - 343*q**2 + 805*q. Find the first derivative of y(c) wrt c.\nAnswer: 728*c**3 - 18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(-165) + 6\/(-15). Which is the nearest to -1\/2? (a) q (b) -0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 89*o**3 - 4*o**2 + 121*o - 115. Calculate i(1).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 3*w**2 - 4. Let p be f(-3). List the prime factors of (-1 + 7)*(-10)\/p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4840 is divided by 967?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 742181 and 1111724?\nAnswer: 1332957076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15063166 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2 + 3, 101 = 2*k - 5*u. What is the remainder when (-21 - (-5 + -10))\/(4\/(-74)) is divided by k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/7 - 149432*l**2\/7 - 2670715360*l\/7 + 4550175228800\/7 = 0. What is l?\nAnswer: -38140, 1564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 4*w**2 - w + 5. Suppose 920*g - 8 = 918*g. Let t be y(g). Solve -4*a = -c - 8, t - 7 = -3*a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30310451+3\nAnswer: 30310454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -403, -399, -405, -427, -471?\n\"Answer: -p**3 + p**2 + 8*p - 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1966 + 3196 + 7274*c + 676 wrt c.\nAnswer: 7274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297) + 2*sqrt(297))\/(sqrt(147)*1) - (-2 + 4 + (-3 + sqrt(275))**2).\nAnswer: -286 + 219*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6876 - 6873. What is the nearest to 8 in -2, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 20. Let p = b - -2. Solve -2 = -5*g + p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320 = 5*i + 290 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 - (16 - 19).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 14227587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/17)\/((-3)\/(27\/(-30))).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 813?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 5*x**2 - 3. Let u(p) = -p**3 + 19*p**2 + 20*p + 3. Let t be u(20). Let c(k) = -2*k**3 + 2 + 0*k**3 + 3 + 9*k**2. Calculate t*c(s) + 5*r(s).\nAnswer: -s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 2. Let s = x + -9. Let o = 31 + s. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (8\/(-12))\/(((-8)\/1182)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2026, 2049, 2120, 2263, 2502, 2861?\nAnswer: 3364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 14. Let u be o(11). Suppose -u*d = d - 20. Suppose 6*a - 5*a - 5*q = 17, 0 = -5*a - q + 7. Put d, a, -1 in ascending order.\nAnswer: -1, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13164*r**2 - 599*r - 7750959.\nAnswer: -26328*r - 599","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78 - -19. Let m = v - 40. What is the remainder when m is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -816915 by -14853.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((600\/(-140))\/15)\/((-24)\/(-14)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19995 * 32.1\nAnswer: -641839.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485038 is divided by 44089?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 0.32, 0.081, 2\/15?\nAnswer: 0.081","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -41461 and 78394.432?\nAnswer: 119855.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -41884.\nAnswer: -41884, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(13*c**4 - 2*c**3 - 24*c**4 - 13*c**4).\nAnswer: -24*c**4 - 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -52*i**3\/3 - 28*i + 4. What is the first derivative of o(b) wrt b?\nAnswer: -104*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from rmmc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -272 by -136.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -329504 divided by -2\nAnswer: 164752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*p + p + 14*p - 9*p to the form a + j*p and give j.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -419.85 - -419. What is the biggest value in 5, r, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(2 + -3)\/1. Let u be 2*y\/6*0. Let v = 2 - u. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4510.\nAnswer: 2, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45826 and 61072?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/12 and -95\/42166.\nAnswer: 252996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 4 (b) -10 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*q - 72813, -l + 2*q + 45034 = -27785. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 2*c - 10. Give p(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -420.64 - -422. Is v > -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7*z - 74132 = -3*g, -3*g + 44484 = 3*z. List the prime factors of z.\nAnswer: 2, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 4*j**2 + 4*j + 4. Let c be b(-5). Suppose 3*h - 27 = c. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(7) + 0 - -6*sqrt(28)) + 4)**2.\nAnswer: 130*sqrt(7) + 1208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a day in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 3*s**2 - s + 2. Give f(-3).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -468508 (base 9) to base 11\nAnswer: -1827a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 328, -1475345, -0.3?\nAnswer: 328","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -15, -13 = -2*u + 6*u + 5*i. Suppose 33 = x - u*p, 2*x - 5*p - 64 = -0*x. Suppose 4*b = x + 13. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 18. Factor h + 2\/3*q - 2\/3*q**2.\nAnswer: -2*q*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114a019 (base 13) to base 15\nAnswer: 705828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 90 or 68?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*u = -489 + 569 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -338916.21274 minus -19?\nAnswer: -338897.21274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -199 - -365. Calculate the remainder when v is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 3*c - 21, 3*c + 2*c - 29 = 3*p. Suppose 6 + 26 = c*y. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z - 42. Let m(d) = 2*d - 22. Determine -5*m(t) + 3*u(t).\nAnswer: -t - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -7*w + 18 - 6*w - 63 + 12*w + 21. What is y(12)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324147 = -n + 1767734. Let v = -323587 + n. Round v to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-320)\/56)\/(-10))\/(1\/7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -10567.\nAnswer: -10569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(360\/(-310)))\/1?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 less than -294415743?\nAnswer: -294415998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 28. Let t be (-4)\/1 + (d - 3). Let p = 1 + -1. Which is the nearest to 1? (a) -3 (b) p (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(1539) + 4).\nAnswer: -18*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b - 2*b + 0*b)*(-7 + 3 + 9) + (-b + 2*b - 3*b)*(-6 - 13 - 3 + (-2 - 1 + 6)*(-5 + 2 + 4) + 3 - 3 + 10) to q + s*b and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-222)\/(-12) - (-90)\/36. Suppose 8 + 6 = -2*f. Let u be (-9)\/a + (-3)\/f. Is -3\/4 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -7*d**6\/60 - 9*d**5\/5 - 13*d**4\/24 + 6*d**3 + 5*d**2 - 137*d. What is c in o(c) = 0?\nAnswer: -10, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1743728?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*s + 20 - 8 = 0, 3*d = 4*s + 9. Solve -5*r - 16 = -d*t + 5*t, -3*t - 2*r - 13 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116956?\nAnswer: 2, 7, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-42))\/((-3)\/1272). Let n = i - 121. Suppose -35 = -4*c + 3*s, -4*c - 2*s = -3*s - 41. What is the third smallest value in 3, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -12*g + 30 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = k + 10. Let l(w) = -2*w**2 - w**2 + k*w**2 - w**3 - 3 - 2*w + 6*w**2. Does 5 divide l(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 8*t. Suppose 14*r = 2255 + 3793. Let w = r + -434. Let c(b) = b**2 + 9*b + 1. Give w*c(s) + 3*z(s).\nAnswer: s**2 + 6*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -4, -2, 65 in descending order.\nAnswer: 65, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 + 3*k + k + k + 0*k + (0 + 2 - 4)*(4*k - k - 5*k) - 2 + 2 - k - 523*k - 29*k - 396*k in the form v + n*k and give n.\nAnswer: -940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.1 (c) 132\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 2\/11, 5, -1, -0.17, -3, 0.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4868 is divided by 324.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114956, 229506, 343646, 457376, 570696?\nAnswer: 683606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1550 - 1554. Sort c, -10, 10, 2, 4 in decreasing order.\nAnswer: 10, 4, 2, c, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vjyyguyjygggygygg. What is prob of sequence jgug?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 4*g = -7*g + 14, -3*i + 2*g = 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 24 - 6 = -g, 3*g + 26 = 5*l. Suppose u + 2*u = 177. Let d = u + -33. Calculate the remainder when d is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j**5 - 12949*j**4 - 102*j + 222 wrt j.\nAnswer: -60*j**3 - 155388*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 10:59 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -17.79*0.3037\nAnswer: -5.402823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -110100000111011 (base 2) to base 14\nAnswer: -9a1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 2. Calculate u(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (296\/16 + -9)*22?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -0.17, -5 in descending order.\nAnswer: 3\/2, -0.17, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53937101233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 2*c - 3*c)*(3 + 1 - 3) + (150*c + 125*c + 23*c)*(2 - 2 - 1).\nAnswer: -296*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82 + -59. What is the greatest common factor of 23 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-30)*(2 - 320\/15).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/12 - (140\/(-24) - 11\/(-110)).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 + -0.05. Let f = s - -0.09. What is the closest to 0 in -1\/4, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 187000 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/(-66))\/(20\/(-3)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 8512117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o + 18. Let h be y(0). Let x = 19 - h. Is (1\/1 + 4)\/x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -29*q**3 - 2*q. Let d(a) = -58*a**3 - 5*a. Calculate -2*d(v) + 5*m(v).\nAnswer: -29*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*j + 1281 = 0, 4*j + 1794 - 2547 = -3*x. Is x a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/411 - 11119\/4521. Find the common denominator of y and 115\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 2*v**2 - 2*v + 162. Let k be w(0). What is the highest common factor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**4 - 38*b**3 - 83*b**2 - 91*b**2 - 56 - 48 - 242*b = 0.\nAnswer: -13, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 235651 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**3 - 13*h**2 + 7*h - 1. Give m(-6).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(325) + 0) - (1 + -1 + sqrt(325)) - (sqrt(325) + -3*1*sqrt(325) + 3))**2*1.\nAnswer: -90*sqrt(13) + 2934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 + -29. Suppose -6*z + 9*z = p. Suppose 3*y + 74 + 5 = u, -u + 59 = z*y. List the prime factors of u.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**2 - 7*v - 4. Let k be y(9). Suppose -2*z + 4*z + k = 5*l, l = -z + 69. What is the greatest common factor of l and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3 = 0, -548 - 820 = -3*r - 5*g. Let w = r + -452. Solve -f + w = 13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2978 from -2872139.\nAnswer: -2875117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 194787*b - 12259674.\nAnswer: -3*(b + 63)*(b + 64866)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.05, -1\/4, -18?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + 10*c - 5*c)*((c + c**2 - c)*(0 + 1 + 1) + 2*c**2 + 1 - 8*c + 3*c + 7*c) as q*c**3 + g*c**2 + a*c + j and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11631138 and 1860.\nAnswer: 116311380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, p: 3}. Give prob of sequence ppp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (12 + -2 + -14) - (-39 + 1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249, -2198, -12179, -34524, -74063, -135626, -224043?\nAnswer: -344144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9639 and 158004.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 27117.8?\nAnswer: 216942.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of m**3\/3 - 3*m**2\/2 - 14*m - 2. Let b be (2\/8)\/(-7 + (-394)\/(-56)). Calculate the remainder when j(b) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100448 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*o + 70*o + 25*o + 24*o to r + x*o and give x.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36\/5 - -113\/15. Which is smaller: z or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyfyyf. What is prob of sequence fy?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24 - 4?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4*-10162\nAnswer: 40648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.4 - 13.9. Let v = 18 + -18.2. Which is the nearest to v? (a) 1 (b) 5\/2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 12, v: 3, u: 1}. What is prob of sequence vv?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 8*m**2 + 10*m - 17. Let h be n(7). What is the tens digit of (44\/(-11))\/(h\/2) + 306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g - 4*w - 11297 = -11257, -3*g + 3 = 5*w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14853.\nAnswer: 3, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5c + 518?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 64. Let r be (-3 + 4)\/((-1)\/11). Let v = j + r. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3751*-11.\nAnswer: 41261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, -8, 33, -4 in decreasing order.\nAnswer: 88, 33, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 268 divided by -67.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-17)*d\/(d*d\/(d**9\/d)))\/(d**(-2)*d\/d**(2\/3)*d) assuming d is positive.\nAnswer: d**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, y: 4, e: 2}. Give prob of picking 1 y and 1 e.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 776006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4 + (-535)\/(-20). Suppose 0 = 4*s - 5*r - a, -4*s - 2*r + 9 = s. Suppose -5*p + 18 = s. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -345*k**8\/14 + k**4\/6 - 103*k**3\/6 - 1649*k. Find the third derivative of n(z) wrt z.\nAnswer: -165600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-26) - 118\/(-91). What is the third smallest value in -4, q, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 289 + -231. What is the highest common divisor of j and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/12*3*4\/(-6)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**5\/6 - 575*b**4 - 60923*b**3\/2 + 1067804*b**2\/3 + 26640488*b = 0.\nAnswer: -3396, -41, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -13119 (base 10) to base 14\nAnswer: -4ad1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/21817928 and -49\/152?\nAnswer: 21817928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/16244 and 50\/166501.\nAnswer: 666004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 - 8*x**2 + x - 1. Let t be k(-4). Let g(a) = a + 7. Determine g(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*r + l, -5*l - 12 = 4*r. Suppose -r + 1 = -w. Let k(q) = 5*q - 1. Calculate k(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*h = 102. Solve m = 2*r - m - 6, h = 4*r + m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + 1. Let y be (4\/(-3))\/(1\/(-3)). Suppose -p = 2*t - y*t. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 12:23 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -520, -3.\nAnswer: -520, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/353 and -17\/7.\nAnswer: 2471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 11 - 1 = 0. Let g(u) = 239*u**3 + 5*u**2 + 2*u - 10. Let q be g(r). Suppose -6*s = -s + q. What is s rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 284 divide 3353472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007699657 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 43792 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205 = -33*s + 26 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16099 + -16098. Which is smaller: 1\/516 or r?\nAnswer: 1\/516","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25289 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 4. Let g be (-7 - -7)\/(n\/(-1)). Suppose b = 4*c - 16, -5*c - 2*b + g*b = -33. Solve -4*k = k + 10, -5 = 5*v - c*k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*((-7)\/4)\/((-826)\/236).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2524 + -633. Let p = q - 1891.00001023. Round p to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*q - 147*q = 28*q + 6656 for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - -15 - (6 + (0 - -2)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -14\/3169, -2, 431, -0.4 in descending order.\nAnswer: 431, -14\/3169, -0.1, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38910.\nAnswer: 2, 3, 5, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p**5 + 57*p**4 - 399*p**3 + 528*p**2 - 108*p = 0.\nAnswer: -9, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 38 + 144*v - 70*v - 71*v - 111. What is u(28)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22233975.\nAnswer: 3, 5, 31, 73, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*g + 370 = -297 - 23 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55349731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24196 - -24203. Let d(o) = 2*o**2 - 6*o - 16. Determine d(z).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -112132, -451393, -1016826, -1808431, -2826208?\n\"Answer: -113086*n**2 - 3*n + 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from {l: 2, b: 5, a: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/2, 29, -2\/7, -15?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 98.98282 weeks?\nAnswer: 59864809536000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26.4 + -274.5. Let y = -302 - h. Round y to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -9*s**3 - 27*s**2. Let z(y) = -8*y**3 - 28*y**2 + y. Let f(n) = -7*o(n) + 6*z(n). Factor f(m).\nAnswer: 3*m*(m + 1)*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1372 (base 13) to base 15.\nAnswer: -c67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (138 - 38 - 364*g + 363*g)*(-5*g**2 + 11*g**2 + g**2).\nAnswer: -7*g**3 + 700*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -914 - -0.1.\nAnswer: -913.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 147, 9\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xiicxnxx. Give prob of picking 1 c and 1 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 4*b + 22 = z, -5 = 5*z - 2*b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 11 = -0*d + 3*f, -4*d + f = -13. Let m(w) = -4*w + 3*w**2 - 2 + 5*w - d*w**2. What are the prime factors of m(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4 + 6. Let s(b) = -b**2 - b. Let u(j) = -5*j**2 - j + 3. Let t(v) = -6*s(v) + u(v). Let y be t(p). Let o(w) = -4*w. Determine o(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -22, 6, -2, 5, -3, -319 in increasing order.\nAnswer: -319, -22, -4, -3, -2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = i - 67, -3*i + 1 + 2 = g. Suppose 21*m - 516 = g*m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(-1 + 4 - 1)*(0*w + w + 9*w)*(3 + 0 - 2).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33518934 take away 19.2?\nAnswer: 33518914.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000014705 to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -7*n**2 + 9*n - 2. Let t(v) = 4*v**2 - 5*v + 1. Give -3*f(r) - 5*t(r).\nAnswer: r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21699477.\nAnswer: 3, 43, 47, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (30 + -48 + 33 - 0) + -1 + -8 + 72\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 c, and 1 u when three letters picked without replacement from {u: 2, i: 1, c: 2, t: 4, w: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-5 - (-5 + -2)) + -8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 2893\/273?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5069697620?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/51 and -8\/27.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -607134 + -13?\nAnswer: -607147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 58727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*x - 3*x. Let g be 31\/(25\/18 - (-6)\/(-4)). Let u = g - -301. Solve x*n + u = -a - a, 0 = -n - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1624 and 408436?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 420*z**3 + 316*z**3 + 7 - 824*z**3 - 9.\nAnswer: -88*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 3*i - 8818. Determine r(91).\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1435 - -147. Let w = -1285.994 - c. Let v = w + -2. What is v rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 76, 96, 118, 142, 168, 196?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/((-61152)\/64) - 272\/(-2940)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 85 divided by -6\nAnswer: -85\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -21592\/3, 0, 12, 6 in descending order.\nAnswer: 12, 6, 0, -4, -21592\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13074332?\nAnswer: 2, 109, 157, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75767*c - 75685*c + 2788 = 0 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(1\/30)*(45\/10)\/(-9). Solve 11*t - 4 = -b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 10*n - 12. Let k be z(-8). Let v(b) = b - 4. What is v(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (21 + -25)\/(((-1)\/3)\/(-1)). What is the remainder when (40\/d + 3)\/(5\/(-3270)) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 10:41 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2003*c + 2000*c + 5925 = 0. What are the prime factors of c?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, r: 6, c: 7}. What is prob of picking 1 o and 2 c?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -1542420040?\nAnswer: 1542420042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3752 * -21\nAnswer: -78792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*f = 31, -3*t - 3*f = -7*t - 3. Solve t*z = 3 + 12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - 0.2. Let x be (-3 - (2 + -5))\/(-2). Which is the nearest to x? (a) 0 (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)\/(sqrt(110)\/(sqrt(10) + sqrt(160))))\/(sqrt(100)\/sqrt(2) + (sqrt(128)*-1 - sqrt(128))).\nAnswer: -5*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -9. Let k(y) be the first derivative of -2*y**3\/3 + 13*y**2\/2 + 16*y + 24. Let h be k(7). Which is greater: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/225)\/(((-12)\/(-2))\/(-2))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + d + 2 = 0, -22 = -w - 63*d + 68*d. Which is the third biggest value? (a) 3 (b) -8 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -702 - -718. Solve 50 = 6*z - u*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + -1 + 2*sqrt(17)*6.\nAnswer: -1 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 150 + -136. Let p be 6\/((-30)\/14 - (-2)\/y). What is the fourth smallest value in 0.2, p, -2\/83, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlllllmlmll. Give prob of sequence lm.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-268)\/(-4020))\/(5\/((-45)\/(-6)))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 44 = -4*i, -22*q - 3*i = -6*q - 11*q + 138 for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -29*o - 226. What is w(-16)?\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21.999973 + 22. Round f to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -88\/15 and 1\/(3 + 1020\/(-304)).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -1, 63, -10\/3, 2, -0.3?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1366, 5, 6, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -62, -4 in increasing order.\nAnswer: -62, -10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of -3 - -140 - 20\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24 + 4)\/2 + 0 + 4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -191?\nAnswer: -6\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 102*a + 723. Let c(w) = 6*w**2. Determine l(c(h)).\nAnswer: 612*h**2 + 723","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1795*c - 30597 = -338*c for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3968 - 2113. Which is greater: 1856 or b?\nAnswer: 1856","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence igt when three letters picked without replacement from txixg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -25292, -25291, -25290, -25289?\n\"Answer: w - 25293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + d - 1, -2*p + 5*d - 13 = -3*p. Let q be (p + 0)\/(-2*1). Which is the third smallest value? (a) 3 (b) q (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 + 8*k + 2. Let g be o(4). Find the second derivative of -106*d - 7*d**2 + 7*d**g + 86*d - 33*d**3 wrt d.\nAnswer: -198*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.17 + 0.17. Let o = 5 + -5.3. Sort 0.5, -0.4, o, v in descending order.\nAnswer: 0.5, v, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27891, 27592, 27089, 26376, 25447, 24296, 22917?\nAnswer: 21304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 629667038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -228*p - 7. Is l(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5340)\/(-2225)*(-3)\/81*(-150)\/(-35)\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, u: 4, r: 8}. What is prob of picking 1 u, 1 r, and 2 q?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/22)\/(47380\/156354)?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = x - 2. Let a(c) = -2*c**3 + 9*c**2 - 10*c + 3. Let h be a(5). Let o be (2\/8)\/((-9)\/h). Solve -2*i = n - 0*i + o, 2*n = -i - x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + 3 - 5 - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**4\/12 + u**3\/2 + 35*u**2. What is v(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -18*i - 10. Does 26 divide z(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from asssassaasas.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c. Let g be (1\/4)\/(2\/8). Calculate d(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 11492\nAnswer: -5\/11492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-40)\/12*(-6)\/(-4) + (230 - -24) is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324) - (2*sqrt(324) + sqrt(324)) - (sqrt(9) - sqrt(27)\/(sqrt(9)\/sqrt(3))))\/(sqrt(192)\/sqrt(4))*-2.\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-12) + 56\/(-42))*44. Let v(b) = -3*b - 39. Let r be v(o). Solve 3*q + g - 5*g - r = 0, 5*g = -q - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45248 and 55776.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*z - 14*z + 6. Find w, given that -4\/9*w - 10\/9*w**4 + 0 + 2*w**z - 14\/9*w**5 + 10\/9*w**2 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 843879 divided by -3\nAnswer: -281293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.6, -0.26, -56, -3?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.8 - 0.2. Let u = 9 + o. Let y = 10 + -9.9. Which is the third smallest value? (a) u (b) -1\/4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5012, 0.3, 5, -3\/2, 0.4, 269.\nAnswer: -5012, -3\/2, 0.3, 0.4, 5, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 4*k**2 + 4*k + 2. Let x be f(-4). Let h be 8\/5 - x\/35. Solve h*w = -2*w - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/2686210 and 52\/5.\nAnswer: 2686210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = -7*g - 10. Suppose 0 = 2*y - 3*u + 18, -2*y - u - 2 = -0*y. Let v be 3 + y - (-14)\/7. Solve 0 = -g*k - 3*d + 20, 4*d = v*k - 0*d + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.827 - -0.173. Let m be (-1)\/(-2)*(0 - 0). Which is smaller: k or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/6 + 15\/45.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -46e + 14?\nAnswer: -45a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -18*j - 5. Let t(f) = 6*f + 2. Let g(m) = 2*i(m) + 7*t(m). Let p(r) = r + 1. Let l(y) = -g(y) + 4*p(y). What is l(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**8\/840 - v**5\/60 + 5*v**4\/24 + 17*v**2. Let g(y) be the second derivative of f(y). What is the derivative of g(m) wrt m?\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z = 0. Let i be (-2 + z)*15\/(-10). Suppose 2*w**4 + 0*w + 6*w**i + 0*w**4 - 6*w + 4 - 4*w**4 - 2*w**2 = 0. Calculate w.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*k**2 + 5*k**2 - 21*k**2 + k**3 - 5*k**4 + 1 - 144*k + 198*k to the form s + r*k + n*k**2 + v*k**4 + f*k**3 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 2, j: 1, w: 4, f: 9}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(4\/1 + -2). What is the derivative of -12 - 11 - d + 4 + 10*b wrt b?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92 + 27 + 35 + 762*k + 32.\nAnswer: 762*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*sqrt(17) - (sqrt(255)\/sqrt(5))\/sqrt(3).\nAnswer: 4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 145 + -124. Let o(c) = c**3 + 4*c**2 - 3. Let k be o(-3). Let m be (-11 - -2)\/(k\/(-4)). Solve m - g = 5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y - 3*t - 233574 = -16*y, 186816 = 4*y + 3*t. What are the prime factors of y?\nAnswer: 2, 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**3 - 9531*d**2 - 9578*d**2 - 9546*d**2 - 9537*d**2 + 38192*d**2.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -753 - -757. Let x(h) = h. Let q(j) = 3*j**2 - 5*j + 2. Give g*x(m) + q(m).\nAnswer: 3*m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, -4, -6, 4 in descending order.\nAnswer: 4, -0.14, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -7 + 9 + 7\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 531566 (base 7) to base 3\nAnswer: 11200000202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 12. Let y be 4 + (2 - 2) - 1. Suppose -z + 662 - 33 = y*f, -c*f + 3*z = -856. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u - 15*u - 59792 = -59621 for u.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81203.503 - -79044. Let r = v - -2161. Round r to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kikaxaknikiiaikxkxiv. Give prob of sequence kav.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -5*s**5 - 35*s**4 + 20*s**3 + 140*s**2 = 0.\nAnswer: -7, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.219101, 1\/18, -1\/5.\nAnswer: -1\/5, 1\/18, 0.219101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**15)\/v)\/(v\/v**(6\/11)*v) assuming v is positive.\nAnswer: v**(149\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17635 and 887977.\nAnswer: 905612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -5*c**3 + 117078135*c**2 - 1170780975*c + 2926952125 = 0?\nAnswer: 5, 23415617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2726 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 139197117479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 7*o + 6. Let n be j(4). Let f be (-274)\/(-18) - n\/(-27). Let i be ((-75)\/(-4))\/(1\/4). Calculate the highest common factor of i and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -5*p - 35, 0 = -l + 2*l + 4*p + 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3654 and 165474.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 33 = -5*d - 172, -2*d = u + 71. Let s be (-3687)\/2*d\/22. Let z = s - 3185. Calculate the common denominator of z and -47\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1356290*u*x + 3914523*u + x with respect to x.\nAnswer: 1356290*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1596 = -n - 5*n. Let g = n - 242. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 16*d**4 + d**3 - 26*d**2 - 11*d - 5. Let o(g) = g**4 + g**3 + g**2 + g + 1. Let v(p) = 5*o(p) + t(p). Factor v(c).\nAnswer: 3*c*(c - 1)*(c + 1)*(7*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2585885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g - 1. Let i be w(2). Suppose 0 = 5*z - u - i, -2*z = -3*z - 2*u + 4. Let d be (2 - (4 - z)) + 13. What is the highest common factor of d and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -6 (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -15*z**2 - 3*z + 27. Let f be i(0). Solve f - 23 = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 11:55 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2\/13*s**2 + 132\/13*s + 3024\/13 = 0.\nAnswer: -18, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/2884448 and -79\/12?\nAnswer: 8653344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 567837?\nAnswer: 3, 21031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1275282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/16)\/((-576)\/(-3072)). Which is the closest to -2\/7? (a) -1\/2 (b) w (c) 2\/3 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3216 (base 10) to base 9\nAnswer: 4363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 8:22 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*s**4 + 6*s**2 - 208*s?\nAnswer: -60*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -6*v + 28. Solve 0*y - v = -5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 z, and 1 d when four letters picked without replacement from {w: 5, n: 3, d: 5, r: 2, z: 3}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**4\/8 + 5*x**2. Let l(j) = j. Let m(g) = -2*g. Let b be 72\/(-30) + (-3)\/5. Let w(r) = b*l(r) - m(r). Give c(w(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 525 + -290. Let x = -4 + 8. Suppose x = 4*d, -2*d + y - 48 = 5*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 - -114. Let i = 17 - 43. What is the remainder when h is divided by ((-2)\/(-1))\/((-4)\/i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 11*d**2 - 65*d - 4024. List the prime factors of w(88).\nAnswer: 2, 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**2 - x**2 - x**2 + (-65*x - 23*x - 12*x)*(0 + 0 + 3)*(3*x - x - 3*x).\nAnswer: 295*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 2. Let i(l) = -4*l - 7. Let z(d) = -7*c(d) - 2*i(d). Let y(m) = 5*m. Determine z(y(u)).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**5\/60 - 3*h**4\/8 + 5*h**3\/6 - 3*h**2. What is the units digit of c(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15444798 is divided by 1020?\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2641 - 22?\nAnswer: -2663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8698446?\nAnswer: 2, 3, 483247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2227293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + 11 - 5*g**3 + 11 - 20 + g**4 - g in the form s*g**2 + x*g + q*g**4 + n + y*g**3 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 495 and 2013.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -67881968 divided by 6776\nAnswer: -10018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**4 + 785*z**3 + 795*z**2 - 785*z - 790 = 0. What is z?\nAnswer: -1, 1, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6106)\/140 - 2\/7. Let p = a + 472\/5. What is the common denominator of p and 244*4\/208 - (4 - 0)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20\/13, -3\/58, -0.09, 34\/3.\nAnswer: -0.09, -3\/58, 20\/13, 34\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46366 + 5?\nAnswer: 46404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*p - 12 = 0, -12 = -2*y + p - 2*p. Let h be y\/10*(3 - 23). What is the units digit of (-13)\/(-11) - h\/(-44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z + 0*z + z + 4 - 4 - 3*z + (2*z - z + 2*z)*(-2 + 1 + 0) - 6*z + 2*z + 9*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 33 (b) 7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 44\/8 - (-2)\/4. Let g(d) = -d**2 + 8*d - 6. Suppose -c - 3*w + 22 = -5*w, c - 3*w = 25. What is the remainder when c is divided by g(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 102*f*v**6 + 2*f*v**2 - f*v - 2*f + 17646*v**4 + 162*v**3 - 2*v**2 - 2*v - 247244 wrt v?\nAnswer: 12240*f*v**3 + 423504*v + 972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(432)*2 + -3) + -1.\nAnswer: -7 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -197 (base 11) to base 10.\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*r*s**3 + 2*r*s**2*u**3 + 4*r*s**2*u**2 - 4247*s**3*u**3 - 2*s**3*u**2 - 191*s**3*u - 3*s wrt u?\nAnswer: 12*r*s**2 - 25482*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 34 = -13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 2*q + 134 = 155, -3*q = -2*d - 24 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2. Let r(k) = -k**2 - 1. Let j(a) = -110*a**2 - 90. Let b(l) = 2*j(l) - 180*r(l). Determine w(b(x)).\nAnswer: -1600*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5, -1, 1, 1?\n\"Answer: -n**2 + 7*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -71\/17, -4, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o - 72 = 25*o. Suppose 4*r + 8*r - o = 0. Solve 1 = r*b - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-54))\/(14\/(-84))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 8*v**3 + v + 3. Let x(f) = -9*f**3 - 4. What is 3*x(i) + 4*y(i)?\nAnswer: 5*i**3 + 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5 + -1 + sqrt(612) + 2)*5.\nAnswer: -15 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -9*c - 40, 4*c = -2*i + 14 - 38. Let f(n) = -14*n**3 + 15*n**2 - 23. Let l(x) = -5*x**3 + 5*x**2 - 8. Calculate i*f(r) + 11*l(r).\nAnswer: r**3 - 5*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 37 = r, 3*f = -r - 0*r + 53. Let p be 54\/10 + f\/(-40). Suppose -65\/4*i**3 + 0 - 45\/4*i**p - 1\/2*i + 19\/4*i**2 + 93\/4*i**4 = 0. What is i?\nAnswer: 0, 1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1 + 4 + 3*v - 6 + 13*v. Let r be k(1). What is the first derivative of 5*y**3 - r + 23 + 5*y**3 wrt y?\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1561*o + 1075*o + 1433*o in the form w + y*o and give y.\nAnswer: 4069","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*n + 197*n = -3. List the prime factors of (-28)\/7 + (n - -272).\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1247884869 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/139 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmva when four letters picked without replacement from mgavwaj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 8*r**2 - 3*r - 5. Let i be p(8). Let d = i + 61. Which is smaller: d or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooyfpozfpfo. Give prob of sequence op.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00154987 to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/5 (b) 0 (c) -15 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**(2\/171)*(w*w**(-4)\/w)\/((w*w**(-2))\/w)*(w**(-3)*w*w**3)**0 assuming w is positive.\nAnswer: w**(-340\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 84953*j**3 - 390*j - 42481*j**3 - 2*j**2 - 42479*j**3 + (-2*j**2 + 0*j**2 + 4*j**2)*(-4*j - j + 2*j) in the form d + u*j + z*j**2 + p*j**3 and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 1 + 5 - 6. Let i(u) = -u. Determine r(i(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**3 + 12*m**2 - 40*m = 0.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 0, 4*q + y - 4*y + 12 = 0. Let i(d) = -d**3 - 11*d**2 - 11*d - 12. Let k be i(-10). Put k, 1, q in decreasing order.\nAnswer: 1, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/154 in 4, 1\/4, 4\/15?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 103*b - 29. What is the units digit of t(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + (17 - (-62 - -46))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 plus -1191766?\nAnswer: -1191747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y - 45 = 0. Let t be (1\/(4\/(-66)) - 3)*-4. Let n = y + t. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -19375*l - 84. Let y be m(-3). Suppose 0 = 113*i - 122*i + y. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l - 29. Let w(b) = 14*b - 72. Let j(h) = -4*w(h) + 10*x(h). Let c(g) = -13*g + 6. Give 4*c(n) + 11*j(n).\nAnswer: -8*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/4 - (-7093)\/(-4). Let a = 3358 - 331. Let t = j - a. Round t to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**9\/v)\/v*v\/v**(16\/3) assuming v is positive.\nAnswer: v**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 34*k + 301. Give d(14).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1755*b - 1755*b + 297*b**5)*(-2 + 4 - 1).\nAnswer: 297*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 11 (b) 2\/39 (c) -1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/24 + 190\/4. Let i be 8*(-1)\/(-4)*-2 + 0. Let v be 144\/(-2)*i\/6. Is l != v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12, -13, -20, -33, -52?\n\"Answer: -3*t**2 + 8*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -407 + 406.1. Which is smaller: 1\/5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (14 - -3 - 15).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-3*(-25)\/(-15))\/(-4)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + 22. What are the prime factors of m?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1130*d**3 - 64?\nAnswer: 3390*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 7 = 2*i. Let f(c) = -31*c + 250. Let x be f(8). Put x, -5, i, 0 in ascending order.\nAnswer: i, -5, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 8748\nAnswer: -43740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4 - 0. Let p = 0 - x. Solve -5*u + 2*f = -f + 21, -u - 7 = -p*f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 20 = -4*t - 60, x - 21 = 5*t. Let i = -0.06 + -0.04. Let o = -4 + 3. Which is the nearest to i? (a) 2 (b) t (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18018005*v**3 + v**2 + 242370917*v wrt v.\nAnswer: -108108030*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**2 + 27698*i - 2230416 = 0.\nAnswer: 81, 13768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 0*j**5 + 0*j**4 - 5\/6*j**6 - 7\/3*j**3 - 7 + 0*j**2 + 0*j. What is the third derivative of p(v) wrt v?\nAnswer: -300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/33*(-7293)\/43758.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + u + 133 - 14, 3*u - 281 = 5*h. Let a = h + 60. Suppose 2*z + 2*z - 548 = -4*s, 3*z - a*s = 416. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 961260 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/2348?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 4*o + 2. Let h be g(-4). Let b(w) = 4*w + 2 + w**h - 4*w. List the prime factors of b(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*y**4 + 1016*y**3 + 7964*y**2 + 18856*y + 3808 = 0. What is y?\nAnswer: -17, -7, -4, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, 48.77, 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**5\/30 - z**4\/18 - z**3\/9 + z**2\/3 - 18*z. Factor d(j).\nAnswer: 2*(j - 1)**2*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*w - 4*w - 5*w)*(-4 + 3*w + 4) + 0*w**2 + 3*w**2 - 2*w**2)*(w + 3*w + w) to x + h*w + q*w**3 + t*w**2 and give q.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 5:37 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23\/6, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**2*n**3 - 119*f**2*n*x + 13*f*n**3 + 3*f*n*x + n*x wrt f?\nAnswer: 4*n**3 - 238*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 30 = -2*w. Let m(y) = 2. Let r(v) = -10*v**2 + 14*v + 15. Let j(b) = -5*m(b) - r(b). Is j(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3.03. Let h = -0.47 + x. Let t = -1880\/9 - -18809\/90. Which is the third smallest value? (a) t (b) -2\/9 (c) h (d) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 3*w - 111, 4*k + 0*w + 5*w = -113. Let s = -9 - k. Calculate the highest common divisor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -192 * -17\nAnswer: 3264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/5, -1\/7, 8\/101, 2, -4\/5?\nAnswer: 8\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -304*b + 321*b + 85 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - y**2 - y - 1. Let o(f) = 8*f**3 + 10*f**2 + 5*f + 11. Determine -o(d) - 6*u(d).\nAnswer: -2*d**3 - 4*d**2 + d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + n - 2 - 14, 10*n - 7*n = 4*m - 43 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -231 - 96. Let f = 192 + b. What are the prime factors of f?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106623353567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/372 and 25\/52452?\nAnswer: 52452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*r = 69*r - 47*r - 4800. What is the highest common factor of r and 2225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**8\/224 + 3*u**7\/28 - 7*u**6\/40 + 48*u**2. Solve m(x) = 0.\nAnswer: 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57600?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*k + 5, 0 = 5*k - 3*k - z - 1. What is the second biggest value in -3\/4, k, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from {p: 4, r: 2, i: 1, s: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v*v*(v*v\/(v*v**22))\/v*v)*v\/(v\/(v**(1\/4)\/v*v)))**(-8\/11) assuming v is positive.\nAnswer: v**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 127382796 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-185*b - 18*b - 960*b)*(0*b - b - b)*(-4*b**2 + 2*b**2 + b**2) to c*b**2 + m + q*b**4 + l*b + t*b**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-6)\/(-9) - (-2)\/6). Sort 4, 7, -1, p in decreasing order.\nAnswer: 7, 4, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*t = 240. Calculate the greatest common divisor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -950300 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -12. Let o(j) = -34*j**3 - 123*j**2 + 124*j - 7. Let s(a) = -5*a**3 - 18*a**2 + 18*a - 1. Let h(l) = -4*o(l) + 27*s(l). Determine h(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001051244183 to five decimal places.\nAnswer: 0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 - -30. Let a = -11 - n. Suppose 4*f - 354 = g - 4*g, -a = -g. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/434)\/((-74)\/259).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19279 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 0*n**2 - n**2 + 288679*n + 6*n**3 - 288677*n. Let j(u) = -u**3 - u. Determine 2*j(r) + v(r).\nAnswer: 4*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 160*g**4 + g**3 - 6*g**2 + 17*g - 913537 wrt g.\nAnswer: 640*g**3 + 3*g**2 - 12*g + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1422605*i**3*k + 2779*i**2*k + 286*k wrt i.\nAnswer: 8535630*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6490081 to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**2 + 3460292*n + 6920568 = 0. What is n?\nAnswer: -865071, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 811015, 1622025, 2433035?\n\"Answer: 811010*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.4 + 0.1. Let d = -0.7 + u. Sort -5, d, -1.\nAnswer: -5, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 3 = -3*v. Let d be ((-21)\/(-6))\/(v\/(-10)). Calculate the greatest common divisor of 14 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -242*v**4 + 4*v - 126 wrt v?\nAnswer: -2904*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -27*u**5\/7 + 267810*u**4\/7 - 505633*u**3\/7 - 1329018*u**2\/7 + 1388404*u\/7 - 238008\/7 = 0.\nAnswer: -2, 2\/9, 2\/3, 3, 9917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/123 + 14\/41. Let y = 211\/4 - 53. What is the closest to y in -1\/7, -5, c?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(34)\/sqrt(2) + 4 + sqrt(85)\/sqrt(5) - (sqrt(170) - (sqrt(170) + -2*sqrt(170))*-5)\/(3*(sqrt(10) - sqrt(250))))**2.\nAnswer: -10*sqrt(17)\/3 + 434\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4792 * -0.4.\nAnswer: -1916.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328 - 113 - 113 - 102 - 3*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8522938 * 0.05\nAnswer: -426146.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by (24\/(-5))\/(16\/(-40)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(8\/7)*p**(2\/3) assuming p is positive.\nAnswer: p**(38\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 319597480 to the nearest 100000.\nAnswer: 319600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 962090 + -0.090727\nAnswer: 962089.909273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -12. Factor -q + 4*q**3 - 15*q**3 + q**p + 3*q**2 + 8*q**3.\nAnswer: q*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-15) - ((-6)\/(-24))\/((-570)\/88616)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -524 + -2?\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/235172 and 43\/777.\nAnswer: 705516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 + 70 + 25)*(-80*p - 80*p + 155*p - 2 + 2 + p + (5 - 2*p - 5)*(-2 - 1 + 4)) to t + o*p and give o.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 18*o**2 - 26 + 16 + 10.\nAnswer: 2*o**2*(o - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30300210 - 30431?\nAnswer: 30214224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1962, -4, 1, 32 in descending order.\nAnswer: 1962, 32, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -431 (base 8) to base 15.\nAnswer: -13b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**4\/12 - 4*a**2. Let o(j) = 4*j**2. Give m(o(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 521947717 to the power of 1\/4, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 187 = 11. Let j = i - 32. What is the remainder when 23 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 42 + 29 + 2*k)*(-k - k**4 + k) + (-k**5 + 0 + 0)*(0 - 3 + 0).\nAnswer: k**5 - 11*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, o: 2, f: 1, l: 3, b: 6}. What is prob of picking 1 f and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -20*x**2 - 39*x + 6. Let z be s(-2). Suppose 14*p + 5 = 15*p. Which is the closest to z? (a) 0.4 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.2 (c) -4 (d) -6.3 (e) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*i - 70 = 0, 5*i = -5*j + 56 + 29. Suppose 0*f = 3*f + j. Sort -5, f, -1.\nAnswer: -5, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-210)\/(-75)*(8 + -12 + 5) + 1.\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50580 + -15714. List the prime factors of f.\nAnswer: 2, 3, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10) - (-7176)\/(-260)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.5 (b) 6.2 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(5)*-2)**2*-3.\nAnswer: -108 - 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {x: 1, d: 1, h: 3, n: 5, j: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l - 2376 = 45*l - 18*l + 30*l for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 5*s = 7, 151*t = 153*t + 2*s - 10 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -478366, -478365, -478364, -478363?\nAnswer: -478362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z + 1. Let n(u) = u + 7. Let a be n(-5). Let f = -5 + a. What are the prime factors of w(f)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 376203*a**2 + 0 + 0 - 3*a - 376205*a**2. Let u = 11 + -7. Let t(j) = -3*j**2 - 4*j. Determine u*l(f) - 3*t(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g**2 - 3*g + 4. Let l(v) = -11 + 5*v + 7*v**2 + 7 - 3. Give -11*d(u) - 6*l(u).\nAnswer: 2*u**2 + 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*c**4 + 26*c - 42*c + 38*c wrt c.\nAnswer: -96*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 187, 283, 379, 475, 571?\nAnswer: 667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 20.7*-0.415\nAnswer: -8.5905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*r = -328*r - 55 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 11:04 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 9*b. Let m be a(9). Suppose -1 = -0*c + 3*c + 4*p, 4*p = 5*c - 9. Which is smaller: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 2*s + 7278. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -601063 (base 15) in base 14?\nAnswer: -8699c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 1 = -14, -5*u = -5*t + 40. Suppose -k + 4*o + 12 = 0, t*k + 0*o - 4*o = 12. What is the second biggest value in 4\/3, k, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + -4 + -2 - -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/4 - 160879*s\/4 + 40220.\nAnswer: -(s - 1)*(s + 160880)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2\/29, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tpct when four letters picked without replacement from pttc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 166 = -131 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 37, -7, -2 in increasing order.\nAnswer: -7, -5, -2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3510 (base 6) in base 4?\nAnswer: -31002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 l, and 1 s when three letters picked without replacement from {q: 1, g: 3, n: 4, s: 1, u: 4, l: 2}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3064 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 54879.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 0.31, -4?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 161.00647 + -161. What is l rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 8*a**2 - 3*a - 6. Let d be l(-8). Let z = -8 + d. What is the remainder when z is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -649 + 1403. Let y = g + -754.00537. What is y rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34389450383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398003?\nAnswer: 523, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14700309.\nAnswer: 3, 13, 376931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 1250*c + 1. Let u be g(6). Let h = u + -67435\/9. What is the common denominator of 37\/3 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - g - 8. Determine b(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, w: 1, m: 1, a: 2, e: 6}. Give prob of picking 2 a and 1 f.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*h + 37744, -181*h + 25151 = -179*h - 5*g. List the prime factors of h.\nAnswer: 2, 3, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-325) + 178\/(-26)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11635 - -16467. Suppose 18*i = 14*i + s. Suppose 13*u = 5*u + i. Does 42 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/130 and -97\/1460?\nAnswer: 18980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 20?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**2 + 3*u**2 + 2*u**2.\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 261\/(-27)) + (-464)\/660.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrll when four letters picked without replacement from rrorolrrlrlrollro.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -q + 5 - 624*q**4 + 528*q**4 + 747*q**3 - 745*q**3 as c*q**3 + m*q**2 + f*q**4 + v*q + b and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27636, -56154, -84672, -113190, -141708?\n\"Answer: -28518*a + 882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1245*w + 5*t - 8 = -1249*w, -20 = 4*w - 2*t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1798 and 182790074?\nAnswer: 1798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2227 (base 8) to base 16\nAnswer: -497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1592*s = 6790 + 1170 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 + 2*b**2 + 2*b + 4. Suppose -5*s = 4 - 14. Let q(p) = 2*p**3 + 3*p**2 + 3*p + 5. Determine s*q(v) - 3*h(v).\nAnswer: -2*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -3\/40, -3, 4, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34.05154 * 3.\nAnswer: 102.15462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 6)*(1059 + 82*m - 1059 + ((4*m + m - 3*m)*(0 + 0 + 1) + 2 + 2*m - 2)*(-3 + 3 + 2)).\nAnswer: 180*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*c + 3 = -1, -5*c + 32 = i. Suppose 2*l + i = -l. Let g = 73 - 73.5. What is the nearest to -1\/5 in l, 0.2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zs when two letters picked without replacement from szzhhssshssssssh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-20)*(-1)\/(-10)*5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3369 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.65 - 6.65. Is j <= 0.69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 3548 = -448. Let d = p + 1017. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-190)\/(-8) - (-18)\/72. Let k = -24 + x. Solve -6 = -2*n + 4*b - 4, k = 4*n - 5*b + 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*u = 180, u = -5*i + 8*i - 192. What is the remainder when i is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*m - 182500 = -815426. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 10) to base 2.\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -14, 60, -1, -3 in ascending order.\nAnswer: -14, -3, -1, 0, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 191\/3 - (2 - (-7)\/(-3)). Let g = z - 62. Let v be (-5)\/g*30\/(-25). Solve 3*u = -5*w - 14, w - 10 = v*u + 2*w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a - 10. Let d be l(-15). What is the greatest common factor of d and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccdc when four letters picked without replacement from {d: 12, c: 5, h: 1}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -10*f**2. Let c(r) = -19*r**2. Give c(u(n)).\nAnswer: -1900*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2 + 3 = 0. Suppose -2*j = -5*c + 19, j + 4*c = 24 - z. Suppose 0 = -j*x - 0*x. Solve x = -k - 0*k - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvccz. Give prob of picking 1 v and 2 c.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -449 + 30982\/69. Let z = -25\/138 + a. What is the third smallest value in 0.05, 4, z, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185011958 to the power of 1\/2, to the nearest integer?\nAnswer: 13602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26665198 is divided by 8888394.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j - 10*j - 52 = 4*c, -7 = -4*j - 5*c for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 386.8799 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1048\/203 + -13\/29. Let j = 5601 + -44885\/8. What is the common denominator of j and a?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**2 + 119166*l - 119164 = 0?\nAnswer: 1, 59582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-3 - 69\/(-6))*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 smaller than 4527\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008461 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 e, and 1 j when four letters picked without replacement from jdujeld?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 638*t**3 + 99. Let r(s) = -13*s**3 - 2. Calculate 2*q(h) + 99*r(h).\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = f + 4*f + 2*t, -407*t = -402*t + 9 - 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkvkpiy. What is prob of sequence ky?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*j + 66*j + 2*p = -73251, 3*p = 3*j - 219765. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - ((-6)\/(-3) - -2). Solve -i*p = 3*c - 3, 2*c - 4*c + 4 = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -8*t**2 - 3*t. Let i(j) be the second derivative of 2*j**4\/3 + 2*j**3\/3 + 99*j. Let w(z) = -3*i(z) - 4*x(z). Let q(a) = 3*a**2. Calculate q(w(u)).\nAnswer: 192*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {v: 2, l: 10, a: 3, m: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**3 - 53*d**3 - 2 + d**2 - 22*d - 8*d**3 + d**2 - 120*d**3 to the form q*d + x*d**3 + r + z*d**2 and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 582 - 580. Suppose -4*a - 6 = t, 13*t = 15*t + y*a. Solve -b - j - 3*j + 17 = 0, -t*j + 7 = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -2*g - 15. Let d = g - 19. Suppose -y - 3 = -d. Solve -y*h + 1 = -3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**4 - 96*l**2 + 68*l - 33205.\nAnswer: -8*l**3 - 192*l + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.4209 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + sqrt(7) + (-1 + (sqrt(7) - sqrt(700)))**2.\nAnswer: 19*sqrt(7) + 565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -7, 0.1, -4.76, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w + w**2 - 2*w - 2*w**2 + 0*w**2 - 2*w**2 + (4*w - 4*w - 2*w**2)*(-3 - 3 + 5).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i + 504 = -8*i. Let a = -14 - -22. What is the greatest common divisor of i and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3730608.5799 + 904.4201. Let u = -3731506.9999855 + n. Let a = u - 6. Round a to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151.82763 rounded to 1 dp?\nAnswer: 151.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164 - 81 - 83 - 2*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from rxexfreff?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(50))\/sqrt(5))\/(sqrt(180) + 2*sqrt(180) + sqrt(180)))**2*6.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.42872049 minus -32708?\nAnswer: 32708.42872049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 288*n - 15842. Let y be q(55). Let f be (2\/(-26))\/(1\/(-2)). Let l = 35\/54 - 4\/27. Which is the third biggest value? (a) y (b) 4 (c) f (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-3)\/(2\/(2\/(-3))). Let u(i) = 6*i**3 - 2*i**2 + 2*i - 1. Let z be u(q). Suppose -4*f + 3*v = -415, z = 8*v - 9*v. Is f a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -7. Let c(u) = -u**3 + 7*u**2 + u - 3. Let v be c(o). Let g = 139 + v. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5696 + -45681.1.\nAnswer: -39985.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/6006 and -85\/9438.\nAnswer: 66066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**2\/5 - 6731*s\/5 - 1601548\/5 = 0.\nAnswer: -6484, -247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1\/8, 68, -2\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4597\/90 - 254\/5. Let l(z) = z**3 - 2*z**2 + 5*z - 4. Let p be l(4). Find the common denominator of a and ((-122)\/p)\/((-4)\/(-6)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*h**5 + 7326*h**4 - 4*h**3 - 48*h**2 + h - 3462 wrt h.\nAnswer: -420*h**2 + 175824*h - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 623261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14896*k + 20 = 14900*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 1254*d**3 - 3*d**2 + 3*d - 1. Is c(1) a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 3\/4, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0*r)\/r*r)**(5\/9)*r*r\/(r\/(r*r**(-1\/13)))*r*r*r**(-2\/11)*(r**(-3)\/r*r*r**(-2))**(-33) assuming r is positive.\nAnswer: r**(217885\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**5 - z**3 + z**3)*(-5 + 2 + 0) - 2 + 2 + 2*z**5 + (z**3 - 7*z**3 + 3*z**3)*(4*z**2 - z**2 - 5*z**2) + 7*z**5 - 2*z**5 + 0*z**5.\nAnswer: 10*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1.01. Let d = q + 0.09. Let i = -31 - -157\/5. What is the closest to i in d, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -147 + 311. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/5)*j*j\/(j*j**(1\/3)*j)*j**1\/j**(-1\/5) assuming j is positive.\nAnswer: j**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**2 - 311 + 1196*a**3 - 59 + 50 wrt a.\nAnswer: 7176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/15681631 and 149\/9904188.\nAnswer: 188179572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (8 - (22 - 10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 7:01 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.05 (b) 2\/7 (c) 5561\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 162*q**2 - 46 + 41 to c*q + i*q**2 + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 784 and 588.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**5 + 2*a**5 + a**5)*(-11 - 1 + 1)*(15 - 8 + 1)*(0 + 2 + 1).\nAnswer: 528*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*c + 11 - 42 = 0, -4*b + 5*c = -113. Let p = 21 - b. Let d(q) = 4*q + 6. Determine d(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*j - 15 - 2 = 0, -4*j + 8 = 4*l. Suppose t - 14 = 3*u - 2, 0 = 3*t + 3*u. Sort t, l, -4, -2 in decreasing order.\nAnswer: t, l, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -24, 2\/7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -1. Suppose -2*z - 8 = -u*z + 2*t, -2*z + 12 = -2*t. What is the third smallest value in z, -0.3, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 460 = 6*d. Let b = 239 + d. Let h be b\/8 - (-2)\/4. What is the highest common divisor of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3249 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -27*x**2 - 4. Let c(n) be the third derivative of 1147*n**5\/30 + 341*n**3\/6 - 1737*n**2. Determine 4*c(g) + 341*h(g).\nAnswer: -31*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.444 + -33.544. Let f = -32.9 - u. Which is the third smallest value? (a) 4\/5 (b) -0.9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -632700 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25993882980 rounded to the nearest 100000?\nAnswer: 25993900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 11011?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/5*((-2)\/30)\/((286\/(-22))\/78)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(312\/(-104)*(-10)\/(-12))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 - 4*s**2 + 0*s**2 + (10 - 7*s - 10)*(11*s - 6*s - 4*s) as a*s + v*s**2 + x and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, -1, -0.35, -9\/8, 1\/9?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11000 by -1000.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247383?\nAnswer: 3, 27487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.675 + -8.075. Sort -0.5, p, 0.5, 71, 2\/9 in increasing order.\nAnswer: -0.5, p, 2\/9, 0.5, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.5 + -9.9. Which is the closest to 1? (a) 0.4 (b) y (c) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 787667865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 248974*h - 14945640.\nAnswer: 2*(h - 124547)*(h + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-14)*49\/(-2)*32432\/24324?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -309, -0.3, 9, 2\/11?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 312031211020 (base 4) in base 15?\nAnswer: 13aabba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**2 + 2*s. Let l be i(5). Suppose -5*n = -k, -10 = -3*k + n + 18. What is the greatest common factor of l and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*a - 259873 - 2*a**3 - 2*a**3 + 259873 + 3*a**3.\nAnswer: -a**3 - 21*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1913 + 22*g**5 - 155*g**4 + 3860 + 320*g**3 - 1922 + 20*g - 2*g**5 - 230*g**2 = 0.\nAnswer: -1\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, t: 1, i: 1, g: 2}. Give prob of picking 2 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14704 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14985 and 5168205?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 120, 281, 566, 1017, 1676, 2585, 3786?\nAnswer: 5321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2744 and 31.2.\nAnswer: -85612.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -457697330 by -794.\nAnswer: 576445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from gljljbuhb.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -7. Let y = w - -5.5. Which is the third biggest value? (a) 0.1 (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/37)\/(i*(i\/(i\/(i\/i**(3\/26)))*i)\/i*i)*(i\/(i**(-17\/5)*i)*i)\/(i\/i**(-33)*i) assuming i is positive.\nAnswer: i**(-160671\/4810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 1 + 1 - 1. Let f be x(-3). Let p = f - 0. Solve -4 + 8 = 5*h + p*j, -2*j = h + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-3)\/(-60)) + 3. Suppose -2*u = 5*x + z, 3 = -4*u + 2*u - x. Let v = u - 10. Which is greater: v or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine thirds of a century in months?\nAnswer: 23600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 + 10 = -15*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 58179949 - -188656\nAnswer: 58368605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1385, 5385, 12045, 21359, 33321?\nAnswer: 47925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**5 - 1223381*d**4 + 45266106*d**3 - 440430156*d**2 + 396387432*d = 0. Calculate d.\nAnswer: -1223418, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -7, 4 in ascending order.\nAnswer: -7, -2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -310?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/3)\/((-3)\/(-18)). Suppose -18 = -t*o + 9*o. What is the highest common factor of 12 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26292426999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545750 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 9*z + 38 = -5*f, -7*f - 61 = -4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86424 and 429.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3475729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 3*l - 4*g, 0 = 4*l - 5*l + 3*g - 26. Let o(u) = 53*u + 69. Let j(m) = -26*m - 33. Let i(d) = 9*j(d) + 4*o(d). Is i(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 1. Let p = 11 + 23. Let c = p - 19. Suppose -c = 10*r - 5*r, -7 = -g + 4*r. Let s(x) = x**2 - 7*x + 5. What is g*k(n) - s(n)?\nAnswer: -n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13821265*u**3*x**2 + 6*u**2*x - 53*u*x**2 + 2*u*x - 2*u + 634156*x**2 wrt u.\nAnswer: -82927590*u*x**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -269794059, -539588118, -809382177, -1079176236, -1348970295, -1618764354?\nAnswer: -1888558413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 4*c = 4*c. Suppose -5*f - 27*s + 22*s + 9740 = c, 3871 = 2*f - 3*s. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (40 + -31 - (8 - -11)) + -5 + 21\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3348.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -43, -1, -10, 4 in increasing order.\nAnswer: -43, -10, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 426774173*v**5 + 595*v - 215897 wrt v?\nAnswer: 8535483460*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 4:14 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -116 - -350. What are the prime factors of i?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.167 and 9454?\nAnswer: 1578.818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 1:15 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5895988, -11791979, -17687970?\nAnswer: -23583961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 + 14)*2\/(-3). Let p = -1 - m. Suppose -p*s + 5*s - 4*x - 30 = 0, 59 = 5*s - 2*x. Is 10 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/7, 0.7, -3\/4, 0?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 - 35*m**2 + 18*m - 14. Let u be q(17). Suppose 2*y = -0*y. Which is smaller: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*-5758\nAnswer: 57580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*w - 0. Suppose -4*r + 2*i - 4 = 0, 3*i = -w*r + 2*r + 14. Let j = 13 - r. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - (-4 + -86))*1. Let z = n + -92. Put -2, -4, 4, z in descending order.\nAnswer: 4, z, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-33)\/7)\/(-1) - (-4)\/14. Suppose -3*j - m*j = -1024. Calculate the highest common divisor of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 + 4*b**2 + b - 2. Let x be d(-2). Let a = 1 - x. Suppose -3*l + 12 + 16 = 4*v, a*v + 22 = l. What is the highest common divisor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from titttttznzti. What is prob of picking 1 t and 1 n?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -30340672 divided by -8\nAnswer: 3792584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1174343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -10*i + 30. Let z be r(-24). Let k be z\/(-6)*1\/(-3). Solve 9*y + k = 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21906.262 rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -8*c**2 + c + 1. Let y be u(-2). Let a = -20 - y. What is the highest common divisor of 143 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -103, -154, -205, -256?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 4320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -83*m**2 + m. Let p(n) = -2*n**2. Give v(p(x)).\nAnswer: -332*x**4 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (391 - 15*r - 391)*(4 - 3 + 1) + (10 + 7 - 4)*(2*r - 2*r - 2*r).\nAnswer: -56*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = -12*x - 4. Suppose 5*w - 4*l = 170, 2*l - 86 = -x*w - 0*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, m: 1, a: 2, l: 4}. Give prob of picking 1 m and 1 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 6*n**2 - 19*n + 17. Calculate s(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2260\/13 + -174. Is u >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**3 - 75*p**2 - 16*p - 52. Let r be v(19). Solve -5*d + 181*o = 177*o + r, 0 = -o - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3977*t**2 + 3981*t**2 + 33*t - 27*t - 6*t.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/42)\/((-5775)\/(-121275))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -244295 divided by 48859.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -476 + 579. Suppose 101*v - a + 1 = u*v, 0 = -a - 5. Solve -l - 2 = 2*j, 0*j + 3*j - v*l + 3 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1270 and 3.317.\nAnswer: 4212.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4143 or 33149\/8?\nAnswer: 4143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (45\/36)\/(70\/48). What is the biggest value in 1, 2, o, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 6101*q**4 + 52*q**2 + 7*q + 2. Let i(v) = -5*v**4 + v**2 + 1. Let y(o) = 2*i(o) - r(o). What is the third derivative of y(w) wrt w?\nAnswer: -146664*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3904 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**4\/2 + 6*y**2 + 84*y + 219. Find the first derivative of i(d) wrt d.\nAnswer: 6*d**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1209062876 to the nearest integer?\nAnswer: 34772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3940 and 80?\nAnswer: 15760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1176, 3749, 8038, 14043, 21764, 31201?\n\"Answer: 858*q**2 - q + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 8*x - 7. Let a(r) = -r**2 + 9*r - 7. Let p = -18 - -25. Let j be a(p). Let v be t(j). Solve 2*z - 6*s + 2*s = -22, v = -z - 4*s + 19 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2555649 to the power of 1\/2, to the nearest integer?\nAnswer: 1599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -786*f**3 + 2389*f**3 - 812*f**3 - 793*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 201.7 - 201.6. What is the third biggest value in -17, t, 4?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98408, -98432, -98452, -98468, -98480, -98488, -98492?\nAnswer: -98492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.5, -2\/5, -488\/4405.\nAnswer: -2\/5, -2\/7, -488\/4405, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**4\/66 - 9*f**2\/11 + 6*f. Suppose n(t) = 0. Calculate t.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-4))\/((-18)\/(-12)))\/((-19)\/19)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 0*z**2 + 0*z**2 + (1 - 1 - 2*z)*(0*z - z + 3*z) + 3*z**2 - 3*z**2 + z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 6:00 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1878662907.\nAnswer: 3, 11, 4273, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**2 - 5*i - 19. Suppose -61*g = -52*g + 40 + 5. Let u(k) = -2*k**2 - 3*k - 10. What is g*u(l) + 3*v(l)?\nAnswer: -2*l**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b**2 - 57*b - 7. Calculate u(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -9\/8 (b) 1\/2 (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -9. Let d(o) be the third derivative of o**4\/24 + 2*o**3\/3 - 28*o**2. Let k(f) = f + 3. Let s(a) = l*d(a) + 7*k(a). What is s(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = 99*d - 2. Solve 2 = 5*b + 3*k - 15, 3*k - 12 = d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19052*j**3 - 19050*j**3 + 553 - 60 as k*j**3 + w*j + n + h*j**2 and give n.\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/5*116\/(-20))\/(((-4736)\/(-480))\/74)?\nAnswer: 87\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -917, -1836, -2755, -3674, -4593?\n\"Answer: -919*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 192.9 * -4\nAnswer: -771.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2474, -19799, -66826, -158405, -309386, -534619?\nAnswer: -848954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26822 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z**2. Let t be ((-1 - -2) + 0)*2. Let l(m) = -18 - m**t + 18. Determine l(a(f)).\nAnswer: -25*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -8. Let y = -9 - x. Solve -10 = -0*k + 3*k - p, y = -3*k + 2*p - 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 + 3*y**3 - 2*y**3)*(0 + 10 + 9).\nAnswer: 19*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 468*c**3 + 6*c**2 - 19*c + 13. Calculate w(1).\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 14 = i, -2*o + 6*o = -i + 18. Suppose 4*z - 12 = 2*z. Suppose -4*g - z*x + 3*x + 51 = 0, 0 = -3*g - i*x + 38. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 391 and 6868?\nAnswer: 157964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/160)\/((-6)\/10)*((-15)\/17)\/5.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 5 (c) -29.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, s: 1, a: 3, p: 6, l: 3, m: 1}. What is prob of picking 1 l and 2 p?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(272) + -1)*2 - sqrt(272)))**2.\nAnswer: 16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 760 + 109 = 54*y + 167 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, 4, -2 in decreasing order.\nAnswer: 4, 2, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -5, 1\/8, 63\/653, -622.\nAnswer: -622, -5, 63\/653, 1\/8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t. Let p(a) = 5*a - 5. Let i(o) = -6*o + 4. Let m(v) = 5*i(v) + 4*p(v). Let w(y) = 3*y. Let z(s) = -4*m(s) - 14*w(s). Give g(z(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5457444 and 3048.\nAnswer: 10914888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -105515.2452 rounded to the nearest one hundred?\nAnswer: -105500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 91*n**6\/30 - 61*n**4\/12 + 21*n - 47. Let j(h) be the first derivative of b(h). What is the third derivative of j(k) wrt k?\nAnswer: 2184*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 7*r**2 + 6*r. Let w be a(6). Suppose w = -0*c + 2*c - 10. Let s be (2\/(-4))\/((-9)\/(-6)). What is the closest to 0.1 in 1\/2, s, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 8*w = 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(560)\/sqrt(7)*2.\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 5) to base 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/6 + (-22)\/18)*-6. Let i be (2 - 2 - -3)*18\/(-297). Sort u, i, -4, 4.\nAnswer: -4, i, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152 and 27208.\nAnswer: 27208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233 (base 8) to base 14.\nAnswer: -b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 562401342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10147 - 16563 = -1703*j + 20832 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23787 + 17*k**2 - 23787 - 25*k**2.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 40 - 50. Calculate the lowest common multiple of u and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, 5\/2, -2527974 in increasing order.\nAnswer: -2527974, 5\/2, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 m when three letters picked without replacement from vvvvvmvvvvvnnnmvmnvv?\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -829 - -831. Calculate the remainder when 104 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3876 + 2435. What is the common denominator of -49\/33 and v\/(-495) - (-20)\/(-4)?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (-2 - 4 - 2). Let j be ((-8)\/(-3))\/(2\/g). Let h = 10 - j. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 82, 15, -98, -257, -462, -713?\n\"Answer: -23*a**2 + 2*a + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36538965 divided by -45.\nAnswer: -811977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -5.2. Let w = -10 - l. Let o = 7493.4 + -7493. What is the smallest value in o, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/3377 and 41\/27803762?\nAnswer: 305841382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 238562203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 17.47, 1\/5, -77 in descending order.\nAnswer: 17.47, 5, 1\/5, -1, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 9:27 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggkq when four letters picked without replacement from qqukqcggkq.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**2 - 4*u + 31. Determine c(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5153.5404 seconds in hours?\nAnswer: 1.431539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3624 and 2400.\nAnswer: 362400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 319400 and 1295167.\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/84*18\/24*48\/(-200)?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**4 - 2*j**4 - 2*j**4)*(-2*j + 4*j + 0*j) + 35*j**5 - 372426*j**3 - 178*j**4 + 372426*j**3.\nAnswer: 29*j**5 - 178*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1)\/1 + -3)*121\/(-2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7231 (base 13) in base 14?\nAnswer: -5a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 890\/(-445) - (0 - (-26)\/(-12)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - (-92)\/(-54)*-3. What is the closest to 7 in 4, j, 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/(-10) + -4 + -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49796.43 rounded to the nearest one hundred?\nAnswer: 49800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2518188 to the nearest integer?\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4547385 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001633197047 rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2970896153428 from -0.004.\nAnswer: -0.3010896153428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 1 (b) 16 (c) -3\/2 (d) 3\/4 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -349 - 2b6?\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 166, 333, 500, 667?\n\"Answer: 167*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/4 at least -162495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1307 (base 9) to base 7\nAnswer: 2566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*g - 8611 = 169*g + 2455 + 11294 for g.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5863657 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 401 - 431?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one halves of a hour?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 4*u**2 - 4*u + 4. Let d be x(5). Suppose -6 - d = 3*k. Let v(y) = y**2 + 5*y + 6. Determine v(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-117)\/(-2))\/(-3)*644\/(-138). Find the third derivative of -q*y**6 - 143 + 15*y - 7*y + 143 - 7*y**2 wrt y.\nAnswer: -10920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1501691 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 4*y - 255, 5*n + y + 76 = 331. Solve 2*l - n = -39 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73 - -72. What is the remainder when 82 is divided by 20\/80 + 167*s\/(-4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2158*t**4 + 2171*t**4)*(-t + 0 + 0)*(5 - 2 - 4).\nAnswer: 13*t**5 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 10*r**2 + r + 4. Let h be u(10). Let k(s) = 2*s**2 - 23*s - 44. Calculate the remainder when k(h) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 37.646 (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4800 and 19200?\nAnswer: 19200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104 + 105. Let t(r) = r - 1. Determine t(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2509497?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*i + 20. Suppose i*f = b - 38, -7 = -5*f - 32. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.13 (b) -2\/31 (c) 26\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500*b - 34 = -483*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -485423 = 1565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -75 - 10*d**2 + 18 + 29 + 32 + 37 as m + x*d**2 + h*d and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0066150412 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - k**2 + 23*k - 35. Give t(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7400)\/1036 - (-2)\/14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*j - 24 = -0*j, -45 = -5*v + 2*j. Let l(c) = -c**3 + 8*c**2 - 8*c + 1. Determine l(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 1)\/((-6)\/428). Let f be j\/14 + 10\/(-35). Is 18 a factor of (-656)\/(-12) - (-5)\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 148 - 78. What is the highest common factor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 13 = 2*j, 4*d + 36 = -2*j + 6*j. Let z be (-3)\/((9\/(-8))\/3). Suppose -j*y + 40 = -z. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 26*r + 47. What is m(-25)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.158. Let v = 601.0526 - 601. Let u = h - v. Round u to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -27.5. Let k = v + 5. Which is the biggest value? (a) -1 (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42051765, -84103530, -126155295, -168207060, -210258825?\nAnswer: -252310590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1220 and 215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/2 of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.0254 - -3\nAnswer: 2.9746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 112, 5, 15, 4 in ascending order.\nAnswer: -5, 4, 5, 15, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**4\/3 - 34*b**3\/3 + 106*b**2\/3 - 14*b\/3 - 52 = 0.\nAnswer: -1, 2, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1345 - -872. Let r = k - -953. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/10)\/((-4)\/(-10)). What is the nearest to 1 in d, 4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((3 - -3)\/204)\/(1*(-6)\/804). Sort 3\/2, h, -2.\nAnswer: h, -2, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59214368 is divided by 66?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - 633\/5697*(294 + -2).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 9. Let n = 10 + -3. What is m(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -9*k**3 + k**2 + 2. What are the prime factors of r(-2)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 34*c + 585. Let h(i) = -6*i - 117. What is 11*h(j) + 2*w(j)?\nAnswer: 2*j - 117","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -12735373?\nAnswer: -1\/12735373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14716495*p**2 - 17*p - 2594?\nAnswer: 29432990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p - 7. Let h be m(5). Let f(a) = -6*a**3 + a + 7 + 8*a**3 + a**2 - 3*a**h. Is 2 a factor of f(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -797\/318 - -1\/159. Which is the nearest to p? (a) -0.4 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27308 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3153?\nAnswer: 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174, 1875, 6798, 16641, 33102?\nAnswer: 57879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u**2 - 6*u**2 + 4*u**2)*(-44*u - 36*u + 54*u)*(u + 0 + 0) as a*u**2 + n*u + p*u**3 + g + x*u**4 and give x.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 226 and 16837?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*k - 122*k - 42 = 0. Suppose -120 = -2*h + 2*u, -2*h + u - 276 = -k*h. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -18. Suppose i - 3*i + v = 0. Let k be (-2)\/i - 2\/(-8). Solve -f + 5*f - 20 = k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-3*1\/(-2)). Let b(a) = 7*a - 60. Let r be (-1)\/5 + (-2944)\/(-320). Let y be b(r). Solve 5 = 5*t, -z*m - y = -5*t + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46 and 830?\nAnswer: 19090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*(sqrt(700) + -3 + 0 + sqrt(700)) + (sqrt(112)*1*-1 - sqrt(112)*-2*3))**2.\nAnswer: -2400*sqrt(7) + 45022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 6. Let c be l(-10). Let q be 10\/c*(-12)\/(-315). Sort 4, 0.5, q.\nAnswer: q, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85650821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 0.15, -0.2, -0.14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxxhccuwxuwsscx. What is prob of sequence xuw?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152 - -0.414?\nAnswer: 1152.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41.31 + -39.5. Let o = d + -16.61. Let q = o + 15. Which is smaller: 2\/15 or q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 - 89\/26) + -3 + 6 and 47\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a microsecond in nanoseconds?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177184559?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1215 - -1215.4. Which is the smallest value? (a) -0.2 (b) k (c) 0.2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -81671 + 13?\nAnswer: -81659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18441 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*t - 2*v - 2*v, t + 3*v = 23. Solve -4*i = -2*m - t, 3*i - 2*m + 6*m = 27 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*d = 37, 4*z + 0*d + 3*d = 41. Let q(o) = o**2 - 12*o + 7. Let f be q(z). Let y(l) = 6*l - 1. Let r(j) = 7*j - 1. Determine f*r(u) + 5*y(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -257 - -258. Suppose 1 = -3*f - 3*m - 2, 5*m = f + 7. Let o = f - -1. Which is the third smallest value? (a) v (b) 5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.183, 0.1 in ascending order.\nAnswer: 0.1, 0.183, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-260349)\/(-6) + (-12)\/24 + 0\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oop when three letters picked without replacement from upropropprpp?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 9*x**2 + 7*x - 5. Let t(c) be the second derivative of c**4\/12 - c**3 - 3*c**2\/2 - 49*c. Let w be t(5). Calculate m(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-751 + 2*l + 382 + 372)*(-4*l**2 - 4*l**2 - 6*l**2) in the form t + g*l**2 + h*l + a*l**3 and give a.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*(-2)\/(-1)*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + -1. Let j = y + 4. What is the nearest to 0 in j, -5, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1571, -2532, -3493, -4454?\nAnswer: -5415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 422.5.\nAnswer: 424.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108562971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 1399 + 1756. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a milligram in micrograms?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 34 + -19 - 19) + 40.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0 = -6. Let j be (0 + -1)*(0 + n). Let r(f) = 3*f**j - 3*f**2 + 2*f**2. Let t(b) = -2*b**2. Give r(t(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 8, -7 = d - 2*l - 0. Let f = 55 - 34. Suppose 5*n = d - f, 0 = 5*q - 5*n + 39499980. Round q to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 smaller than 50\/2369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 - 2*i**3 + 0*i**3 + i - i**3. Let h be b(-1). Let o(n) = -n**3 + 3*n**2 + 4*n. Let k be o(h). Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaaaaxxxaaaaaxaaaax. What is prob of sequence xxa?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*n - c, n - 5*c + 24 = 4*n. What is the second derivative of -6*u**n + 0*u**3 - 4*u - 13*u + 2*u**3 wrt u?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 171798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201572204.\nAnswer: 2, 4759, 10589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/3 + 1\/(-2). Suppose y = 6*y - 5. Which is smaller: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/2 + (5 - 0) + 18. Suppose -l - 5*a = -m, 4*l + 0*a - 31 = 5*a. Solve 20*b - l*b = -33 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26616 to the nearest one thousand.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0761 and 128.097179?\nAnswer: 128.173279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-14) + 35\/294*30. Let f(w) = -5*w - 4. Let k(c) = -16*c - 12. Let i(g) = 10*f(g) - 3*k(g). Let s(b) = -4*b - 7. What is r*s(o) - 7*i(o)?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1610*o**4 + 36*o**4 - 164*o**4 - 3141 + 483*o**4 wrt o?\nAnswer: 7860*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10*(2 + -1)*-2. Suppose -4*x + 88 = -y. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-4)*(10\/15)\/(-2)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 827957743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (51\/(5508\/108))\/(1\/(-36))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4 - 4 - 3*a. Let q(u) = -2*u**2 - u**2 - 5*u**2 + 6*u**2. Give k(q(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqquqqqqupu. Give prob of picking 1 p and 1 u.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 2. Factor -o*l**4 + 4*l**5 - 7*l**3 + 19*l**3 + 3*l**4 - 9*l**4 - 4*l**2.\nAnswer: 4*l**2*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 25*k - 13*k - 5*k - 3*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 8*n + 19. Let x(a) = -7*a - 18. Let l(d) = 6*b(d) + 7*x(d). Calculate l(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -10\/13?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 162*j**4 - 35*j**4 + 98*j**4 + (2*j**2 + j**4 - 2*j**2)*(29 + 122 - 38) as p*j**2 + z*j**4 + f*j + w*j**3 + g and give z.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 m, and 1 u when four letters picked without replacement from nruqmrannaauaar?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3080*u + 1368 + 4792 = 0. Solve 89\/3*m**3 + 9 + 87\/2*m**u + 63\/2*m + 10*m**4 + 4\/3*m**5 = 0.\nAnswer: -2, -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 a when two letters picked without replacement from {m: 1, u: 2, a: 1, w: 9}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2420399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*u + 3. Suppose 0 = 3*c - u*c - 4. Calculate the remainder when 11 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4175774*i**2*o**3 + 157*i**2*o**2 - 18*i**2*o + 3*i**2 - 3 wrt o?\nAnswer: -25054644*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 132930179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 993*o = 764*o - 5267 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -252 + 292. What is the closest to 0.2 in 5, 0.2, o, 2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 12*f + 3*f**2 + 15*f + 4*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 7*b**4\/2 + 2*b**3\/3 - 4*b**2 - 8*b + 226. Let v(t) = -9*t**3 - t**2 + 5*t + 5. Determine -5*j(s) - 8*v(s).\nAnswer: 2*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 533816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 682.9335 months in centuries?\nAnswer: 0.56911125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p - 30*p + 28*p - 3*p - 52 to h + o*p and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27528, -55062, -82594, -110124?\n\"Answer: j**2 - 27537*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from egkedekdgkvu?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.12. Let r = -6.98 - d. Let w = r + 6.9862. What is w rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000028191229 to 6 dps.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 1:49 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 3*k - 8 = 0, -f + 4*f + 3*k + 15 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 + 607*q - 2*q**3 - 304*q - 303*q.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -18\/39475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 1436 = -594. What is the remainder when k is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5788*o - 5847*o + 531 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 250404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 5\/24*y**4 - 2\/21*y**7 + 0*y + 5\/336*y**8 + 1\/4*y**6 - 12*y**2 + 0*y**3 - 1\/3*y**5 + 0. Let g(d) = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384786 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4438435273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2565)\/(-54) + -51)\/126.\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-1))**(1\/20))**49)**36)**23 assuming l is positive.\nAnswer: l**(-10143\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, 1, -452 in increasing order.\nAnswer: -452, -6, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 275 + -271. Solve -q*o + 7 = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*l**5 + 4290*l**4 + 75920*l**3 + 22470*l**2 - 40925*l + 8280 = 0.\nAnswer: -72, -23, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -0*l + 5*l. Let s(n) = 4*n - 25. Let b = -26 - -37. Calculate the remainder when l is divided by s(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44744*k + 44744*k + 408*k**2 + 14.\nAnswer: 408*k**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -609 + 1068. Suppose 7*h - 137 = 6*u - 7*u, -4*u - 103 = -3*h. Calculate the remainder when k is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u - 636 = 649 - 1260. What is the second smallest value in u, 778, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -303*g**2 - 270*g**2 + 550*g**2 + 2313 - 18*g wrt g.\nAnswer: -46*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkwwkwwwkwwkk. What is prob of picking 1 k and 1 w?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 0.954, -4, -2, -0.37?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15358.22 rounded to the nearest ten?\nAnswer: -15360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56*l**3*o**2 + 333*l**3 - 2*l**2*o**2 with respect to o.\nAnswer: 112*l**3*o - 4*l**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 11:28 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (25 + (12 - 18))) + (-2 - (5 + -3)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = c - 4*p, -3*p - 89 = -5*c - 4*p. Let o = 29 - c. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 36. Let g be ((-5)\/(-10))\/(2\/l). Which is the second smallest value? (a) g (b) 2\/3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*v - 8*z + 3*z, 3*v + 5*z + 4 = 0. Put 6, 48, v in descending order.\nAnswer: 48, 6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/2, 0.06, 4, 4\/5.\nAnswer: 0.06, 4\/5, 7\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 16*z**3 + 145*z**3 + 20.\nAnswer: 129*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmn when three letters picked without replacement from {m: 3, a: 1, d: 1, n: 5}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 22*j**3 + 2*j**2 + j - 1. What is the remainder when r(2) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 4*r**2 - 12*r + 2. Let m(j) = -2*j**3 - 5*j**2 + 11*j - 3. Calculate -2*m(h) - 3*n(h).\nAnswer: h**3 - 2*h**2 + 14*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3.4, 3\/4, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.035939 months to decades.\nAnswer: 0.008632825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + (-24)\/16)\/((585\/(-20))\/(-9)). Let j = 7 + -8. What is the nearest to -0.4 in q, 0, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**4 - q**2 + q**2)*(q + 3 - 3)*(3430 + 2269 + 5900 + 1191).\nAnswer: -25580*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l**3\/l)\/l)\/l)**(-6\/13))**(6\/11))**(-2\/3) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/42 + (23\/3 - -1). Let f(y) = -6*y**2 + 4*y - 4. Let m(x) = -13*x**2 + 9*x - 9. What is d*f(p) - 4*m(p)?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*m - 13. Let z = 1 + m. Solve 0 = 4*v + z + 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 11*z**7\/42 - 25*z**4\/6 + z**3\/6 - 45*z. Find the third derivative of x(j) wrt j.\nAnswer: 660*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -42. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**3 - 13*t**2 - 9*t - 16. Determine q(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a8613 - -5?\nAnswer: -a860b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -3. Suppose -6*t = -t + z*h - 150, -2*t + 79 = -3*h. Let l = 11723 + -11631. Calculate the remainder when l is divided by t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64*t*y**2 + 98381358*t + 15073*y**2 with respect to y.\nAnswer: -128*t*y + 30146*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o + 4*o + 5*o + 4*o.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 935 = -2*k, 5*m + 2*k + 1555 = -2*k. Let z be (-37)\/90*-8 + 70\/m. Do z and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4565118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 12 and 333.\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693543459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 7*w**2 - 5*w + 17. Calculate the remainder when 91 is divided by p(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -20*i**3 - 2*i**2 + i. Let x(m) = -19*m**3 - 2*m**2 + m. Let w(s) = 5*t(s) - 6*x(s). Determine w(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - ((-6 - ((11 - (4 + -1)) + -8)) + 5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795157?\nAnswer: 11, 72287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6267 divided by 6267\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3423911ms to microseconds.\nAnswer: 342.3911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/5608110 and -97\/42?\nAnswer: 39256770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.4757 millimeters in centimeters?\nAnswer: 6.34757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q + 1 - 1 - 66*q. Let r(u) = -3*u**2. Determine r(x(a)).\nAnswer: -11907*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 3 = h, 2*h = -256165*y + 256164*y - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -69.27 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/156193?\nAnswer: -2\/156193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.837 times -163150?\nAnswer: 136556.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (355703169 + -1))\/(-1). Let b = x + 36696841. Let f be (-3)\/((-108)\/b) - (-4)\/(-18). Round f to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*k**5 - 12*k**4\/11 + 120*k**3 + 240*k**2\/11 - 384*k - 768\/11 = 0. What is k?\nAnswer: -4, -2, -2\/11, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 7 - ((7 - 1) + -13).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*y - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j - 2*i - 30 = -35*j, -3*i = 2*j - 33. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97608 by -7.\nAnswer: 13944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321 = -6*i + 285 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -3)\/(3\/(-2)). Let h be ((-1440)\/(-5))\/4 + z. Suppose -3*b + 41 = 4*i, 4*b + i = 2 + h. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141557816 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/(-28))\/(2\/616). Calculate the greatest common divisor of 98 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u + 3311 = 17846. What is the smallest common multiple of u and 570?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*v - 91*v + 668674 + 74246. What is the thousands digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9*(1 + 4\/(-6)). Let d = -85 - -86. Let q(o) = -6*o**2 + 3*o**2 + 2*o + d + o**2. Calculate q(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -136*u - 8*u**2 - 132*u - 4 - 132*u + 402*u. Let l be a(1). Sort 0, 3, l, -5 in descending order.\nAnswer: 3, 0, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.3 and -0.1.\nAnswer: 0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -30739572.\nAnswer: -5\/30739572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-46) + (-30456)\/(-69184)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 344991394 to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 32 = -4*j, -5*j - 4*f + 54 - 8 = 0. Let x = -0.4 + 4.4. Put -0.3, x, j in decreasing order.\nAnswer: j, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.59?\nAnswer: -2.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*((sqrt(162) - ((sqrt(162) - (-3 + sqrt(162) + -3*sqrt(162) - sqrt(162))) + sqrt(162) + sqrt(162))) + -3))**2.\nAnswer: 270*sqrt(2) + 4059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130463?\nAnswer: 283, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*o - 30 = 108*o - 4*v, 29 = 2*o + 5*v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 4*r = 4, -5 = -4*k - 7410*r + 7405*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.11 - -0.11. Let s = -6 + 4. Let d be (-1)\/((-1 - s) + 0). Which is the closest to h? (a) d (b) 0.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -z + 1, 28 = -3*c - z. Let f = 16 + c. Suppose 4*a + 4*u = 28, -a - 3*a + u + 33 = 0. Are a and f equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-3)\/(-310)*-4*24\/((-600)\/125))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 12) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334608.2 decades to months.\nAnswer: 40152984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 7*n + 28. Suppose 0 = -3*l - 3, 2*o + 14 - 137 = 3*l. Let x = o - -19. What is the remainder when x is divided by n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -242 or -35957\/149?\nAnswer: -242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 11*c - 13. Let j(s) = 16*s - 20. Let h(o) = 5*j(o) - 7*l(o). Give h(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9550.000004572 - -9550. What is o rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4998)\/(-85) + 2\/10. Let o = -23 + f. What is the remainder when o is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g - 4*g + 6*g)*(9 + 34 + 435)*(-g - g + 3*g) to z*g + h + v*g**2 and give v.\nAnswer: 478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305857117.\nAnswer: 19, 53, 303731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 854872*p**2. Let j(r) = 554*r. Give l(j(q)).\nAnswer: 262373894752*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 + -47. Let c be (-2)\/6 - (-2)\/6. Suppose -5 = j - i, 4 = j - c*j + 2*i. Let n(a) = -5*a. Let o(k) = -k. What is j*n(d) + y*o(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*t, -3*t + 154 = 3*u + 25. Suppose 5*i - r - 24 - u = 0, -4*i - 3*r = -58. Solve -16 = -5*q + 4*k, -3*k + 0 - i = -4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -29*f**4\/12 + f - 14. Let c(l) = -2*l + 2. Let v(d) = 4*d - 5. Let b(w) = -5*c(w) - 2*v(w). What is n(b(i))?\nAnswer: -116*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*m - m = 0. Solve 3*t - 3*d + 12 = m, -4*t - 4*d = -6*d + 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 - 2*s**3 - s**4)*(-4 + 6 + 0)*(-10 - 3 - 1).\nAnswer: 28*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.816114621 and 0.5.\nAnswer: -1.316114621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 616 - 1159\/2. Let x be (-373)\/(-770) + (-1)\/2. Let z = -2133\/770 + x. What is the common denominator of d and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*w - 15 = -5*r, -5*r = w - 15. Suppose -4*g - 38 = -5*j, 31*j + 20 = 35*j + 2*g. Solve a - r*a = j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/4))**(-30)\/((l*l*l**(1\/6)\/l)\/(l\/l**(2\/35))) assuming l is positive.\nAnswer: l**(-2386\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 14) to base 8\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 0*t - 1\/2*t**2 + 95. Give k(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4668*z + 1017473. What is j(-218)?\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 2 - 2)*(23*j**2 - 11*j**2 + 22*j**2).\nAnswer: 34*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9725.845ml to litres.\nAnswer: 9.725845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -35*o - 247. Determine v(-10).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 a factor of 1615877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 8:19 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -1\/6*u**3 - u**2 + 1\/24*u**4 + 0*u + 1\/120*u**5 + 0. Let f(x) be the first derivative of i(x). What is f(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.02 (b) -1\/5 (c) -0.159 (d) 2 (e) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 514087.54 rounded to the nearest one hundred?\nAnswer: 514100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4029449\/19 or 212077?\nAnswer: 4029449\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 2*w + 7*w - 3 = 0, -24 = -5*h - 2*w for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**5\/i*i*i)\/i)\/i)**(8\/5)*(i**(-1\/3))**17 assuming i is positive.\nAnswer: i**(11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 405569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -1\/240*w**5 + 1\/16*w**4 + 0*w + 7\/24*w**3 + 31*w**2 + 0. Suppose f(r) = 0. Calculate r.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 2:55 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 - 69. Which is greater: k or 28\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 28 - (-2610)\/174?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 24 = -2*d, 37*x + 16 = 34*x - d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*z - 91*z - 400 = 0. Let o = z + 82. Let w be -3 + (-106)\/60*-2. Which is smaller: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -587*c*h**2*r**2 - 22*c*h**2*r - 7*c*h**2 + 2*c*h*r**2 wrt r?\nAnswer: -1174*c*h**2 + 4*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 913124?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 3*s**2 + 3*s - 4. Let t be d(3). Suppose -h + 2*h = 2*w - 1, -5*w = -5*h + t. Suppose -w*x - x + 90 = 0. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i. Let q(k) = -3*k**2 + 20*k**2 + 3*k**2 + 3*k**2. Determine t(q(g)).\nAnswer: -23*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grrr when four letters picked without replacement from {g: 1, r: 3, b: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 11*c**3 + 4*c**2 - 4. Let d(f) = -9*f**3 - 5*f**2 + 3. Give 4*d(p) + 3*x(p).\nAnswer: -3*p**3 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/27 and 101\/380856.\nAnswer: 3427704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 10*z + 1. Calculate the lowest common multiple of t(1) and (-65)\/(-7) + (-32)\/112.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3323*x**5 - 34167*x wrt x?\nAnswer: 66460*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-4)*-4*360\/(-200). Let d = -28 - -88. What is the highest common factor of d and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 5*p**2 - 3*p - 5. Let g be f(-5). Let i(y) = 3*y - 6. Is i(g) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -12186*l + 12190*l, 4*c + l = 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 440 divided by -1\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 + 23*l**2 + 63)*(1 + 2 - 4).\nAnswer: -23*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 2*o**2 - 4*o**2)*(2*o**2 + 2 - 2)*(282*o + 33907*o + 344717 - 344717).\nAnswer: 68378*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9, 4, -4, -3, 47 in descending order.\nAnswer: 47, 4, -1, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 5:14 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 144\/32167?\nAnswer: 144\/32167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, 0, 8 in decreasing order.\nAnswer: 70, 8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*h - 31*h - 73*h - 78*h. Let r(g) be the first derivative of 0*g**2 + 2\/3*g**3 - 1 + h*g. Let y(i) = 8*i. Give y(r(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 10 + 4. Let y be (0 - (-4)\/r)*-3. Let w = 3 - 4. Sort w, y, -3 in descending order.\nAnswer: y, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7*j**3 + 3*j**2 - 5*j - 10. Let n(u) = 3*u**3 + 2*u**2 - 2*u - 4. Let m(q) = -2*d(q) + 5*n(q). Suppose m(i) = 0. Calculate i.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -256567\/5 + 51338. Determine a, given that -6\/5 + 69*a**2 - g*a = 0.\nAnswer: -1\/23, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3277941?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence edpd when four letters picked without replacement from gldegegddleppl.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 3:13 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2849 - 5*g**2 + 7*g**2 + 2711 - 5560.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23909, -24373, -25737, -28451, -32965?\nAnswer: -39729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10598373?\nAnswer: 3, 31, 37987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**3\/h**0*h**(-1\/13)\/h**(1\/8)*(h**10\/((h\/(h*h\/((h*h\/(h*h\/h**7))\/h)))\/h))**31 assuming h is positive.\nAnswer: h**(19635\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 7*k - 7 = 5*k, 2*t - 1 = k. Let q(y) = -t*y**2 + 117*y + 118*y - 235*y. Let i(n) = -4*n**2. Determine q(i(z)).\nAnswer: -48*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-654)\/(-855) - 1136\/1420?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 3:58 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -14*g + 18. What is t(6)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -2*v**6\/15 + v**5\/60 + v**4\/24 + v**3\/6 + 7*v**2. Give s(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - -0.1. Let q = -0.2 + a. Let y be ((-6)\/14)\/((-12)\/(-8)). What is the closest to -1 in -5, y, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 516 + -194. Let x = -321.98945 + n. What is x rounded to four dps?\nAnswer: 0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -130*n**2 - 1792831*n\/3 - 4597\/3.\nAnswer: -(n + 4597)*(390*n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r. Let d be j(-1). Let m = 0.0429 + 0.0571. Let y = 78 - 703\/9. Which is the closest to 0? (a) d (b) y (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27593 - -27576. Which is the third biggest value? (a) -0.3 (b) 5 (c) -3 (d) h (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75011277?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - s + 29 = 10, -3*g = 6*s - 9 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4381 + 1599 = 848*k + 44 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2 + a - 2. Let z(v) = -8*v**2 + 2*v - 6. What is 11*d(m) - 4*z(m)?\nAnswer: -m**2 + 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**5\/60 - z**4\/4 + 5*z**3\/3 + 29*z**2 - z. Let l be b(-6). Solve -4*v + 15 = -n, 45 - l = 3*n + 4*v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, n: 1, l: 9, d: 3}. Give prob of picking 1 d, 1 n, and 1 l.\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 6. Let i be z\/(-3 + 5 + -3). Let r be i - (-4)\/(-2) - -6. Solve -t + r*v - 11 = 0, t - 2*t = 2*v - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 629647 and 25655.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -255 - -253. Which is the smallest value? (a) -1\/28 (b) g (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -909\/2 - -414. Find the common denominator of n and 45\/38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74 or -225529\/3062?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -336*x**2 - 80*x + 82. What is i(1)?\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5389 + 35.5389. Which is smaller: h or -1\/101?\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + -1 + 3)**2 + sqrt(2448) + 5.\nAnswer: 60*sqrt(17) + 2457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10e75 (base 16) to base 3\nAnswer: -10111222100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**4\/4 + 305*z**3\/2 - 230*z - 3. Factor l(h).\nAnswer: 3*h*(h + 305)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2. Let u(v) = 4*v**2 + 6*v**2 - v + 2*v - 5*v**2. Let d be u(-1). Let l(h) = -5*h**2 + d*h**2 - h**2. Give l(f(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1974)\/(-235))\/((-3)\/(-5)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*k**4*x**2 - 473792*k**4*x - 469*k**2 - 827*k*x**2 wrt k.\nAnswer: -216*k*x**2 - 11371008*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 509897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*q - 168, 212 = -4*q + k + 44. Let i = -834 + 806. Let n = i - q. Calculate the remainder when 39 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085 divided by -217?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -28. Suppose u = 13*v - 16*v + 12. Suppose 0*j = 3*j - v*j. Solve -6*h + 8*h = j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3065 (b) -5 (c) -0.1 (d) 3\/5 (e) 0.5 (f) 30.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -7, 2\/5, 14\/11?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 19 = -3*k - d, -13 = -2*k - 3*d. Let r = 10 - 9. Suppose -y = b + y + r, -3*y + 3 = 2*b. What is the smallest common multiple of b and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5.016667kg?\nAnswer: 0.005016667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 779 (b) -4 (c) -0.4 (d) 1\/5 (e) -2 (f) 1 (g) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -720*y**2 + 2*y - 14 + 1280*y**2 - 643*y**2 - 5*y**3 to the form x*y + d*y**3 + r + f*y**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*v - 5176*v**2 + 5028*v**2 + 7*v to the form g*v**2 + o + y*v and give g.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {w: 2, n: 3, u: 3, c: 9, i: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62037 is divided by 110?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 347913257 to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 378 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095833 >= 1096169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5, 2\/15, 1\/3, 3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**7\/210 + t**6\/80 + t**5\/40 + t**4\/4 - 3*t. Let c(s) be the third derivative of o(s). Factor c(m).\nAnswer: -3*(m - 1)*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*q + 1 - 2 - 34*q)*(-2*q**2 + q**2 + 2*q**2).\nAnswer: 8*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q. Let p(k) = 12301456*k**2. Determine x(p(r)).\nAnswer: 24602912*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1723656 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/7))**(21\/4)\/((x**10*x*x)\/x**(-3\/11)) assuming x is positive.\nAnswer: x**(-639\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-18 - -31) - (-6 + 3 - (3 - 2))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8681972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 189 and 26325?\nAnswer: 184275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*d + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**4\/12 + d**2 + d. Give m(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -12*q**4 - 8523*q**3 - 10638*q**2 - 2127*q = 0.\nAnswer: -709, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -216 - -217. Let o(w) = -5*w**2 - 6*w - 6. Let r(h) = -h**2 - h - 1. Calculate f*o(y) - 6*r(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -111301411123?\nAnswer: -111301411124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7948 divided by -2.\nAnswer: 3974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1884 - -1926. Solve j - 47 = -g, -10 = -3*s - 2*j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.072 and -0.06.\nAnswer: 0.00432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 5*r**2 - 5*r - 7. Let c be t(6). Let s(g) = -4*g - 1. Let q be s(c). Suppose -5*x = 7 + q. Sort 2, 3, x in descending order.\nAnswer: 3, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v**2 + 25*v - 26. What is the least common multiple of k(-5) and 135?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6\/11 and -235 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259587*a = 259306*a - 34844 for a.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kktsssskskkkk. Give prob of sequence tk.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-49))\/(6\/(-21)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 5*h**2\/2 + h + 9. Suppose 5*o + 3 = -2. Calculate j(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/3*4\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*b*n + 6*b + 182*n - 37 wrt n.\nAnswer: -3*b + 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in -2\/11, -0.05, -3.13?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/2, 0.4, -5\/2, 10.66?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = 2*o. Is (-424)\/o + -3 + 0 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166 divided by 497122.\nAnswer: -83\/248561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -150 + 256. Let r = a - 102. Solve 5*v = r*g - 23, 2*v + 2*g - 1 = -3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1107\/164*(-12)\/9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*r - 62 + 31*r**2 + 62 + 84*r**2 - 34*r.\nAnswer: 115*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4860 = 3*s - 7*b, 5*s + 5*b = -8100. Suppose -69*t = -41*t - 224. What is the units digit of (6\/t)\/((-15)\/s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 0*v - 80. Let p = v - -5. Suppose p = -5*y, g = 2*g - 4*y - 21. Solve -g = k - 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*67.2.\nAnswer: -33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*t - 68*t + 1977 = 3*q, -3*t + 2025 = 3*q. What is the remainder when q is divided by 40?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 451*q**2 + 3299*q + 108540. Determine x(443).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by ((-15)\/20*2)\/((-6)\/108).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 269 = 391. What is the greatest common divisor of v and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 + -0.37. Let t = 2 - -2. Suppose -z + 1 + 8 = -t*u, -5*z + 1 = 2*u. Which is the second biggest value? (a) z (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 2*w**6 + w**5\/12 - 243*w**4\/8 + 3*w**2 + 219*w. What is the second derivative of l(f) wrt f?\nAnswer: 1440*f + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 294 - 288. Put 0, a, -2, -3 in descending order.\nAnswer: a, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 393 divided by -393?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k - 158*k**6 - 588*k**2 - 339*k**6 + 9*k**3 + 573*k**2 - 9*k**3 wrt k.\nAnswer: -59640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24099\/20 - 6026\/5. Let t be -3*(1 + 2\/3). Suppose -5*u = -4*g - 19, -7*g - 3*u = -8*g + 4. Put n, g, t, 4 in descending order.\nAnswer: 4, n, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 14, n: 5}. Give prob of picking 4 z.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(-3)\/24*-4. Let m be (4\/(-6))\/(h\/9). Suppose -p = -m*p + 10. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + a106?\nAnswer: a109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 3*m + 6, -52*m + 49*m - 7 = -2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13464 and 185328.\nAnswer: 3150576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 + (-447)\/(-4))\/(7\/168)?\nAnswer: 2, 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 5*t**2 + 3*t + 10. What is k(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(363))*-2)**2.\nAnswer: -2200*sqrt(3) + 36400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, -5.088, 220, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from {r: 1, n: 3, w: 2, x: 6}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000 (base 2) in base 7?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + a**2 - a + 2. Suppose 4*g = 5*g - 1. Let y = g - 1. What is the units digit of t(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*q + 17 + 29 - 58 - 11*q to m + h*q and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y**2 + 135*y + 436. What is b(-16)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000063278 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/2*12\/(-18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4468 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -147605600 to the nearest 100000.\nAnswer: -147600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -r + 9. Is 3 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 791299 and 801?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4 = -5*f + 9, -5*c + 5 = 0. Solve 0 = f*k + 4*a - 27, 0*a - 3 = -a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 1 + (-21 - -20). Let a = 18 - l. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70.86 - 60. Let l = w - -0.14. Let a = 30 - l. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -317*j**5\/5 + 1887*j**2\/2 + 21*j + 34. Differentiate f(b) with respect to b.\nAnswer: -3804*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 762252553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/11)\/(y*y**(-3\/11)))**(3\/4))**(4\/7) assuming y is positive.\nAnswer: y**(-27\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -27*c**3 - 13*c**2 - 17. Let u(g) = -13*g**3 - 6*g**2 - 8. Give -6*b(d) + 13*u(d).\nAnswer: -7*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 5:46 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 77 = 8*j - 59. Calculate the remainder when j is divided by 15\/(-2)*(-4)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 420*f - 91*f + 13540 + 4226 for f.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*f + 90491 = -101*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 31892.17kg?\nAnswer: 31.89217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1020 or -1156?\nAnswer: -1156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w. Let n be o(3). Let q be (4\/n)\/((-2)\/(-3)). Solve 0 = -2*b + q + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96 by 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 5:20 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*x = -x - 8, 6 = 3*u - x. Suppose 153 = u*g + 19. Suppose 15 - g = -4*a. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (128*d - 246*d - 196*d)*(-2*d - 2*d + d) to the form y*d**2 + k*d + p and give y.\nAnswer: 942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from zfvlr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*u + 6*u, -4*u + 128 = 2*j. Let r = -724 + 710. Let m = -5 - r. Calculate the greatest common divisor of m and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -825, -1620, -2391, -3138, -3861?\nAnswer: -4560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 82 = 3*a, 3*a + 5*x - 107 = -a. Let z(f) = 25 - f**2 - a*f - 38 + 44. Let q be z(-29). Solve 4 = i + u, -q*u - u + 12 = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, m: 1, u: 3, c: 1}. What is prob of picking 2 f and 1 u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 5)*(-9 + 20*c + 0 + 9).\nAnswer: -60*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 7*g - 2. Suppose b + 15 = s + 3*b, -2*s = -2*b. Determine o(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o + 6*o - 2*o + (23 + 47*o - 27*o - 3)*(1 + 0 + 0) + o - 7*o + 3*o in the form q*o + d and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 7 = 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 5778 - 5602. Let n = 59 - 37. Calculate the highest common divisor of n and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 + 2.5. Let w = 42.8 - 47. Let x = w - -1.2. Which is the biggest value? (a) 5 (b) q (c) x (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -424303 - 3?\nAnswer: -424311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 200332 (base 4) to base 11\nAnswer: 1649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 1. Let r be h(-1). Calculate the remainder when (-62)\/(-4)*(r - -2) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44\/55 + (-2 - 63702\/(-10))?\nAnswer: 3, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 167566 and 143628.\nAnswer: 1005396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 7*a**2 + 27 - 9*a**2 - 28. What is h(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-13136)\/132)\/(1\/3). Let o = d - -31641\/110. Calculate the common denominator of 39\/11 and o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s - 4*s + 5 - 1 - 5*s. Let o(j) = 3*j - 4. What is -4*b(y) - 3*o(y)?\nAnswer: -y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 21. Let r be 6*(45\/(-12) + c). Factor -h**3 + r*h**5 + 1\/2 + 5\/2*h**4 - 1\/2*h - 3*h**2.\nAnswer: (h - 1)*(h + 1)**3*(3*h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 5 = -15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*g**2 - 12*g**3 - 9*g**3 - 17*g**2 to m*g**2 + z*g + p*g**3 + n and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 5 + (1 - 6\/2). Suppose l = 7*s - 6 - 8. Let d be 0 - (-10 - 2\/(-2)). Solve h = -s*x + d, -3*x - 2 + 19 = -2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14326*z**3 - 4743*z**2 wrt z.\nAnswer: -85956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.76 + -3.56. What is the nearest to 1\/3 in 1\/19, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3cc52 (base 15) in base 13?\nAnswer: -6aa99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**4*u + 7634*j**4 + 168*j**2 - 58*u wrt j?\nAnswer: -48*j*u + 183216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*v = -3581 + 409 for v.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*s**2 + 294*s - 20*s**2 - 25*s**2 in the form q*s**2 + g*s + d and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*(((n\/(n\/n**(-9))*n)\/n*n)\/n)\/n*(n*n**(2\/25)\/n*n)\/n*n**(6\/7)\/(n**(-2)*n))**(-19) assuming n is positive.\nAnswer: n**(20159\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.16 + -0.04. What is the third biggest value in -0.4, 5, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564*p + 570*p + 38 + 10 = 0 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -19.01523 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/160 and 50\/41?\nAnswer: 6560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-18)*2*(13 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i + 1. Let k(m) = -62*m + 1. Calculate -2*f(z) + k(z).\nAnswer: -66*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + 1b37762?\nAnswer: 1b3776a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8779 is divided by 4354.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -31*i**2 - 5. Let q(h) = -26*h + 20*h - 78*h**2 - 18 + 6*h + 5. What is 13*j(d) - 5*q(d)?\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -407, 83, -2 in increasing order.\nAnswer: -407, -4, -2, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 2 + -44)*(-57 + 3105\/54)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 9:32 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 420 + -419. Let m(k) = k**2 - 2*k + 3. Let q be m(3). What is the highest common divisor of q and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21b9b17 (base 12) to base 10\nAnswer: -6466051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2) - 3 - (-9)\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*t - 5*p, 19*t - 14*t - 47 = p. Let v be (-13)\/(-11) - (11 - t). Solve -10\/11*w**2 - 6\/11 + 14\/11*w + v*w**3 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x**3 - 4*x**2 - 13*x - 42. Let u(f) = -f**3 - f**2 + 7. Let b(j) = h(j) + 4*u(j). Give b(9).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 183 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 ((-10)\/(-1))\/((-14)\/(-14))*(-14)\/175?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3433374 divided by -12306?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**6\/1080 - 11*d**5\/270 - 4*d**4\/9 + 16*d**3\/3 - 341*d**2. Factor w(b).\nAnswer: -(b - 2)*(b + 12)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*u + 6*u. Let d(c) = c**3 - 7*c**2 - 6*c + 11. Let o be d(8). What is the greatest common divisor of u and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 40*z**2 + 120*z - 50. Let t be a(-38). Is t smaller than -1723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011238 to 6 dps.\nAnswer: -0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 9 (b) -1\/7 (c) 57\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -1465cb88?\nAnswer: -1465cb8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10305 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 181793 and 8453.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-4))\/(2\/15*5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134360 divided by -40.\nAnswer: 3359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -27?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 19291*n + 193498. Give b(-10).\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -636*y**2 + 1401*y**2 + 809*y + 1 + 206*y wrt y?\nAnswer: 1530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48443 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20584452\/1260 + ((-13)\/15 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 333562320 divided by -1170\nAnswer: -285096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - (1 + 0 - 0). Let j(p) = 13*p + 43. Let h(u) = -3*u - 11. Let v(g) = -9*h(g) - 2*j(g). Let i be v(-9). Put i, q, -4 in decreasing order.\nAnswer: q, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighty-seven fifths of a hour?\nAnswer: 1044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18*(-42)\/(-216))\/(2*(-3)\/12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*y**5 + 40*y**3 + 309*y**2 - 1.\nAnswer: 2100*y**2 + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543027?\nAnswer: 3, 31, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1820)\/(-156)*1\/5*(-63)\/7?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/28*-33 - -17. Let j(z) be the first derivative of -8\/3*z**3 + c*z**4 + 28 + 4*z**2 + 0*z. Factor j(w).\nAnswer: 2*w*(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/18 - 4)*(-54)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (44 - (0 + -40)) + 24\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x**3 + 51250*x**2 - 136480*x - 273120 = 0.\nAnswer: -4\/3, 4, 3414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from jfjofd?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 77 + 21. Let c = p - -17. Solve v = c*v - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2. Suppose -2*q + 9 = j, 4*j - 48 = -0*j - 2*q. Let k = 15 - j. Let g(r) = 7*r**k - 7*r**2 - 3*r**2. Calculate z(g(v)).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.163*-829855.\nAnswer: 135266.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5*u**2 - 9*u. Let c(b) = -2*b**2 - 4*b. Let d(f) = 9*c(f) - 4*n(f). Let w(x) = -22*x**2. Calculate w(d(r)).\nAnswer: -88*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1010332 + 0?\nAnswer: 1010332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53027238 is divided by 1828525?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-3 + -3 - -3). Let t(v) be the second derivative of 1\/6*v**4 + 0 - 1\/15*v**6 + v + 1\/3*v**3 - 1\/10*v**l + 0*v**2. Find m such that t(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 4. Let c be (-5)\/(2 + -2 + 1). Let a(h) = -2*h**3 - 12*h**2 + 98*h + 584. Let m be a(-6). Let y(w) = w - 3. What is c*y(l) + m*n(l)?\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8336022 - j - 16669959 + 8333937.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -24408467 + -4?\nAnswer: -24408471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 675, 674, 673, 672, 671?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1532*z**3 - 1866*z + 4147009 with respect to z.\nAnswer: 4596*z**2 - 1866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 r when two letters picked without replacement from {a: 1, d: 1, c: 1, u: 2, r: 4}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -283*j + 7078. What is the tens digit of k(-104)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(60\/48 - (1 - -1)). Solve 0 = -2*o + 7 - r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/11 and ((-8)\/14)\/(348\/(-1131)).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**5\/3 + 23*x**4\/6 + 20*x**3\/3 + x**2 + x + 31. Let h(z) be the second derivative of d(z). Factor h(k).\nAnswer: -4*(k - 5)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 30 = 5*t. Let a be (t\/(-4))\/(3\/8). Let v be (-2 - 15\/(-9)) + 1. Sort a, -3, v in increasing order.\nAnswer: -3, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83 - -86. Let d(v) = -4*v**2 + 3*v + 1. Give d(s).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 + 30 - 2*x + 2*x - 2*x**2 + 2*x - 20*x. Determine p(17).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 610554?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -213*v + 225*v - 1596. Calculate the lowest common multiple of 7 and v.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 22 - 322. Suppose -3*p - 22 + x = 0. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 911808.\nAnswer: 2, 3, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.421948 rounded to three dps?\nAnswer: 0.422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 3. Let z(i) = i**2 - 3*i + 1. Let d be ((-8)\/3)\/((-6)\/9). Let r be z(d). Give u(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870056.\nAnswer: 2, 11, 9887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2010159 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.59 + -2.88. Let w = u + -9.71. Let t = 0.7 - -0.3. Which is the third biggest value? (a) t (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 79218?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3328 and 68128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1783065929.\nAnswer: 61, 1283, 22783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + -145. Let i = 183 + k. What is the nearest to 1 in 0.3, i, -34?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 - 10*a + 3. Suppose 0 = 2*s - 3 + 13. Let m be t(s). Solve -m*n = -4 - 11 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*o**5 - 12*o**2 + 4*o**2 + 21*o**2 wrt o?\nAnswer: -1140*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22808749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w - 4. Suppose 2 = -2*c, -3*s - 4*c + 2*c = -1. Let p(o) = -s + 1 + 2 - 1. Let d(f) = -k(f) - 4*p(f). Let a(j) = -2*j. Give d(a(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q**(9\/5)\/q*q)\/q*q**20 assuming q is positive.\nAnswer: q**(109\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 24*a**2 - 24*a - 62. What is p(25)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.02 (b) 2\/39725 (c) -72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((96\/(-18))\/16)\/(-21*4\/(-324)).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -5, 35, -1418, -0.23, -12 in decreasing order.\nAnswer: 35, 0.2, -0.23, -5, -12, -1418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -7602 = -7593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 220.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 7 - 8 - 22\/(-5). Suppose 0 = -2*i + 2*y + 6, -5*y + 35 = 5*i - 0. Factor -2\/5*g**i - c*g**4 + 0 + 0*g + 0*g**3 + 0*g**2.\nAnswer: -2*g**4*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011202120022 (base 3) in base 13?\nAnswer: 18b729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 + -433412311?\nAnswer: -433412223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16465551\/25 or -658622?\nAnswer: -658622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 43*r + 111*r - 103*r - 13*r + 88*r.\nAnswer: 126*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6) - (6\/(-18) - 2). Suppose -4*w = 2*r - 26, -3*r + 9 = -n*w + 15. Solve 0 = 3*o + w*b + 3 - 12, o + 3*b - 3 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5483 (base 10) to base 7.\nAnswer: -21662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**3 - t**2 + 3. Let f(y) = -676*y + 5 - 2*y**2 + 676*y - 9*y**3. Determine -3*f(j) + 5*p(j).\nAnswer: 7*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 800 divided by -25.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.6, 4\/71, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 1266013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -692*x. Let m(l) = 1638*l. Calculate m(i(s)).\nAnswer: -1133496*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a = -18*a - 2. Suppose -2*i - y - 2 = -6*i, -5*i + 6 = -3*y. Solve 8 = 3*q - 3*m + 2*m, i = 3*q + m + a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 + -37. Suppose -3*z + 1 - 4 = 0. Is z bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 2:33 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27939849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 7*y + 8. Let n be p(-6). Suppose n*w - 4*w = -10. Solve -w*v + 4*v = 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 8*l - 34. What is h(12)?\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 97 + -78 + (0 - 28)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3835 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 3*i**2 + 4*i - 4. Let u be j(2). Solve u*w - w = 2*f + 14, -5*f + 5*w - 5 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 4*r - 4. Let u(l) = 150*l - 49*l - 52*l + 3 - l**2 - 56*l - 10. Suppose 0 = 2*q - 7 + 15. Calculate q*u(k) + 7*t(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 11, 22, 33, 44?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + 2*j**3 - 2*j**3)*(-8 - 13 + 3).\nAnswer: -36*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 1507*i**2\/2 - 1200*i + 895. What is the derivative of t(l) wrt l?\nAnswer: 1507","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 + -31. Suppose 0 = -7*k + 5*k + q. What is the remainder when 83 is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203100 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c + 2. Let g be t(2). Differentiate 7 - 18*p + 8*p + g*p with respect to p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25845 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**4\/4 + 8*c**3 - 26*c**2 - 12*c + 521. Give x(-26).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + sqrt(19) + -5 + sqrt(76)*-2) + -6*(sqrt(2736) + -2 + 3 + -5))**2.\nAnswer: -1566*sqrt(19) + 143892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -7 (b) 3835 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 22 - 14 - -15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-12))\/(1592\/41392). Factor -23\/3*a - 1\/3*a**3 + h*a**2 + 11\/3.\nAnswer: -(a - 11)*(a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*h - 35, 0 = 5*d - 0*d + 2*h - 211. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 2 - 2)*(-5*j**2 - 3*j**5 + 5*j**2).\nAnswer: -18*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 62273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3. Let j(m) = -4*m**3 - m. Suppose 3*l = 6*l - 6. Let d(f) = l*p(f) + j(f). What is the second derivative of d(c) wrt c?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*m*n**3*v**3 + m*n*v**3*x + 4*m + 2*n**3*v**2*x - 7*n**3*x - n*v**2 + 2*v**2 wrt v?\nAnswer: -24*m*n**3 + 6*m*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2471771 - -5?\nAnswer: 2471776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 4*o + 164, 4*l + 54 = 3*l - 2*o + 99 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4357 + -26225\/6. Calculate the common denominator of 35\/8 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10127 divided by -41.\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 441*f**3 + 4*f**2 + 596*f**3 - 1457*f**3 as m*f**2 + o*f + d*f**3 + a and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3065848849 to five decimal places.\nAnswer: 0.30658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/27 of a day in seconds?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428 a factor of 54235440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3425 divide 403739000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -75*a + 9. Let g(r) = r**3 - 41*r**2 - 130*r - 90. Let f be g(44). Let y(m) = 19*m - 2. Determine f*x(v) - 9*y(v).\nAnswer: -21*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -485.8 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m + 20. Let q be l(-17). Suppose -5*x + 0*x = -q. What is the lowest common multiple of x and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 20820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 66*v + 15 + 8 + (-v + v + v)*(3 - 4 + 2))*(-37*v**2 + 0*v**2 + 7*v**2).\nAnswer: -2010*v**3 + 30*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 11588.24 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-6)*(-16)\/(-42). Which is the nearest to 2\/5? (a) p (b) -1\/4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + n - 2*n**2 - 2*n - 5*n**4 + 6*n - 6*n + n**3 + 4*n**4 to the form u + t*n**2 + f*n**3 + z*n**4 + a*n and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00026559 rounded to five decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 0, 11, 26, 45, 68, 95?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 12 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 5 = -l - 9 + 22, 0 = -3*p - 13*l + 49 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-6*(sqrt(192) + -1 - sqrt(192)) + (sqrt(192) - (sqrt(192) + 0)) + -3)*-1)**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 + 7 + -4 - -3 - (-136 - -107 - -27).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**7\/3360 + l**6\/288 + l**5\/120 - 77*l**3\/6 + 92*l**2. Let o(w) be the first derivative of a(w). Factor o(u).\nAnswer: u*(u + 1)*(u + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -17. What is the third derivative of -2*s**3 - k*s**2 - 4*s**3 + 3*s**3 wrt s?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = k - 115, 42 = k - 5*v - 87. Calculate the greatest common divisor of 17 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-7) - 154464\/(-168) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a50 (base 14) in base 12?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9755\/12 - 811. Let i(w) = 2*w**2 + 2*w + 4. Let q be i(0). Calculate the common denominator of h and (q - 1266\/165)\/((-8)\/10).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1138216 is divided by 3625?\nAnswer: 3591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 16797, -2 in descending order.\nAnswer: 16797, 23, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**2\/2 + 21*w - 20. Let m(i) be the third derivative of i**3\/2 + 2*i**2. What is 3*c(l) - 21*m(l)?\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) 53\/4 (c) -0.4003 (d) 2 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -201034.4152 - 29567?\nAnswer: -230601.4152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2366)\/37856)\/((-14)\/(-32)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**3 - f**2 - f - 4. Give h(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b - 2*b - 4*b + (2*b + 2*b - 2*b)*(-1 - 1 + 0) + 2*b + b - 5*b - b + 2*b - 3*b + (3*b - 4*b + 2*b)*(1 - 1 + 2) - 3*b - b + 3*b - 2*b - 2 + 2.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 13*l**6\/40 - 22*l**5\/15 + 58*l**2 + 2*l. Find the third derivative of r(v) wrt v.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/(-7) + (1 - -1). Is u > -3\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 330 - -44. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -4 (c) 0.5 (d) -247.9 (e) -993\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*t = -4*l + 176*t + 3761, 3*l + 4*t = 2777. Solve -930*g = -l*g + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q**3 - 11*q**3 - 3*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -10*j**3 + 10*j**2 - 11*j - 89. Let h(y) = 5*y**3 - 5*y**2 + 6*y + 46. What is -11*h(w) - 6*s(w)?\nAnswer: 5*w**3 - 5*w**2 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/11 (b) -8 (c) -15 (d) 0 (e) -99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -19\/2. Suppose -3*v = -h - 33, -v + 15 = -3*h - 4. Suppose -v*t = -6*t. What is the biggest value in q, t, 2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4673814 - 4673373 = 63*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Factor -l**2\/4 + 4*l - 16.\nAnswer: -(l - 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (429\/(-55))\/13*(-7955)\/111?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**4\/6 - d. Let u(b) = 5*b - 14*b + 13*b. Give u(m(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 - 12*m**2 + 8*m**2 + 5*m**2 - 3*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 210 = -189. Sort -10, z, 4, -3 in descending order.\nAnswer: 4, z, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*x + 13376 = -108*x - 126*x + 193*x for x.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = -0. Suppose -26 = 3*y - 134. Let h be 3\/2*(-24)\/y. What is the nearest to -0.1 in h, 5, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 33. Let j(h) = h**2. Let c(b) = 8*b**2. Let r(m) = c(m) - 3*j(m). Calculate v(r(n)).\nAnswer: -25*n**4 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*q - 134 = 31*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-2) + 1)*1. Suppose 0*a + a - 15 = c. Calculate the remainder when a is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4696362243.\nAnswer: 3, 521818027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102000021112211 + -101?\nAnswer: -102000021120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10576 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.371, -3, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -98*q + 102*q - 108. Let j(v) = v**3 - 26*v**2 - 25*v + 13. Calculate the remainder when j(q) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -388 + 493. Solve 60 - j = -9*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235244?\nAnswer: 2, 23, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.245 - -0.245. Let k = -40\/69 - 2\/23. Which is the second biggest value? (a) 0.5 (b) k (c) -4 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -108 + 154. Let a = -85 + y. Let s = a + 38.9919. Round s to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 20?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3.2 (b) 2\/1115 (c) 5 (d) 2 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 47279014 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 90 divided by -30\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238753040 divided by 19009.\nAnswer: -12560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((3*(sqrt(567) + sqrt(567) + 2*sqrt(567) + sqrt(567) + sqrt(567)))\/sqrt(9))\/(5*(sqrt(81) + (sqrt(81) - (sqrt(81) - 1*sqrt(81)) - sqrt(81)))) + 3).\nAnswer: -6*sqrt(7) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -2\/5 (c) -34 (d) -61\/33 (e) 62\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -70. Suppose -35 - z = -k. Suppose -5*w - p = -k, -w = -4*w + 4*p + 62. What is the remainder when 35 is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 5*o**2 - o - 1. Let s(j) be the first derivative of -j**4\/4 + 5*j**3\/3 - j - 2. Let d(b) = 4*s(b) - 5*y(b). Does 13 divide d(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**4 + 128*j**3 + 184*j**3 - 1135*j**2 + 934*j**2 wrt j.\nAnswer: -48*j + 1872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 261437*a**3 + 321*a**2 - 296125048 wrt a?\nAnswer: 784311*a**2 + 642*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b = 27*b - 15. Suppose b*u + 26740005 = 5*u - q, -5*q + 53479975 = 4*u. Round u to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.045397 to three dps.\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-316)\/(-13))\/2 + (-18)\/117. What is the greatest common divisor of a and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -2)*(4 - 5). Solve f = -4*x + 5 + 11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -495 - -860. Solve -355 + l = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 - 100*l**2 + 315*l + 2422. Give v(46).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1241020142113 + -10?\nAnswer: 1241020142103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*s - 8, -4*s + 4 = -0*s - 2*o. Find the third derivative of 0*x**5 - 11*x**2 - 8*x**2 + 5*x**s - 7*x**5 wrt x.\nAnswer: -420*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*o - 4, -p = -o + 2*o - 8. Let z be (10 + -3 - 1) + o. Solve -3 = 4*v + z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.4 - -9.4. Sort t, -0.3, 0.1 in ascending order.\nAnswer: -0.3, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90205 = -17*v - 90494 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*u**6 + 55*u + 46*u**6 - 2*u**2 - 19*u**6 wrt u.\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19437 - 19\nAnswer: -19456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -541 (base 8) in base 11?\nAnswer: -2a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -94 (b) -0.03 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 13*z**4\/12 - 125*z**3\/6 - z**2 - 77. Let w be g(5). Solve 3*i - 3*l - 3 = -0*i, -2*l = w*i + 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17146, -17138, -17136, -17140, -17150, -17166?\n\"Answer: -3*u**2 + 17*u - 17160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 + 2*a**3 - a**3 + 2*a**2 + 5. Let p be b(-4). Suppose -5*h + 1128 = -2*c, p*h - c - 1127 = 2*c. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2876 + -2858. Solve 0 = -20*a + n*a + 12 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 15807?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -6) + -12 - -10.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42355.31 grams to nanograms.\nAnswer: 42355310000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2535 + 0.1465. Let r = 4.971 + 0.029. Which is the nearest to 0.1? (a) r (b) -4 (c) -1\/3 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 q when two letters picked without replacement from {d: 2, h: 1, q: 4}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.0929, -13.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4 + 7*q**2 - 2*q**2 + 16*q**3 + 17*q**2 - 15*q**3. Let n be z(-22). Solve 2*d = -4*i - 8, n*d + 2*i = -i - 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 0*i = 135. Suppose -i*h - 5*o = -13*h - 26, -5*o = -h - 2. What is the least common multiple of h and 251?\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/133 (b) -5\/3 (c) -5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485*q - 200*q = -297*q - 991*q + 128986 for q.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 6:51 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4831093 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10259 + 177*v**2 + 10259 - 2*v**2 + 2*v - 2*v + (6*v**2 - v**2 - 3*v**2)*(1 + 1 - 4) + 13*v + 11*v - 27*v - 3*v**2.\nAnswer: 168*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40003614 is divided by 1785.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -525 - -943. Suppose -p*a + 26 = -416*a. What is the remainder when -4 + 1 + (-159)\/(-3) is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-16) - (-1)\/4. Suppose 0 = 4*p - u*b + 104, -2*p = p + 5*b + 104. Let s = 48 + p. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21904074 and 405631.\nAnswer: 21904074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -8*h + 16. Suppose 0 = 2*a - 0*a - 6. Suppose 3*w - 3*b - 6 = 12, -h*b - 13 = -a*w. Which is bigger: -1\/9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/2*1\/(-4). Let t = -271.4 + 239. Let d = t - -32. Which is the nearest to i? (a) 2\/9 (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 19, -331, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 21. Let t be h(-14). Put -2, t, -1 in decreasing order.\nAnswer: t, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5457, -20, 1, -3, 0.2?\nAnswer: -5457","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4\/7 - 12*j**3\/7 - 30*j**2\/7 - 16*j\/7 = 0. What is j?\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 1. Let z(i) = 3*i**2 + 3*i - 3. Let w(u) = 3*k(u) - z(u). Let p(j) = -j + 4. Let s(g) = 15*g - 24. Let b(y) = 6*p(y) + s(y). Give w(b(a)).\nAnswer: -243*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttp when three letters picked without replacement from {e: 1, f: 5, p: 1, t: 4, i: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5306?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjjj when four letters picked without replacement from {j: 7, t: 3}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*i + 17 - 20*i + 8*i to the form n + k*i and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5883 by 1961.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is ba - -2?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-395)\/9480)\/(7\/6)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170\/17 + -8 + -2 + 75152.\nAnswer: 2, 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5040 + 12737. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.1879 minus 1?\nAnswer: -20.1879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 36 = -4*o, -2*n - n + 35 = o. Calculate the remainder when n is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 17*p. Let z be i(-17). Let k(c) = -c**2 + 7*c - 4. Let h be k(6). Are z and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1652, -2809, -3966, -5123, -6280, -7437?\nAnswer: -8594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 - 50.4. Let w = -0.9 - z. What is the second biggest value in 14, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m - 678. What is x(-60)?\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*g - 79 + 576 = 0. Is g at most as big as -596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**0)**(12\/7)\/(n\/n**(1\/3)*n)**(1\/11)*n**(-3)*(n*n**1\/n)\/n*(n**0)**(-1\/17) assuming n is positive.\nAnswer: n**(-332\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 8. Suppose -p = u - 2 - 3, 4*u - r = -p. Suppose -4*i + 20 = 4*n, -p*i - 3*n + 25 = -2*n. What is the remainder when 14 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (-2 - 11) - -27?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2515\/28 - 515\/7. What is the common denominator of -21\/2 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 9*q + 10. Let t be x(9). Let i be (31\/t - 3)*2. Sort 3, -2\/13, i in ascending order.\nAnswer: -2\/13, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 9. Suppose i - 4*r - 58 - 16 = 0, 0 = -5*r - 10. What is the remainder when i is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.6198406 + -573.6014156. Let v = 650.9815687 + c. Let m = -80 + v. Round m to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 3*s - 8*s - 49, -y - 23 = 3*s. Let v(u) = u**3 + 9*u**2 + 7*u. Let m be v(y). Solve 2*x - m = 6*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**3 - x - 2. Let c be o(-1). Suppose -12 = -3*s, -3*s + 19 = c*v - 1. Suppose v*r - 26 = 54. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 36*u**4 + 6*u**3 + 4*u**2 - 3. Let f(a) = 71*a**4 + 13*a**3 + 8*a**2 - 6. Let k(p) = -6*f(p) + 13*y(p). What is the third derivative of k(m) wrt m?\nAnswer: 1008*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.98 + -1.47. Let b = 0.02 + 0.98. Let y = q - b. Round y to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 272, 0, 3, -11, -5, 1 in ascending order.\nAnswer: -11, -5, 0, 1, 2, 3, 272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from raal.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/(l*l*l**(2\/55)*l))\/l)\/l)\/l*l*l**(1\/7) assuming l is positive.\nAnswer: l**(-1114\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.269158 millennia?\nAnswer: 3229.896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01600412 minus 0.84?\nAnswer: -0.82399588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 - 5866 = -5*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 0.93 in decreasing order.\nAnswer: 1, 0.93, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 326173 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10310.535118 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-275))\/((-730)\/(-803)).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -270 - -270. What is the fourth biggest value in f, -0.01, 2, 3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*q = 1567, -8 + 4 = -4*q. Suppose -7*o + x + 3900 = 0. Let j = o - 344. List the prime factors of j.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/104 - (-53)\/(-12) - (27 + -38).\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/6*3)\/(4\/(-10)*2330\/29824).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s + 4*k + 580 = 0, 3*s + k = 415. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1300680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/7))\/f*f**0 assuming f is positive.\nAnswer: f**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -3*c**5\/20 - 5892*c**2. Let n(j) = 7*j + 97. Calculate n(u(d)).\nAnswer: -63*d**2 + 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -103, 1.52, -3, -1, 0.4?\nAnswer: 1.52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (25\/15)\/(2\/6). Let n(v) be the third derivative of v**6\/120 - v**5\/30 - v**4\/6 - v**3\/3 - 7*v**2. Is n(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + 4\/(-1))*-2. Let k(r) = 15*r**o - 34*r**2 + 21*r**2. Let y(h) = -26*h. Give k(y(l)).\nAnswer: 1352*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 + 47974 + 3*p**2 - 4*p**2 - 23928 - 24046.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*o + 2*f, -65*o - 78*o + 22 = -139*o + 2*f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 171499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -249 + 461. Calculate the greatest common divisor of q and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9852912*d**3*l**2 - 116432*d**2*l**2 + 3*d**2*l - l**2 wrt d?\nAnswer: -59117472*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 4240*b**2 + 918444*b - 4698720.\nAnswer: 4*(b - 5)*(b + 312)*(b + 753)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 120.528 + 0.472. Let t = b + -120.9. Put 4\/7, t, 0.057 in decreasing order.\nAnswer: 4\/7, t, 0.057","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-957)\/(-3190))\/((-12)\/(-10)). What is the nearest to 8\/7 in -130, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5554 millilitres in litres?\nAnswer: 0.0055554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 110 + -37. Suppose -2*d - 4*n + m = -121, -4*d = n - 388. Let z = 60 + d. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h - 18 = 5*z, -3*h + 4*z - 16 = 0. Let d(x) = x**2 + 9*x + 10. Let v be d(h). Solve -o = v*o - 3*r + 18, -2*o + 12 = 4*r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35960 times 250\nAnswer: 8990000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33331310 + -1?\nAnswer: 33331303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 divided by -12696?\nAnswer: -19\/1058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22867?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-129)\/3483*6\/(-1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 28569720 to the nearest ten thousand.\nAnswer: 28570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/4 (b) -3\/4 (c) -1.24 (d) -10 (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {n: 6, h: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a - 8*a - a)*(-1 + 1 - 3)*(-2 - 1 + 1).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i + 16. Let n be a(-4). Let l be (-19)\/n + (-22)\/(-8) + -3. Let b be (-1 - (3 + -6)) + (l - -3). Solve -3*x - 9 + 3 = b for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 130 + -127. Let f = 0.37 - 0.07. What is the nearest to 2\/11 in l, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -12, -14, -6, 18?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -8*f**2 + 3*f + 1101. Let c(z) = -2*z. Give c(b(j)).\nAnswer: 32*j - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 times -0.6183?\nAnswer: -77.2875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 20\/12 + 28\/(-6). Let y be 1 + (n - -4) + 15. Suppose 3*d - 7*d + y = 0. Calculate the highest common factor of d and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 90 = 57*q. Suppose -118693 = 2*g + q*d + 101705, 0 = -5*g + d - 551001. Round g to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d**2 - 88*d - 7. Let f(n) = 6*n**2 - 84*n - 8. What is 6*f(v) - 7*m(v)?\nAnswer: v**2 + 112*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 256893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5969006?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -11. Factor -72 + 72 + w*y - y**2 - y.\nAnswer: -y*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -4. Let u(r) = r**2 - 3*r - 2. Let o be u(c). Let d be o\/(-5)*(-5)\/(-7). Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92 + -88. Let l be -1 - 32\/(-8 + y). Suppose d + 3 - 38 = 0. Calculate the greatest common factor of d and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1637337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181647*b + 181670*b + 181665*b - 545015*b.\nAnswer: -33*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 524796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14529, 29062, 43595, 58128, 72661, 87194?\nAnswer: 101727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -106 + 68. Let d = 41 + r. Is 9\/(45\/800) - d 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 g, 1 j, and 1 n when three letters picked without replacement from {n: 1, g: 1, j: 1, i: 2, y: 5}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 280.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 6:04 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (5*(-9)\/(-60))\/((-1)\/(-708))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 156*i + 136*i + 5 - 3.\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c - 12*c + 6*c.\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, a: 3, z: 3}. What is prob of sequence ztt?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4895\/7 + -701. Put -2, -0.2, n in increasing order.\nAnswer: -2, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 13) in base 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, p: 11}. Give prob of picking 1 p and 3 u.\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 12:42 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = r - 3, -3*r + x = -6*r + 1. Let g = r + 17. Let c = -10 + 18. Calculate the least common multiple of c and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 13*l**3 - 47*l**2 + 124*l - 95. Let r(y) = -15*y**3 + 48*y**2 - 123*y + 96. Let h(c) = -6*a(c) - 5*r(c). Determine j, given that h(j) = 0.\nAnswer: 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -5, 3, -15, -17 in decreasing order.\nAnswer: 6, 3, -2, -5, -15, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*m**4\/2 + 489*m**3 - 1026*m**2 - 25716*m + 5760 = 0 for m.\nAnswer: -6, 2\/9, 10, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-192)*20*36\/(-672).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 35623a28?\nAnswer: 35623a26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2. Suppose -12*h - 5 + 65 = 0. Suppose -2*i + 210 = 2*o, i + 575 = h*o - 4*i. Let p(c) = 111*c - 222*c + o*c. What is r(p(s))?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*b = 16 - 3 - 94. Let h(m) = 22*m + 26. Calculate h(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**4\/8 - 14*v**2. Let w(o) = 6*o. Let l(j) = -13*k(j) + 6*w(j). Let h(p) = p**2. What is l(h(t))?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22432 = -552*g + 551*g + 1745. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*(sqrt(75) + 0))**2.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/9 (b) 1 (c) -954 (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k**2 + 4*k**2 - k**2 + (-3 + 4 + 0)*(-2*k + 2*k - 2*k**2) + 697 - 7456*k**2 + 3731*k**2 + 3724*k**2 to the form a*k**2 + d*k + x and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 - 2*p**3 - 13*p - 4*p - 5*p**4 + 6*p**4 + 23*p - 9*p to the form y*p**3 + v*p**4 + i*p**2 + d*p + o and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 5*y + 2. Let m be o(5). Let v be (3\/18)\/((-1)\/m). Suppose 5*x + 19 = -6. Which is the third biggest value? (a) -2\/19 (b) x (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbxbbbbxbxbbxbb. Give prob of sequence xx.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/7623 and -67\/8470?\nAnswer: 76230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3914 and 6386.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6432 + 26977. What is the ten thousands digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -400 divided by 80\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oq when two letters picked without replacement from soyysq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00165636687 rounded to five dps?\nAnswer: -0.00166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4*s**5\/7 + 404*s**4\/7 - 6956*s**3\/7 - 79412*s**2\/7 + 199680*s\/7 + 271728\/7 = 0.\nAnswer: -9, -1, 3, 34, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.980224 kilograms to micrograms.\nAnswer: 980224000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, -1\/6, -0.3, -1.1 in increasing order.\nAnswer: -137, -1.1, -0.3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -2\/7, -341, 4\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 49 = 15. Suppose -93 = -5*a + v. Solve 4*d + d - n = -15, n = -5*d - a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2873.9 - 2871. Which is the nearest to m? (a) 1\/4 (b) 5 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9155141?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.029*2\nAnswer: -2.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1233)\/(-45) + 4\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 872, 1718, 2550, 3362, 4148, 4902?\n\"Answer: -r**3 - r**2 + 856*r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -3*a**5\/20 + 3*a**3\/4 - 3*a**2\/4 + 6. Suppose b(d) = 0. Calculate d.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78180921 a multiple of 1183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3965*d - 3968*d + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*o**2 + 25*o**2 + 32*o**2 + 29*o**2 + 38*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 5*r + 2. Let b(z) = z**2 - 7*z + 5. Let l be b(5). Calculate d(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 1752895*w**2 + 35056400*w + 175279500.\nAnswer: 5*(w + 10)**2*(w + 350559)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 99 and 21.54.\nAnswer: 2132.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76191\/13 + 5861. Let q = 0.2 + -0.2. What is the closest to u in q, -1\/9, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u. Let k(o) be the third derivative of -199*o**5\/30 + 1679*o**2. What is k(r(h))?\nAnswer: -6368*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -13*v. Let n(f) = -60*f - 275. Let k(o) = 6*l(o) - 3*n(o). Find the first derivative of k(s) wrt s.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(1\/(-3))\/((-28)\/6). Let g = -5.08 + 0.08. Let w = -0.27 + -0.03. Which is the second smallest value? (a) w (b) g (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5*31009168\nAnswer: -46513752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + -4 + sqrt(325) + -1) - (sqrt(91)\/(sqrt(448) - sqrt(7)) + (sqrt(13) - (sqrt(325)*-6)**2))*-6.\nAnswer: -70240 + 223*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 + 1\/2*n**3 + 1\/2*n**5 - 5*n**2 - 2*n + 2*n**4.\nAnswer: (n - 1)**2*(n + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 818 - 818.0866. Round r to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.019 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78.4 - 10.4. Let h = -67.69 + n. Round h to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/4)\/((-3)\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yttydddddt. What is prob of sequence yty?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((63\/99)\/(147\/(-42)))\/(2\/(-26)).\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32060\/154 + -3*6\/99. Let t = j - 185. Let s = 65 + 26. What is the remainder when s is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*v = -333, 2*m = 3*v + 121 + 32. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 60*l**5 - 67852*l**4 - 13602708*l**3 - 41708228*l**2 + 48237768*l + 7140960 = 0.\nAnswer: -171, -4, -2\/15, 1, 1305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 16*l - 12*l. Let u be ((-4)\/8)\/(l\/360). Calculate the greatest common factor of 24 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(1*(1 - 0)). Suppose 7*y - 23 = -2. Let c(h) = 2*h**3 - h**2 - 3*h + 2. Let p be c(2). Solve -p = -4*v, -y*v - 4 = 2*t - a*v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4543055585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -75*a - 6. Let s(z) = 50*z + 4. Let p(b) = 5*q(b) + 8*s(b). Is p(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37.211 + -0.389. Let n = 31.31 + 0.69. Let w = n + h. What is w rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -186 + 354. What is the highest common divisor of 24 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9840 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -142073, -142059, -142045?\n\"Answer: 14*v - 142087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/sqrt(160) + (2*sqrt(4840) - sqrt(40)))\/(sqrt(56)\/(sqrt(28)\/sqrt(4))*6).\nAnswer: 85*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108 - z**2 - 120 + 2*z**2 to the form o*z**2 + b*z + k and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1093, -1086, -1067, -1030, -969, -878, -751, -582?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 637084507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -28241 + 28241 - 148*g in the form x*g + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -234 + 428. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = o - 7, 0*r + 4*o + 17 = -r. Calculate the remainder when 6 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/13 (b) 1 (c) -66393 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-193)\/((-11001)\/912)*(-2)\/(-32))\/(1\/(-111))?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fc when two letters picked without replacement from {c: 2, f: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*a + v - 13, -2*a - 2*v + 10 = 0. Sort 4, a, 1, -4.\nAnswer: -4, 1, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**4\/8 - k**3 + 5*k**2. Let b be q(-4). What is the greatest common factor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/5*(2\/22 - 0).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((o**2 - 3*o**2 + o**2)*(4 + 2*o - 4) + 3 - 4*o**3 - 3)*(1 - 1 + 2*o + (2*o - 2*o + 2*o)*(5 + 0 - 2) - 2 - o + 2).\nAnswer: -42*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3817*u**2 + 12*u - 13. Let t be s(1). Suppose 4*h = -l - 3046, -2*h - 3*h + 3*l - t = 0. Round h to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24135645*f**3 - 11907332*f**2.\nAnswer: 144813870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 12:02 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 305528, 611052, 916576?\n\"Answer: 305524*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m**6\/14 - 27*m**5\/35 - 93*m**4\/28 - 51*m**3\/7 - 60*m**2\/7 - 36*m\/7 - 9. Suppose v(l) = 0. What is l?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663439 divided by -3?\nAnswer: -663439\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 289035756 by -414.\nAnswer: -698154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 50 = 3*u - 22, 4*g + 4*u - 64 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825 a factor of 77962089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/3))**(-48) assuming y is positive.\nAnswer: y**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 108929073017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pammmip. Give prob of sequence mmi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 7*p - 3*p. Let y(s) = -p*s + 0*s + 0*s. Let t(d) be the third derivative of d**5\/30 - 11*d**2. What is y(t(a))?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -470 or -467?\nAnswer: -467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6954 and 12?\nAnswer: 13908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tntttttttlttnlt. Give prob of picking 2 t and 1 n.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2))\/k**(2\/5)*(k**(-6))**43 assuming k is positive.\nAnswer: k**(-1277\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -7 + 4 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 820454295 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*p + 36513 = 10705, 51580 = -2*q - 5*p. Round q to the nearest 1000.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1227 is divided by 122.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 7:41 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*t - b + 3, -5*t + 30 = 5*b. Let a(l) = l. Let p be a(-5). Let m be (18\/15)\/((-1)\/p). Solve 3*d = -w + d, -t*d - m = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**3 + 24*f**2 + 33*f + 131. Let h be v(-11). Solve -8 = -h*q + 42 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.907143 centuries?\nAnswer: 0.0907143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -36. Suppose -4*s - 61 = 5*r, s - 4*s = -4*r + 38. Let w = s + 24. Calculate the least common multiple of g and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30717.0507 - -2.9493. Let k = q + -30744.081. Let d = 24.2 + k. Round d to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + f + 1021 = -930, -3*f = 3. Let l be -2*(0 + (-4)\/(-8) + 0). Let o be l\/2*(6 - m). Round o to the nearest 10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 58 = 4. Let s = 9 - 35. Let c = a - s. Calculate the highest common factor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -4. Suppose -y*x + 9 = -6*x. Solve -5*z = -x*z - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56348750.\nAnswer: 2, 5, 61, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 237*r - 133. Give g(-2).\nAnswer: -607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3. Suppose 0 = 3*b - t - 12, w*t = -4*b + 10 - 4. Suppose 26 = 3*d + h - 80, 0 = 3*d + b*h - 102. What is the remainder when d is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -112 - -115. Let b(z) = z**3 + 9*z**2 - z + 6. Let u be b(-9). Let n be (3\/2)\/(u\/20). Solve 4*w + r*f - f = -12, 0 = n*w - 5*f - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*t + 38, 0 = 4*u + 5*t - t - 68. Suppose 0 = -2*x + 4*x - 10. Suppose 0 = -x*c - 2*n + 67, u = c + 3*n - n. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.9 - 0.1. Let x be (-216)\/15*80\/(-48). Let g be (-4)\/x*(-7)\/(56\/(-16)). Sort r, g, -0.3, -5 in ascending order.\nAnswer: -5, r, g, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -949d - 20?\nAnswer: -94bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 13*g**2 + 2232*g - 13391. What is u(6)?\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -333 + 32?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i = 40*i - 1665. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**4 - 12394*a**3 + 4*a**2 + 2*a - 24301239?\nAnswer: -4*a**3 - 37182*a**2 + 8*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06725 and 2.\nAnswer: 1.93275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 - 17943238*k + k**2 - 408 + 17943238*k.\nAnswer: k**3 + k**2 - 408","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c - 14*c - 4 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 388293665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4 + 3*b - 4. Suppose 2*k = -p + k + 3200, 5*p + k - 15984 = 0. Let s(q) = q + 3196 - p. Determine s(r(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-11))\/((-49)\/((-12397)\/46)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 130 = -5*r - 5*z, -4*r + 164 = 2*z. What is the remainder when 58 is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75 + 84. Suppose d*t = 11*t - 8. Suppose -5*q + 12870000 = t*q. Round q to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 - 80*o - 42*o**2 + 22*o**2 + 14*o**2 to the form f*o**2 + i*o + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-5 - (6 - 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 20*l**2 - 5*l - 30.\nAnswer: -5*(l - 3)*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1700) - sqrt(17))**2 + 2*sqrt(425) + ((sqrt(459) + (sqrt(459) - sqrt(459)*2) - sqrt(459) - sqrt(459)) + sqrt(459))\/(sqrt(9)\/sqrt(3)*-4).\nAnswer: 43*sqrt(17)\/4 + 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*r = 1434*r - 90636 for r.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.65123 and -482?\nAnswer: 313.89286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 287, 595, 1069, 1745, 2659?\nAnswer: 3847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (108 - 111)\/((-6)\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 12 - 15. Suppose 25347 = 4*z - y*a, 2*z + 2*a - 12651 = -a. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61637023 is divided by 36.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 14*d + 4. Let t(s) = -266*s - 77. Let g(c) = -77*p(c) - 4*t(c). Let o(x) = -4*x**2. Calculate o(g(f)).\nAnswer: -784*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 greater than or equal to -115183\/4430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -557\/582 - -12\/97. Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 2:16 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, t: 1, c: 2}. Give prob of picking 1 t and 1 r.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -1459*b**4\/12 - 25*b**3\/6 + 3*b**2\/2 + 84*b + 6. Find the second derivative of z(n) wrt n.\nAnswer: -2918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6286446 + 6286363.00107. Let n = 83 + b. Round n to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -817?\nAnswer: -817.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-17 - 18) + 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690 is divided by 87.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**3\/5 + 100742*q**2\/5 + 1268568448*q\/5 - 1268669192\/5 = 0. What is q?\nAnswer: -25186, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.62538 rounded to 2 dps?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 l when four letters picked without replacement from rrrlrrrlrllrrl?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 6:02 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1923*15\/(-6)*(71\/(-15) + 5) is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3516*s**4 + 6*s**3 + 213*s**2 + 113893485*s wrt s.\nAnswer: 42192*s**2 + 36*s + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 28. Let h(a) = 4*a + 83. Give 2*h(n) - 7*l(n).\nAnswer: n - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32426 and 118198?\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -3*l**2\/2 - 15*l - 12. Does 9 divide h(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40093 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-2))\/(12\/(-12))*-37. Suppose -35*o = -y*o + 68. Let f = 29 + -12. What is the greatest common divisor of f and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1307 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, l: 12}. Give prob of picking 1 a and 3 l.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 10*a - 16. Suppose -7 = o - 11. Suppose 0 = -0*h + o*h + 28. Let z be b(h). What is the highest common divisor of z and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 8*o + 13*o = 10, -3*w = o - 13. Solve -p + 5*p = 5*i + 5, 0 = -w*i - 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37563067 to the power of 1\/2, to the nearest integer?\nAnswer: 6129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 566 - 126. Calculate the remainder when 158 is divided by g.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -202, -3\/14, 6.\nAnswer: -202, -3\/14, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 32249 divided by -17?\nAnswer: -1897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85980 is divided by 4333.\nAnswer: 3653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364 + 603*n + 319 - 683.\nAnswer: 603*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 3 - 13)*(w - 4*w + 2*w).\nAnswer: 26*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m = 18*m + 4*n - 56, -m - 3*n = -8*m + 58 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1787 - 1785. Solve s*r = d - 7, -3*r = -2*r + 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 - -44. Suppose v*k = 37 - 129. Let w = 77 - k. List the prime factors of w.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3979753816950 + 5.\nAnswer: 3979753816955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + q - 2406 = 4541, 6937 = c - q. What are the prime factors of c?\nAnswer: 2, 3, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -h + 100. Round h to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92106 and 1441566?\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 586 a factor of 66281288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0.03 (c) 236 (d) 4 (e) 5.5 (f) -2\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 340 and 1724905.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 + 13 = 0. Let k be ((-2)\/f)\/((-9)\/15). Let s be -2 - 0 - (-11)\/5. Put s, k, -1\/10 in increasing order.\nAnswer: -1\/10, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k - 13 - 78. Let f be (-3)\/(-28) + k\/(-91). Let y = -302\/5 + 60. What is the second smallest value in 0.11, f, y?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.99 + 1.42. Let n = -0.03 + j. Let i = 5 - 5.2. What is the second smallest value in n, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**4\/24 + j**3\/2 + 3*j**2. Let g be k(-4). Suppose -3*q = -3 - 0. Which is smaller: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**4 - 191*t**3 - 10007*t**2 + 10605*t + 20402. Let x(k) = k**4 - 2*k**3 + 2*k**2. Let p(j) = h(j) + 5*x(j). Let p(a) = 0. What is a?\nAnswer: -101, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (490\/(-70) + 3\/(-2 + 3))*-2. Put 4, -28, r in ascending order.\nAnswer: -28, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -344133411 (base 5) in base 8?\nAnswer: -5727744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 856 = 11*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 20. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1445 or -1466?\nAnswer: -1466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 240*n**2 - 1179*n - 940.\nAnswer: -(n + 1)*(n + 4)*(n + 235)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 466572311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 61. Does 22 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 25 - 19 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4689 is divided by 58.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 22703650642404.\nAnswer: 22703650642405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 14 = -2*q, -q - 117*r = -112*r + 25 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**2 + s**2 + s**2)*(-130*s**3 + 6336 - 144*s**3 - 6338).\nAnswer: 822*s**5 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**4 + 3*m**4 + 9*m**4 + (-m + 2*m**3 + m)*(1 - 1 - 2*m) - 3*m + 3*m - 7*m**4 to the form z*m + i*m**2 + j*m**3 + s*m**4 + h and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 2, r: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2\/5 + 24008*w\/5 + 2661828\/5.\nAnswer: 4*(w + 113)*(w + 5889)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 27\/2*g**2 + 3\/4*g**4 + 6*g**3 + 12*g - 33. Determine v so that p(v) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*k = -9604. Let s be k\/(-18) - 2\/(-9). Let w = s + -159. What is the highest common factor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 116699*q**2. Let b(f) = -2*f**2. Calculate b(z(d)).\nAnswer: -27237313202*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 0*d + 2*d**2 + 2*d**2 - 5*d**2 + 19*d. Let n(l) = 10*l**2 + 3*l + 22*l**2 - 34*l**2 - 3*l. Calculate n(k(c)).\nAnswer: -2*c**4 + 76*c**3 - 722*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3228476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6704437.3929049 + 6704439. Let b = a + -1.460159. Let m = -0.147 + b. What is m rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 5:22 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 295086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**3 + i**3 - 5*i**3)*(-i - 2*i + 6*i)*(-117 + 117 - 27*i + (i - 5*i + 5*i)*(-4 + 0 + 3)).\nAnswer: 84*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 53?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*c, 0 = -2*n + 4*c + 35 + 9. Let h be (-3)\/(-2) - (-1323)\/14. What is the greatest common divisor of n and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 98\/(-56) - (1 + -1). Suppose r + 2*o = -o, 10 = -4*r - 2*o. Is z at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*z - 3*h, 8*z + 9*h - 65 = 10*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2698, -5419, -8142, -10867?\n\"Answer: -a**2 - 2718*a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4\/3 + 5408*l**3\/3 - l**2\/3 - 5408*l\/3 = 0. Calculate l.\nAnswer: -5408, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqeqqzqqqzgqq. What is prob of picking 3 q?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 6 + (-310280)\/(-128) - 3\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-2*sqrt(832) + 5))**2 - (sqrt(1300) + 5*(sqrt(1300) + 0) - sqrt(1300) - (-2*-1*sqrt(1300) + sqrt(1300) + sqrt(1300)))**2)*-6*-3.\nAnswer: -11520*sqrt(13) + 218016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (81\/(-30))\/((-2)\/(-15)) and (-77)\/10 - (-15)\/(-15).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6211592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46.3539 - -46.4. Round t to three dps.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 2. Let l be o\/27 - 4\/18. Suppose l = -3*j + 14 + 4. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57\/436 + -13\/109. Which is the closest to 0? (a) 93 (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h - 10. Let r be d(-5). Suppose r = 9*n - 3*n - 636. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 51. Let w = 32.934 + a. Round w to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-6))\/(2 + (-459)\/228). Let n = t + -8. What is the lowest common multiple of n and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w**2 - 2*w - 2. Let t be 22\/2*1 + -3. Let i = t - 11. Suppose 2*m + 2*m = 8. Let u(y) = 4*y**2 - 2*y - 1. Determine i*u(k) + m*q(k).\nAnswer: -2*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -0.03, 37, -4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 303203104 (base 5) to base 7\nAnswer: 13262415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvu when three letters picked without replacement from {u: 5, y: 1, w: 1, v: 3}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -2*t - 6*n, 0 = -20*t + 23*t + 5*n - 17 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2*40.8.\nAnswer: -48.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -10 (b) 1 (c) 3\/5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 16695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 5*j - 85. Let v = -49\/3 + j. Let p = 8 - 5. Which is the closest to 1\/4? (a) p (b) v (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 872 is divided by 433?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18.81146 - 278.19162. Let q = v - -297. What is q rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 11:10 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 1\/6*i**6 + 0*i**2 - 5\/3*i**3 - 14*i - 5\/4*i**4 + 0*i**5 + 6. Let y(w) be the first derivative of g(w). Factor y(j).\nAnswer: 5*j*(j - 2)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4101 - 3224?\nAnswer: -10325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8896*u + 4942*u + 36456*u.\nAnswer: 50294*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 7*j**2 + 10*j + 4. Suppose 58*r - 3 = -3*c + 55*r, 5*c - 11 = -3*r. Calculate d(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16b3b419 + 2?\nAnswer: -16b3b417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 101c (base 14) to base 13\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, l: 4, t: 1, w: 1, d: 1}. Give prob of sequence lt.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9\/2, -1.3, -0.4, 19?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-1 - (7 + 2 + -4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32\/9 - 974\/279. Let d = 0.388208 - 0.288208. What is the smallest value in k, d, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4\/3 - 5594*y**3\/3 - 28096*y**2 + 285870*y + 1060101 = 0 for y.\nAnswer: -21, -3, 9, 5609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, v: 11, b: 4}. What is prob of picking 3 b?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 395 by -395.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -146504*z**4\/7 - 879036*z**3\/7 - 1611616*z**2\/7 - 879156*z\/7 - 72\/7 = 0?\nAnswer: -3, -2, -1, -3\/36626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f = -20 - 2. Is (-667 - -3)\/(-2) - f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2352\/13, 2, 48, -3, 1\/5 in increasing order.\nAnswer: -2352\/13, -3, 1\/5, 2, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 911.3285l?\nAnswer: 911328.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -137*c + 2 - 5 + 3 to the form j*c + u and give j.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)*-1*5*-4)\/((4*sqrt(24)*1)\/(sqrt(8)\/sqrt(2)*-6)).\nAnswer: -90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73013?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-3)\/(-36))\/(3\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*l**3*m**2 - 3*l**2*m**3*t**3 + 3*m**3*t**3 - 2*m*t**3 + 11*m wrt l.\nAnswer: -66*l**2*m**2 - 6*l*m**3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43977 is divided by 10981.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -125, -283, -505, -791?\nAnswer: -1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -1. Factor b**4 - j*b**3 + 0*b + 0*b**4 - 7*b + 8*b**2 + 3*b.\nAnswer: b*(b - 2)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 13. Suppose 0 = d - i*d. Let l = 2.5 - 1.5. What is the nearest to d in l, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*-2*5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139647 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 791 + 18*n + 0*n + 46*n**3 - 13*n - 10*n wrt n?\nAnswer: 138*n**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -2*f**2 + 10*f + 16. Let s be g(3). Calculate the remainder when -24*(-3 + (-2 - 7\/s)) is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/304 and (-10)\/(-115) + 23270\/(-460).\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04 and 605.7613921.\nAnswer: 605.8013921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 779.8911 - 780. Let g = 7 - 7.11. Let c = g - f. What is c rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 276162725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -970342.6 rounded to the nearest one thousand?\nAnswer: -970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-305)\/(-1))\/5)\/((-1251)\/1251).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-1\/2)*m))**(1\/33)\/((((m\/(m\/m**(3\/10)))\/m)\/m)\/(m*m*m*m*(m**11\/m*m)\/m*m)) assuming m is positive.\nAnswer: m**(2758\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4 = 1. Let l = -2 - m. Solve 12 = -l*p - p + 2*a, -p = -2*a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p - 24. Let k(d) = -2*d - 20. Let s be k(p). Suppose 20 = s*c - 48. Solve -2 = 5*v - c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-574)\/(-30) - (-24)\/72*-57. Solve -2\/5*v**4 + j*v**5 - 18\/5*v + 52\/15*v**2 - 4\/5*v**3 + 6\/5 = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -9*p**2 + 4*p + 6*p**2 - 8 - 2*p**2 + 6*p**2. What is the tens digit of g(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3)*l)\/l*l)\/l*(l\/(l*l**10*l*l))\/l*(l\/(l\/l**(1\/25))*l)\/l**6 assuming l is positive.\nAnswer: l**(-1322\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 p when three letters picked without replacement from pdppd?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by -1245239.\nAnswer: 48\/1245239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**5*p**2 - 7*j**5 + 7*j*p**2 + p wrt j?\nAnswer: -60*j**3*p**2 - 140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 103?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 897902 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: Collect the terms in 200360*r**3 - 4*r + 4*r - 200359*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364287?\nAnswer: 3, 7, 11, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -55585*o + 165032. Give t(3).\nAnswer: -1723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 + 3327*x + 57145. What is o(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + (sqrt(540)\/sqrt(9))\/sqrt(12) - sqrt(15)\/sqrt(27)) + 1*(-3*sqrt(5) + 1 - sqrt(5))*6)**2*-1.\nAnswer: -22769\/9 + 268*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 5*o = 23, 0 = -2*i - 16*o + 14*o - 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12\/7 + -79\/42. What is the closest to -1 in q, -0.19, 0?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1718\/(-4) + (-14)\/672*8. Let v = r + 431. Solve 0 + 1\/3*j**3 + v*j**2 + j = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14677 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 4544459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -7\/9, 2, 0.15, 1\/65, -5.\nAnswer: -5, -7\/9, 1\/65, 0.15, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2 = -6, 2*c + 3*z - 12 = 0. Let i = 1 - 5. Let h be -3 - -2 - i - 1. Solve -p = 3*s - c*s - 1, -2*p + h = s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*u + 14*u - 122 = 0. Calculate the highest common divisor of 1097 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(24)\/sqrt(4)) - (sqrt(76) + 3))**2.\nAnswer: 6*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, -13.\nAnswer: -13, -5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 12. Let q be c(8). Let t be (-5)\/q + (-258)\/(-24). Is t <= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 1 - 4\/14. Let y = -95.68 - 2.82. Let t = 98 + y. What is the closest to -0.1 in t, 2\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9b26 + -30?\nAnswer: -9b56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.5 + 0.5. Let g = -2 + y. Let r be (-5)\/1 + 0\/(-1). What is the second smallest value in -0.5, g, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2*y - 2*y**3)*(-7*y + 4*y + 11 + 2*y).\nAnswer: 2*y**4 - 22*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1344 and 54806464?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -3*o + 173, 8 = -4*o + 12. Calculate the remainder when 199 is divided by b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1352\/3 + -451. What is the nearest to h in -11, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299) + 3*-3*sqrt(2299).\nAnswer: -88*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11806 is divided by ((-8)\/10)\/(12*9\/(-4860)).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 105996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 102870*n + 14401775. Calculate y(-140).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46601 to the power of 1\/2, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2580899 - -3672899. Suppose 21*w = 27*w + m. Round w to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1 (b) 2 (c) 7 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 5*m = -30, -43*r + 46*r = -5*m + 16 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2625408)\/(-84) - ((-432)\/(-84))\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15.643704 or 2\/11?\nAnswer: 15.643704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.5, -0.87, 1, -1\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/13)\/(10\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28581 or 31075?\nAnswer: 28581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 818*b**2 - 435774310 + 435774310.\nAnswer: 818*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.05, -0.12, -3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + sqrt(50) + 0).\nAnswer: -20*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4496*w - 2246*w - 2252*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -31*w - 2106. Let s be t(-70). What is the highest common factor of s and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 3*o**5\/10 - o**4 + 7*o**3\/6 - o**2\/2 + 12. Suppose d(l) = 0. Calculate l.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d*g*p + 72946853*d*g - 15*d*p + 9*d + 2*g*p - 6*p + 197489 wrt g.\nAnswer: d*p + 72946853*d + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 11*q = 6 + 8, -3*q = 3*a - 0*q + 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2244 - -43120134?\nAnswer: 43112340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 0.3, 32\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3569 is divided by 188.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-13\/2)\/(v*v**(17\/2)))\/((v*v**(-41))\/v**(-32)) assuming v is positive.\nAnswer: v**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1795342\nAnswer: -1\/897671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykxkskskssyvvykyys. Give prob of sequence sysx.\nAnswer: 5\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mpnjzzjvznzzjznzjjn. Give prob of sequence jjjp.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -296, -298, -300, -302, -304?\nAnswer: -306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*p + 131433 = 3892*p - 15388 for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37959482 divided by 2.\nAnswer: 18979741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285*d + 88*d + 93474 = -143*d. Solve 3*c = -1722 + d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 56 = -2*d. Suppose -3*c + r + 55 = 0, -4*c + 2*r = 49 - 123. Let u be 5\/5 + c\/d. Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 63 = -13*d. Let l = -1423\/6 - -7027\/30. Find the common denominator of (-3)\/((7\/(-28))\/(d\/44)) and l.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 15) to base 6\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.364632803 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 550 a factor of 43559334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**4\/24 + 11*h**2\/2 - 8*h. Let v(a) be the first derivative of t(a). Let o(j) = 9*j**2. Calculate v(o(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = v + r, 12*r - 15*r = 4*v + 11. Let n = -0.026 - -0.021. Let i = -0.295 + n. What is the fourth biggest value in 14, 4, i, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-131)\/11790)\/((-5)\/(75\/(-9))))\/((-37)\/(-111)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5015 and 255.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1029226321?\nAnswer: 41, 25103081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -51. What is the greatest common factor of 20 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 2 - (16 + (-1 - 20)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1444?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1898292, -1898294, -1898296, -1898298?\n\"Answer: -2*h - 1898290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -230331204 + 0?\nAnswer: -230331204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7 + 1 + 6*n - 3*n - n. Let p be l(-8). Sort p, 0, -1 in decreasing order.\nAnswer: 0, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 4, -4, 1\/28, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) -0.6 (c) -13 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.7 in 100, -1\/3, -0.3, 1\/8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 0*g + g - 115*g**3 - 13*g**3. Does 21 divide s(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*(1\/5)\/(8\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -155 - 245?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.3, -5, -52, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -771 - -6?\nAnswer: -769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 5:28 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-645)\/(-10))\/((-12)\/(-80)). What is the greatest common factor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d + 133 - 5*d**2 + 2*d**4 - 252 - 3*d + 132 + d**3 in the form g*d + j*d**2 + w*d**4 + h*d**3 + i and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2281*i**3*o**2 - 1378*i**3 + i**2 - o**2 wrt o?\nAnswer: 4562*i**3*o - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -153, -155, -159, -165?\n\"Answer: -j**2 + j - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-56))\/((-1)\/(16\/(-14)))*301?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -0.02762594771768.\nAnswer: 4.97237405228232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 2*f - 15 = 0, -3*o - 12*f + 15*f + 18 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 58, 0.1, -3, -117, -1\/7 in descending order.\nAnswer: 58, 0.1, -1\/7, -1, -3, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1194?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 0.2. Let s = c + -15.8. Let d = -14.999991 - s. Round d to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**3 - 97497*z**2 + 682590*z - 1170216 = 0.\nAnswer: -32506, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -94\/3 in ascending order.\nAnswer: -94\/3, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2.7437, 99 in descending order.\nAnswer: 99, 2.7437, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 10\/5 + (44\/(-11) - -12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -715 - -389. Let y = -182 - z. Let d = 138.3 - y. What is d rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1734201 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-5))\/(5\/25). Suppose 10 = j*d - 11. Calculate the remainder when 11 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozoz when four letters picked without replacement from oozz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 16*y**3 - 90*y**2 - 626*y - 893. Determine g(-2).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 9*c**2 - 9*c - 8. Suppose 10*u - 5*u - 30 = 0. Is 23 a factor of n(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*-3 + (483 - 479) + 1\/(1\/(-41)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-3 - (3 - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = x + 9, -3*q = 2*q + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 0*t**6 - 1\/3*t**3 + 0*t**5 + 0*t**4 + 1\/210*t**7 + 0*t + 0 - 2*t**2. Differentiate j(f) wrt f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/4 - 34051*i\/2 - 4150501\/4 = 0. Calculate i.\nAnswer: -68041, -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1580023 and -4.\nAnswer: -4.1580023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 13. Let s(t) = -t**y + 15*t**2 - 4 + t - 5*t**2 + 5. What is the tens digit of s(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -166 + 226. Let n be 3\/9*d*(-1)\/(-4). Solve -w - n*x + 29 = 0, -18 = -w - w - 2*x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (348\/(-174)*(-2)\/4)\/((-15)\/165).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 12 = -3*t, -t - 10 - 7 = 4*u. Are t and -34\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (-2)\/(-18)*7. Let j = -3\/11 - 21\/44. What is the closest to 2 in t, j, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((0\/3)\/(-1))\/1. Is (r - -3)*508\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*p + 15*p + 647043 + 1124685 = 0. List the prime factors of p.\nAnswer: 7, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 103, 142?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60450 = 93*s - 62*s. What is the greatest common divisor of s and 450?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1184)\/(-1694) - (-10)\/(-35). Let x = -5000\/2541 - j. What is the common denominator of 70\/99 and x?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(28)\/sqrt(4)*-3) - (3 + (sqrt(11) + sqrt(22)\/sqrt(2))*1)) + -4*(-2 + (sqrt(88)\/(sqrt(32)\/sqrt(4)))**2)*-2.\nAnswer: -7*sqrt(11)\/3 + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 + 0.9. Let p = 0 - -4. Let u = 7 - p. Are u and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*u + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 - -74. Suppose 0 = -u - 2 + p. Let x be (-9)\/(-36) + 398\/8. What is the highest common factor of u and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 12. Let c be p(-14). Let a be (2 + 0)*(-3)\/c. Solve -3*s - 3*m + 12 = 0, -3*m = -a*s - 2*m + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -8*r - 1. Let n be p(-3). Suppose 5*z + n + 2 = -3*i, 4*i - 5*z = 25. Put -2\/17, 0.5, i in increasing order.\nAnswer: -2\/17, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6787*n + 169676. Calculate d(-25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 284*u**5 + 5*u**2 + 13090*u?\nAnswer: 5680*u**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*w - 7305869 + 7306800 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}