{"text":"Question: Suppose -4*y = 2*x - 46, 8 - 63 = -5*y - 3*x. Suppose q = -4*m - y, 2*m = 3*m + 4. Solve -3 = q*v + 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w = 3*r - 7*w - 12, -16 = -3*r + 4*w. Solve r = 6*a - 2*a + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -106, 0, 16, 9, -513, 5 in decreasing order.\nAnswer: 16, 9, 5, 0, -2, -106, -513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -w - 10. Let k be i(-15). Let r be ((-8)\/(-4) + -3)*-53. Suppose h = -g + r, -k*h = -3*h. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/2 of a day in minutes?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 56*h*j*z - 2*h*j + 267*h*z**3 - h*z + j*z**2 - 7*j*z - 3*j + 54*z**4 - 2 wrt z.\nAnswer: 1602*h*z + 2*j + 648*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/229667 (b) -3\/5 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -295 + 373. Let y = 371792.00124 - 371870. Let w = o + y. What is w rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -86*b**4 + 5*b - 137?\nAnswer: -344*b**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -68*z**2 - 19*z**2 - 234*z**2 + 3 as o + d*z**2 + x*z and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 50085 to the power of 1\/2, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 126, -72, -5, 2, -3, 20, 0 in increasing order.\nAnswer: -72, -5, -3, 0, 2, 20, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is ((-44884)\/(-916))\/(5*6\/60)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -2*x + 8. Let b be h(4). Suppose b*q - 59 = -q - l, -5*q + 2*l = -274. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10524 divided by 24.\nAnswer: 877\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = -19 + 4. Let b be (-1)\/(m\/6 - -2). Suppose b*z - 6 = 4. Solve -2 = w - z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 193487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = o**4 - o**3 + o**2 + o - 1. Let b(j) = -10*j**4 + 3*j**3 - 8*j**2 - 3*j + 3. Let l(v) = 4*b(v) + 12*y(v). Find the third derivative of l(d) wrt d.\nAnswer: -672*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 26\/6 + (-2)\/6. Suppose -11 = -o*q + 2*g + 3*g, g = 2*q - 13. What is the greatest common factor of 3 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (27\/(-90))\/((-3)\/5)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 12*v**2 - 13*v + 335. Let y(l) = -3*l**2 + 3*l - 83. Determine -3*b(g) - 13*y(g).\nAnswer: 3*g**2 + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 72991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -2*o - 1272. Let j be t(0). Let w be 22\/(-10) - (-3)\/15. What is the units digit of w\/(-8) + j\/(-32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1149*f + 122202 = -1131*f. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 17561.64 milligrams to nanograms.\nAnswer: 17561640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be 0\/(-4*20\/(-16)). Suppose c = 4*b + m - 64, -5*b - 2*m + 83 = 0. Is b less than 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/6*(-9)\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6156 and 1908684.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-2)\/(-12))\/(20\/(-180)))\/((-24)\/64)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3481, 3482, 3483, 3484, 3485, 3486?\nAnswer: 3487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*j - 136 = 2*j. Which is the third biggest value? (a) j (b) -6 (c) -0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 21 + -29. Let d = -7 - i. Let t = -0.2 + 0.1. What is the third smallest value in t, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a**4 - 211*a**3 - 1763*a**2 + 2391*a + 3942 = 0. Calculate a.\nAnswer: -9, -1, 2, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = 43 - 42.9962. What is i rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1063.8 + 1064.3. Which is the closest to y? (a) 0 (b) -2\/3 (c) 7 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/552)\/((-107)\/642)*4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 225\/553, -0.07, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 553026 and 3961842.\nAnswer: 9066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 91 + 489 = 0. Suppose -i*v + 109*v = 0. Which is smaller: v or 16\/13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 119 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) be the second derivative of -6*g**6\/5 - 3*g**5 - 7*g**4\/3 - 2*g**3\/3 - 2*g. Factor d(k).\nAnswer: -4*k*(k + 1)*(3*k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + 2*(sqrt(612) - (sqrt(612) + -3 + sqrt(612) - sqrt(612))) + 2 + sqrt(68)*-4 + 2)**2.\nAnswer: -240*sqrt(17) + 1313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*o - 576 = -9*o. Calculate the greatest common divisor of 36 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 888233465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 2*c**2 + 8*c - 21. Let k(q) = -q**2 - 29*q + 64. Let i be k(-31). Let y be w(i). What is the greatest common factor of 39 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 776580 and 540.\nAnswer: 6989220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 130469959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 3, -5, 0, 6 in ascending order.\nAnswer: -5, 0, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1302.85 + -1377. Let p = m + 80.312. Round p to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 8.868 + -0.098. Round k to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -206 = 3*w + 37. Let c = 81 + w. Suppose 2*i - 4*x - 10 = -2*x, i = -3*x - 15. Solve -3*n + 6 + i = c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -8265 to the nearest 100.\nAnswer: -8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 0*o + 9*o**3 - 8*o**3 + 3*o**2 + 0*o - 3 in the form v + x*o**2 + i*o**3 + t*o and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert d710 (base 15) to base 10.\nAnswer: 45465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 5*p - 2*p - 3*p - 2*p. Let q(y) be the second derivative of 0*y**2 + 2\/3*y**3 - 4*y + 0. What is q(s(c))?\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*m + 31*m = -612. Let i(o) = 5*o**2 + 55*o + 75. Is i(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in fourty-five quarters of a millennium?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 67221761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) be the second derivative of 0 + 0*w**2 + 1\/30*w**3 + 0*w**4 - 1\/50*w**5 + 0*w**6 - 3*w + 1\/210*w**7. Let n(a) = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1152883769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let 0*m**2 - 4*m**2 - 1444 + 1064*m - 1216*m = 0. Calculate m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 7 + 10. Suppose h = 4*a - 235. Suppose 0*w - 21 = -w - 3*n, 3*w = -5*n + a. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26*m + 173*m - 96*m + 154*m.\nAnswer: 205*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -2616*m - 7852. Give v(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**2\/z)**22*(z*z**(-1\/5)*z)\/((z**(3\/4)*z)\/z))**(-13) assuming z is positive.\nAnswer: z**(-5993\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 787*m - 91. Let x be i(9). Suppose -5*g - x = -9*g. List the prime factors of g.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -y + 6. Let h = 0 - -10. Let q be w(h). Find the common denominator of (-2)\/q + (-226)\/(-20) and 23\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.4 + -0.0052.\nAnswer: 0.3948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.03, 1, -5\/2, -146?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-9)\/10)\/(12*(-4)\/(-40)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -12.1 + 13. Let t = -0.9 + 1.1. Is j <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3\/8? (a) 5 (b) 1\/2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -200956, -401695, -602438, -803185, -1003936?\n\"Answer: -2*q**2 - 200733*q - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 69*x**2 - 38*x**2 - 11*x**3 - 31*x**2 + 24*x**3.\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -172*b - 484809 = 1214*b + 2863*b + 964*b for b.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -2116912099 take away -6670?\nAnswer: -2116905429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1 + 1. Suppose 2*j + 7*p - 26 = y*p, -5*p = 4*j - 32. Suppose j*x + 7 = 76. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 368 divide 360640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/179491, -65, 1\/8 in increasing order.\nAnswer: -65, 1\/179491, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -h**2 + 8*h - 4. Let x be c(7). Suppose 0 = 3*p - x - 21. What is the remainder when 14 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -30 + 2222?\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c + 3*q - 51 = 7, c - 5*q - 34 = 0. Calculate the remainder when 64 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -51*j + 102. Let l(y) = -103*y + 205. Let i(x) = -13*b(x) + 6*l(x). List the prime factors of i(6).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 1010049450 + 2*f - 1010049450. Let t(p) = -2*p + 2. Let o(i) = i**2 + 3*i - 3. Let b be 1\/2*(-8)\/(-2). Let j(v) = b*o(v) + 3*t(v). Calculate j(g(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = -53295 + 51369.42. Let v = -1909 - w. Let t = v + -16. Round t to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 2 e when three letters picked without replacement from {b: 4, e: 3, a: 9}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1568 = -4*z - 4*r, 4*r - 372 = -0*z + z. Let k = z + 392. What is the highest common factor of 3 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 24 divided by 347\nAnswer: 24\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-30)\/4)\/(-1)*19\/171.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -149649*x. Let n(k) = 2*k. Give p(n(m)).\nAnswer: -299298*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 6713446 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 207*o = 68*o - 738*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 42 = b, -15*q + 69 = -11*q + 3*b. Let z = 3177 + -1932. Calculate the highest common divisor of q and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from {l: 6, n: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*f - 45*f + 130 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2628?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 s when two letters picked without replacement from {y: 1, s: 1, k: 1, r: 1, g: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) be the second derivative of -3*y**5\/20 + y**4 + y**3\/2 - 6*y**2 + 10*y. Solve q(p) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2590 + 2592. Let u(q) = 6*q - 1. Let w be u(2). Solve 4*a + 3*y = w, -4*a + i*a - 5*y = 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = n**3 + n**2 - 2*n - 4. Does 13 divide u(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 0*z**2 + 1891 + 153*z - 1891 - z**2 - 118*z**3 wrt z.\nAnswer: -708*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1336 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -9, -3, -14, -1 in descending order.\nAnswer: -1, -3, -9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: ((-594)\/(-4))\/(-11)*(-5698)\/8547\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -19078.933 + 19079. What is the nearest to l in -0.3, 0.7, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 2*q**2. Let y(b) = 26077669*b. What is y(x(t))?\nAnswer: 52155338*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -91\/14202 and 179\/330.\nAnswer: 781110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x**3 - 7*x**2 + 7*x - 6. Let r be k(6). Suppose r = -3*s + 1 + 2. Which is bigger: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 62 + -59. Suppose -144 = -2*y + h*o, -117 - 175 = -4*y + 4*o. Calculate the remainder when y is divided by 37\/2*2 + 2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/(t*t**0))**(-6\/13)\/(t*t**(-1\/7)*t**(2\/13)) assuming t is positive.\nAnswer: t**(-92\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.64 + 0.04. Let a = s + 0.9. Sort 1, a, -0.5, 1\/6 in descending order.\nAnswer: 1, a, 1\/6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1776308111.\nAnswer: 179, 9923509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 3*j**2. Let u = -138 + 140. Let d(s) = 51*s**2 - 25*s**u - 23*s**2. Give m(d(g)).\nAnswer: 27*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 506 (base 11) to base 16\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 13, 1.2866, -19?\nAnswer: 1.2866","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10011 - -1111000101101100001101110?\nAnswer: 1111000101101100010000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 6*p - 2. Let c(m) = 2 - 7*m - 1 + 4*m. What is 9*c(b) + 4*l(b)?\nAnswer: -3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -5, -0.1, 0.9, 2\/5 in decreasing order.\nAnswer: 2, 0.9, 2\/5, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2499)\/(-918)*(-6)\/(-14)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 668148 divided by 10\nAnswer: 334074\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f**(1\/6)*f)\/f)**(-1\/9))**(-14)\/(((f**(-5)*f)\/((f*f**(-1\/3)*f*f)\/f))\/((f**(-6)*f*f)\/(f**0*f))) assuming f is positive.\nAnswer: f**(25\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -f + 5*i = 54, 5*i - 46 + 16 = -5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-42*d - 118 + 118)*(-1 + 1 + 2*d).\nAnswer: -84*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 13*x + 3*x = -59*x. Let o(m) be the second derivative of 13*m + 0*m**4 + x - 4*m**2 - 11\/20*m**5 + 0*m**3. What is the derivative of o(j) wrt j?\nAnswer: -33*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = i**2 + 40*i + 265. Calculate s(-12).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2397*w - 4628*w = -2291*w + 3480 for w.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*i**2 - i**2 - 10*i**2 + (1 - 5 + 3)*(4*i**2 - 2*i**2 - i**2))*((-5*i + 2*i + 5*i)*(0*i**2 - i**2 + 2*i**2) + 3*i**3 + 2*i**3 - i**3).\nAnswer: -60*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -1075*k - 8. Is a(-2) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) be the second derivative of -c**2\/2 + 402*c - 8. Suppose 2 + 0 = 2*h. Let k(j) = j - 3. What is h*k(b) - 6*t(b)?\nAnswer: b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from otfttytotffgtyg. Give prob of sequence ofo.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -10*u**2 + u + 2. Let k be h(-2). Let i be 9\/6*k\/(-12). What is the highest common divisor of i and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 138 or 136?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 415521360?\nAnswer: 2, 3, 5, 47, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 36.29396km in nanometers?\nAnswer: 36293960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -17\/300 and 127\/1560.\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 3152 (base 6) to base 5\nAnswer: 10331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in eleven tenths of a microsecond?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 21 - 11. Let o be (f\/(-6))\/(1\/(-3)). Suppose 5*w - 4*k = -o*k + 31, 0 = -3*w - 2*k + 20. Solve 2*l - 2*b - 2 = 0, -5*l + w*b - 2*b + 2 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11559123923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 10, -1, 595, 19, 5, 0 in increasing order.\nAnswer: -1, 0, 5, 10, 19, 595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 617 minutes after 5:57 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1.72921 + 77.\nAnswer: 78.72921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand 13 - 13 + w**3 + (-1 + 1 - w**2)*(0 - w + 7*w + 1) + 3*w**3 + 2*w**3 - 4*w**3.\nAnswer: -4*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 300*p**2 - 48*p + 11. Let o(l) = 60*l**2 - 9*l + 2. Let z(v) = -16*o(v) + 3*r(v). Let w(f) = 8*f. Calculate z(w(m)).\nAnswer: -3840*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 5*a + 30 = 0, -18 = -4*d - a - 56. Let f be -5*(42\/d - -3). Solve -h = 2*h + f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/((-21)\/15 - -1). Suppose p = 7 + w. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2410 is divided by 47?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -1178 (base 11) in base 3?\nAnswer: -2002221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by -881.\nAnswer: -2\/881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = -20 - -61\/3. Which is the nearest to -1? (a) q (b) 0.1 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3648.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 86 divide 606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1792407877.\nAnswer: 13, 137877529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1809\/(-9)*(-2)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 48 divide 26112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 22132320 (base 4) to base 3.\nAnswer: 2011220020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 0.05 times 31236829\nAnswer: 1561841.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -4*q - 3*q + 6*q + (-12*q - 894 + q + 896)*(6 - 2 + 5) as d + t*q and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2259*b**3 - 4*b + 31.\nAnswer: -13554*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from eejjjsvjeeves?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -515017, -515020, -515023?\n\"Answer: -3*s - 515014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 25397?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 36906 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -37*j**4 + 1.\nAnswer: -148*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 337323673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(((-189)\/3)\/(-9))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 3, -2\/27, -7, -1\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pbp when three letters picked without replacement from {p: 3, b: 4, m: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34 - 159 = -5*k. Solve c - k = -4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-23))**(-42)*(r**41*r)\/((((r\/((r**(1\/8)\/r*r)\/r))\/r)\/r*r)\/r))**32 assuming r is positive.\nAnswer: r**32260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(147) + (sqrt(147) - (sqrt(147)*-4 + 5)**2) - (2 + sqrt(147)*-4).\nAnswer: -2379 + 322*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t + 3*i = -39, -t + 42*i - 47*i = 58 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5900? (a) 0.17 (b) 11 (c) -0.8 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-p - 3*p + 2*p)*(-262 - 20 - 102 + 305 - 362).\nAnswer: 882*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 2*o + 45 = -3*w, 25 = -5*w + 5*o. Let l(b) = -b**2 - 11*b + 1. What are the prime factors of l(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 2*v**3 + 7*v**2 - v + 21. Let d(f) = 2*f**3 + f**2 - 2. Let a(j) = 2*d(j) - g(j). Is a(18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5262389 to the power of 1\/2, to the nearest integer?\nAnswer: 2294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 867396 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 2699 = 5*m, -5*m - 3*d = -m + 2184. Let b = -150 + 986. Let i = m + b. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j - i + 13 = -j, 4*i = -j - 3. Suppose 20 = j*f - 0*f. Let w = 14 - 1. Solve -u = 3, f*p - w = 8*p - u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3\/5, 2\/1043, 5, -0.015?\nAnswer: 2\/1043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -13, -56, -127, -226?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 3 + 2)*(0 - 1 + 0 - 3 + 5 - 1 + (-1 + 1 - 1)*(-2 - 1 + 1) - 5 + 18 - 12)*(4*q - 2*q - 3*q) as v + z*q and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = -20825 - -101218. Let a be (43052\/(-12))\/((-2)\/66). Let h = y - a. Round h to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1935?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 2294.603um in millimeters?\nAnswer: 2.294603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 128214 and 2142.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b = -4*b + 8. Suppose -l + 408 = b*l - 5*n, 4*l = -2*n + 518. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14582*b - 114151*b - 789*b.\nAnswer: -100358*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -10625, -21244, -31863, -42482?\n\"Answer: -10619*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -195949 times 11?\nAnswer: -2155439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ljjlfujjf. Give prob of picking 1 l, 1 u, and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = u**3 - 3*u**2 - 14*u - 4. Let d(s) = 2*s**3 - 7*s**2 - 27*s - 8. Let p(y) = -6*d(y) + 11*j(y). Calculate p(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (2 - 3)*-99 + 1. Suppose 2*c - x = -2*c. Let z be 40\/(-3)*c*-348. What is z rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -c**5 + 2*c**3 - 263*c**2.\nAnswer: -60*c**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 77563904?\nAnswer: 2, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*y**5\/4 + 74769*y**4\/4 + 1310295*y**3\/2.\nAnswer: -3*y**3*(y - 24958)*(y + 35)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 77*r + 100. What is x(0)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -c**2 - 3*c - 2. Let l(v) = 3*v**2 - 11*v - 4. Let g(b) = 5*b**2 - 17*b - 6. Let n(t) = 5*g(t) - 8*l(t). Calculate -3*d(p) - 4*n(p).\nAnswer: -p**2 - 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 8381941?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 119\/9672 and -37\/4464.\nAnswer: 58032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 5704206?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 60575, 60534, 60495, 60458, 60423, 60390?\nAnswer: 60359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 + 7 = 2*f. Suppose f = 3*i - 0*i. Suppose 4*r - 5*u = -11, -3*r = -u - u + i. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 15369347.7 minutes?\nAnswer: 1524.736875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -298 or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -f + 16. Give y(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000409 to 5 dps.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the third derivative of -y**6\/120 + y**4\/6 + y**2. Suppose -4*r - 32 = -20. List the prime factors of w(r).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -41*y + y - 925 = -3*y for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 81\/20791634 and 91\/16.\nAnswer: 166333072","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 132161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 685*j - 98*j**2 - 684*j - 21*j**2 + (-j + 0*j + 2*j)*((2 - 4 + 0)*(0*j - j + 3*j) - 2*j + 3*j + 0*j) to the form y*j + f + x*j**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jjld when four letters picked without replacement from {j: 2, w: 2, l: 4, d: 1}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = r - 5. Let u = 13 - 8. Let b be z(u). Is b + 126 - (-2 + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 100 and 2257510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 3202925639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -165*c - 15040 = -541*c. Suppose 52 = 5*o - 2*q - 2*q, -17 = -4*o - 5*q. What is the least common multiple of o and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (sqrt(27) + 5)*3)**2 - (-1*sqrt(33)*-2)\/(sqrt(11) + (sqrt(44) + sqrt(176)\/sqrt(4))\/sqrt(4)).\nAnswer: 862*sqrt(3)\/3 + 499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 75*s**3 + 1722*s**2 + 13152*s + 33408 = 0. What is s?\nAnswer: -8, -174\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert a12 (base 13) to base 6.\nAnswer: 11521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1687.931 - 1688. Put 4, p, -0.4 in ascending order.\nAnswer: -0.4, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -216 by 6.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5\/5*2\/(-7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange b**3 - 5 + 107*b**2 - b + 21 + 0*b + 14 - 2*b**4 to the form w*b**2 + j*b + r + o*b**4 + x*b**3 and give w.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a**2 - a. Let x(j) = 6*j**2 - 9*j. Let t(i) = 5*v(i) - x(i). What is the smallest common multiple of 1 and t(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -c**4 + 1. Let i = 57 + -56. Let o(z) = 10*z**4 - 2*z**3 + 4*z**2 - 8*z - 6. Let g(y) = i*o(y) + 6*l(y). What is the third derivative of g(u) wrt u?\nAnswer: 96*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 354*a**3 - 25*a**2 - 9*a + 18. Let b(g) = -89*g**3 + 6*g**2 + 2*g - 4. Calculate 9*b(m) + 2*h(m).\nAnswer: -93*m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -31.62924232 to 1 decimal place.\nAnswer: -31.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w**2 - 22*w + 238. Let p be x(-30). What is the third smallest value in p, -3\/13, 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -5 - 176?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 2275428349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.06 + -0.12. Let i = f + -0.02. Let n = -0.08 - i. Which is the closest to 1? (a) 5\/4 (b) n (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*b**4 + 32540*b**3 - 12075558*b**2 = 0. Calculate b.\nAnswer: -16633, 0, 363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u be 8\/36*-3*6\/76. Which is the fourth biggest value? (a) u (b) -0.2 (c) 0 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 57aaa (base 11) in base 13?\nAnswer: 2c222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 68 - 59. Let w be (-1664)\/(-117) - 2\/s. Are 13 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) be the second derivative of -z**6\/5 - 2*z**4\/3 + 8*z. Find the third derivative of s(v) wrt v.\nAnswer: -144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 99 = 2*q + 2*q, -5*w - q = -400. Let m = -76 + w. Let p(j) = 32*j + 6. Let f be p(m). What is the greatest common divisor of f and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = -5*y - 55, 4*g - 95 = -0*g + 5*y. Let w = -27.3 + 27.5. Sort g, w, -3, 5 in decreasing order.\nAnswer: g, 5, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 4*f = y + 577, 384 = -2*y + 2*f. Let v = 225 + y. What is the greatest common factor of 374 and v?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -22*g**2 + 354*g + 43. Let a be p(16). Solve -19*u - a - 39 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -4649*d**3*j**2 + 13*d**3 + 25*d**2*j**3 + 631 wrt j?\nAnswer: -9298*d**3*j + 75*d**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + -3*(sqrt(637)*-2 - sqrt(637) - sqrt(637))**2 - (5 + sqrt(637)*2*-2)**2.\nAnswer: -40789 + 280*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*f + 2*f. Let h(w) = 2*w - 16*w - 2 + f. Let b be h(-2). Round b to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*t + 8*t = 6*t - 55384. List the prime factors of t.\nAnswer: 2, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 998166 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 86 a factor of 35445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) be the third derivative of k**6\/40 - 4*k**5\/5 - 99*k**4\/8 - 63*k**3 + 63*k**2 + 2*k - 15. Factor x(o).\nAnswer: 3*(o - 21)*(o + 2)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = n + 91. Let w(h) = -h + 5*h - 2*h - 4*h. Calculate w(q(v)).\nAnswer: -2*v - 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -979416 + -11976.\nAnswer: -991392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 47*h - 542. Determine k(12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + (-7 - -4) - (-1 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p*p*p**(-2\/5))**(20\/3))**27)**33 assuming p is positive.\nAnswer: p**9504","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(2\/9))**(2\/17)\/(l*l**(-4))**(1\/63) assuming l is positive.\nAnswer: l**(79\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1.061 and 0.3652.\nAnswer: -0.3874772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -25? (a) 0.6 (b) 12\/7 (c) -4 (d) -15 (e) -5 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -589*n**2 - 645*n**2 - 584*n**2 + 3108*n**2 - 623*n**2 - 589*n**2.\nAnswer: 78*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -q**2 + 26*q - 3. Is w(24) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 2*h**2 - 8*h - 10. Let l = -11 + 21. Let o be v(l). Suppose -3*q + 3*f + 141 = 0, 2*q = -4*f + 8 + o. Does 25 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -156\/343 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 0.3515549 seconds?\nAnswer: 351.5549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-i**2 + 4*i**2 - i**2)*(2*i - 2*i - 4*i)*(4 - 4 + 3).\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert -9 (base 10) to base 12.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-5920)\/(-15)*(-12)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 147*x + 237. Let m(o) = 7*o. What is w(m(p))?\nAnswer: 1029*p + 237","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t be 24*((-231)\/(-1071) + (-2)\/(-17)). Solve p + 2*o = 3, t + 7 = p + 5*o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 263.0688l in millilitres?\nAnswer: 263068.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -151 + 76 + 72 + 50 + 65 + 2*r**2.\nAnswer: 2*r**2 + 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8\/(-12)*(-24)\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((w\/((w\/(w*w\/((w\/(w**(-7)\/w))\/w)))\/w))\/(w\/(w**(-6)*w)))**(-8))**(-27))**10 assuming w is positive.\nAnswer: w**(-23760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 2 - 3)*(0*i + 3*i - i)*(3*i - 3*i - 2*i**3) to the form v + j*i**3 + h*i + w*i**4 + m*i**2 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 5*y = 2*y + 27, y = 2*b + 11. Let a be (13 + -10)\/(b\/(-8)). Suppose a*m - 101 - 45 = -2*f, 0 = -5*f + 5*m + 290. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one quarters of a year in months?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of 9.6 and 0.5.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*s + q + 13, -4*q - q - 29 = -s. Suppose s*j + 16 = 8*j. Solve -5*m + 30 - 7 = -z, j*z + 2*m - 18 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0014129 to 5 decimal places.\nAnswer: 0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 8336 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 986 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 2.37 * 6195\nAnswer: 14682.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate d**2*j*p - 13*d*j*p**2 + 916*d*p - j*p**2 - 3*j*p - 41*j + 22*p**2 with respect to d.\nAnswer: 2*d*j*p - 13*j*p**2 + 916*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 52950?\nAnswer: 2, 3, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 474.5423 decades in centuries?\nAnswer: 47.45423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply -31.4175 and -0.2.\nAnswer: 6.2835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = z**3 - 5*z**2 - 6*z. Let y be i(6). Suppose 2*r + y*r = 50. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + sqrt(684) + 3)**2.\nAnswer: -24*sqrt(19) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 59\/26672 and 99\/76682.\nAnswer: 613456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 1901.24225 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4 + -194c564?\nAnswer: -194c568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z + 4*k - 735 + 707 = 0, -3*z = -2*k - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 59 - 57. Solve f*g - 6*g - 12 = 0, -2*g = 2*q - 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that -2*c**4\/13 - 81320*c**3\/13 - 81316*c**2\/13 + 81320*c\/13 + 81318\/13 = 0.\nAnswer: -40659, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 19 = 4*r, -2*c - 6 = -5*c + 5*r. Suppose -i + 3*u + 40 = -c, 5*u = -2*i + 50. What is the remainder when 101 is divided by i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 10002220001112 (base 3) to base 14\nAnswer: 30da8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 5*p = 0, -q = -3*p + 2*p + 4. Let i = 18 + -23. Let h = i + 3. Sort h, 2\/9, q in ascending order.\nAnswer: q, h, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1.557 + 17.427. Let l = u - -0.13. Let n = 12 - l. What is the smallest value in 1, n, 1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1)\/(-1) + (-86)\/92. Let l = 1811\/92 + f. Let t = l - 20. What is the closest to t in -1\/3, 0.1, -2\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20\/6*(201\/(-5025))\/((-2)\/6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -d*x**4 - 35*d*x**3 + 4*d*x**2 + d - 96*x wrt x?\nAnswer: -12*d*x**2 - 210*d*x + 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-l + 4*l - 4*l)*(-85*l + 127*l - 72*l - 3).\nAnswer: 30*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from flooofswwlwslfffsol. Give prob of sequence lsos.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*q + 0*q - 5*q + (-5 - 16 + 2)*(5*q + q + 9*q) to the form g + y*q and give y.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = -88*h + 87*h - 145, 160 = 2*a - 4*h. Solve 5*m + a = -30*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 11*k**2 - k - 2. Let u be p(1). What are the prime factors of 213 + (6\/15)\/(u\/20)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + (26 + -18 - (2 + 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -39419\/3 + 24995\/2. Let u = -642 - l. Factor -1\/3 + u*f + 19\/6*f**3 + 7\/6*f**4 + 5\/2*f**2.\nAnswer: (f + 1)**3*(7*f - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -13\/50 and 89\/80.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ghs when three letters picked without replacement from ugghhgugxusg.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 8146277 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 32040, 63983, 95926, 127869, 159812?\n\"Answer: 31943*s + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3 - -95d1?\nAnswer: 95d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -31 at least as big as -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y = 25, -y = -t - 14043 + 98687. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -177, -173, -169, -165, -161, -157?\n\"Answer: 4*z - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -12 (base 7) to base 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(98) + 0)**2 + -6*sqrt(8)\/sqrt(4).\nAnswer: -6*sqrt(2) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 14762141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a + 3 = 3*n, -5601*n - 24 = -2*a - 5604*n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -d + 1 + 8*d - d. Let c be b(2). Suppose 0 = -i + 3*n + c, -4*i - 5*n + 69 = -0*i. What is the smallest common multiple of 16 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*o + 57 = 5*k + 21*o - 36*o, k + 9*o = 4*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -2.1*-161.353\nAnswer: 338.8413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 9*-45*(-18)\/486?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -89*u + 273. Is j(-26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 28 (b) -2 (c) 21\/2 (d) 13\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 81 + -76. Suppose -20 = -8*n + 12. Solve u = -5*h + 4*v, -v - 1 = n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - (6 - 1 - 0)) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 384097 is divided by 12284?\nAnswer: 3293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = n**3 - 4*n**2 - 18*n - 31. Suppose -201 = -16*w - 57. List the prime factors of z(w).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 137 + -42. What are the prime factors of y?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 434\/(-22) + 9\/(-33)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Let m be 1 + (-1 + (-2)\/(-4))*2. Suppose 0 = 3*a + 3*p - 879, 2*a - 3*a + 5*p + 311 = m. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 347113560*n**4 - 923056108*n wrt n?\nAnswer: 4165362720*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*x - 4*x + 2*q + 32, 2*q + 39 = 5*x. Let b = 10 - x. Suppose 6*n**3 + 0*n**b - 9*n**4 + 3*n**2 + 0*n**3 = 0. Calculate n.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-16 - (10 - 357))\/((-1)\/(-11)).\nAnswer: 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*g + g + 2120000. Suppose 17*f = 21*f - g. Round f to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/36)\/((-1)\/(-3))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1577 is divided by 132.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-8 - -11) + (3 - 2) + 0. Let q be (-3)\/g + 219\/4. Calculate the greatest common factor of 198 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -13*w**2 + 2. Let z(v) = -1436099*v. Give z(q(m)).\nAnswer: 18669287*m**2 - 2872198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5, 1\/790, 134?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76 = 3*x - 0*v + 5*v, 0 = -4*x + 4*v + 48. Suppose -x*b + 3*b + 14252 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the first derivative of x**4\/4 + 7*x**3\/3 + x**2 + 2. Suppose 0 = 5*t + 11 + 19. What is the units digit of b(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) be the second derivative of -w**6\/180 + w**5\/60 - 13*w**4\/6 - w**2 + 9*w. Let q(k) be the third derivative of t(k). Calculate q(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3628 - 3625. Let c be (-141)\/(-4) + 1\/(-4). Suppose -4*f + 115 = c. Solve 4*w - f = 2*t, -5*w - 10 + 35 = n*t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -34258 + 1?\nAnswer: -34257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1501 + 6007 - 4*f - 1474 - 1498 - 1479.\nAnswer: -4*f + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of g**4 + 7*g + 18?\nAnswer: 4*g**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o be 7\/35*5\/2. Find s, given that -o*s**3 + 0 + 0*s + 1\/2*s**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x**4 - 116*x**3 + 1763*x**2 - 7984*x + 6336 = 0. Calculate x.\nAnswer: 1, 8, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11 - ((-19 - -27) + -9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:21 AM and 5:57 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) be the second derivative of -v**4\/12 - 2*v + 26. Let b(p) = 186*p. What is c(b(f))?\nAnswer: -34596*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, -43, -3\/2, 0.2, -3, 2.3 in ascending order.\nAnswer: -43, -3, -3\/2, 0.2, 0.4, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -168 = 4*n - 7*u - 143, 0 = 3*n + 2*u - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 28559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 286 minutes before 2:20 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 377910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2850*w**2 + 3062*w**2 + 9492*w**2 + 22870*w**2.\nAnswer: 38274*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15263 = 146*f - 124*f - 13535. What is the remainder when f is divided by 167?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = q**2 - 3*q - 4. Suppose 2*j = 4*j - 16. What is the least common multiple of u(5) and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = -4*n + 414 - 431, -48 = -4*p - n. Solve -3*r + p*r = 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) be the third derivative of -o**5\/30 + o**2 - 136*o. Let j(w) be the third derivative of -29*w**5\/60 + 22*w**2. Calculate j(p(i)).\nAnswer: -116*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (-7)\/2*(-168)\/(-588)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 21087344 divided by 5271836?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 189215 divided by -355.\nAnswer: -533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-32)\/1452)\/(-2))\/((-43)\/(3483\/54))?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -85 divided by -5.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -789678 - 2?\nAnswer: -78967a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n**3\/5 - 954*n**2\/5 + 5458848*n\/5 + 900191960 = 0 for n.\nAnswer: -1126, 1775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 12, f: 3}. Give prob of sequence ff.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert -18421658 (base 9) to base 13.\nAnswer: -1c01342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -208a04 (base 13) in base 16?\nAnswer: -ba000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 8 by -269.\nAnswer: -8\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -1661758050.3 minus 82?\nAnswer: -1661758132.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of ((-5)\/10)\/((-1)\/44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1792752 and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 772933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*z**5 - 2*z**5 + 0*z**5 + (-2 + 2 - 2*z**5)*(-2 - 4 + 4) + 6*z**5 - 5*z**5 + z**5 + 261172 - 234*z**5 - 261172.\nAnswer: -226*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 78\/7 of a week in days?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = z**2 + 5*z - 2. Let y be b(-4). Let m(x) be the third derivative of -x**5\/60 - 5*x**4\/24 + 4*x**3\/3 - 2*x**2. What is m(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1952905 is divided by 1324?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*g**3 + 12*g**5 - 7*g**5 + 3*g**5 - g**5 - g**5 + 0*g**5 + (-4*g**2 + 4*g**2 + 2*g**2)*(-6*g**3 - 2*g**3 - 3*g**3).\nAnswer: -16*g**5 - 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -i - 3. Let p(u) = -u**2 - 4*u - 8. Let k be p(-2). Calculate o(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3772.\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1021 - 1434. Let i = f + 411. Which is the second biggest value? (a) 2 (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 1\/4 (c) -4\/15 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 + 32 = 5*b. Suppose -48 = -6*t + b*t. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28399451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - (-22 + 16)*(-1)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is sixty-four fifths of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be 6\/(-8) - 906\/8. Let l = 203 + s. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.319, -73, 1\/5, 0.1, -34, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (4*(4 + sqrt(176)) + 3)*5.\nAnswer: 90 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -y**2 - 11*y + 4. Let c be k(-8). Let g(f) = 4*f**2 - c*f + 3*f**2 + 3*f**2 - 9*f**2. Let b(z) = z. Give g(b(q)).\nAnswer: q**2 - 28*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.31016 and -3?\nAnswer: 0.93048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2008, 1976, 1944, 1912, 1880, 1848?\nAnswer: 1816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 4355 + -11?\nAnswer: 4344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 10 + (-14 - -5) + -11\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 3.09, 4\/15, 0.3, -467.\nAnswer: -467, 4\/15, 0.3, 3.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*51\/(-270) + (-15)\/(-25)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*i**5 + 4*i - 4*i + (-2*i - 8*i**3 + 2*i)*(-3*i**2 + 6*i - 6*i).\nAnswer: 21*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = -11 + 10.86. Let s = h - -0.1399924. Round s to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(144) + sqrt(144))\/sqrt(12) - sqrt(12) - (sqrt(3) - (2*sqrt(3) + -1)**2 - sqrt(12)\/(sqrt(4) + sqrt(12)\/sqrt(3))).\nAnswer: -17*sqrt(3)\/2 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 121849 - 121844. Suppose 4*r = 2*b - 14, 4*r = -5*b + 10 - 31. Let s = 4 + b. Solve 4*u - o = -s*o + 14, -l*o = 5*u - 25 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -11*o + 44. Let v be s(4). Solve 0 = -12*r - v*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000004146348 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 120 + 0*(-2)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + -1 - (-35 + 32 + -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -107, 0, 155780 in increasing order.\nAnswer: -107, 0, 155780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 7*x**2. Let u(n) = 170*n + 2. Calculate u(q(r)).\nAnswer: 1190*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ej when two letters picked without replacement from vjgjvjkjgvjevfffg?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 283.2476 to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -849 + -2.\nAnswer: -851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -27*w**3 - 138*w**3 + 41*w**3 + 4*w**3 + 2*w**2 + 26*w.\nAnswer: -120*w**3 + 2*w**2 + 26*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 196801126 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the third derivative of 0*h**4 - 1\/30*h**6 + 12*h**2 + 0 + 0*h**3 + 0*h - 1\/15*h**5. Let g(l) = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.3 * 0.36.\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) be the second derivative of s**5\/4 + s**4\/6 - s**3\/6 - s**2\/2 - 37*s. Let v be g(1). Solve 4*z + 11 = -3*r, 1 + v = -4*z + 2*r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 209 = 5*p + 199 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 706430*r - 2119239. Determine s(3).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/(-3))\/(3\/(63\/(-28)))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 10000101110101010011 (base 2) in base 4?\nAnswer: 2011311103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -111013133 - 10?\nAnswer: -111013143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 0.06 times 0.8814\nAnswer: 0.052884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2784293 and 25112.\nAnswer: 3139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 289 minutes before 5:02 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x be -8*(2 - 11\/4). Let j(k) = k. Let g(r) = r**2 - 4*r + 5. Let h(l) = x*j(l) + g(l). Calculate the remainder when 37 is divided by h(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = -1, 2*b - 23 = -2*c + 7*b. Solve 7*i = -2*i - c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.763 to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-10*72\/(-600)*(-15)\/4)\/(-15)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -151d0 + 1a4?\nAnswer: -1502b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 466696, 933573, 1400450, 1867327?\nAnswer: 2334204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -52*b*f**3 - 187*f**3 wrt b?\nAnswer: -52*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = y**2 + 3*y - 2. Let l be f(-3). Suppose -5*m = 2*a + 56, -17*m + 5*a - 49 = -16*m. Sort m, 0.5, l, 0 in ascending order.\nAnswer: m, l, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -11*k + 68. Let d be i(6). Suppose y - 239 = -4*u, 1239 = y + 4*y - d*u. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l - 1. Let j(i) = 3*i + 5. Suppose n + 43 = 44. What is n*j(a) + 6*o(a)?\nAnswer: -3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2830 is divided by 566?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -684 - 693 + 8*o**2 - 18*o + 1401 - o**3 - 3*o. Let a(b) = -2 + 3 - 2. Let g(f) = -6*a(f) - m(f). What is z in g(z) = 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 29 + -27. What is the third derivative of 13*h**2 + 3*h**6 + h**6 - 7*h**r wrt h?\nAnswer: 480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-h + 2*h + 5*h)*(4 - 2 - 1) to q + v*h and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xoioixqixqioi. What is prob of sequence qxx?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 73775641?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-13*k + 12*k + 249 - 212)*(5*k - 6 + 6)*(-5*k + 3*k + k).\nAnswer: 5*k**3 - 185*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = 5*t - 4*v, -4*t + 14 - 1 = v. Sort t, -3, -5 in ascending order.\nAnswer: -5, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 111624497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -13\/102 or 1?\nAnswer: -13\/102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 28176951?\nAnswer: 3, 11, 29, 29443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1760297750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -84 times 0.98?\nAnswer: -82.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 9, p: 7}. What is prob of sequence iip?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = -13 - 6. Let g = o + 16. What is the third biggest value in g, 5, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from mhmhhhhhmmmmm. Give prob of picking 4 m.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 3850354097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = y**2 - 10*y - 8. Let q be d(8). Let x = q - -27. Let j = 2 + 0. Calculate the highest common divisor of j and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 10 + -5. Suppose 3*r + 3 = 3*x, 2*x - 2 = r - t*r. Solve -4*w + r*v - 12 = 4*v, 0 = -w + 2*v + 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 3710 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2869974509 - 0.\nAnswer: 2869974509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1347458337?\nAnswer: 3, 149717593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -0.2, 1\/9, 2\/14311, -2\/7, 12, -0.5, 5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 165 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -12 + 12 + 168*m - 12*m**3 + 11*m**3 + 622*m to the form w*m + t*m**3 + l + k*m**2 and give w.\nAnswer: 790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) be the first derivative of 0*x**2 - 15*x - 58 + 0*x**4 - 3\/5*x**5 - 6*x**3. What is the derivative of n(r) wrt r?\nAnswer: -12*r**3 - 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -58, -131, -228, -373, -590, -903, -1336, -1913?\nAnswer: -2658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-9)\/(-3) + (-497)\/(-14) and -10\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -379*r + 3022*r**2 - 6045*r**2 + 3016*r**2.\nAnswer: -7*r**2 - 379*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = 8620 - 8360. Calculate the lowest common multiple of k and 4.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 2.892151 minutes?\nAnswer: 173.52906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 160 minutes after 11:02 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3889\/196 + -9\/98. Calculate the common denominator of -85\/134 and j.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.07518 - 133.24482. What is v rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = t + 2*r - 1906, -2 = -r. Suppose 3*u = 179 + t. Is 52 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 492244?\nAnswer: 2, 109, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5136.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-4\/3)*b\/(b**2\/b)*b)\/(b**(-4\/3)\/(b\/b**(-3)*b*b)) assuming b is positive.\nAnswer: b**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*l + 3*q + 120089, 3*q = -4*l + 58443 + 181690. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 199288 and 3016?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 116523420 + -5?\nAnswer: 116523412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 0 = 5*f + 5, 0 = -f - 3*i + 17. Let z(g) = 2*g + 6. Let j be z(-7). Let w be (j\/(-10))\/(f\/10). Put w, -3, 0 in increasing order.\nAnswer: -3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1c + -1?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 53*w**3*x**2 + 2*w**3 + 7*w**2*z - 154*w*x**2*z + 48*w*x*z - 4*w*x wrt x?\nAnswer: 106*w**3 - 308*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 10 - 14. What is the third biggest value in -1, m, 1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -j**2 - 139*j + 1435. Let g be n(-149). Let r(o) = o**2 + 49*o - 336. Determine r(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 5*j = 922, j = -g - 0*g + 318. Let b = 295 - g. Which is greater: b or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*s = 5*u - 20, 0 = -u + s + s - 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 45\/143 and 45\/319.\nAnswer: 4147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 140382 and 6039.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = q**3 - 103*q**2 - 107*q + 1034. What is w(104)?\nAnswer: 722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -258 (base 9) to base 3.\nAnswer: -21222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -d**3 + 11*d**2 + 14*d - 8. Let n be h(12). Suppose a + f + n = 6, 2*f = 2*a + 4. Is 10 a factor of (-236)\/a - (-2)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4 + -5. Let r(x) be the second derivative of -x**3\/6 - x**2 + 2*x + 193. What is r(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 divided by -42896.\nAnswer: -1\/10724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 467631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -8*y. Let h(i) = 4*i + 3. Let r(g) = 9*g + 5. Let c(f) = 1. Let p(v) = -2*c(v) - r(v). Let z(o) = -7*h(o) - 3*p(o). Determine l(z(u)).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 187 = -6*u + 223 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*t + 4*g - 14, 3*g = -5 + 20. Let x be t\/4*(3 - 4). Which is the fourth smallest value? (a) 5 (b) x (c) 0.3 (d) -0.56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find i, given that 2*i**5 + 50*i**4 + 268*i**3 - 788*i**2 - 2574*i + 3042 = 0.\nAnswer: -13, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.48 + -0.08. Round b to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 174 - 344 + 170 - 40*k**3 + 46*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) be the third derivative of y**5\/15 + 116*y**4\/3 + 26912*y**3\/3 + 87*y**2 - y. Factor n(t).\nAnswer: 4*(t + 116)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 27.9 - 28. Suppose 2*n = 4*u - 6*u + 58, 0 = -5*u + 2*n + 138. Let h be 4\/(-2)*(-2)\/u. What is the third smallest value in 3, h, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -25\/92183 and -38\/5438797.\nAnswer: 5438797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -g + 23 = -3*z, 991*g = z + 996*g - 19 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.97 - -0.36. Round z to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 1, 9, 33, 85, 177, 321, 529?\n\"Answer: 2*o**3 - 4*o**2 + 6*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 97710, 195421, 293132, 390843, 488554?\n\"Answer: 97711*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.03 + 0.23. Suppose 4*q + 3 = g, 172*q - 169*q = 2*g - 6. What is the closest to q in 4\/15, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -58388, -57348, -56308, -55268, -54228?\n\"Answer: 1040*p - 59428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-195)\/(-468)*-4)\/((21\/108)\/(-7))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13844721 is divided by 80.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) -80 (b) -2\/19 (c) 0.4 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v = 14 - 4. Suppose -4*h + 8 = 4*q, -v = 2*h - 0. What is the smallest common multiple of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 777?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3258897?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3038 - 7027. Is p bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 722 and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5b - -c?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = 2*n - 14, n + c + 12 = 2*n. Suppose 0 = v + 2*w - 0*w - 46, -2*w - 104 = -2*v. Calculate the greatest common divisor of n and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = 6 - 21. What is the remainder when 74 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 5257 = -5*b, v + 3*b - 5233 = -0*b. Let o = 9393 - v. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 175164*f + 15246 = 175406*f for f.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*f - 3*h - 24, 0*f = f + 5*h + 17. Let y(x) = -5*x**3 - x + 2. Let p = -48 - -44. Let s(o) = -6*o**3 - o + 3. Determine f*s(k) + p*y(k).\nAnswer: 2*k**3 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -8627391 divided by -2875797\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -r**3 + 4*r**2 - 6*r + 15. Let f be w(4). Let l = -116.2 - -115.7. What is the fourth biggest value in 0.4, f, 1\/5, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = a**3 - 3*a**2 + 3*a - 7. Let d be m(3). Suppose q - 8 = -d*n, 3*n + 2 = -5*q - 0*q. Solve -s = -n*s + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express h**3 - h**4 + 46*h + 52*h + 4*h**4 - 100*h + 28 in the form f*h + d*h**3 + v*h**4 + y + p*h**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:59 PM and 4:30 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3 - -8. Suppose -2*y + 20 = 3*y. Let r = y - m. Is -2\/7 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00040288 rounded to five decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 4.2, 8, 4, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 513828636*w + 361538879?\nAnswer: 513828636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -645 + 919. Let d = 268 - x. Let l(q) = -2*q**3 + q. Let g be l(1). Is g equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*b - 18*b = 20, 2*y - 20 = -4*b for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -13 bigger than -86100\/6793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4 - -3. Calculate the remainder when 1\/((-6)\/(-5) + v) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 6*z - 2. Let l = -51 + 40. Let s(c) = -2*c + 1. Calculate l*s(x) - 4*i(x).\nAnswer: -2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = j. Let k be r(2). Let z = -5 - -7. Find l, given that 0*l - k*l**z - 2*l + 3*l + 3*l**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 8\/(96\/52)*(1 + 2). Let g be -11 - (6 - b) - 10\/(-3). What is the closest to g in -1\/4, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25 - (19 + -22 + 9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20\/(-9) + 10\/45.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 34020 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m - 177 = -9*m. Suppose 0 = -2*z + 2*g - 4, 5*z + 3*g = -13 - 29. Let r = m + z. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4*w**3 + 11 - w + 621*w**2 - 621*w**2 in the form j*w**2 + p + r*w**3 + h*w and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 34187 - 21586. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i*i**(-2\/9)\/i*i))**11*((((i**(-2\/5)\/i)\/i*i)\/i*i)\/i)**(2\/25) assuming i is positive.\nAnswer: i**(2534\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 66638 is divided by 818?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6929, 6260, 5577, 4874, 4145?\nAnswer: 3384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence llll when four letters picked without replacement from {l: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = 44 - 14. Let s = 48 - p. What is the remainder when s is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4047706402 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7244 - 7247 + 0*s - s + 21735 - 7244.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j + 2 - 2)*(-27 - 26 + 16) - j - 4*j + 3*j + 2*j + 2*j - 3*j.\nAnswer: 36*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 17484, 34938, 52392, 69846, 87300, 104754?\nAnswer: 122208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 5875783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-280746)\/(-99) - 18\/(-99)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*k - 2280 = 2333. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 1.1 and -966.\nAnswer: -964.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 56154.4 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 14083*d - 1718115. Give b(122).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Product of 450 and -1059.7.\nAnswer: -476865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 58.7833673 to 2 decimal places.\nAnswer: 58.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 38 - 23. Let t = y + -9. Let m be 1*3 - (t - 5). Solve m*j - 4 = -0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*c + 1225 = -28*c. Suppose -7*f = -2*f - c. Calculate the greatest common factor of 7 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-937 - 3) + -2)\/((-13)\/78)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the first derivative of -a**3\/3 - 3*a**2\/2 + 3*a + 3. Let h be b(-3). Solve 2*n - h = 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) be the third derivative of 1\/30*a**5 + 0*a**4 + 0*a**3 + 1\/60*a**6 + 0*a - 5*a**2 + 0. Factor f(m).\nAnswer: 2*m**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5362 or -5346?\nAnswer: -5362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = 1 - 5. Let k be 1\/2*-2 + u. Let j = k + 0. Solve 0*c - 3*c + z = -7, j*z + 3 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(24)\/(1*sqrt(48) + sqrt(12)) - (-6*sqrt(50) + -1).\nAnswer: 1 + 91*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 8, 65, 3, 4, 0, -3 in descending order.\nAnswer: 65, 8, 4, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 96 minutes after 4:06 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -6*g**2 + 161*g - 21. Is r(19) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -3*c + 48. Let d be z(18). Let a(q) = 10*q**3 - 6*q - 1. Let i(p) = -21*p**3 + 13*p + 2. Give d*i(t) - 13*a(t).\nAnswer: -4*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1\/2, -0.992, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(1053) - sqrt(1053)*-1))**2 + -5 + (sqrt(1053) + sqrt(1053)*-2 + -5 - (-1 + sqrt(1053) + (sqrt(1053) + -1)**2)) + -2.\nAnswer: 15783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1 + 6 - 12\/4. Let m be (-462)\/(-90) - 4\/30. Solve 3*t - u*b = -22, b = -m*t + 2*t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 31910.22*0.4\nAnswer: 12764.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 7, h: 3}. What is prob of picking 1 z and 3 h?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1358.87 - -1349. Let j = a - 0.13. What is the closest to -1 in 5, -0.4, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 3*u + 19 + 8 = 0, 5*u = 5. Calculate the highest common factor of k and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -8*q**4 - 23*q**2 - 286?\nAnswer: -32*q**3 - 46*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2 - 4. Let j(x) = -4*x**3 + 2 + 6 + 7*x + 5*x**3 - 9*x**2 - 3. Let m be j(8). Which is smaller: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 168 a factor of 156240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 31355055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f be (6\/9)\/(2\/9). Suppose 2*g + 5 = f*g. Suppose 5*h - 5 = g*q, 3*q - 3 - 2 = h. Solve 2*s = -h*u - 4, -4*u - s - 2 = 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -22*h**2 - 10*h - 154. Let s(z) = 17*z**2 + 7*z + 153. What is -3*d(x) - 4*s(x)?\nAnswer: -2*x**2 + 2*x - 150","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 2.1 (b) -0.5 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -10 + 10. Suppose b = -2*m - 51 + 49. Let f(p) = -72*p - 1. Is 28 a factor of f(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -19, 84, 5 in decreasing order.\nAnswer: 84, 5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 60 and 237144?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 154*b + 141*b - 88*b - 6945 = 2577 for b.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 26896*h**2*q**3 + 68*h**2*q - 16*q**3 + 793*q wrt q.\nAnswer: 161376*h**2*q - 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.3425 - 0.37391. Round m to 3 dps.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 34068 and 7014?\nAnswer: 238476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dxxi when four letters picked without replacement from {x: 2, k: 2, d: 8, i: 5, a: 1}.\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 4, 0.4 in decreasing order.\nAnswer: 4, 0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*d = 5*v + 12, 3*v = -2*v - 20 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1111 - -1111110001100001000111?\nAnswer: 1111110001100000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 428 is divided by 211.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2\/13 (b) 2\/13 (c) 45\/8 (d) -1.7133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-15)\/((-30)\/(-4))*1. Let j(q) = 52*q**2 - 9*q + 7. Let b be j(u). Which is smaller: 234 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 431 + -38. Let p = o - -210. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:27 AM and 6:42 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 282508235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 21*o - 659 - 34. Let m(k) = 3*k + 2. Let c be m(1). Solve -5*h - 3*f = -c*f - o, 5*h + 3*f - 13 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -4 - 12*l + 3*l - l. Let b be j(-4). What is the units digit of b\/(-12) - (-38 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -1546*a*b**3*m*r + a*b**3*r + 2*a*b**2*r + a*b*r**3 - 5*b**3*r**3 + 22*b**2*m*r**3 - 90*b**2*r**3 - 64*b*r**2 wrt m?\nAnswer: -1546*a*b**3*r + 22*b**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6854940?\nAnswer: 2, 3, 5, 38083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 14030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 8138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = 156 + -147. Suppose -20*q - 43239 = -91*q. Calculate the remainder when q is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01 take away -9879?\nAnswer: 9879.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ggspxzxgxegg. Give prob of sequence xsgg.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (2 - (17 - 8) - -2) + 13 - -9?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -c**3 + 3*c**2 - c + 1. Let h be v(2). Let q = -1.74 - -1.44. Let o = -0.2 - 2.8. What is the smallest value in h, o, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -2015, -8049, -18113, -32213, -50355?\n\"Answer: -h**3 - 2009*h**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -119*r + 1131. Determine y(9).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) be the second derivative of 5\/2*q**4 + 2\/7*q**7 - 3\/2*q**2 + 3*q**5 + 3\/2*q**6 + 0*q**3 - 5*q + 0. Suppose d(v) = 0. What is v?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2*(-5)\/(-5))\/(-10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -193*c = 228*c - 11367 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5\/4 in 7\/4, -2, -10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(18)\/(3*sqrt(6)*-5) - (sqrt(132)\/sqrt(11) + -4).\nAnswer: -31*sqrt(3)\/15 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1203 + 1203. Let m = 127 - 505\/4. Which is the second smallest value? (a) w (b) 4 (c) m (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 5*z = -4*c - 10, 0 = -3*c - 2*z + 19. Suppose 4*h - c*i = 2, i - 14 = -4*h - 2*i. Let u(p) = 2 + 3*p - 6 + h + 0. Give u(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-13 + 43 + 43)*(-4*n + 5*n - 2*n)*(6*n - 3*n - 4*n) to u*n + p + b*n**2 and give b.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -1099*v - 291 = -1133*v - 53 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 178095?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -h - 3*i + 35, 5*i + 24 + 25 = 3*h. Suppose 503*w - 500*w = 15. What is the closest to 1 in 0, h, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 328\/(-8) + 1491\/(-213)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 2*c = 17, 16*c - 20*c = -v + 1. Sort 44, v, -2.\nAnswer: -2, v, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*p - 2*p + 16*p**2 - 13*p**2 - 13*p**2 to the form x*p + r + n*p**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -2\/13, 2\/3, -107, 3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 461228 less than 461228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + -4 + (-9 - -8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -5*z**3 - 5*z**2 + z. Let r(x) be the second derivative of -7*x**5\/10 - 7*x**4\/6 + x**3\/2 - x - 838. Determine 11*i(q) - 4*r(q).\nAnswer: q**3 + q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.042 + 2.958. Let t = 105.52 + -99.633. Let p = -0.113 - t. Which is the nearest to p? (a) 0.4 (b) x (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -147, -207, -269, -333?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14840643.\nAnswer: 3, 17, 290993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = l**3 - l**2 - 3*l + 5. Suppose 397*g = 386*g + 22. Give r(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vwvvwwwjvvv. Give prob of sequence wjww.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 10110103122 (base 4) in base 6?\nAnswer: 40131310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*l - 1398 = -1533 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 106 a factor of 367265095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n**1)**(-10\/9)*n**(-1\/10)*n**8 assuming n is positive.\nAnswer: n**(511\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 9, r: 3, n: 2, b: 3}. Give prob of picking 2 n.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-32)\/(-192) + 1\/(-2))*-110811.\nAnswer: 43, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -121*y**2 - 14*y + 22*y - 10*y.\nAnswer: -121*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 439 - 2*q + 692 + 299.\nAnswer: -2*q + 1430","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 240 and 124886820.\nAnswer: 499547280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = -22 - -37. Let d(j) = j**3 - 28*j**2 + 47*j + 130. Let i be d(26). Solve i = -6*p + 3*p + g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 37.26464 + 7921?\nAnswer: 7958.26464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -103.5137 rounded to 1 decimal place?\nAnswer: -103.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -105b85 - -3bb?\nAnswer: -105797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = 8 - -12. Let y be (9 - (-686)\/(-70))*10\/(-4). Solve 2*a = -y*a + w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -37313, -37342, -37369, -37394?\nAnswer: -37417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 309*h - 42. Let o(u) = 3400*u - 484. Calculate 2*o(d) - 23*z(d).\nAnswer: -307*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -u**3 - 8*u**2 + 4*u - 11. What is b(-8)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 47\/1864 and -57\/160.\nAnswer: 37280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 484*o**3 - 945*o**3 + 476*o**3.\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = -25 + 55. What is the highest common divisor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*c + 6*c - 2*c)*(-3 - 3 + 2) + 3*c + 3*c - 5*c.\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -1\/4, 3, -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -0.1, 2, 0, 1, -320?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1 + (-5)\/25)*-30. Calculate the greatest common factor of 324 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 115*q**4 + 13*q**3 - 11827*q**2 wrt q?\nAnswer: 2760*q + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -b**2 + 4*b - 2. Let k be t(3). Suppose 73*j - 80*j = -112. Solve j = -3*x + k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -370 = -2*s + 5*r, -1 = r + 1. Suppose -10*y + s = 2*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -53*t = -7*t + 46 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 432 and 3278094.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = r**3 + 5*r**2 - 81*r + 166. Let m be k(7). Calculate the highest common divisor of m and 803.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-108)\/(-5) - (315\/(480\/(-32)))\/(-35).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a = n + 89, -a + 62 = 4*n - 5. Suppose -2*x + 5*v = -104, -3*x = -2*x - 5*v - a. Suppose 21 = -4*w + x. Solve 2*b - w = -3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = -6*f + 575. Let m be ((-2754)\/f)\/(-6) + -4. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = y + 26. Let c be v(-8). What is the derivative of -3*s**4 + c + 12 + 5*s**4 wrt s?\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 10513 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose k**3 - 57*k**2 + 251*k + 2805 = 0. Calculate k.\nAnswer: -5, 11, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 6*f**2 - 19*f + 13. Let y be s(8). Let b = -240 + y. Let h(x) be the second derivative of x**4\/12 - 7*x**3\/6 + 3*x**2\/2 + x. What is h(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p*p*p\/(p*p*(p*(p**(-4\/3)*p*p)\/p)\/p)*p)\/p**(-6))\/(p**0)**(-42))**(2\/107) assuming p is positive.\nAnswer: p**(50\/321)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -q**3 - 7*q**2 - 3*q + 2. Suppose y + 5 = -1. What is h(y)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 127805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (-64)\/42 + (-85)\/595 + (-70)\/30\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*o + 8*o - 44. Let m = o + 44. Find the common denominator of -39\/22 and m - 0 - 108\/40.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -47.5 or -3?\nAnswer: -47.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 133 (base 5) in base 11?\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r - 2255 = -8*r + 3478. What is the greatest common factor of r and 504?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -26073 <= -0.08465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y**2 + 4*y - 5. Let o(n) = n**2 + 5*n - 6. Let m(b) = 5*o(b) - 6*p(b). Calculate m(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) be the third derivative of s**4\/12 + s**3\/3 - 30*s**2. Let r(p) = -3*p - 3. Determine -5*a(w) - 3*r(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = o**3 + 7*o**2 + 9. Let h be y(-7). Let z = -5 + h. Suppose -58 = -4*g - 2*q, -q + 53 = z*g - 0*q. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -20 or 60\/2385907?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve g**4\/6 + 2107*g**3\/6 + 15727*g**2\/3 + 77464*g\/3 + 41840 = 0.\nAnswer: -2092, -6, -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ptpfftpppfpp. Give prob of picking 1 f and 2 t.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t**3)\/t*((t\/(t*t**(2\/25)))\/t)\/t*(t*t\/t**23)\/(t*t**(3\/8)\/t*t))**(-31) assuming t is positive.\nAnswer: t**(133021\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Multiply -13.38 and 3.\nAnswer: -40.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*n + 60*n**3 + 24*n**3 - 5*n.\nAnswer: 84*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 171*y - 57*y + 237726592 = -13164608. Round y to the nearest ten thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 + -1 + (-1 - 4 - -5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -8077*c + 6999.\nAnswer: -8077","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is one twentieth of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 199\/179277840 and -143\/995988.\nAnswer: 179277840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 337 divide 2686096530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v**(1\/3)*v)\/v)**(-5\/11)\/((v\/(v\/v**(2\/7)))\/(v**(-2)*v)))\/(v\/(v*v**6)*v**(-2\/7)\/v)**5 assuming v is positive.\nAnswer: v**(8083\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1043340 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-2 - (-3 + 0))*-2. Suppose 3*u - 60 + 51 = 0. Sort u, -3, c, 2 in descending order.\nAnswer: u, 2, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 4\/3 of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + 5 = -p + 15, 0 = -2*g - 4*p. Is 13\/4 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -907 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -11*b + 48. Give s(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 8*h. Let t(d) = -122582 + 122582 - 101*d. Give t(n(l)).\nAnswer: -808*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-788)\/(-44) - (-1)\/11. Let k be (-3)\/(-12) + (-141)\/(-12). What is the highest common divisor of k and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 3*r + 2*r = -261, 3*r - 147 = -3*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.260225953 from -48.93.\nAnswer: -49.190225953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -31\/25875 and -31\/5250.\nAnswer: 362250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 10 = 3*k + 3, -o + 25 = -5*k. Let x(z) = z**3 + 7*z**2 + 7*z - 1. Calculate x(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 + -7 + 1 + -8 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 300443 and 4134195?\nAnswer: 2483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -115\/4 + 29. Let o = -513 + 514. Which is the nearest to v? (a) -4\/3 (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b**(-2)*b*b)\/((b\/b**10)\/b))**(9\/8)\/(b**(-5\/3)\/(b\/(b**(3\/2)*b))*b*b**(1\/7)*b*b*b\/(b**5\/b)*b) assuming b is positive.\nAnswer: b**(1915\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 31.8056 millilitres in litres?\nAnswer: 0.0318056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 152 and 3140?\nAnswer: 119320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*p - 5*o = -p - 5, -o = -3*p - 9. Let b be 4 + 1\/p*2. Let w be (-4)\/(-6) + (-2)\/b. Round w to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 7881 - 1094. What is the thousands digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1793860.81*-6.\nAnswer: -10763164.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 1672016 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*s + 6*y - 330 = -135, -2*s + 3*y - 6*y = -y - 80 for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-230)\/60*-6 + (-36 - -7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, -0.024, -5\/4 in descending order.\nAnswer: 0.3, -0.024, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:15 AM and 6:33 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4, -53\/2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.009 + 6.691. Let h = i - -1.3. Let p = -8.6 + h. Round p to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -31 + -1a?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3 + 10. Let v(n) = -2*n**2 + 3*n**2 - 10 - c*n - 4*n. Is v(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = o - 3*o + 3*r + 6, -o - 4*r = 8. Let y = -7 - o. Let c(i) = -i + 4. What are the prime factors of c(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 42 - 42. Suppose 7*c - 36954 - 32087 = q. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from twwzjydj. What is prob of picking 1 d, 1 j, and 1 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = 11 + -9. Let f = 0.78 + -1.08. Which is the third smallest value? (a) 0 (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.027 and -6.\nAnswer: 0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10877.\nAnswer: 73, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 6, 0 in descending order.\nAnswer: 6, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y**3 + 7*y**2 - 11*y - 20. Let f be h(-8). Which is the biggest value? (a) 3 (b) f (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 836*l - 7. What are the prime factors of b(1)?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 547192\/49 and 11166 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Put together -84.99 and 0.0495.\nAnswer: -84.9405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/3? (a) 0.3 (b) 22\/25 (c) 0 (d) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r be (4\/(-10) - 448\/(-20))\/2. Let v = r + -8. Let i(z) = -1 + 6*z - 6*z**2 - 285*z**v - 1 + 286*z**3. Calculate i(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1335*q + 14*q**2 + 15*q**2 + 23*q**2 - 49*q**2 to b*q**2 + n*q + x and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 32*x - 54. What is g(0)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 126 - 141 - (4 - 41)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1617587 - -0.35.\nAnswer: 0.1882413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8317, 33268, 74319, 131032, 202969, 289692, 390763, 505744?\nAnswer: 634197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wrrrriwiriwrkw. Give prob of sequence rrrw.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -8*x**3 + 12*x**2 + 4*x - 7. Is g(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 15\/(90\/4)*(-17)\/(306\/999).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p + 45 = -5*f, 4*f + 35 + 3 + 22 = 3*p + 27 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -200*l + 241*l - 987321 = 0. Does 23 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from adiduawida. Give prob of picking 1 i and 1 a.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -24300 - 1240240615?\nAnswer: -1240264915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -0.08 or -48?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 5, c: 2, z: 3}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = v**3 - 16*v**2 - 53*v + 37. Determine l(19).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -77913+-4\nAnswer: -77917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 6 = -5*n, 0 = v - 4*n + 6*n. Suppose -3*z - 4*g + 1749 = -6*g, -4*z + 2*g = -2334. Suppose -13*k + z = -0*k. Sort -2, v, k in ascending order.\nAnswer: -2, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -29*x + 32*x + 3. Let w be -4 + x - (-8 - -4). Let d(n) be the first derivative of n**2\/2 - 9. Let i(l) = 2*l**2 + 6*l - 4. What is w*i(u) + 6*d(u)?\nAnswer: -2*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f be 10\/(-65) - (-943)\/299. Let j be 1\/4 - (-22)\/8. Solve -1 = 2*p - j*v, -5*p + v + f*v + 1 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -2, 2, 6, 10, 14?\n\"Answer: 4*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 - (-6 + 1 + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3\/2? (a) 8\/5 (b) 1 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = w**3 - w**2 + 3*w - 5. Let h be p(2). Let a(l) = -l**3 + l**2 - l + 2. Let d be a(0). What is the highest common divisor of h and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 2*o. Let b(d) be the second derivative of 95*d**3\/3 - 5*d + 28. What is z(b(t))?\nAnswer: 380*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-2\/23)*y*y*y)\/y*y**(28\/9))\/(y**(2\/59)*y\/y**(-2\/79)) assuming y is positive.\nAnswer: y**(3825481\/964827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/(-6) + 26\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1\/(-7)*(-371)\/689. Which is the nearest to 2? (a) 0.4 (b) 2\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 1885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 371 - 434 = -9*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-96)\/(-54) + (-4)\/(-18). Suppose -i*y = 2*f - 8, 3*y = 7*y - 4*f + 24. Calculate the remainder when (-103)\/((2 + y)\/(-1)) is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32646 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1529987925?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 4*g**2 - g - 75. Let f(m) = 13*m**2 - 4*m - 226. Let r(d) = -2*f(d) + 7*z(d). What is the remainder when 94 is divided by r(7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 43*2103\nAnswer: 90429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 105*m - 17 - 243 - 160 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Are -26\/47 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 454 a factor of 838084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -169?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = 13*o**3 + 24*o**2 + 7*o + 13. Let x be y(-13). Is 98\/735 - x\/15 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -17*y**2\/5 + 235*y - 138\/5.\nAnswer: -(y - 69)*(17*y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 1715 (base 10) to base 8.\nAnswer: 3263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 507486694 a multiple of 1531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/((36\/16)\/((-24)\/16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 13 + -23. Let j = l + 14. Suppose -4*y + i + 92 = 0, -21 + 5 = -j*i. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12.68 + -3401068.\nAnswer: -3401080.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 320*z - 10160. Let f be x(39). What is the greatest common divisor of f and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 10, 26, 48, 76, 110?\n\"Answer: 3*y**2 + 7*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 44165?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 17*n + 580. Let t be u(-34). Suppose f = 4*f - 18. Suppose b + t*m - 247 = 0, m = f*b - 3*b - 755. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -19.82651 rounded to 2 decimal places?\nAnswer: -19.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1425342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 139480 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5)\/(-7 + 336\/49 - 46\/(-28)).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 12717165 to the power of 1\/2, to the nearest integer?\nAnswer: 3566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = 36 - 37. Let c be ((-86)\/43)\/(i + 0). Solve 0 = -2*m + 2*l - 0*l - c, -l - 3 = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 516 a factor of 1168224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 388165428 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: What are the prime factors of 13067477?\nAnswer: 2273, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*u**3 - 15*u**2 + 85*u - 32*u + 36 - 36*u - 41*u.\nAnswer: 3*(u - 6)*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*o + 8*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l and 2 v when four letters picked without replacement from nllnvnnlvnlnn.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 7310 and 2795.\nAnswer: 95030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 80 and 64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -27277, -27278, -27279, -27280?\nAnswer: -27281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be 0 + (-48)\/(-3 + 2). Suppose 4*o = 2*s - 22, 3*s - 3*o + 6 = n. Calculate the remainder when 64 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (12 + 17*j - 12)*(-10 - 6 + 9)*(-15 - 12 + 13) to the form z*j + s and give z.\nAnswer: 1666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 1 - 1 + s**2 + (-2*s + 2*s + 2*s**2)*(-1 + 2 - 2) - 132*s**2 + 27*s**2 - 45*s**2 as m*s + g + w*s**2 and give w.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2764\/9 or 306?\nAnswer: 306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 15*c + 7 + 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g be (172\/3)\/((-2)\/(-3)). Let x = g - 56. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4035\/29 - 20204\/145. Let x = 6 - 2. Suppose -x*t = 2*m + t - 7, -31 = 4*m - 5*t. Which is the nearest to -1? (a) m (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -455\/8 - -57. Suppose -6*o - 5083 = -5089. Which is bigger: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 31.2 + -30.7. Which is the nearest to 0.1? (a) 2 (b) 15\/2 (c) -4\/9 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 61 or 59?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t be (0\/2)\/(5 - 6). Suppose -2*j - 4*q = -8, -2*j - 2*q + 10 = -t*j. Let o = -3 + 14. Calculate the least common multiple of o and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 56 is divided by 1\/2*266\/(-7)*-1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4389*v = -4373*v - 48 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k = k + 12. Suppose 0 = -2*g + 2*x - 4, -4*g - 1 = x - k. Solve r + 2*r - 9 = g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-4)\/(-10) - 24\/10. Calculate the remainder when 7 + -4 + (-24)\/l is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = z + 3*j + 6, z - 5*j - 33 = 0. Suppose 3*m + m - 40 = 0. Suppose 6 = -l + 2*o, -5*o = -4*l - 2 - m. Calculate the least common multiple of l and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -141 by -111089.\nAnswer: 141\/111089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 244 divide 15604432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2 - -50666275?\nAnswer: 50666273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1 - -0.8. Let j = 41 - 45. What is the closest to 0.2 in j, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 48624 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -61\/3123384 and -181\/60.\nAnswer: 15616920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 26030661?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -13\/479100 and -49\/8020.\nAnswer: 192119100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t**2 - 6014*t - 2297084 = 0.\nAnswer: -2558, -449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 u when two letters picked without replacement from {j: 2, o: 3, u: 3, s: 1, h: 1, w: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q + 2*q + 60 = 0. Let p = q - -110. Suppose -4*v + 60 = -p. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 522 divide 10967742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5? (a) -0.161 (b) 4 (c) -0.1052 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 62 + -56. Suppose -z*n + 35 = n. Solve 0*u = -5*u - n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4, -7, -0.08, 3\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t be (1 + 3 + -1)*1. Let q = -5878 - -5903. Solve t*r + q = -2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -244893*f**3*r**3 + 501*f**3 + 20*f**2*r**3 - 8079*f**2*r**2 - 1 wrt r.\nAnswer: -1469358*f**3 + 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -426*l - 1334*l + 30*l - 51900 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j be (0\/(4 - 0))\/1. Suppose -2*x - 2 + 10 = j. Find the second derivative of -h - 2*h + 5*h + h - 5*h**x wrt h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 5580\/(-612) + -1 + 10. Put -4\/11, -1.6, f in ascending order.\nAnswer: -1.6, -4\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1459 + 2177. Let f = o + -503. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -789875 divided by 4?\nAnswer: -789875\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 233423656*t**4 + 156403547*t**2.\nAnswer: 5602167744*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 155 + -158. Let q(i) = -32*i. Let x(l) = -33*l. Let a(d) = y*x(d) + 4*q(d). Let s(v) = -3*v**2. Determine a(s(m)).\nAnswer: 87*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 126, 434, 926, 1602, 2462?\nAnswer: 3506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in r**3 - 2*r**3 + 2*r**3 + 0*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pr when two letters picked without replacement from rrp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1840 is divided by 601?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = 140 - 50. Suppose 0 = 2*w + 3*w - k. Solve 0*s + 4*g = -2*s + w, 3*g - 21 = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7 + -3. Suppose -2*x = -3*s + 14 - 3, -4*s = -3*x - 14. What is the remainder when l is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the second derivative of -t**7\/70 + t**4\/2 + t**3\/2 - 18*t. Let d(g) be the second derivative of u(g). Differentiate d(v) wrt v.\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -8, -1\/335, 4, 3, -0.8, -4 in increasing order.\nAnswer: -8, -4, -0.8, -1\/335, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-16)\/(-20) - (3645\/(-1975) - -3). Is n greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/4 of a meter in millimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.58 and 14?\nAnswer: -22.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3*(-2 + (-8)\/(-3)). Let o = -0.2 + 0.3. What is the closest to 1 in 4\/3, g, o?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - 19) + (106 - 107) + 61.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s - 12 = 0, -2*s + 4 = -4*y + 46. Solve -5*m - 4*n - 3 = 20, -5*m + 3*n - y = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 4*b**2 - 2*b + 1. Let d be w(-5). Suppose -5*s + m + 234 = -d, s - 2*m - 78 = 0. Let u = s - 12. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = a + 2. Let p be y(-2). Suppose p = 3*n - 4*x - 38, -45 = -4*n + 5*x + 6. What is the remainder when 26 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 81*m = -2*f + 86*m + 1337, 2765 = 4*f + 3*m. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -28\/101795 and -79\/122154.\nAnswer: 610770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1082 is divided by 727.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -39*f**4 + f**3 - f**2 + 9454*f wrt f?\nAnswer: -468*f**2 + 6*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 6, k: 6}. Give prob of picking 2 k.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 188018 is divided by 15416.\nAnswer: 3026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 - (-1 - (-4 - 1)) - (-303 - -386)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*l**3 + 13*l**3 - 29*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.05 - 0.05. Which is the closest to v? (a) 2\/3 (b) 1\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 21 + 37 = w, w - 3 = 0. Let g = f + -7. Let y = -8 + 10. Solve 3*z - y = g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 953\/15 and 64 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 119 > -64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -7 - (0 + 2 - 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -40 + 32?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 74*c + 1. Calculate v(1).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from {x: 1, q: 1, a: 8, m: 1, g: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10010010010110000110 + 1101001?\nAnswer: 10010010010111101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -6*p. Suppose -3*c - 65 = -5*h, 6*c - c = h - 35. Let o = h + -1. Suppose -53 + o = -3*w + 4*t, 4*w = -t + 27. Let j(i) = i. Calculate w*j(v) + a(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*x**4 + x**3 - 2746*x - 125259 wrt x?\nAnswer: -8*x**3 + 3*x**2 - 2746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 2456*x - 2456*x - 16 + 596*x**2 + 16. Let i(n) = 3*n. Give g(i(b)).\nAnswer: 5364*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -2.441200647 and -2179?\nAnswer: 2176.558799353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -14*w - 17*w - 10*w + 82 - 70 to the form l*w + x and give l.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) be the third derivative of 0 - 1\/6*v**3 - 1\/24*v**4 + 0*v - 26*v**2. Give g(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 168075 and 2330225?\nAnswer: 2075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Do -281 and -1961\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 585185?\nAnswer: 5, 117037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -737, -734, -727, -716, -701?\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -14, -15, -4, 25, 78, 161, 280, 441?\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 277094 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -36, 210, -5\/2 in descending order.\nAnswer: 210, 5, -5\/2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4 (b) 1 (c) 0.9 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1446643052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 19470*k**2 - 216*k**3 + 20033*k**2 - 37292*k**2 wrt k.\nAnswer: -1296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m + 3750 = -558. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -2*q**3 + 104*q**2 - 82*q - 135. Determine i(51).\nAnswer: 885","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 + (5 - 0 - (3 + -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4052171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 25 + -47. Let s = -16 - o. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = b**3 + 23*b**2 - 50*b - 2. Suppose 0 = 9*o + 130 + 95. What is g(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-11 - -3) + ((-420)\/(-2730) - (-2284)\/26).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (481*w - 1139*w + 426*w)*(-2 - 1 + 1).\nAnswer: 464*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 80 = -0*h. Suppose 3*s - 5 = u - 14, -3*u - 2*s + h = 0. Is 56\/(-3)*u\/(-2) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -13*q**4 - 18*q**4 + 393*q**5 + 1 + 47*q**4 - 85*q - 16*q**4 wrt q?\nAnswer: 7860*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q = 4*w - 8, -8 = 5*q - 0*w - 4*w. Suppose 2*d - 28 = -4*i - q*i, i = 5. Suppose d*u + 5*z + 1 = -0, 3*u = -3*z. 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 smallest value in 4, 899, -21, -1, 18?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.11, 1, -4050 in increasing order.\nAnswer: -4050, 0.11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -512, -1053, -1976, -3287, -4992?\n\"Answer: -p**3 - 185*p**2 + 21*p - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -139251306 divided by 46417102\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 16627708577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3 + 0 - 2)*(-2 + 2 + g) + 10*g - 5*g + 25*g)*(3*g + 2*g - 4*g)*(-2 + 1 - 2).\nAnswer: -93*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 11 + -17. Let v(r) = -9*r + 2 - 4 + 0*r + 4. Is v(u) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 75 + 11 = 0. Let d be -4*(7900\/t)\/(-5). Suppose -3*l = -1 - 5, -l = 3*y - d. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3409\/1 - (1\/3 + 150\/(-45)) is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -9.7 + 10. Put y, -1\/5, 0 in ascending order.\nAnswer: -1\/5, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1243 and 339?\nAnswer: 3729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -67\/4 and -37\/1183.\nAnswer: 4732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 137 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, -1, 312851 in decreasing order.\nAnswer: 312851, 7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = i + 22583, 10170 = 2*u + 3*i - 4889. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 7*r**2. Let u(i) = 23*i**2 - 40*i**2 + 16*i**2. What is u(p(a))?\nAnswer: -49*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 171 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the first derivative of -r**6\/24 + r**5\/5 - 3*r**4\/16 - r**3\/3 + r**2\/2 - 3. Suppose q(n) = 0. Calculate n.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5 + 2*l - 5 + (0 - 2 + 8)*(0*l + l - 3*l) as o + i*l and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*h - 10*h - 4*h**4 + 2*h**3 + 7*h to the form k + i*h**3 + n*h**2 + w*h**4 + x*h and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 7, -0.4, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -6 + 8. Let k = 2 - r. Let c = k - -0.4. Round c to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15342108.\nAnswer: 2, 3, 127, 10067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o be (26\/(-6) - -4) + (-1551)\/(-9). Let p = 212 - o. Calculate the remainder when 152 is divided by p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 299.5 times 0.1\nAnswer: 29.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 0.5445, -5, -14 in descending order.\nAnswer: 0.5445, 0, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + 1 + -1*(-2 + sqrt(5))*6*5)**2.\nAnswer: -3660*sqrt(5) + 8221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -19938, -78693, -176620, -313719, -489990, -705433?\nAnswer: -960048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -i**2 + 14*i + 18. Let y be h(15). Let s(a) = -3*a + 2. What is s(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 18162*i - 2978570. Calculate v(164).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12998 is divided by 343?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4\/(-10) + 8\/70. Let j = 0.502 + -0.602. What is the third smallest value in 1\/3, -0.2, y, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -4*a - 14. Let z be w(-4). Factor 1\/3*l**z + 1\/3*l**3 + 0*l + 0.\nAnswer: l**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = a - 12. Let w(f) = -f**2 - 6*f - 5. Calculate the remainder when a is divided by w(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*s = 428 + 142. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 63.2856 + 0.0144. Let v = -62.8 + u. What is the third biggest value in -2\/11, 2\/9, v?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-18)\/24*(-57758)\/(-114). Let o = -380 - i. What is the common denominator of -9\/20 and o?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -32189557*b + 32189557*b + 3*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4*(1 - 18\/(-8)) - 2. Suppose -2*j = w - 64, 3*w - m + 17 = 0. What is the remainder when 294 is divided by j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -10*q**3 + q**2 + 13*q - 2. Let m(a) = -19*a**3 + 4*a**2 + 25*a - 5. Let c(z) = -4*m(z) + 7*v(z). Find w, given that c(w) = 0.\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gnn when three letters picked without replacement from nngnofgnfgggnguo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = -240.3 - -33.3. Let l = -175147611649 + 175147611441.999999891. Let f = j - l. What is f rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 5. Let f(c) = 2. Let i(j) = 8*f(j) - 3*m(j). Let u(p) = p - 6. Let y(v) = -3783*v + 208060. Let k be y(55). What is k*i(w) - u(w)?\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide -610 by 4.\nAnswer: -305\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -1334466 (base 7) to base 8.\nAnswer: -531371","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Let u = -1473 + 1477. Let c = 6 + -2. Is u not equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12208 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -h**3 - 61*h**2 + 188*h - 140. Let k be f(-64). Sort k, 12, 4, -2\/9 in increasing order.\nAnswer: -2\/9, 4, 12, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*h - 14*h - 22 + 15*h)*(-4*h + h + h) to i*h + r*h**2 + f and give i.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3054 - -3067.81. Round i to zero decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 75 a factor of 7491922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) be the second derivative of 23\/56*n**8 + 5\/12*n**4 + 0*n**6 + 0 + 0*n**2 - 30*n + 0*n**7 + 0*n**5 + 0*n**3. Find the third derivative of m(r) wrt r.\nAnswer: 2760*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 5*z + 5*k = -480, -3*z = -5*k - 355. Suppose -8*g + 397 = z. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -1448, -1705, -2134, -2735?\n\"Answer: -86*u**2 + u - 1363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4.06 - -0.06. Let s = -29.06 + 0.06. Let k = s + 31. Which is the nearest to q? (a) 1 (b) k (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -c**2 + 173*c - 808 wrt c.\nAnswer: -2*c + 173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -79*p**2 - 16*p**3 + 279*p**2 + 40*p**3 - 100*p**2 - 82*p**2 - 10*p**3 - 15*p**3.\nAnswer: -p**3 + 18*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = 55 + -61. Let l = f + 10. Suppose -189 = -p + m, l*m - 931 = -5*p + 2*m. Does 26 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1214\/(-22) - (-16)\/88. Let i = d + 190. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -2*n + 3. Suppose 140 = -0*m + 5*m. Suppose o + m = 24. Give p(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*p - 34 = 14*p. Let u = p - -36. Solve 0 = u*f - 3*c + 11, -5*c + 5 = -20 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 <= -2\/169451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3\/9230622860 + -195946891315071307\/359994291540. Let a = z - -544340. Let l = a - 69\/2. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 25*y**2\/4 - 45297*y\/4 - 1359.\nAnswer: (y - 1812)*(25*y + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -72*s + 157. Let d(q) = -q + 5. Let o(v) = b(v) + 2*d(v). What are the prime factors of o(-8)?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = -b + 6*b - 1634, -3*b - 2*o + 970 = 0. Suppose 3*r = -4*a + 422 + b, r + 5*a - 253 = 0. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 23\/((-3726)\/72) - 4\/(-9). Let v(d) = -d**3 + 2*d**2 + 3*d - 3. Let a be v(2). Let f be 2\/(1\/(-1 - -2)). Sort 1, a, t, f in ascending order.\nAnswer: t, 1, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 50 and 250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5 + -4.9. What is the nearest to 0 in y, -0.3, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 0 = 1\/511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = -21 - -61. Suppose 5*f - n = -0*f. Solve -5*l = 2*t + f - 2, 0 = -2*t - 3*l - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 0, -13, -48, -117, -232?\nAnswer: -405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 10*a**4 - 10*a**3 - 46285*a - 23242159 wrt a?\nAnswer: 40*a**3 - 30*a**2 - 46285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m be (48\/6288)\/((-3)\/(-1)). Let v = m + 2351\/2751. Is 3\/14 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -2*c**2 - 2*c - 1. Let h be i(-1). Let q = h + 2. Calculate the remainder when 4 is divided by (q + -4)\/(-3) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*z = -12*z - 200. Let r = 46 - z. What is the lowest common multiple of r and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -58*n - 2001 = -83*n - 4*n for n.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*((sqrt(204) + (sqrt(204)*-1 + sqrt(204) - sqrt(204)) + sqrt(204))\/sqrt(12) + sqrt(17)))**2 + -3.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 9*p**2 - p + 6. Let g be j(4). Let z = g + 11. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4491 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3130232 + -11?\nAnswer: -3130303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-469)\/(-134))\/((539\/(-42))\/(-11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 42 divided by 3643\nAnswer: 42\/3643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 188*w - 23. What are the prime factors of t(6)?\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 15, -2, 8 in descending order.\nAnswer: 15, 8, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -78 - -0.247221\nAnswer: -77.752779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -550014, -1100508, -1651002?\nAnswer: -2201496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6194 is divided by 649.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = -28 - -57. Solve 0 = 5*l + 9 - c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 44670832.\nAnswer: 2, 17, 164231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: What is thirteen fifths of a millennium in months?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -f + 5, -5*g - 3*f + 55 = 0. Let n be (21\/9 - g\/(-12))*-4. Let v = n - -76. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 211037*t + 27223766. Determine p(-129).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 12 = -0. Suppose 0 = -5*m - 20, -29*k + 30*k = -2*m - 10. Sort -4, k, 1, b in descending order.\nAnswer: b, 1, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rrryyrryryrryyryyyrr. Give prob of sequence yry.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*w = 18*w + 20. Let p(j) = j**2 - 2*j + 1. Calculate p(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 432\/7*n + 62 - 2\/7*n**2 = 0. What is n?\nAnswer: -1, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -4\/5, -81 in descending order.\nAnswer: 2, -4\/5, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*d + 7*d**3 - 22*d**2 + 22*d**2.\nAnswer: 7*d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) be the first derivative of 2*o**3 - 2*o**2 - 6*o + 28. Let p be w(-3). What is the greatest common divisor of 80 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -17, -23, -31, -41, -53?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -14*(-2)\/(-16)*531\/413\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -423 - -465.2. Let y = 42 - w. Put -3\/2, -5, y in decreasing order.\nAnswer: y, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 140633000 to the nearest one million.\nAnswer: 141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*r - 2*g = -3 + 39 + 12, -r - 10 = 2*g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (-12)\/(-12)*3\/9*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -37, -49, -61?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 15162 - 4662. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 1493*r - 6358. Determine m(2).\nAnswer: -3372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 19 - 3769754?\nAnswer: -3769735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8510306102?\nAnswer: 2, 251, 16952801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 72765 is divided by 269.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v**2\/13 + 2428*v\/13 - 49360\/13 = 0.\nAnswer: -1234, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -1659 greater than -1658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 2 o when three letters picked without replacement from {a: 2, r: 3, o: 10}.\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k - 6 = 0, i - k - 7 - 5 = 0. Let p(j) = 2*j**2 - 69*j - 34. Calculate the smallest common multiple of i and p(35).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3371 - 5?\nAnswer: 3364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that -3*r**4\/7 + 312*r**3\/7 - 7965*r**2\/7 = 0.\nAnswer: 0, 45, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 132 and 6534.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 668 - 653 - (-20 - (-6 - -4))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 - 1 - 6)*(-6*u + 0 + 0).\nAnswer: 84*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*o**2 + o**2 + o**2)*(-3*o**2 - o**2 + 5*o**2) + 3*o**4 + o**4 - 2*o**4 - 362*o**4 - 318*o**4 + 633*o**4.\nAnswer: -43*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -126 - -74. Let b = u + 69. Let k = 37 - b. Solve 0 = f - 5*f + k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -23\/3 and -65\/327.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 38632487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1235758 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from auafauapadaau. Give prob of picking 1 f and 1 u.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 35187\/43 at least as big as 818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5511 - 5514. Let z be (3 - 0)\/(21\/2). Which is the third smallest value? (a) 0.1 (b) k (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -342374 take away 46?\nAnswer: -342420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 4*m + 1329. Let n be c(0). Is n + (14 + -16)\/((-2)\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 611 minutes after 10:06 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 589 minutes before 8:31 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 3, b: 13}. What is prob of picking 1 g and 1 b?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 97, 92, 77, 46, -7?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + 12 = q, k + 49 = 5*q - 3*k. Let f be q + -4*(-2)\/(-4). Suppose -3*i = -f*i + 368. Calculate the highest common factor of i and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = 4*r + 7. Let b be v(-5). Let q be (-1)\/3 - (-14)\/6. Let h be b\/26 - (-13)\/q. Sort 3, 2, h.\nAnswer: 2, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -15 + 31. Let k = h + -11. What is the remainder when 8 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -115 divided by 5?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 85058 and 32092?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*n**3 - 147520*n**2 - 1088255025*n - 2175920010.\nAnswer: -5*(n + 2)*(n + 14751)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2 * -27666.\nAnswer: 5533.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 5 + 5 + (0 - 7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 0 + 0)*(-w - 2*w + 5*w)*(-w + w - 4*w**2)*(-36*w + 3*w**2 + 38*w - 13*w**2).\nAnswer: -240*w**5 + 48*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2 + 3046423?\nAnswer: 3046425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 104393603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -40*u**2 + 40*u**2 + 869*u**3 - 857*u**3.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = -749 - -873. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 681*j**3 - j**2 + 2*j - 1. Let s be a(1). Let r be 30\/(-15) + 16\/4. Suppose r*g - s = -g. List the prime factors of g.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -b**2 - 8*b + 13. Let h be p(2). Suppose 0*n + 5*n = 0. Let v = n - h. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = q**2 - 2*q. Let y be x(0). Calculate the remainder when 54 is divided by (-305)\/(-20) + y + 2\/(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -m - 6. Let u be h(-5). Suppose 0 = -4*y + 26 - 6. Sort u, -3, y.\nAnswer: -3, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2729263507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 7\/6 (b) 1\/35 (c) 1\/3 (d) -0.5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (2577 + 4594 - 2009)*(2*w**3 + w**3 - 6*w**3) as n*w + v + m*w**3 + x*w**2 and give m.\nAnswer: -15486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*d + 3*d - d + 1)*(d**3 - 2*d**3 - d**3).\nAnswer: -10*d**4 - 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 159 minutes after 7:21 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:42 PM and 1:59 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is z in 2*z**3\/3 + 8*z**2 + 6*z - 44\/3 = 0?\nAnswer: -11, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3771 + -3628. Calculate the greatest common factor of v and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 55 = -3*s, 25 = 5*s - 2*s - 4*o. Let z be ((0 - 0) + -6)\/(-2). Suppose z*b - 5 = 1. Solve b*n - s = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -13 times -72\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 6*h - 6. Let j be y(2). Let z = 288 - 270. Calculate the remainder when (-151)\/(-3) + 4\/j is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 45\/2 of a meter?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -i**3 + 2*i**2 + 12*i. Let s be (-4 - (-6 - 0))*(4 - 5). Calculate p(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (98 + 69 - 42)*(-14*s + 7*s + 13*s)*(-1 + 5*s + 1) to f*s**2 + v*s + i and give f.\nAnswer: 3750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -121bd29 (base 14) in base 7?\nAnswer: -133514352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 1.1+-14853696028827\nAnswer: -14853696028825.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = v**3 - 16*v**2 + 5*v + 25. Let a = 23 + 41. Suppose -r = -5*r + a. Let k be s(r). Calculate the highest common divisor of 15 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -6*g**2. Let h be z(1). Let f = h + 12. Solve -4*r + f = -3*t - r, -4*r = 4*t + 16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 43248 and 304368?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Work out -35 * 0.1036.\nAnswer: -3.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 511 - 1876 = 29*u + 10*u - 78 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3251.95591 - -0.04409. Let q = h + -3242.999. Let x = 9 - q. What is x rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 3 s when four letters picked without replacement from vvvbbssbsssb.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 38*s - 12569 + 3221. What is the remainder when s is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 14\/24 - (-1)\/(-3). Let g = -687.3 - -687.1. What is the closest to g in 1, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 84*z - 13*z + 4 + 63*z + 6*z**3.\nAnswer: 6*z**3 + 134*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 1, s: 1, r: 1}. What is prob of picking 1 s and 1 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -a77d6 (base 16) to base 14\nAnswer: -13c02a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 18001, 36003, 54005?\nAnswer: 72007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 436687355, 436687357, 436687359, 436687361, 436687363, 436687365?\nAnswer: 436687367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 3, j: 1, y: 1, e: 10, d: 2}. What is prob of picking 1 y, 1 e, 1 t, and 1 j?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 71\/21357 and -5\/42.\nAnswer: 42714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = 52118\/255 - 1023\/5. Let k = 2\/17 - h. Which is bigger: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 4*v - 9. Calculate a(-7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -29*d + 41. Let p = -52 - -56. Let s(z) = z - 1. Let f(i) = p*s(i) + w(i). Differentiate f(y) wrt y.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 35453193 and 381.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -323 (base 5) in base 16?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3744?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 22 - 112?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = -86408.80084 + 1.80084. Let c = 86407.67121 + g. Let a = -0.67 + c. What is a rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (4*sqrt(567) - (4*sqrt(77))\/sqrt(11)) + (-1*sqrt(4200))\/(-1*sqrt(96)))**2.\nAnswer: -345*sqrt(7) + 33427\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -639, -642, -653, -672?\nAnswer: -699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 318*l = -1057*l - 324*l - 32281 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -16*g + 16 - 9 - 7 to w + s*g and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 234, 418, 638, 894, 1186?\n\"Answer: 18*f**2 + 130*f + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 398, 281, 94, -157, -466?\nAnswer: -827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pzcp when four letters picked without replacement from {c: 11, h: 4, z: 2, p: 2}?\nAnswer: 11\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from hmhsmhnhhnhheshsh.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 15*p + 35. Give j(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -5, -40, -143, -350, -697, -1220, -1955?\n\"Answer: -6*z**3 + 2*z**2 + z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 54029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 2234253 - -3094.9\nAnswer: 2237347.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = 45\/1142 - 73057\/13704. Calculate the common denominator of w and 13\/7.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 445196629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u + 5 = -u, 0 = -4*l - 3*u + 185. Suppose -c + 14 = 3*m, -2*m = 5*c + 3*m - l. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 546*j - 10370. Give b(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 18*m + 133. Give q(-4).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2\/7 (b) -6 (c) 0 (d) -0.5 (e) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1009143756?\nAnswer: 2, 3, 28031771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(18)\/(1*sqrt(9)) + sqrt(2) + sqrt(2) + sqrt(16)\/sqrt(8) + -2)**2.\nAnswer: -16*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00002314 rounded to 7 decimal places?\nAnswer: 0.0000231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -2*j - 30. Let n(m) = -1. Let s(o) = -n(o) + w(o). Let i be (-630)\/39 - 10\/(-65). Let a be s(i). Solve 0 = -a*d - 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4227\/13 + -325. Let u = 1 + -0.6. Sort y, u, 2.3.\nAnswer: y, u, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*c**6*j**3 + 45*c**6*j**2 - c**2*j**2 + 8*c*j**3 - 11*j**3 wrt c?\nAnswer: 240*c**3*j**3 + 5400*c**3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8, -103, -262, -485, -772?\nAnswer: -1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Total of 5.61 and 273.68115911.\nAnswer: 279.29115911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*-2*sqrt(20))\/(sqrt(324)*2 + sqrt(324)) + 6*((sqrt(125) - sqrt(125)*-2)**2 + -5).\nAnswer: -10*sqrt(5)\/27 + 6720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-306)\/204*((-5)\/2 + 2). What is the fourth smallest value in o, -5\/4, -101, 1\/8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) be the second derivative of -h**6\/480 + h**5\/12 - 25*h**4\/24 - 91*h**2\/2 - h - 42. Let w(q) be the first derivative of p(q). Solve w(j) = 0 for j.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 658770 is divided by 1599.\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = m**3 + m**2 + m + 1. Let z = -4 + 3. Let q(a) = -5*a**3 + 2*a**2 + 3*a + 1. Suppose 0 = 8*w + 91*w - 12*w - 261. Calculate w*f(c) + z*q(c).\nAnswer: 8*c**3 + c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -27\/59200 and 11\/8806000.\nAnswer: 35224000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 1560 (base 7) to base 13\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000025999945 to six dps.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 125 - 103e7?\nAnswer: -102c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = -121 - -132. Suppose y*o - 35*o = -2472. Is o a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*v = 17*v - 495. Suppose h = -2*w - 40 + 369, 499 = 3*w - 4*h. Calculate the greatest common divisor of w and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 16 and 1564?\nAnswer: 6256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1317 + -1304. Calculate the highest common factor of v and 1079.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10163550 to the nearest integer?\nAnswer: 3188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4 - -15) + (10 - (14 + 9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 0*f**3 + 5 + 0*f**3 + 23287*f**2 + 2*f**3 - 23296*f**2 - 4*f as c*f**2 + y + q*f**3 + l*f and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -65 + 109. Calculate the highest common divisor of 22 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -12821822, -25643648, -38465476, -51287306, -64109138, -76930972?\nAnswer: -89752808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 2*m**2 - m - 12. Let w be j(0). Let u be 1\/w*-9 - 2002\/(-8). Let h = 1546 + u. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Are 3614 and 940\/43 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -135 = -80*j + 71*j. Let k(i) = i**3 - 12*i**2 - 5*i + 11. Is k(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 207 and 16077?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/9, -4, -0.3, 849 in increasing order.\nAnswer: -4, -0.3, 2\/9, 849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 102\/4 + 6\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 j when two letters picked without replacement from yeqygejjee.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -18 (base 15) to base 4.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6 - ((-40)\/(-10) - 3) - -19903?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is c in -c**3\/2 + 9*c**2\/2 = 0?\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 66613*z**4 + 4*z**3 - 967*z**2 - z - 44?\nAnswer: 1598712*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cccbcbcccb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 2402698 a multiple of 637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 154189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -121076*l**2. Let v(g) = 5520*g**2. Determine f(v(p)).\nAnswer: -3689234150400*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -336 (b) 130 (c) 3 (d) 0.5 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand -10*l + 22*l - 16*l + (1 - 3 + 3)*(0*l - l - l).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 713888, 713886, 713884, 713882, 713880, 713878?\n\"Answer: -2*f + 713890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -m**2 - m + 2. Let a be k(-4). Let x = a - -14. Calculate the remainder when 23 is divided by x*(-5)\/((-15)\/6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.035, -6, -0.3, 1?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3\/(-12)*(20 - 26). Which is the nearest to r? (a) -1 (b) -3\/7 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1.6, 4, -0.5, 5, 2\/9, 0.039?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - z = 9. Let i = z + -1. Suppose t = -i*t + 5*f + 20, 4 = -4*f. Solve -t*x = 3*u + 23, -5*u - 1 - 16 = 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 9425.229 nanograms?\nAnswer: 9.425229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*u**2\/5 - 103282*u\/5 - 14112096\/5.\nAnswer: -2*(u + 137)*(u + 51504)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = b**2. Suppose 0*l + 10*l = 30. Let u(g) be the first derivative of 1 + 0*g + 0*g**2 + 4\/3*g**l. Calculate u(i(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = -0*g + 8, -4*g = 5*o - 131. Suppose 11*k = 12*k - 2*c - o, 4*k - 3*c = 87. Let u = 352 - 207. What is the remainder when u is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the third derivative of 35*t**2 + 0*t**6 + 4\/105*t**7 + 0*t + 0*t**3 + 7\/12*t**4 + 0 + 0*t**5. What is the second derivative of u(a) wrt a?\nAnswer: 96*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 9477, 9491, 9505, 9519, 9533, 9547?\n\"Answer: 14*r + 9463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 24*y**2 - 1249*y + 99. Let m be v(52). Solve 17*h + m = -21 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 627 minutes after 5:31 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/(66\/9)*(-8 - -12). Let 0 + k*c**3 - 6\/11*c**2 - 2\/11*c**4 + 2\/11*c = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 8749, 34335, 76995, 136741, 213585, 307539, 418615, 546825?\n\"Answer: 2*w**3 + 8525*w**2 - 3*w + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2611280?\nAnswer: 2, 5, 7, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 52591*f**2 - 29*f + 95. Is n(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -1353.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Do -7386 and -7386 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8)\/((-8)\/(-6)*-61*(-2232)\/(-744))?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 34 + 86 = 15*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from {k: 2, e: 2, s: 1, o: 1, b: 2, d: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 488 is divided by 172.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3258 is divided by 1070?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -23634.935 rounded to the nearest integer?\nAnswer: -23635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*(m*m**(-1\/23))\/m*m)\/m)**(3\/11) assuming m is positive.\nAnswer: m**(6\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 40 and -0.8?\nAnswer: 40.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) be the second derivative of 4*h**6\/15 + 3*h**5\/10 - h**4\/6 - 2*h. Factor c(u).\nAnswer: 2*u**2*(u + 1)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1\/19 - -29\/171. Let l = 28 + -23\/3. Find the common denominator of w and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (180\/(-105))\/(-1 + 151\/154). Let v be 108\/14 - (-2)\/7. What is the greatest common divisor of v and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -6, 0.56, -3, 0.078 in descending order.\nAnswer: 5, 0.56, 0.078, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = 3*f + 2. Let m(a) = 5 + 0*a**2 + 2*a**2 - a**2 + a**f - 10*a. Is m(4) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 1507 (b) 0.36 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*b + 3*b + 2*b**2)*(b**2 + b**2 + 0*b**2) - 21*b**4 + 123*b**3 - 123*b**3.\nAnswer: -17*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1498 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 1.6 minus -1.805?\nAnswer: 3.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 96\/7 of a week?\nAnswer: 2304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 529, 533, 547, 577, 629, 709, 823, 977?\nAnswer: 1177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1264\/(-18) - (-10)\/45. Let g be ((-10)\/k)\/((-1)\/(-7)). Suppose 4*q + x + 2 = 15, -5*q = 2*x - 20. Solve g = h - q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 51774000 to the nearest 1000000.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 792?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 25724 and 81532?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -w**3 - 128*w**2 + 16*w + 2047. Let l be y(-128). Which is the second biggest value? (a) l (b) 0.1 (c) 37 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1722\/(-6232))\/((-30)\/285).\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -46*h + 20*h + 16*h - 151*h as r + w*h and give w.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1021 and -4.\nAnswer: 4084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -8*u - u**2 + 0*u**2 + 9*u + 7*u**2 + 36*u. Let y(f) = -1726 + 1726 - 2*f**2. Determine r(y(h)).\nAnswer: 24*h**4 - 74*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 18 and 89381034.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 29 - 44. Let c = 72 + b. List the prime factors of c.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 28 and 1713418?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 822290 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 36 divide 17010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = c**2 - 9*c + 4. Let l be (18\/(-12))\/(2\/(-12)). Let f be h(l). Calculate the greatest common factor of 20 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 2, d: 11, k: 7}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-48)\/(-2)*(150\/9 - 16). Let h(c) = -10*c**2 - 26*c + 16. Let j(b) = -2*b**2 - 5*b + 3. Let o(t) = t - 1. Let u be o(-2). Give k*j(v) + u*h(v).\nAnswer: -2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/3? (a) 0.5 (b) 0.1 (c) -9 (d) 0.0521\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -11644675 - 38?\nAnswer: -11644713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*k = 36640 + 26633. Is 35 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find x such that 2*x**4\/13 + 108948*x**3\/13 - 871674*x**2\/13 + 2070292*x\/13 - 1307568\/13 = 0.\nAnswer: -54482, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) be the first derivative of -46 - 9\/2*k**2 + 0*k**6 - 5\/3*k**3 + 9\/5*k**5 + 0*k**4 + 1\/7*k**7 + 0*k. Find the third derivative of h(x) wrt x.\nAnswer: 120*x**3 + 216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -3 + -74a?\nAnswer: -751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -6*a**3 - 5*a**2 - 5*a - 2. Let l(h) = 9*h**3 + 8*h**2 + 8*h + 3. Let f(r) = -5*l(r) - 8*v(r). What are the prime factors of f(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1555000 rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16903?\nAnswer: 16903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*g + 5*j + 10, 0 = 5*g + j + 2*j + 16 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-34)\/17)\/(8\/286 + 8\/52).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -1452, -1458, -1474, -1506, -1560, -1642, -1758, -1914?\n\"Answer: -z**3 + z**2 - 2*z - 1450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -14578, -29151, -43720, -58285, -72846?\n\"Answer: 2*k**2 - 14579*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -295, -910, -1525, -2140, -2755?\nAnswer: -3370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v + v - 9 = 0. Let q(z) = -v - 4*z**2 + 16 - 7. Let a(p) be the first derivative of -p**2 - 1. Give a(q(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:32 AM and 7:21 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -j + 2*j - 2*c - 10, 5*c = 5*j - 35. Suppose j*u - 148 = 52. Let i = 9 - -1. What is the greatest common divisor of i and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -22, 323, 0, -476 in descending order.\nAnswer: 323, 0, -22, -476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(165) - -6*2*sqrt(165))\/sqrt(3))\/((-3*sqrt(88)*-5)\/sqrt(8)).\nAnswer: 13*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 592 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*y - 3*q - 9, 7*y - 2*y = 5*q - 5. Calculate the common denominator of (-116)\/12*-2*y\/(-36) and 70\/9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*w + 11297 = -0*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 120301 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 72 (b) -0.3 (c) -1\/4 (d) -148.3 (e) -3\/7 (f) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7 - 2 - 409*t + 8 + 1 to the form d*t + o and give d.\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (33*q**4 + 69*q**2 - 69*q**2)*(-q - 3*q + 5*q) + (0*q**2 + q**2 + q**2)*(332*q - 332*q + 88*q**3).\nAnswer: 209*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 176*b = 186*b. Suppose -u + 3 = b, -3310 = -16*r + 12*r - 2*u. List the prime factors of r.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4 and 1360.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2874403*h**2*k - h*k + 9*h + 57*k + 115 wrt h?\nAnswer: -5748806*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -25 - -27.1. Let l = -2.09999966 + t. Round l to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 149758 is divided by 195.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) be the third derivative of -1\/2*p**3 + 0 - 3\/40*p**5 + 0*p - 1\/12*p**4 + 18*p**2 + 1\/360*p**6. Let k(z) be the first derivative of r(z). Give k(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 7, c: 10, k: 1}. What is prob of picking 1 k and 1 c?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 27671199 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 324 - 324. Let s be ((-16)\/(-20) - (d + 1))*1. Let b = -1 + 5. What is the closest to -1 in s, -0.1, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 2 = -2*o + 3*v, -3*o = -5*v - 1. Solve 12 = o*t + t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 289117363 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 5513 smaller than 5515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -830346650 divided by -14.\nAnswer: 59310475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 337059 is divided by 78?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z - 27*p + 13 = -30*p, -p + 9 = -2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wwr when three letters picked without replacement from {r: 1, d: 4, w: 3, c: 11}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-12)\/8 - -2 - (-10)\/4. Solve 5*c = j + 25, -c = -a*c + 3*j + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*h + 24 = -0. Let j(o) = o. Let d(z) = 55*z + 9. Let b(t) = h*j(t) + d(t). Differentiate b(p) with respect to p.\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/(k*k**(-4\/3)))\/(k*((k\/k**(-5\/2))\/k*k*k)\/k*k))\/(k**(2\/17)\/(k**3\/k)) assuming k is positive.\nAnswer: k**(-233\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 599034199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -0.003230459 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -44 - -1cc20d?\nAnswer: 1cc1b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify m\/m**12*m*m**(-1\/6) assuming m is positive.\nAnswer: m**(-61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express -160*q**2 - 7 - 42*q**2 - 52*q**2 - 33*q**2 - 131*q**2 as m + o*q + g*q**2 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 8.910861 rounded to one decimal place?\nAnswer: 8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -7814, -62013, -209118, -495581, -967854?\n\"Answer: -7742*a**3 - a**2 - 2*a - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Let a(w) be the first derivative of -w**4\/4 - 5*w**3\/3 + 9*w**2\/2 - 2*w + 3. Let f be 6\/14 - 416\/56. List the prime factors of a(f).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -22 + 35. Let f(d) = d**3 + 2*d**2. Let g be f(1). Solve 0 = g*w + p - z, -10 - 9 = -w - 4*p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 20.3132 to 0 dps.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 142332925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.05338*2224.\nAnswer: -118.71712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -1000 (base 2) to base 10\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 253, 2, -3, 0, -5 in decreasing order.\nAnswer: 253, 2, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(-7\/3))**(-49)*((l\/((l**(1\/11)\/l)\/l))\/l*l)**(-3))**(6\/11) assuming l is positive.\nAnswer: l**(6970\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -32, -92, -222, -446, -788, -1272?\n\"Answer: -4*a**3 - 11*a**2 + a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -436 - -435.9658. Let q = 6.1558 - z. What is q rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 145*u - 439. Let f be v(3). Sort f, 5, 0, 4, -25 in ascending order.\nAnswer: -25, f, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/3, -0.04, 123 in increasing order.\nAnswer: -0.04, 1\/3, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 24\/2 - (2 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 77.4426 weeks to nanoseconds.\nAnswer: 46837284480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -8435809*u + 24147213 wrt u?\nAnswer: -8435809","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 15*l - 5. Let j(d) = 8*d - 2. Let u(k) = 2*f(k) - 5*j(k). Let b(c) = -2*c. What is u(b(v))?\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -12*t - 7. Solve -2 = 4*q - t*o + 5*o, -5*q + 5*o - 25 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 780*f - 390*f - w = 386*f + 3, -3*f - 71*w = 500 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -8*d**3 - 69*d**2 - 83*d - 91. Let a(w) = -4*w**3 - 34*w**2 - 42*w - 42. Let m(u) = -13*a(u) + 6*z(u). What is n in m(n) = 0?\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 315 minutes before 11:03 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = t**3 + 44*t**2 - 231*t - 41. What is the remainder when k(-36) is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4635 and 976680?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: ((-38)\/(-2) - 10) + 609\/(-70)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 7 in 107, -0.2, 3\/2, 3, 85?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 = 2*w - 3*n - 15, 4*w + n - 4 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 48 - 84. Is o less than -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find w such that 5*w**5\/6 + 3436*w**4\/3 - 666737*w**3\/6 - 2265472*w**2\/3 - 284210*w = 0.\nAnswer: -1465, -6, -2\/5, 0, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 31549 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/(50\/40*3\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3939250 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 21 - 21. Suppose r = -10*k + k - 1089. Let v = k - -130. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 218285 divided by -2\nAnswer: -218285\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -f**2 - 4*f + 19. Let v be (0 + -8)\/(4\/64*(-48)\/(-3)). Calculate d(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -620*c**2 + 3*c + 1018*c**2 - 532*c**2 - 3*c.\nAnswer: -134*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = -33 - -38. Suppose -30 - 30 = -5*l - d*y, 2*y + 95 = 5*l. Differentiate 3 - 8*h + 21*h - l*h + 0 with respect to h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*j + 12*j. Suppose -3*c - 27 = -j*c. Let k = c + 13. Calculate the remainder when 11 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 408 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -14 - -46\/3. Let w = 66 + -68. Let q = -102 - -121. Sort q, v, w in ascending order.\nAnswer: w, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 12*a**2 - 6*a**2 + 14*a**2 + (-2*a + 2*a**2 + 2*a)*(-3 + 3 + 1).\nAnswer: 22*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.113 + 0.043. Which is smaller: 1\/4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 49\/525*33\/((-1386)\/(-12)).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 12, -17, -100, -261, -524, -913, -1452, -2165?\n\"Answer: -4*o**3 - 3*o**2 + 8*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 86 take away 399?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 236 minutes before 11:08 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 151078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -1, 12, 129, 3, 4, -2 in descending order.\nAnswer: 129, 12, 4, 3, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 32100 (base 6) to base 16\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1 - -5. Suppose 0 = -2*u + n*u. Suppose -3*d + 3*b = b - 3, -20 = 5*d + 5*b. Is d less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -5624*a. Let n(r) = r**2 + 42. Calculate y(n(q)).\nAnswer: -5624*q**2 - 236208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 149789, 299577, 449365, 599153, 748941?\nAnswer: 898729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -17217 + 33217. Round n to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -23*r**4 + 25*r**2 + 178*r?\nAnswer: -276*r**2 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*x + 9*x + 16. Suppose 2*j = 3*j - 3. Suppose o - x = -j*o. Solve -2 = 3*n + o*q + 2, 2*n - 3*q = -7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 2, d: 7, i: 3, m: 5}. What is prob of picking 1 d and 2 m?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100011110100 - -10011?\nAnswer: 100100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = 118 + -114. Let b be n\/((-12)\/(-339)) + (-12)\/(-4). Let g be b\/(-154) + (-4)\/(-22). Put -5, 0.5, 2\/3, g in ascending order.\nAnswer: -5, g, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 0 + 5*s - 3*s + 2*s - 3. Suppose -2*a - 20 = 3*a. Let f(b) = 0*b - 4 + 6*b - b. Determine a*d(q) + 3*f(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 420191?\nAnswer: 420191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 245*m. Let d(i) = -8880*i + 4433*i + 4456*i. Give h(d(w)).\nAnswer: 2205*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j**(-8\/7)*j)\/j)**(2\/3)*j*j\/(j*j**(-4\/15))*j*j*j**(1\/17)\/j)**34 assuming j is positive.\nAnswer: j**(5582\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 5 - 5)*(-1000*r**3 + 2945*r**3 + 3313*r**3) to the form i + m*r + j*r**2 + c*r**3 and give c.\nAnswer: -5258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 35\/21*((-88)\/(-32) - 1 - 2)?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*(m\/m**(-2\/13)*m)\/m*m*m*m**7)\/(m\/((((m\/(m\/(m**(-4)\/m)))\/m)\/m)\/m)*m**(-6\/5)) assuming m is positive.\nAnswer: m**(218\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0311451504 rounded to three decimal places?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 2 - 3)*(-o**5 + 4*o**5 - o**5) - 283*o + 283*o + 2*o**4 + 278*o**5 + 3*o**5 + o**5 - 3*o**5.\nAnswer: 277*o**5 + 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 464040 or 464070?\nAnswer: 464070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.05, -5\/4, -23355.\nAnswer: -23355, -5\/4, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -13*c**3 + 5*c**2 + 2473*c - 5. Let a(m) = 8*m**3 - 3*m**2 - 1237*m + 3. Determine -5*a(j) - 3*r(j).\nAnswer: -j**3 - 1234*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -278, 0.05, 3 in descending order.\nAnswer: 3, 0.05, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 103*m - 906 = 742 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -10*r + 28. Let p be g(-19). Suppose -4*a = 4, -3*a - 1 = 4*f - p. Put f, 2, -5 in increasing order.\nAnswer: -5, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0073497996 to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 53757 (base 11) in base 4?\nAnswer: 103010123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from booosssobbosbbo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Add -3 and 110790.\nAnswer: 110787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1)\/(-4) + 34\/(-8). Let i = a + -19. What is i rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -5*o**2 + o. Let b(m) = 28*m**2 + 4*m. Give -b(d) - 5*g(d).\nAnswer: -3*d**2 - 9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 1416*v + 147*v - 18*v - 106*v in the form c + b*v and give b.\nAnswer: 1439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-26 + 72 - 21)*(-4*l**2 + 2*l**2 + 0*l**2) + (-4*l + l + 5*l)*(5*l - 3*l - 3*l) - 3*l + 3*l - 2*l**2 - 6*l**2 + l**2 + 3*l**2.\nAnswer: -56*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -12*v**3 - v + 1. Let y(a) = -a + 1. Give -r(x) + y(x).\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -v**3 - v**2 - 1. Let u(x) = x**2 + x + 3. Let i(o) = 3*s(o) + u(o). Let h(l) = 16*l**3 + 11*l**2 - 6*l. What is -4*h(t) - 22*i(t)?\nAnswer: 2*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = 6*y - 3*y + 8, 5 = g. Let v be 5\/(-5) - (-7)\/5. Which is greater: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 6\/15 + (-18)\/(-405)*36. Solve -2*l + 4 = -4*j, 4*j + 4*l = -w + 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.057 * 230666\nAnswer: 13147.962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -83\/27104 and -117\/60032.\nAnswer: 7263872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 128 divide 14628096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 11*k**3 + 3*k**2 - 3. Let h(a) = a**3 - a**2 + 1. Calculate -3*h(u) - t(u).\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-104)\/(-39) + -2)\/(2\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -111862, -111863, -111864, -111865, -111866?\n\"Answer: -u - 111861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2345 is divided by 1159.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -67*p + 87*p - 67*p - 12*p - 76*p + 2*p.\nAnswer: -133*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 148*d + 932 = -79*d + 4110 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -112 + 197. Suppose 332 = 15*f - 418. Suppose -53*g = -f*g - 51. What is the highest common factor of q and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = 5*z - 5*n, 4*z = -3*n. Suppose z = -2*k - 50. Let g = -23 - k. Solve -g*o = -3*i - 14, 5*i + 15 = i - o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14631065 a multiple of 448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(19)*-2 + -4)*5.\nAnswer: -10*sqrt(19) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 393, 2, 6, 147, -3.\nAnswer: -3, 1, 2, 6, 147, 393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w**2 + 11620*w - 11624 = 0 for w.\nAnswer: -2906, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express 4*c**3 + 0*c**3 + 14 - 3*c**3 + 4 as f + j*c + v*c**3 + a*c**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 135 - 29625*y + 185 + 7893*y.\nAnswer: -21732*y + 320","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -13940, -13941, -13942, -13943, -13944, -13945?\n\"Answer: -i - 13939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/5? (a) 0 (b) 5 (c) 654\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 137760 and 3945676.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4\/13 - -71\/104. Let t be (-36)\/45*1\/(5\/25*-1). Which is the nearest to -3? (a) -1 (b) j (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 25\/6629 and 26\/3?\nAnswer: 19887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -89\/72 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 448 minutes after 10:00 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) be the second derivative of -t**3\/2 - 138*t. Determine q(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 90 minutes before 5:39 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*g - 36 = 4*a, -189118*a + 189123*a - 5*g = -5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2, -1194, 5, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -211202122 (base 3) to base 4.\nAnswer: -10003103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 33973325.75 to the nearest 10000.\nAnswer: 33970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = 74 - 52. Let j = -18\/17 - -241\/51. Calculate the common denominator of v and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of ((-26)\/(-8))\/(13\/5720*10) and 4?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1169039994 a multiple of 467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-21)\/(-15) - 1)\/((-6)\/180). Let q be 1 - -1 - (100\/r + 10). Which is the smallest value? (a) q (b) 1\/4 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 362*b + 1087. Let y be k(-3). Put -13, -5, 2, 4, y in decreasing order.\nAnswer: 4, 2, y, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*a**4 - 141*a**3 + 774*a**2 - 1500*a + 984.\nAnswer: 3*(a - 41)*(a - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 5*z = -152041, -3*z - 121179 + 19817 = -2*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -91\/288 and -65\/75408?\nAnswer: 452448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/8, 0.06, 0.4, 0.47, -5, 0.\nAnswer: -5, -3\/8, 0, 0.06, 0.4, 0.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let -75*j**5\/7 - 115365*j**4\/7 - 1512942*j**3\/7 - 4866810*j**2\/7 + 1513017*j\/7 + 4982175\/7 = 0. What is j?\nAnswer: -1525, -33\/5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = -543\/5 - -109. What is the biggest value in v, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = 5*a - 30, 5 = 2*l - 2*a - 7. Suppose -5*q + 0 = -l. Let s(v) = v**2 - v. Let r be s(q). Solve -j - r = -1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.05, -0.5, -5330, -130, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*j**4 + 826*j**3 - 4*j**2 - 6240*j?\nAnswer: 36*j**2 + 4956*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3739839230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 - (-17 - (13 + (3 - -10))).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 + 22 = -4*x. Let u(b) = 5*b**2 - 9*b - 11. Is u(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 185698 is divided by 463.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x be 247\/(-221) + (0 - 0) + 1. Is -11 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 250 - 359 = 83*x + 1302 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14 + (-7 - 0 - -1) + (2 - 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 71 divide 1031412993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = s**2 + 5*s + 8. Suppose -b - 4*b = -10. Suppose 3 - 15 = b*d. What is the tens digit of t(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 288 and 288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 243*m + 470*m + 263*m + 14 - 1037*m.\nAnswer: -61*m + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 840 and 3425898.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 47064.82 grams?\nAnswer: 47.06482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 3*o = 0. Suppose 4*i - 3*i - 4 = o. Suppose 8*q - 5*q - 2*c = 87, 5*q + i*c = 123. What is the greatest common factor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1841 is divided by 592.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-3300)\/240*(-40)\/50. Solve 8*v - 24 = f*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6212 and 221109928?\nAnswer: 6212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 26*n + 148*n**3 - 3*n**4 - n**2 + 25*n**3 + 7*n - 33*n + 2 as a*n**2 + p*n + m*n**4 + q + d*n**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 2*u**3 - 8*u**2 - 390*u + 1902. Determine b(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 37924371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 189 = 182*o - 1085 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -24 + 28. Calculate the least common multiple of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 195502, 195475, 195446, 195415?\n\"Answer: -l**2 - 24*l + 195527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f*f**16*f)\/f*f\/f**(5\/6))\/(f**(2\/5)\/f)**(8\/9) assuming f is positive.\nAnswer: f**(187\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -2 - 162*r + 159*r - 5. Suppose -10 = -3*u + 5*u. What is w(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10768 is divided by 10760.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((16\/10)\/(-4))\/((-1)\/10). Let x = 7 + -10. Sort -1, p, x in decreasing order.\nAnswer: p, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -2*t**2 - 6. Let u(i) = -3*i**2 - 7. Give 5*g(m) - 4*u(m).\nAnswer: 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 100 divide 44885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:41 AM and 3:00 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (577*m + 645*m - 7 + 635*m - 1945*m)*(m**3 - 2*m**2 + 2*m**2).\nAnswer: -88*m**4 - 7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -34 + -20420?\nAnswer: -20454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5*(-8)\/(-76))\/(-11 + 5 + (-6 - -14))?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -1264 divided by 16\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*g**4 - 2*g**4 - 5*g**4 + 4*g**4 - g**4 - 4*g**4 + (2*g - 2*g**2 - 2*g)*(-3*g**2 + 2*g**2 + 2*g**2).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide -30536532 by -7634133.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 4*n**5 + 2*n**4 + 2*n**3 + 2. Let o(z) = 4*z**5 + 3*z**4 + 3*z**3 + z + 3. Let c(r) = 3*g(r) - 2*o(r). What is the second derivative of c(w) wrt w?\nAnswer: 80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 696 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = a + 7. Let u(d) be the second derivative of -d**7\/252 - 13*d**4\/4 - 20*d. Let h(m) be the third derivative of u(m). Let n be h(1). Give z(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -x**3 + 6*x**2 - 4*x - 2. Let i be w(5). Suppose 4*g = -i*m + 3, -4*m - 3 = 4*g - g. Let z = m - -10. Solve t - z = 5*s, s + 4*t + 6 - 13 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -131 - -134. Suppose 5*o + 5*q - 418 = 1312, 0 = -5*o - r*q + 1726. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.567696320619 from 33.\nAnswer: 32.432303679381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 172 - 47 - 101 + 55*g**2 - 57.\nAnswer: 55*g**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 34, 8, 0, -10 in descending order.\nAnswer: 34, 8, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + -5 - (-6 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 5*f**2 - 6. Let n be h(-4). Suppose -n = -3*t - 158. Round t to the nearest integer.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.0062 + -1.0062. What is the nearest to s in 0.5, -6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*f + 2*f + 4*v = 34, 2 = f - 3*v. Let u = f - -18. Let n = 46 + -6. Calculate the highest common factor of u and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.2 and 469716.\nAnswer: 93943.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 2010199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 2*u**2 + 29*u + 102. Let p be j(-12). Let m = p - -317. What are the prime factors of m?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -3.1261 * -5\nAnswer: 15.6305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, a: 6, t: 7, m: 5}. Give prob of picking 2 t.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dpd when three letters picked without replacement from {y: 1, d: 2, p: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d = 3 - 9. Suppose -19 = -3*c - 7. Suppose 4*m - c = -2*r + 2*m, 0 = -5*r - 3*m + 10. Solve -p = y - 6*y - 10, -r*y + 9 = -d*p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*v - 1457*v + 20240 + 11594 = 0 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.138337983 to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3970 is divided by 53?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -50374675*i**2 - 24918499 with respect to i.\nAnswer: -100749350*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -15*w**3 - 5*w**2 + 5*w - 5. Let d(a) = -7*a**3 - 3*a**2 + 3*a - 3. Determine 5*d(c) - 3*y(c).\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -12*g**5 - 21*g**4 - 53*g + 175 wrt g?\nAnswer: -240*g**3 - 252*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v\/((v**0*v)\/v*v))\/v)**(-2\/9)*v**(11\/5)*v**(-2\/3))**(-2\/43) assuming v is positive.\nAnswer: v**(-158\/1935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 22 = -v. Let n be (-6)\/(-20) - (-25 + 1015\/50). Solve 0 = -3*h - 5*c + n, v = 4*c - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 182 is divided by 43.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4*(-20)\/60*1\/((-88)\/(-36)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q + 147640 = 44*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 50255.8ml to litres.\nAnswer: 50.2558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 22, 1, 0, -1.0584, -1, 6 in increasing order.\nAnswer: -2, -1.0584, -1, 0, 1, 6, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -10250*t**2 + 5*t - 2. Let u(x) = -x. Give u(s(f)).\nAnswer: 10250*f**2 - 5*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -194490, -777942, -1750366, -3111762, -4862130, -7001470, -9529782?\n\"Answer: -194486*h**2 + 6*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = 2*i - 7*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 243 minutes after 6:27 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 19180 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 86.6 smaller than -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 3 = 3*v, 5*v - 4*r - 22 = -0*r. Suppose -v*k - 20 = -5*f - 4, -4 = -f. Suppose -3*a + 5*x = -32, 5*a - 2*x = k*x + 49. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -3*b**2. Let q be ((-6)\/(-18))\/(2\/24). Let t(c) = -2*c - 4*c + q*c - 2*c. Give t(u(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or 4\/100671?\nAnswer: 4\/100671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -21567948 divided by -10783974\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lslalllsclllxslxlll. Give prob of sequence slxc.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) be the second derivative of 0 + 1\/6*m**4 + 1\/2*m**3 + 0*m**2 + 3*m. Find the second derivative of q(t) wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-16)\/4 + 3 - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 962524231 to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4217 - 4192.064. Let t = i + 0.064. Let h = 24 - t. What is the nearest to h in 2, -5, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 79464 divided by 2408?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x be (15\/(-9) - -1)*15. Let c = -17 - x. Let k(b) = -b + 7. List the prime factors of k(c).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (2*sqrt(102))\/sqrt(6).\nAnswer: 2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/12*21 + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 - (3 - (2 - -1)) - -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be 5\/(-2)*(-8)\/20 + 7. Let q(j) = 3*j - 2. Let m(o) = 4*o - 5 - 1 + 0 + 3. Give u*q(s) - 5*m(s).\nAnswer: 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) be the first derivative of u**6\/1800 + u**5\/150 + u**4\/30 - u**3 + 4. Let f(d) be the third derivative of k(d). Let f(y) = 0. What is y?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = 3 + 7. Let p = 388 - 2329\/6. Let d = -414 + 7864\/19. What is the closest to 0 in w, d, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hhhzzhzhzzzhzh. What is prob of picking 4 z?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 10912 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: What is the common denominator of -71\/30119300 and 41\/3011930?\nAnswer: 30119300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -106, -207, -308?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -7\/13, 1, 0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 11*k**2 + 34*k + 26. Let x be i(-2). Solve x*m + 4*g = 2*g + 18, -m - 4*g = -24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/8*3\/(-9)*-2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that 2*u**5\/7 - 4*u**4 - 42*u**3 + 392*u**2 + 2744*u = 0.\nAnswer: -7, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 - 3 = -5*s. Let a(o) be the first derivative of -1\/5*o**5 + 0*o**4 + 0*o - o**2 + o**s + 3. What is c in a(c) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*w - 4*w**3 + 91*w**3 + 90*w**3 + 48*w**3 - 16*w**3.\nAnswer: 209*w**3 - 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + sqrt(10)\/(3*sqrt(125) - sqrt(125)).\nAnswer: sqrt(2)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3 - -5. Let b = -4.8 + 4. Let f = b - -0.3. What is the third smallest value in f, r, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1617 + 65400760794.\nAnswer: 65400762411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1804*q**3 + 1800*q**3 - 5408*q**3 + 1799*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = 557 - 521. Let r(z) = -4*z - 16. Let n be r(-11). Suppose -l = -4*c + g, -5*c + 3*g = -10*c + n. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:57 PM and 1:30 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*m + 1 - 1 + (0*m - 2*m + 0*m)*(-1 - 1 + 1) + 2*m - 2*m - m - m + 4*m + m - 3*m + m + m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-8)*z**(-2\/3))**(-36))**(-32) assuming z is positive.\nAnswer: z**(-9984)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -457150 (base 8) in base 7?\nAnswer: -1214411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = 6*v + 10, -j = -4*v + 13. Let l be j\/23 - 3 - -4. Let y = 1 + -1. Sort -1, l, y in descending order.\nAnswer: l, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -11*y - 47. Let g be x(-4). Let o be (g + (-226)\/(-76))*(-64)\/1. Determine l so that -o + 16\/19*l - 2\/19*l**2 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.502 and 5331.\nAnswer: 5330.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 5, 432.\nAnswer: -5, 5, 432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d be 0*2*1\/4. Suppose d = 2*a - 5 + 3. Which is smaller: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -9609229*n**3 + 276*n**2 + 10*n + 20 wrt n?\nAnswer: -57655374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 4*a**2 + 3*a + 2. Suppose 4*x = 7*x + 6. What is the remainder when y(x) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 4*q - 7. Let r be z(3). Solve -s + 19 = 3*d, s - r*d + 3 + 18 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 8975*h - 8973*h - 4*m + 4, -18*h + m + 69 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -k + 6. Suppose 0 = 31*m - 26*m - y - 29, -5*m = -3*y - 37. Let b(r) = 1. Determine m*b(j) - g(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -293160 divided by 15.\nAnswer: -19544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*q = -8*q - 370. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 313*a**3 - 45024*a - 53211295 wrt a.\nAnswer: 939*a**2 - 45024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2\/89 - -85\/178. Let t = -21.79 - -22.29. What is the closest to a in -0.5, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 3647 (base 14) to base 16\nAnswer: 24ff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 3*r**2 - 47. Let x(o) = o**2 - 4*o - 6. Let u be x(6). Let q be i(u). What is the greatest common divisor of q and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**6\/l*l*l*l\/(l**(-2)\/l))\/(l**(2\/3))**(-18)*((l**(-2))**(-2\/39))**(-3\/7) assuming l is positive.\nAnswer: l**(2089\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17145 = 4*t - 2409. Let g = t - -33089\/9. What is the common denominator of g and -39\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -33*w + 5*d = -31*w - 90, -11*w + 3*w + 5*d - 15 = -75 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -8\/85 or -1?\nAnswer: -8\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -335 - 11*j + 331 + 71*j**3 - 5*j wrt j?\nAnswer: 426*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 70 and 11715.\nAnswer: 164010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z be 7\/(-8 - 323\/(-57)). Sort z, -13, 5, -2, 4.\nAnswer: -13, z, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1077560510 - 2?\nAnswer: -1077560512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 4*d + p, 5*d - 3*p + 4 = 3. Let m be 20\/(-66)*(-3)\/15. Which is smaller: m or d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -28812 - -46646. Is 241 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 1769*a*r + 3*a*w - 1257*r*w**3 - 3070*w**3 - 493*w**2 wrt r.\nAnswer: 1769*a - 1257*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 39 a factor of 47697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6322 is divided by 162?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5408783 is divided by 5408774?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000028110564713 to seven decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = 136 - 124. Let v = -8 + h. What is the highest common factor of v and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = u - 3. What is the nearest to u in 3, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -188 - -106. Let j = -155 - q. Let n = 73.00058 + j. Round n to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*v = -u - 8, 0 = -v + 480*u - 483*u - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = w**3 - w**2 - 11*w + 7. Let h be q(-3). Put -0.1, 3\/2, h, -0.4 in ascending order.\nAnswer: -0.4, -0.1, 3\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1810, -1\/6, 2\/103, 5\/2, -1\/5?\nAnswer: 1810","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qlu when three letters picked without replacement from {u: 1, h: 6, s: 4, v: 1, l: 3, q: 5}?\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -17? (a) -9 (b) -1 (c) 9\/7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1.893 + 0.893. Let p = -2 - -5. What is the third smallest value in -10, p, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (4 - 2) + (3 - 10) - (57 + -58)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-33 + 30)*(899\/(-3) - 2) is divided by 65?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5818 - -5776 - (0 - (0 + 9 + 1)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 39.0271 + -0.0271. Let x = f + -38.9998944. What is x rounded to six dps?\nAnswer: 0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -73\/53504 and -11\/194560.\nAnswer: 2140160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = 37388 - 35964. Put 2, q, 5 in descending order.\nAnswer: q, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 735020\/7 equal to 105003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = w**2 - w - 2. Let s(o) = 3*o**2 - 2*o - 8. Let n(t) = 2*f(t) - s(t). Let n(x) = 0. What is x?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that -5*l**2 - 2068905*l - 4137790 = 0.\nAnswer: -413779, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express 952 + 8*a + 2*a - 926 as c + d*a and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1974, -1973, -1972, -1971, -1970, -1969?\nAnswer: -1968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 298952 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/6 + (-52)\/(-6). Let m be -6*(4 - (-11)\/(-3))*(-2)\/1. Suppose m = -w + f. Solve -i + 14 = w*o + 2*i, -4*i = o - 13 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 188046326.63 to the nearest ten thousand.\nAnswer: 188050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.3, 16, -5, -600, -0.3?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 52\/549 and (-4961)\/(-792) + (-24)\/(-216)?\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen quarters of a century in years?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4 + -2153841a?\nAnswer: -21538416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wwqrqpwqppwqq. Give prob of sequence wr.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a be -2 - (-1 + (-219)\/171). Let p = 118\/285 - a. Put 4, p, 5 in decreasing order.\nAnswer: 5, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1170872.\nAnswer: 2, 146359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1.113 rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 13*s**3 + 3*s**2 - 7*s + 5. What is n(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -58 + 103. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -2081*s**3 - 6*s**2 - 6*s - 5. Let h be q(-5). Round h to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (0 - (-78)\/24)*932. Suppose u = h + 12*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 40552303, 40552302, 40552301, 40552300?\nAnswer: 40552299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 121482805.\nAnswer: 5, 24296561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - f = -5 + 6, 16 = 4*a + 3*f. Let v(q) = -32*q + 4. Let i be v(a). Is (12\/28 - (-166)\/i)*-206 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7401 = 5*i + 7396 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 27*y**2 + 5*y + 1. Give o(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4*-1*(-3)\/(-48)*-10.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the third derivative of 2*m**2 - 7\/180*m**5 - 1\/36*m**4 + 0 + 0*m + 0*m**3. Factor c(k).\nAnswer: -k*(7*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 4*(sqrt(11) - (-1 + sqrt(11))) + -1 - (-4*2*(0 + sqrt(11))*3)**2.\nAnswer: -6338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 140 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 2\/15, 16, -4, 1.29, 0 in decreasing order.\nAnswer: 16, 5, 1.29, 2\/15, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zznnsxvyy. What is prob of picking 1 n and 1 v?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = -128.02 + 156.97. What is the third smallest value in -2, 5\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 16 = 0, -6*r + 10*r + 12 = -h. Suppose a + 3 = h*b, 2*b - 7 = -a + b. Solve n + 8 = a*s, -2*s + n + 2 = -3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -15*r**2 + 512*r - 35. Calculate t(34).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(1\/4))**(-10)\/(z**(-3))**(-8\/13))**3 assuming z is positive.\nAnswer: z**(-339\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 445 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) be the first derivative of -3*j**2\/2 + 5*j + 12. Let b be q(2). Is -1\/60 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -5*h + 4. Let o be s(-6). What is the tens digit of -1 + (o + 2)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/(b\/(b**(-2\/11)\/b))*b*(b*b\/((b\/(b**(-10)*b)*b)\/b)*b)\/b*b)**(5\/19)*((b*(b\/(b\/(b**(-11)*b)))\/b)\/b**(4\/11))**(-6\/23) assuming b is positive.\nAnswer: b**(3911\/4807)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -6*a - 10. Let n(b) = -130*b + 259. Let r be n(2). What is h(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14\/(-91) + 15942\/26 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence att when three letters picked without replacement from {a: 2, t: 8, n: 2}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i - 14 - 35 = 5*c, -c + 7 = -5*i for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -98 (base 12) to base 9.\nAnswer: -138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -71 divided by 486230.\nAnswer: -71\/486230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 11*y**2 + 3*y - 3. Let k be p(2). Let x = 49 - k. Suppose -2 - x = -j. Solve -j*l = -14 - 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 164 a factor of 3147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 10699*z + 533 = 10812*z + 2906 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 165853222 to the nearest integer?\nAnswer: 12878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express 21*c - 12*c + 32*c + 73*c as i + h*c and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 33\/2 and 3 - (-4 - (-36)\/(-40)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*z + 0*z + 0*z)*(z - 7*z + 2*z) + 99 - 99 + 5*z**2 + (4*z + 4*z - z)*(0*z + z + 0*z) to the form b + f*z**2 + h*z and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4 + -7. Let c = -133 - -112. Let a = c + 21.4. What is the second biggest value in 0.5, a, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 164810 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 145 or 3320\/23?\nAnswer: 3320\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2 - -7. Suppose -x*r = -3*i + 6, 2*i - 4*i = 4*r - 4. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -29 + (6 - 22) + 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-6)\/5*5\/1. Let a = l + 11. Suppose 0 = -n + c + 5, 5*n - 3*n - 24 = -a*c. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 121.00768 rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o = 0, -115*t + 2*o = -50*t - 56*t + 3 + 15 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -6 + 0 - 4*i + 0. Let j(d) = -2*d**3 + 3*d**2 - 1. Let t be 20\/30 + 8\/6. Let h be j(t). Determine m(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = l**3 + 17*l**2 - 15*l + 71. Calculate t(-18).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hxr when three letters picked without replacement from {r: 4, m: 1, g: 3, h: 2, x: 4, j: 1}.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -9*u - 4. Let y(h) = -8*h - 4. Suppose -19*l + 35 = -60 - 0. What is l*o(v) - 6*y(v)?\nAnswer: 3*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 2*n = 0. Let i(z) be the third derivative of n*z**3 - 4*z**2 + 1\/10*z**5 + 0 + 0*z**4 + 0*z. Let d(q) = q. Give i(d(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = 9973 - 9976. Which is the nearest to -2? (a) p (b) -0.1 (c) -94 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 694132.\nAnswer: 2, 97, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = 4*g + 94028, 159*r - 163*r = -2*g - 188068. Is r a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -2677562009 and 2.\nAnswer: -2677562007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*x + 392*x**2 - 17*x + 49*x + 38*x.\nAnswer: 392*x**2 + 80*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2.4 - 13.6. Let o = m - -12. What is the second smallest value in -2, o, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -30*z + 3325. Let p be w(0). Let h = p - 2164. List the prime factors of h.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -81*r**4 + 856 - 61*r**4 - 492 + 992 wrt r?\nAnswer: -568*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27380154 is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1 + -6741641?\nAnswer: -6741640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 8280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 + 12 = r. Suppose -3*f = r - 70. Let c be (-3)\/(-12) + f\/8. Solve -3*w + 31 = 5*q - q, -c*q = -5*w + 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*u + 5*t + 32, 3*t = 2*t - 4. Solve -n = -k + 3, u*k + 2*n - 10 - 2 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -38.53742*0.06\nAnswer: -2.3122452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 3*i**2. Let j(f) = -2826 - f + 2668 - f. What is g(j(z))?\nAnswer: 12*z**2 + 1896*z + 74892","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (v + 1 - 1)*(-84 + 84 - 33*v**2) in the form l + m*v + d*v**2 + h*v**3 and give h.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-60)\/(-14))\/(-6 - 522\/(-84)). Suppose 3*c - q = -29. Let i(f) = -f**3 - 6*f**2 - 1. Let z be i(-6). Sort 6, c, z.\nAnswer: c, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.066 (b) 4 (c) 26027 (d) -3 (e) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = 4*w - 10, x + w + 4*w = 20. Suppose 0 = -12*i - 18 - 54. Let b be 2\/8 + i\/24. Sort -4, x, b, -1.\nAnswer: x, -4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 2*k**2 + 6*k - 4. Let n(i) = i**3 + 11*i**2 + 2*i + 16. Let l be n(-11). Does 10 divide p(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve c - 5*o + 7 = 0, 0*c + 5*c = -o - 9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3 - -25. Calculate the highest common divisor of j and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 15843 + -15813. What is the remainder when 298 is divided by r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2*x + 2*x - 3*x)*(-2 - 1 + 1) + 3*x + 2*x - 3*x + 0*x + 2*x + 0*x)*(-x + 3*x - x + (4*x - 5*x + 2*x)*(0 + 0 - 2) + 3*x - 6*x + 2*x).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -2 - -1256335?\nAnswer: 1256333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = q**3 - 8*q**2 - 3*q + 3. Suppose -4 = -3*h + 2*h. Let g be f(h). Let a = g - -109. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 61904, 61764, 61624?\n\"Answer: -140*m + 62044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 533619686 to the nearest integer?\nAnswer: 23100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -w + 3*d - 3, -3*w + 3*d + 8 = -13. Calculate the remainder when 28 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29*q - 27*q + 295*q**2 + 80*q - 1112*q**2 - 23*q.\nAnswer: -817*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 2 m when three letters picked without replacement from smsmv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 100990, 201963, 302932, 403897, 504858, 605815, 706768?\n\"Answer: -2*x**2 + 100979*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -4*k + 38. Let f be u(10). Is -3 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*x - 2*x. Suppose x = -l - l. Suppose l*b = -5*b + 25. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) be the first derivative of 2*j**2 - 120*j + 16. Let x be y(30). Which is the nearest to x? (a) -2\/11 (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: What is -5 times -1938?\nAnswer: 9690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*m - 5*t = -m - 16, -m = -5*t + 19 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -p - m + 3 + 93, 3*m + 182 = 2*p. Let q = p - 40. Calculate the highest common divisor of q and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 87509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n**5\/3 - 34*n**4 - 5506*n**3\/3 + 13540*n**2 + 473213*n\/3 + 247230 = 0. Calculate n.\nAnswer: -27, -5, -2, 67\/5, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = -226 - -248. Calculate the greatest common divisor of 22 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 342 minutes after 7:09 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x = 9*q - 195, -2*x = -q - 2*q + 75 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) be the second derivative of p**5\/20 + 2*p**4\/3 + 7*p**3\/6 + 5*p**2 + 2*p. What is the smallest common multiple of j(-7) and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mddf when four letters picked without replacement from kgmdgdgdgwgmmf.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 8*z**2 - 3*z. Let r be j(2). Which is smaller: r or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -9.1 - -9. Let o = 0.5 + -0.8. What is the nearest to g in o, -2, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -701 or 1.8409?\nAnswer: 1.8409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v - 189 = -214 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 112300832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1432310?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:49 PM and 11:27 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -685*h**2 + 10*h + 10. Let j be k(-4). Let s = 16236 + j. Round s to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26*b**2 - 3*b + 10*b**2 - 97*b**2 - 2*b.\nAnswer: -61*b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1200 and 6675?\nAnswer: 106800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-84 + 86)*(-2)\/4*-5. Sort 38, -1, 0, z in decreasing order.\nAnswer: 38, z, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.002 take away 111038834?\nAnswer: -111038834.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -3 + 2*b**4 + 11*b + 3 + 66*b**3 - b**4 - 65*b**3 - 2*b**2 as q*b**4 + a*b**3 + s + m*b**2 + y*b and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z - 4*w - 1677 + 1742 = 0, 0 = 2*z + 5*w - 43. What is the highest common divisor of z and 1503?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 14 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-34)\/204 + -11*(-1)\/42)*6. What is the closest to 6\/5 in k, -1\/5, 33\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-5 - 73\/(-15)) + (-179)\/((-13425)\/1960)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5\/10*(-20)\/(-50)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sum 523 and -1860.65623.\nAnswer: -1337.65623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 254403 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -2*s**3 + 3. Let l(k) = -2*k**3 - 206 + 106 + 102. Give 2*a(g) - 3*l(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -203? (a) 30 (b) -6\/5 (c) 6 (d) -0.1 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -k**3 - 43*k**2 - 152*k + 163. Let c be w(-39). Solve 3*m + 8 = -c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 183669741 - 183669854.00000025. Let n = t - -113. Round n to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine t, given that -4*t**2\/3 - 71722*t\/3 - 35860\/3 = 0.\nAnswer: -17930, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w be (10\/(-8))\/(-2 + 441\/224). Let b be 54\/(-15) + (-16)\/w. Let z = 42 - 167\/4. What is the third smallest value in 5\/4, z, b?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 1 a when two letters picked without replacement from aenvnia?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = -20 - -143. Is 32 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 213367 is divided by 569?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 41304 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qcqcneqq. What is prob of sequence qc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 352 and 4160?\nAnswer: 45760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.03 in 5, -4, 55, -1\/2, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 2 u when three letters picked without replacement from aahauhhu.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 25816004087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = a**2 + 9*a + 13. Let x be q(-18). Let m be x\/(-55) - 2\/(-11). Which is smaller: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6213 divided by -6213.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 0*r**3 - 10*r**4 + 2 + 6*r**4 + r - 2*r**3 + 5*r**4 in the form p + o*r**4 + d*r + b*r**3 + k*r**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 7 + 74526?\nAnswer: 74535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -4\/45, -1344, 2.7?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from wkwkkwwwwwwwkwwwwww.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3 - -6. Suppose 20 = -5*s, -j + 2*s + 27 = -y*s. Solve 3*l - j = 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 3 * -0.16.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l be 0 - -1 - (-3 + -1). Suppose -a - l + 0 = 0. Let d(r) be the second derivative of r**3\/6 - 6*r. Give d(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3743 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yyyycyyyccyyyyy. What is prob of picking 1 c and 1 y?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 878900\/14100*9\/(-17).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15 + 0 + 15 + 591*g**3 - 337*g**3.\nAnswer: 254*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -31*l - 29. Suppose 15*t + 140 = -55*t. Let m be n(t). Solve 39 - m = -2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j**(-2\/7))**(-17)*((j**2*j)\/j)\/(j*j*j*j\/j**(5\/3))*(j**(2\/9)*j\/(j*j\/(j**(-2)\/j)))**(1\/8) assuming j is positive.\nAnswer: j**(-3263\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = 358 - 3703\/10. Let t = -2\/227 - -926\/2043. Calculate the common denominator of v and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.9 + 4.1. Suppose -n = -3, 0 = 2*j - 4*n + 2 - 66. Let i = j + -155\/4. What is the nearest to z in i, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -64 + 162. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -55\/57 and 50\/22071?\nAnswer: 419349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k, 1 z, and 2 c when four letters picked without replacement from zcgkkzgckzgc?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*g + 23 = 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.11, 0.2, 0, 1, 1\/4, 6 in decreasing order.\nAnswer: 6, 1, 1\/4, 0.2, 0.11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) be the first derivative of f**3\/3 + 4*f**2 + 16*f - 11. Factor z(w).\nAnswer: (w + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 54445736 and -73.55.\nAnswer: 54445662.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -55 divided by 8\nAnswer: -55\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -18, -2, 16, 30, 34?\n\"Answer: -y**3 + 7*y**2 + 2*y - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0119807531 to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = -652 - -443. Let s = -204 - m. Which is the closest to -0.1? (a) s (b) -1.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 517 - 517. What is the third biggest value in -1\/5, 1\/2, m, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10639*g - 57269 + 16920 = 76680 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from cxtqcccuuuxquxcxqx. Give prob of sequence txxc.\nAnswer: 5\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-122)\/4)\/(3*9\/(-54)). Suppose -11*o + 60 = -g. Let l(x) = -x. What is the smallest common multiple of o and l(-3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1109598*s**4 + 162*s**2 + 2846*s wrt s.\nAnswer: 26630352*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1470898555?\nAnswer: 5, 7, 37, 683, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = -121 + 223. Let t = 131 - x. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 40093114.858 take away -0.3?\nAnswer: 40093115.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 7*g - 4. Let n(t) = 37*t + 1. Let d(j) = 43*j + 3. Let f(x) = -4*d(x) + 5*n(x). Suppose -3 = -2*q + 7. Give q*s(b) - 3*f(b).\nAnswer: -4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*y**2 - 3*y + 4*y + 0*y.\nAnswer: 4*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17951750.\nAnswer: 2, 5, 71807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 3*a + 11. Let l be m(-5). Is 22 a factor of ((-44)\/5)\/(l\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10306 (base 8) in base 15?\nAnswer: -1414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -6*r + 165. Let z be d(27). Suppose 0 = 4*c + z*c - 742. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 12*n - 14*n + 6*n - 772 - 4*n + 1518*n**2 wrt n?\nAnswer: 3036*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 33*x**3 + 2*x**2 - 4*x + 3. Let q be y(1). What is the highest common divisor of 51 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 673230, 2692850, 6058896, 10771374, 16830290, 24235650, 32987460?\nAnswer: 43085726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -51\/760 and 3\/1820.\nAnswer: 69160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 15\/(-9)*36\/(-40)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wcmcwmwlowmiwic. Give prob of sequence mimw.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*i**2 + i**2 - i**2)*(1 + 2 - 4)*(-4 + 3 + 3)*(17770*i**3 - 6874*i**3 + 1268246*i**2 - 1268246*i**2).\nAnswer: 43584*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 3*h = p + 6, 4*p = -2*h. Suppose -2*k + 0 = 16. Let f be (3 - 1)*k\/(-20). Which is smaller: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 236 (base 11) in base 6?\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 49750374 is divided by 2615.\nAnswer: 2614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.118 + -0.018. Which is the fourth biggest value? (a) 3 (b) -8 (c) t (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -23 (base 14) in base 4?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 605 minutes after 3:37 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o\/o**(-2\/11))*o)\/(o\/(o*o\/o**1))*o**1*o*o\/o**(2\/11)*((o\/o**7)\/(o*o**(-4\/3)\/o))**(-2\/27) assuming o is positive.\nAnswer: o**(3548\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:06 AM and 12:51 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let -3*p**3\/8 - 1137*p**2\/4 + 1716*p - 2292 = 0. What is p?\nAnswer: -764, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x = 113 - 112.9. Is -11 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 d and 1 z when four letters picked without replacement from {m: 2, u: 6, z: 2, r: 3, d: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -3\/125 and -83\/888120?\nAnswer: 22203000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 8494, 8482, 8474, 8470, 8470, 8474?\n\"Answer: 2*v**2 - 18*v + 8510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -1167 take away -779307252?\nAnswer: 779306085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2911*a**2 + 1815*a**2 - 4766*a**2.\nAnswer: -40*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4361 = 16*k - 105*k. What is the second biggest value in 0.1, k, 1.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 50 + 7*o**2 - 6*o**2 - 50. Let n(w) = 4*w - 2 + 2. What is q(n(i))?\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 3*j + 1 = -30, -5 = c + 5*j. What is the derivative of -6 - 100*y - 49 + c + 132*y wrt y?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28 divided by 81627.\nAnswer: 4\/11661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35*y = 4*y + 868. Calculate the highest common divisor of y and 875.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1470297372 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 9193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 13804 and 250096?\nAnswer: 4251632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-six fifths of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) -3.3 (c) 2\/19 (d) 0.1 (e) 1 (f) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -799, -1, 4, 2, 5 in decreasing order.\nAnswer: 5, 4, 2, -1, -799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1\/((-4)\/(-27)) + (-3)\/(-12). Suppose -l - 4*u = -z, 5*l = u + 35 + 63. Solve l = -2*b + 5*f, -6*f + 25 = -f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-140)\/(-63) - 2\/9)*2. Solve 0 - r = 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -11310916, -11310931, -11310950, -11310973, -11311000, -11311031?\nAnswer: -11311066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -3*y**3 - 496*y**2 + 331*y - 161. Let s be f(-166). Solve s*b = -2*z + 11, -3*z - 24*b + 13 = -20*b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6\/(-1) + 1573 - 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 69 * -18346.\nAnswer: -1265874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -1300*-0.18\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o be 0 - ((-4)\/(-6)*6 + -10). Suppose 0 = -2*p + o, w + p = 6*w - 192. Factor -45*s**2 - 20 + 0*s**4 + 8 - 3*s**4 + 21*s**3 + w*s.\nAnswer: -3*(s - 4)*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 336*m**2 + 22*m + 8. What is the units digit of z(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be -2 + (-1 - 1)*-1. Let i = 2 - h. Let z(y) = -3*y**3 - 2*y**2 + 2. Let c(d) = d**3 + d**2 - 1. Give i*c(f) + z(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -4*m + 0*m**2 - 2 - m**3 - 2*m**2 - 3*m**2 + 4. Let a be l(-4). What is the first derivative of 2*t**3 + 0*t**3 - 6 + a wrt t?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence geg when three letters picked without replacement from {e: 10, g: 3, r: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38*x - 42*x + 2292 = 0. Suppose -240 = 2*a + 2*z, -5*a - 2*z = -6*z + x. Let s = -113 - a. Solve -r - 5 = 0, 5 = 4*y + y - s*r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 50 = -5*q, 5*q = -2*f + 5*f + 10. Solve 0*k + f = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine l so that -6*l**4\/13 - 4*l**3 - 126*l**2\/13 - 48*l\/13 + 32\/13 = 0.\nAnswer: -4, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f + 3*c + 81 = 0, -636186*f + c - 9 = -636182*f - 52 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) be the second derivative of -x**4\/12 - 4*x**3\/3 + x. Calculate p(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 9b6 (base 13) to base 6\nAnswer: 11422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3605 - 841 = -18*o + 265*o for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*j**4 - j**4 - 2*j**4 + (1 - 2 + 0)*(j**4 + 4*j - 4*j) + 30*j**4 + 137*j - 42*j**4 + 10*j**4.\nAnswer: -8*j**4 + 137*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i*i**4)\/i*i)\/i**(-5\/4))**(2\/35) assuming i is positive.\nAnswer: i**(5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3840 + 3892. Solve -58*h + w*h = -24 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1329798311 to the nearest integer?\nAnswer: 36466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -0.03195, 0.159, 1\/2, 4 in ascending order.\nAnswer: -0.03195, 0.159, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) be the first derivative of 7*k**5\/4 - k**3\/2 + 30*k + 19. Let g(x) be the first derivative of z(x). What is the second derivative of g(b) wrt b?\nAnswer: 210*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 0.6543416g?\nAnswer: 654341600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((-72)\/5)\/((-42)\/315)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -a**2 - 3264*a + 36031. Determine d(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i be 4286\/30 + 10\/75. What is the highest common factor of 99 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 34 + (-4 - -2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - j + 4 = 5*q, 2*q + j - 1 = 0. Let i(t) = -5*t - 13. Let x(h) = 2*h. Let g(n) = -i(n) - 2*x(n). Determine g(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6553 take away -188?\nAnswer: -6365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*o + 1 + 4*o**2 - 1.\nAnswer: 4*o*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 282, 492, 714, 954, 1218, 1512?\n\"Answer: x**3 + 203*x + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2996182 - -2996350.00088. Let b = y + -168. Round b to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 550.7068 centuries?\nAnswer: 55.07068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 22 (base 10) to base 16\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 9866.985m in nanometers?\nAnswer: 9866985000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 26.034 + -0.034. Let x = 24 - u. Let j(z) = z**3 - 14*z**2 + 40*z - 1. Let h be j(10). Sort h, x, -0.4.\nAnswer: x, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -46.58595 to one decimal place.\nAnswer: -46.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) be the first derivative of 39*l**4\/4 - 11*l**2\/2 - 2*l + 25. Find the second derivative of a(s) wrt s.\nAnswer: 234*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (2\/(-15)*1525\/244)\/5\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.06 times -3217?\nAnswer: -193.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = 18428 - 18279. Solve 125*a = b*a + 120 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 401124 (base 5) in base 13?\nAnswer: 59c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -r**2 - 9*r - 7. Let o be a(-7). Let u(i) = -11*i + 15. Let x(l) = -21*l + 29. Let c(m) = o*u(m) - 4*x(m). Find the first derivative of c(j) wrt j.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -373*j = 189*j + 3677 + 26109 for j.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 17 and 12497278.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 9105\/2332 - -1\/212. Calculate the common denominator of 71\/8 and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 21 (b) 1.718 (c) 0 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-3)\/(-9) + 40\/(-12). Calculate the common denominator of 15\/80*(-11)\/l and ((-22)\/(-20))\/(8\/70).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 94.98979 micrometers?\nAnswer: 94989.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1378482379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 988 and 716794?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -2e41b (base 16) in base 2?\nAnswer: -101110010000011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2314*k - 2316*k - 2*k**4 + 4630*k + 9*k**2 + 9 - 24*k**3 to the form a*k**3 + q*k**4 + f*k**2 + l + n*k and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -23*v**2 + 126*v - 18. Let g be x(5). Solve c = 3*r - 11, -r + 2*c + g = 25 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f = 29*f + 3*f - 272. Solve -5*u = t + f - 27, 5*u - 31 = -4*t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 364717 is divided by 60786.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 64.38036 years?\nAnswer: 0.06438036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence on when two letters picked without replacement from {l: 1, n: 3, o: 2, q: 7, h: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((sqrt(275) + 0)**2 - sqrt(275)*5) + (sqrt(110) + sqrt(110) + sqrt(110)*-1*2)\/sqrt(10) + sqrt(77)\/((sqrt(7) - 2*sqrt(7))*-1).\nAnswer: -24*sqrt(11) + 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -58 + 29*r - 59 + 62*r**2 + 37*r**2 + 236*r + 118 wrt r?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 3931 times -0.04\nAnswer: -157.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = 169736.8698 - 169590. Let j = v - 147.9698136. Let d = j + 1.1. Round d to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 665 a factor of 35219730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 60 = 2*h + 3*a, -2*a - 1208 = 4*h - 1256 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 13*v - 13*v**2 + 3*v**2 - 47 - 21 - v**3 + 94. Determine i(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = -102 - -101. Let m = -15 + 16. Which is the nearest to m? (a) 2\/5 (b) h (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6249 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 7*i + 3. Let k be 3 - 1*(-3 + 0). Let l(h) = -4*h - 2. Calculate k*x(g) + 10*l(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = -97626 + 97639. Let q = -5 + 9. What is the remainder when r is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -548 = -2*u - 2*u. Let v = -83054 + 83128. What is the remainder when u is divided by v?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 11 + -7. Let l = 0 - f. Which is the smallest value? (a) 0.4 (b) l (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -181.8 + 202. Let i = l + -20. Which is the closest to 4? (a) -0.4 (b) i (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -3 - -1f0de?\nAnswer: 1f0db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = -4*c, -3*c + 4*x = 2*x + 1. Let g = 7 + c. Solve 0*p - g = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/20 of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) be the first derivative of -30*r + 0*r**2 + 0*r**4 - 73\/5*r**5 - 37 + 0*r**3. Find the first derivative of z(g) wrt g.\nAnswer: -292*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1\/(-2*((-15)\/(-4) + -4)). What is the smallest common multiple of 2*-21*(-3 + b) + 0 and 22?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1459 is divided by 1224.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -i + 59. What is m(3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 108 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + m = -5833, 2*c - 4*m = 568 + 11104. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2*((-18)\/(-16))\/(-9)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 33 + -88. Is n at least -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m = 4*m - 16. Let l be -1*1 + (-1)\/1. Put m, l, 0 in descending order.\nAnswer: m, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - d = 15, -2*p + 29 = 4*d - 9*d. Suppose 14 = -y - 3*n, 3*y - 2*n + p = -7. Let r(i) = i**2 + 6*i - 2. What is r(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1, -7\/4, -46.5, -3, 0.4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:29 AM and 1:51 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 2628*h - 977. Is q(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 429 divide 51136800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) be the third derivative of q**5\/60 - q**4\/24 - q**3\/3 + q**2. Let h = 9 - 6. What is the units digit of o(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cc when two letters picked without replacement from {p: 4, j: 1, d: 3, c: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 24*45\/75*(-555)\/222?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*k + 1658185 + 51485345 = -225*k. Round k to the nearest 1000.\nAnswer: -284000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5635.428kg to micrograms.\nAnswer: 5635428000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -198737528*b**4 + 107621203*b?\nAnswer: -2384850336*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -16 - -14. Let u be x\/24 - (-4)\/12. Which is the third biggest value? (a) -1 (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 309945 divided by 3\nAnswer: 103315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand -45*f**2 + 33*f**2 - 33*f**2 + (-f - f + 4*f)*(-f + 2*f + f) + (4 + 2*f - 4)*(43*f + 35*f - 27*f).\nAnswer: 61*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2 - 10. Calculate the remainder when 9 is divided by (20\/j)\/((-20)\/48).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9696 is divided by 1304?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 672, 662, 648, 630, 608, 582?\n\"Answer: -2*h**2 - 4*h + 678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {i: 6, g: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 165053 + 0.1?\nAnswer: 165053.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = 10524*t + 1837. List the prime factors of d(5).\nAnswer: 13, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-1\/4))**(8\/3)\/(w**(-2\/3)*w\/w**(-2)) assuming w is positive.\nAnswer: w**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -2*n**3 + 9*n**2 + 11*n - 6. Let c(w) be the third derivative of -w**6\/120 + w**5\/15 + 5*w**4\/24 - w**3\/2 + w**2 - 25. What is -9*c(v) + 4*d(v)?\nAnswer: v**3 - v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-39)\/26*(-20)\/(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) be the third derivative of -b**4\/24 + 7*b**3\/6 - 10*b**2. What is n(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 364469319?\nAnswer: 3, 251, 161341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5584593?\nAnswer: 3, 7, 101, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -14399, 5, 2, -1, -9.\nAnswer: -14399, -9, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -8*a - 218. Let q be u(-28). Solve -4*n - q = -10*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 54 and 2322?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 305463.8 rounded to the nearest 100?\nAnswer: 305500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-145)\/3*(2 + (-6)\/(-6)). Let v = f - -166. Calculate the highest common divisor of 105 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.052279 (b) -0.2 (c) 660\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -12.437 - 0.4\nAnswer: -12.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*d - 10 = -4*k + 78, -3*k = 2*d + 49 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 3085 + -4?\nAnswer: 3081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -677*c + 673*c - 32 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is (-2 - (-5487)\/(-12))\/((-1)\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = r**2 - 8*r + 1. Let t be c(8). Let f be -1*((-7)\/(-3) - 2)*-3. Let y(a) = 13*a - 2. Let w be y(f). Calculate the greatest common divisor of t and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*u = 171, -2*g - 4*u + 17 = 2*g - 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 75609247 is divided by 1172.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 14*u - 170. Suppose -24 = 19*z - u*z. Let a be (-5)\/(-40)*20*z\/(-5). Solve 0 = -4*p - 3*l - a, 0 = 2*p - 3*l + 6*l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 - -1 - (-2 + (2 - 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + 5*(-3 + (6*(-1*sqrt(99) - sqrt(99)) - (1*(0 + sqrt(99) - sqrt(99)) - sqrt(99))))*-4.\nAnswer: 63 + 660*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: What is l in -5*l**5 - 13225*l**4 - 5607975*l**3 - 632075875*l**2 + 5329181800*l - 10841212080 = 0?\nAnswer: -2151, -251, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -80 or -12865\/158?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -34*w - 31. Let m = 53 + -56. What is the remainder when h(m) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 7040376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = 4*l - 2100, -w - 5*l + 444 - 3 = 0. Does 52 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 146400 and 51240?\nAnswer: 1024800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = s + 3. Let a be b(-6). What is the tens digit of 1 - (-28 - (a - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = g**3 + 5*g**2 + 2*g + 4. Let d = -20 - -15. Let a be j(d). Is (-224)\/a + 4\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(-2 + (sqrt(304) + -5*sqrt(304) + sqrt(304))**2 + -5) + -3.\nAnswer: 13642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2354 is divided by 1077.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 3*f, 2*q + 4 = -2*q + 2*f. Solve u = 3*m - 0*u + 20, q = -5*u + 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -40836*b - 19 + 81716*b + 19 - 40843*b.\nAnswer: 37*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 203059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w = -7 + 27. Let z be (-14)\/(-4) + ((-7)\/(-2))\/(-7). Suppose z*k - s + 3*s - 24 = 0, 3*k = -s + 27. Calculate the lowest common multiple of k and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 6639222 divided by 6\nAnswer: 1106537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*i - 0 + 11. Suppose 2*b - 8 = -6*h + 2*h, 0 = -4*h - 5*b - 4. Solve -h = -d + i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -x + 18 = -q, 85*x - 270 = 86*x + 3*q - 268 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -214, -430, -636, -832, -1018, -1194, -1360?\nAnswer: -1516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2674 - -3803. What are the prime factors of r?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 185 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -73 = -7*k - 10. Suppose m - 3 + k = -5*p, 41 = -4*m - 3*p. Is -10 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8 + 1 + 2310\/(-270).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39*k - 44*k + 2300 = 0. Suppose -16*r = -k - 180. Suppose 6*w + r = 11*w. Calculate the remainder when 38 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 77855 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 - -143958.\nAnswer: 143965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*j = 3*w + 8*j + 8*j + 9*j - 34, 0 = 16*w + 5*j - 76 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -19\/422 and -23\/18626.\nAnswer: 3930086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 12*x - 19*x - 42*x - 3. Let j be b(-2). Suppose -2*r = -10, -5*y = -y + 3*r - j. Calculate the lowest common multiple of y and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-14)\/(-4)*2 - (-22 + 20). Sort t, 2, -17 in decreasing order.\nAnswer: t, 2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 101 minutes after 9:08 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -3*j**2 + 2*j + 1. Let g(r) = 19*r**2 + 1 + 4*r + 15*r**2 - 39*r**2. Let z(w) = 7*c(w) - 4*g(w). Factor z(q).\nAnswer: -(q - 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3026, -8743, -14474, -20225, -26002, -31811?\nAnswer: -37658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -9*n - 59. Let u be t(-14). Let f = -69 + u. Sort f, -7, -4\/5 in descending order.\nAnswer: -4\/5, f, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 28 and 186452.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nwnssnnws. Give prob of picking 1 s and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) be the first derivative of v**4\/60 + 16*v**3\/5 + 1152*v**2\/5 + 171*v - 204. Let c(x) be the first derivative of n(x). Find q such that c(q) = 0.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert d6bba (base 15) to base 6.\nAnswer: 22332521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0 + 6. Suppose 4*l - 2 = i. Solve 4 - 8 = -l*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 0, 7, -37, 0.09, 8 in increasing order.\nAnswer: -37, 0, 0.09, 3, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -s**3 + s**2 + 39. List the prime factors of b(0).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 - 29. Let k be (s\/20)\/((-4)\/10). Solve l = k*l - 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the first derivative of -i**7\/840 - i**6\/120 + i**5\/40 + i**4\/8 + 2*i**3\/3 - 3. Let w(f) be the third derivative of z(f). Give w(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nynynyynnyynnyynyn. Give prob of sequence ny.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 12901 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 f = -67 + 101. Let r(q) = -q**2 + 5*q - 1. Let o be r(4). Let h = f - o. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3 - 5. Let d(v) = v - 5. Let m be d(6). Let s be (m - (-2)\/4)\/6. Which is the third smallest value? (a) -3 (b) s (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -100 + 12022?\nAnswer: 11322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 60\/(-980)*7*49?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*a + 3*m + 28, -m = a - 5*m + 7. Sort 4, -1, a, 0.1 in descending order.\nAnswer: 4, 0.1, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.0086 - 0.0914. Which is the nearest to r? (a) 1.8 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from hufgfogufhffvo.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1008738164?\nAnswer: 2, 7, 199, 269, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = 103 + -26. List the prime factors of f.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 1\/3, -31, -4, 0.049, -1\/5.\nAnswer: -31, -4, -1\/5, 0.049, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.164 - 0.036. Let r = 0.20118 + t. Round r to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 7*v = -p + 258, 3*v = p - 233. Let l = 3226\/13 - p. Let d be (-2)\/(-4) - (-6)\/(-28). What is the fourth smallest value in d, 5, -0.4, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 1134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Do 2875778 and 2875779 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29 - 3*y - 5 + 15 - 15.\nAnswer: -3*y - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j**13)**(-22)*(j*j*j**(-2\/15)*j)**26 assuming j is positive.\nAnswer: j**(-3502\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 2 - 3*w + 7*w - 5*w + 2. Give o(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 9 or -78?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -p + 1. Let i(g) = 37*g - 8. Calculate -i(x) - 6*j(x).\nAnswer: -31*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let -432*k**2 + 30212280*k - 528230244675 = 0. What is k?\nAnswer: 419615\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.9187558 months to years.\nAnswer: 0.24322965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -18*d**2 + 12*d - 123. Let h be 1188\/84 - (1 - 24\/28). Let a be n(h). What is a rounded to the nearest one hundred?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 1, 14, 4, -4 in increasing order.\nAnswer: -4, 0, 1, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-2 - -4) + 16032893 + -8 + 6. Suppose -14*g - 37167107 = d. What is g rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -6*g**2 + 3*g + 47. Let q(t) = -8*t**2 + 3*t + 45. Let i(n) = 2*m(n) - 3*q(n). Is i(-6) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*c**3 - 61*c**2*z - 4*c + 4*z + 1 wrt c.\nAnswer: -12*c - 122*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express ((1481 - 1481 - 54*y)*(-4*y - y + 3*y) - 2 + 2 + y**2)*(-1 + 1 - 11*y**2) as h*y**3 + x + q*y**4 + t*y + j*y**2 and give q.\nAnswer: -1199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 3202 = 3*q, 154*x = 155*x - 2*q - 3197. What is the remainder when x is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.2 or -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 80623.36l to millilitres.\nAnswer: 80623360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1\/4*12 - -11. Solve 0 = -4*z - z - a - 10, 4*z = -2*a - b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -20, 523 in decreasing order.\nAnswer: 523, 5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2*(-18 - (-5 - -2)). Let h = -27 - a. Let t(n) = -2*n**3 - 4*n**2 + 2. Let x be t(-3). Solve -h*q + 4 - 11 = -4*s, -2*q = 5*s + x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 201201 + -202222?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:30 PM and 4:29 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 2 + 2 = 0. Let g(h) = -h**2 + 7*h - 6. Let y be g(5). Solve b = -y*k - 4, k = 3*i - 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-53)\/(18020\/(-255)))\/((-10)\/24)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:43 PM and 1:43 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 20 = -4*o - 0, 0 = m - o - 1. Differentiate -p**4 + 0 - 3*p**m - 6 + 3 wrt p.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 2*n + 300 = 0. Suppose n - 24 = 3*a. Suppose -a*p - 1555 = -7*p. Round p to the nearest 10.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -81027 (base 10) to base 4\nAnswer: -103302003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -423.0062478806 - -35\nAnswer: -388.0062478806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m**2 + 142378716*m = 0 for m.\nAnswer: -35594679, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 13*(-48 - (-308412)\/6422)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -3 - ((-13 - 0) + (904 - 835))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = -24617 - -24616.7. Let i = 10.6 + -10. What is the nearest to i in r, 0.3, -2.6, 2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*z**2 - 6*z**2 + 2*z**2)*(-1 - 1 + 4)*(-3 - 15 - 19 + (-2 + 2 - 2)*(-5 + 1 + 2) + 2 - 5 + 4) - 5 + 5 - 3*z**2.\nAnswer: 125*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2.07 - 2. Let c = 4.93 + a. Let n = c - 5.5. What is n rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -1211739 and -16.36?\nAnswer: 1211722.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w be -1 - -5 - 2 - 2. Suppose 0 = 5*c + 4*r + 30, -c - 3*c - 3*r - 24 = w. Let g = 8 + c. Solve k = -g*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*q + q + 3*q + (-1 + 2 + 1)*(3*q - 3*q - 2*q) + 0*q + 5*q - 4*q + 0*q + 3*q - 2*q + (0*q - 4*q + 0*q)*(-4 + 0 + 2) + 30 + 38*q - 30 + 2 - 2 - q.\nAnswer: 44*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m - 6 + 26 = 0. Suppose 5*y - 64 = -14. What is the remainder when (-119 - -2)*m\/(-12) is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 154, 629, 1432, 2563, 4022?\n\"Answer: 164*z**2 - 17*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 2*t + 13528 = 0, -15178 = -4*m + 4*t + 2866. List the prime factors of m.\nAnswer: 2, 3, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 116 = 3*y - 13. Suppose -3*u + 0*u = -k + 6, -k = -5*u. Calculate the remainder when y is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 216 + -216. Let f(b) be the first derivative of -1\/12*b**3 + u*b**2 - 1\/16*b**4 + 1\/24*b**6 + 1\/20*b**5 + 0*b - 3. Suppose f(a) = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that -4*q**5 - 116*q**4 + 408*q**3 + 736*q**2 - 1024*q = 0.\nAnswer: -32, -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1270 or -0.4?\nAnswer: 1270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1278351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000031849472 rounded to 7 dps?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + (13 - 1 - 21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1)\/3*-53 + (-500)\/(-375). Let r = 151 - w. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -564 - -787. Does 35 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -67*z - 77*z + 138*z. Let l(v) = -30*v. Give b(l(a)).\nAnswer: 180*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3505*b*r**6 - b*r**2 + 2*b*r - 100*b - 279*r**5 - 32*r**2 - 3 wrt r?\nAnswer: 420600*b*r**3 - 16740*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1536 = -3*l - 5*l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*a = 20*a + x - 44, -2*x = a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -34*t - 19. Let u(o) = 102*o + 57. Let r(f) = -11*s(f) - 4*u(f). What is the derivative of r(x) wrt x?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 516 and 10.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = 629164.49090098 + -629230.4909. Let a = -66 - f. What is a rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 150930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Total of 188001635893 and 2.\nAnswer: 188001635895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 51356482?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + -4 + 7 - 14.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -5*s**2 - 5*s + 4*s + 4*s - s - s**3 in the form i + d*s**3 + b*s + r*s**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -754375*b**2 + 612811*b.\nAnswer: -1508750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 83.3 - 84. Which is the fourth biggest value? (a) -5 (b) 0.4 (c) 4 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 29 - (27 - 33) - 38 - 26?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f**2\/5 + 66*f\/5 - 45 = 0.\nAnswer: -25, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z + 2*f + 6 = -10, -5*z = -f + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -29*k. Let f(r) = 6*r - 37. Let m be f(8). Let l(h) = -6*h. Let i(y) = -y. Let b(x) = m*i(x) - 2*l(x). Determine v(b(a)).\nAnswer: -29*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -302449*x**2 + 7*x + 947 wrt x?\nAnswer: -604898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -10 + (10 - (10 - 7)) - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -l**2 + 117*l - 236. Calculate f(115).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/((m\/m**(-4)*m)\/m))\/(m*m**(-1\/10)*m))\/((m*m**(-2\/3))\/(m*m**(-1\/6)*m)) assuming m is positive.\nAnswer: m**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = o**3 + 8*o**2 + 8*o + 5. Let q be w(-7). Let x = q - -6. Which is the biggest value? (a) x (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = 3*k + 1. Let g(c) = c - 3. Let m be g(8). Suppose -4*s + 12 = -l, 0 = 5*s - m*l - 0*l - 30. Give w(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be -1*-3*(-8)\/(-12). Which is the closest to d? (a) 0.3 (b) 4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 798 times 275.6\nAnswer: 219928.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 561 and 459.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n - 54 = -z + 3, -2*n = -5*z - 39. Suppose 16 = 4*r, -4*r = -2*q + 4 - n. Solve 0 = 2*j + q*o - 18, 4*j - 6*j = -2*o + 12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence slsl when four letters picked without replacement from slssll.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-82 - 56) + 55 + (7 - -29)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3164 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: Simplify 2 + ((sqrt(20) + (sqrt(160) + 1*sqrt(160))\/sqrt(8))*-1)\/(-6*sqrt(8)\/sqrt(2) - sqrt(48)\/((sqrt(12)*2 - sqrt(12)) + sqrt(12))).\nAnswer: 6*sqrt(5)\/13 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -116069, -463972, -1043707, -1855268, -2898649?\n\"Answer: q**3 - 115922*q**2 - 144*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 4, -4\/9, 3\/4, 1\/6, 5\/3, 207?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1876 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 401942.9 millennia?\nAnswer: 4823314800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -24*g - 21. Give y(2).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let 145 + 5\/3*v**2 - 440\/3*v = 0. What is v?\nAnswer: 1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:10 AM and 5:16 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -19\/37560 and 43\/25040.\nAnswer: 75120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qbbbbqbq. What is prob of sequence bbbb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 115*p + 1631. Let d be h(-14). Solve -28 = d*q + 98 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8024056 to the power of 1\/3, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -3320 (base 6) to base 13\nAnswer: -471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 47 = -3*t + 49, t - 24 = 3*l. Suppose 0 = 3*u + n - 14, 3*n - t = -2*u - 9. What is the highest common factor of 12 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -y**2 + 5*y - 4. Let k be j(4). Solve -3*q = -k*q - 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4033 (base 8) in base 7?\nAnswer: -6023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -29.456 - -0.096. What is j rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 2070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -10012022 (base 3) in base 15?\nAnswer: -a55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 6) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*v + 280*t - 278*t + 12, 36 = -4*v - t for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 933 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 23332, 46641, 69972, 93325?\n\"Answer: 11*m**2 + 23276*m + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 6372642 a multiple of 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = 95 + -47. Suppose -4*n + n = -s. List the prime factors of n\/40 - (-78)\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 919b (base 16) to base 6.\nAnswer: 444323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 6758 (base 12) in base 11?\nAnswer: 8664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) be the second derivative of -2 + 0*r**3 + 0*r**2 + 1\/6*r**4 + 2*r. Let b(s) = -8*s**2. Give x(b(j)).\nAnswer: 128*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*i - 7479 = -0*i. Let k = -491 + i. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j, 1 y, and 2 b when four letters picked without replacement from {j: 5, c: 5, b: 1, w: 4, y: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = -f - 11. Suppose -7 = 4*l - f. Is -2 + (l*21)\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eeeqqiqeiiiie. Give prob of sequence ii.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -28, -5, 1, 9 in descending order.\nAnswer: 9, 2, 1, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -19*f*z**3 + f*z**2 + f*z + 36*f + 2016*z**3 - 3619*z - 1 wrt z.\nAnswer: -114*f*z + 2*f + 12096*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 0*h + 461 - 516 + 5*h. Let x be d(19). Suppose -3*a - x = -7*a. Solve 0 = 3*g + 4*f - 27, -2*f - a = g - 7*f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5493 divided by -3.\nAnswer: 1831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v be 10*(0 - (-45)\/6). Suppose -b = -0*b - v. Suppose -5*s + 213 = 4*c - 135, 0 = -s + c + b. Calculate the highest common divisor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 27018 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 282.8079ug to tonnes.\nAnswer: 0.0000000002828079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -3704 (base 11) to base 3.\nAnswer: -20122102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 41.2985921 times -0.4\nAnswer: -16.51943684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 2*l = 184, -3*b + 588 = -0*b + 3*l. Does 48 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -5802, -4\/11.\nAnswer: -5802, -5, -4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 90149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15561006?\nAnswer: 2, 3, 83, 31247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6188, 6191, 6194, 6197, 6200?\nAnswer: 6203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-36)\/27*1\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7*v**2 + 2*v**2 - 22 - 10*v**2 to the form r + p*v + o*v**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) be the third derivative of 5\/24*m**4 + m**2 + 0 + 1\/3*m**3 + 0*m. What is the derivative of y(t) wrt t?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 29414, -55.\nAnswer: -55, 4, 29414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 118724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 3691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = -10 + 14. Suppose -r = -p*r + 15. What is the remainder when 2*(1 - (-3)\/(-2)) + 19 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = n**3 + 7*n - 1. Let j(g) = 2*g**3 + g**2 + 6*g. Let s(q) = -6*j(q) + 4*m(q). Does 26 divide s(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 10 + 1 - 7 - 55*v.\nAnswer: -55*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o be 26*(-4)\/(-16)*4. Let x = o - 24. Solve -l = 2*a + x - 13, 5*l - 23 = -2*a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 105255 is divided by 52625.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12023584?\nAnswer: 2, 401, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*h**2 + h**2 - h**2 + (h - 2*h + 3*h)*(-2 + 2 - h) - 14*h**2 - 58*h + 58*h)*(17*h + 11*h - 2*h) in the form k + c*h**2 + o*h**3 + d*h and give o.\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 6520624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = 55 + -36. Let w = -11 + h. Suppose -3*a - 2*u = -w, a + 4*u = 10 - 4. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (166\/(-15))\/(30\/30). Which is smaller: p or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 129b - -4?\nAnswer: 129f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 5*f = 285, 0 = -3*c + 178*f - 174*f + 170. Solve 10*k - c = 2 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = u**2 - 18*u - 43. What is s(20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 35*y + 240*y**3 - 100*y**3 - 117*y**3 as n*y + m*y**3 + x*y**2 + v and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 110, 1, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i = -b - 87 + 3, 0 = -5*b + 5. Let n(f) = 2*f + i - 2*f - 8 + f. Calculate the remainder when 35 is divided by n(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17637196 to the power of 1\/2, to the nearest integer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.95 + 0.55. Sort o, -5, -10, -1.\nAnswer: -10, -5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -2*j**3 - 3*j**2 + 10*j**2 - 6*j + j**3 - 3*j - 1. Let b be c(5). Suppose -t + 5*l + 269 = 3*l, -b*t + 4*l + 1068 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -33\/52?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -72*l - 2 = 3*v - 76*l, -4*v - 3*l - 11 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-34)\/(-221) + (-4)\/26. Suppose p = 3*n - 8*n + 25. Solve -5*o + 0*o - n = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 38\/2607545 and 33\/164796844?\nAnswer: 823984220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = -107 - -111. Suppose -5*v = 4*h - 37 - u, -h - 10 = -v. Let m(j) = j**2 + 5*j. Let f be m(4). What is the highest common factor of v and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 79136 smaller than 0.5009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v be 10\/5 + (-1 - -1). Suppose -3*q = 2*m - 35, -q - 47 = -v*m - m. What is the remainder when m is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is w in -6\/11*w**4 + 10*w**2 + 12\/11*w + 30\/11*w**3 - 2\/11*w**5 - 144\/11 = 0?\nAnswer: -3, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4dbbc (base 16) in base 5?\nAnswer: 40142041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (8\/(-6))\/(((-192)\/(-18))\/(-8))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) be the second derivative of 2*d + 0*d**3 + 10 - 48\/5*d**5 + 128\/9*d**4 - 1\/63*d**7 + 11\/15*d**6 + 0*d**2. Let s(i) = 0. Calculate i.\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -3*x + 19. Let j(a) = -5*a + 28. Give 8*f(h) - 5*j(h).\nAnswer: h + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -0.7715 to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = 265 + -1322\/5. Let y be 1\/2 + (-50)\/84. What is the third smallest value in x, y, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -26 + -5 + (38 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 - 8 = -4*q. Suppose -9 = q*b - 3*b - 4*s, 2*s = -b + 5. Sort 3\/2, 1\/5, b in decreasing order.\nAnswer: 3\/2, b, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12512976 is divided by 1110.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2*8\/((-32)\/(-6)). Suppose -5*h + i = 0, 4*h - 2 - 27 = -5*i. What is the biggest value in 2\/9, h, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 29777466.\nAnswer: 2, 3, 4962911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*l - 390 = 16. Let h(u) = 51 - 22 - l + u. Let x(o) = -170*o. Calculate h(x(b)).\nAnswer: -170*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: ((6640\/83)\/40)\/((-4)\/(-46))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that 3*i**3 + 82369758*i**2 - 329479068*i + 329479080 = 0.\nAnswer: -27456590, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -2011100221 (base 4) to base 3\nAnswer: -1000201202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -27*w**2 + 28*w**2 - 5*w - w in the form p + s*w + f*w**2 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + (7 - (-2 - -20 - (1 - 6))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 9*l**2 - 18. Give h(7).\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 47*j**3\/5 - 378*j**2\/5 + 16*j\/5.\nAnswer: j*(j - 8)*(47*j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 8.9152l to millilitres.\nAnswer: 8915.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1476, -5914, -13312, -23670, -36988?\nAnswer: -53266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((2 + 1 + sqrt(13))**2 + sqrt(13) + -4 + sqrt(39)\/sqrt(3)).\nAnswer: -24*sqrt(13) - 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -5 times 100\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 26730098?\nAnswer: 2, 107, 124907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = 9 + -3. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 84*k - 216 = 36 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 66, 330, 770, 1386?\n\"Answer: 88*y**2 - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + (1 - ((-2 - 4) + 2)) + -10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 896059 to the power of 1\/2, to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 31382364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -120.401168 to 0 dps.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -235*a**3*f*x**3 - 5*a**3*f*x + 7*a**2*f*x**3 + 86*a**2*x**3 + f + 2*x**3 wrt a.\nAnswer: -1410*f*x**3 - 30*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-12)\/(-14))\/((-1)\/(-7)). Let b = 18 - n. Suppose -4*k + b = 0, 3*k + 0*k - 13 = -2*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 564.271 grams?\nAnswer: 564271000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*l - 438*p = -439*p + 46, -4*l = 24*p - 1604 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 57881910.\nAnswer: 2, 3, 5, 47, 41051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*v + 4*v = -18. Suppose -5*t = 3*z - 6, -3*t + 4*z + 24 = v. Let r(m) = -m. Calculate the smallest common multiple of t and r(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1321120310 + 13?\nAnswer: -1321120242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.26 in -2\/15, -2, 15, 6, -3, -3\/40?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(4 + 1 + sqrt(300) + 3 + 0)**2*5 + 1.\nAnswer: -9099 - 4000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1248738858, -1248738861, -1248738866, -1248738873, -1248738882, -1248738893, -1248738906?\nAnswer: -1248738921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 1 + 1 = 0. Suppose -z*t = 4*x, 0 = 2*x - t + 2 + 2. Let c(r) = -11*r + 932. Let h(n) = 12*n - 799. Let k(m) = -6*c(m) - 7*h(m). What is k(x)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bwsodoi. What is prob of sequence dbo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = j**2 - 7*j + 10. Let f be p(4). Let b be f\/(-10) - (-87)\/15. Suppose 7*s - 20 = b*s. Solve -s = 4*q - 3*x, 4*q + 0*x - 2*x = -16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -76\/1017 and -41\/44183.\nAnswer: 397647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (486\/1701)\/(1\/14*8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/(336\/(-20))*-29*82\/1189.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 441 divide 1585395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1.34 - -1.6. Let w = -0.06 + f. Let q = -17.1 + 17. Which is the closest to w? (a) 0.4 (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 834 - 1684 + 839 + 244*r.\nAnswer: 244*r - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 3 g when four letters picked without replacement from gggrggrg?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (9 + (-118744)\/16968 + -2)*(-94)\/(-8) and 29\/24?\nAnswer: 16968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1393*l - 1386*l - 1980*l + 4754*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) be the first derivative of n**5\/5 + n**4\/3 - 17*n + 17. Let a(i) be the first derivative of m(i). Let a(x) = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3155 is divided by 165.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 1, -9, 13, 3 in increasing order.\nAnswer: -9, 1, 2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:33 PM and 10:09 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2 - 7. Sort h, 3, -1.\nAnswer: h, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 1422083.893 and 176.\nAnswer: 1422259.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 3297 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -83\/90 and 127\/150?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 217 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: What is the hundreds digit of -1*(-3 + 6)*(-202)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 213548 - 9182*u**2 - 213548.\nAnswer: -9182*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 9307 not equal to 9408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -a - 1. Let q be c(-4). Let w = -0.7 + 1.1. Suppose 4 = -2*d + 5*j, 0 = -4*d + 6*d - 4*j. Sort w, d, q.\nAnswer: w, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 - (((-10)\/4)\/1 + (-35)\/35)?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 + 0 - 3)*(2*d + 0 + 0) - 3147*d - 1446*d + 1626*d to s*d + h and give s.\nAnswer: -2969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j be 35 + (-4)\/(-2) + -3. Suppose 5*w + 0*w = 25. Let o(k) = 2*k**3 - 4*k + 5. Let c be o(2). Solve j = -w*f - 3*s, -f + 3*f + c = -s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 500, 1003, 1506, 2009, 2512?\n\"Answer: 503*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 185, -0.1, 0.01, 0.4 in decreasing order.\nAnswer: 185, 2, 0.4, 0.01, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 78 - -1888b?\nAnswer: 18903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 7766*i**2*x - 797*i + 2*x wrt i.\nAnswer: 15532*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 5469155 + 10293391 = 0. Let t = -14581273 - j. What is t rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -7 + 6 - -2 - 3*-1. Let u = 46 - n. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (96\/(-20))\/((-3)\/30). Suppose 0 = 3*d + 3*v - 6*v + r, -d + 2*v - 11 = 0. Let g = 46 + d. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = v**2 - v + 5. Let y be (2 - 9\/3)\/(2\/14). Calculate the remainder when a(y) is divided by 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/7? (a) -3 (b) 4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:29 PM and 4:54 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*q + 2*k - 16, 2*k = -3*q + 7198 - 7184 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-284)\/12 - ((-56)\/(-6))\/7. Let k(n) = n**3 + 24*n**2 - 36*n - 33. What are the prime factors of k(z)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5 + -2. Suppose -m*l = -5*l + 4. Suppose 2*u - 45 = i, -l*u + 95 = 3*u + i. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**4\/2 - 45*q**3 - 177*q**2\/2 - 44*q.\nAnswer: -q*(q + 1)**2*(q + 88)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -189*c**3*z + 3*c**2 + 40*z wrt c.\nAnswer: -1134*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -8*r**2. Let t(f) = 5 - 3 - 3*f + 2 - 2. Let d(s) = 16*s - 11. Let j(u) = 2*d(u) + 11*t(u). What is j(l(p))?\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1845899*c**5 + 6*c**3 - 13590868*c**2 wrt c?\nAnswer: -110753940*c**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:42 PM and 3:19 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -58034, -116027, -174020?\nAnswer: -232013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -107470388, -107470390, -107470392?\n\"Answer: -2*n - 107470386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -2*w + 54. Calculate the remainder when d(-16) is divided by ((10 - 4)\/3 + -24)\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -22\/529 and -39\/1150.\nAnswer: 26450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h = 5*f - 153 + 33, 0 = 3*f - 4*h - 72. Let a(q) = -4*q**2 - f + 15 + 9. Let z(l) = 5*l. Give a(z(o)).\nAnswer: -100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = 9*r**2 + 11*r - 16. Let o(d) = -4*d**2 - 5*d + 8. Let w(j) = -7*o(j) - 3*v(j). What is the units digit of w(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -23.7 + 23.6. Let y = 12.08 + -0.08. Is y at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1934951 is divided by 908?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 42350 and 23100.\nAnswer: 254100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) be the second derivative of 1\/2*i**2 + 0 + 1\/2*i**3 + 1\/4*i**4 + 1\/20*i**5 - 3*i. Factor d(m).\nAnswer: (m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 108 + -71 - (23 + -6 + 12)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -6*f - 7. Let h be z(-4). Suppose -16*y = -h*y + 2. Suppose -3*d + 109 = y*q, -49 + 240 = 5*d + q. Calculate the highest common divisor of d and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 25, 77, 139, 217, 317?\n\"Answer: m**3 - m**2 + 48*m - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 5 - 2)*((7 - 3*s - 7)*(0 - 1 - 1) + 30*s + 29*s + 24*s).\nAnswer: -178*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = k**3 - 251*k**2 + 2863*k + 1231. Calculate o(239).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -2 and -11057462227099?\nAnswer: 11057462227097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 3*y + 2. Let m be q(-1). Let o(v) be the second derivative of v**4\/12 + v**3\/3 + v**2\/2 - 22*v. Calculate o(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*y - 5*y. Suppose 1 = u + o, -13 = -u + 5*o - y. Sort 0.3, 0, u in decreasing order.\nAnswer: u, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 1, q: 1, i: 2, p: 1, z: 1, m: 1}. What is prob of sequence mpw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 2*m + 46 = 0, 0 = -h - 2*m + 5*m + 49. What is the smallest common multiple of 20 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o**(-1\/4)\/o*o)**(-6\/11)\/(o\/(o*o\/(o*o**(4\/3)))*o*o**(1\/12)))**(-20))**(1\/8) assuming o is positive.\nAnswer: o**(1505\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 102 + -14133413?\nAnswer: -14133311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 5 + 5)*(0*x + 0*x + x) + 2*x + 0*x - x - 1 - 31*x - 10*x + 11*x.\nAnswer: -31*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = m - 3. Let s be k(5). Let x be 4\/6 + (-3795)\/(-99). Let l be 3 - (52\/x)\/(4\/9). What is the closest to l in 17, s, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 9951 and 214.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 4*p + 5. Let g(w) = 3*w + 4. Let t(v) = -3*g(v) + 2*i(v). Suppose -26 = 3*c - 4*d, 0 = 3*c - 2*d + 22. Give t(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 598636 is divided by 159.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 131*u - 129*u + 12 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 1 x when two letters picked without replacement from yyyxyxeyxxx.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l = -2*q + 5254, l + 3*q - 327 = 974. What are the prime factors of l?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -957*m**3 + 448*m**3 + 506*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -661858350*o**2*s**2 - 145*o**2*s + 4127*o*s - 4*s wrt s?\nAnswer: -1323716700*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 11, 24, 47, 80, 123?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 1245 divided by -249\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5490 and 41730.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -545 + 1107*u + 1095 - 550.\nAnswer: 1107*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = -153 - -157. Suppose d*p = s - 2169, -4*s - 3*p + 10997 = 2359. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -103404*m**3*v**3 - 135*m**3 - 4*m**2*v + 3*m + v - 2735 wrt v.\nAnswer: -310212*m**3*v**2 - 4*m**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rprrrpprpprrpprpppr.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r be -25 + (-4 - (-8 - -4)). Let s be (r\/20)\/((-1)\/4). Suppose -s*f + 15 + 25 = 0. Calculate the greatest common divisor of 24 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1, -16, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -9*j. Let h(t) be the second derivative of t**4 + 282*t. Calculate y(h(b)).\nAnswer: -108*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x be (0 - 1)\/((-2)\/226). Suppose -66*c - 3*c - 46*c + 230 = 0. Suppose c*b + 0*g = g - 82, 3*b + x = 4*g. Which is greater: b or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1523551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express y**2 - 67*y**3 - 32*y**3 + 128*y**3 + 7*y + 5*y**2 as b*y + q + g*y**3 + s*y**2 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = 334*r**2 + 8*r + 25. What is the units digit of z(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jlsjs. What is prob of sequence lj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2234890799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = -153 + 168. What is the tens digit of ((-5)\/k)\/(1\/15) + 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -13, -1, -551, 5, -5 in ascending order.\nAnswer: -551, -13, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) be the second derivative of -1\/24*n**4 + 2*n**2 + 2\/3*n**3 - n + 0. Let r(d) be the first derivative of a(d). Differentiate r(c) with respect to c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.9 take away 81.3959?\nAnswer: -82.2959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -r + 14. Let y be z(6). Let a be 2*-1*(-18)\/4. Let n be 2\/y - a\/(-12). What is the highest common divisor of n and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -m**3 + 10. Let r be o(0). Suppose 13*q = r*q + 117. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-14)\/36*((-11895)\/(-210))\/13 and 103\/124.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -47236304, -47236303, -47236302, -47236301?\nAnswer: -47236300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*c*j**3 + c*j**2 + 3*c*j + 2*j**3 - 4586*j**2 - 15216*j wrt j.\nAnswer: -12*c*j + 2*c + 12*j - 9172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -2520143 + -23?\nAnswer: -2520166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.048 + -0.04800436. What is d rounded to 7 dps?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(16)*-3 + sqrt(28)\/(sqrt(21)\/sqrt(3)))\/(6*-2*2*sqrt(2)*-2).\nAnswer: -5*sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Let t(y) be the second derivative of -2*y**7\/21 + 2*y**6\/5 + 3*y**5 + 17*y**4\/3 + 4*y**3 + 28*y + 3. Factor t(w).\nAnswer: -4*w*(w - 6)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 25526141, 25526142, 25526143, 25526144, 25526145, 25526146?\nAnswer: 25526147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Let j = -45.2485 + 69.2484872. Let b = 3549 - 3525. Let s = b - j. Round s to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/(-228))\/(16\/640*20).\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*j**2 + 0*j**2 - j**2)*((j**2 - j**2 - j**2)*(-15 + 15 + 7*j) - 3*j**3 + 4*j**2 - 4*j**2).\nAnswer: -10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor p**3 + 365952*p**2 - 1463820*p + 1463824.\nAnswer: (p - 2)**2*(p + 365956)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -41*g**4 + 37*g**4 + 49 + g**2 - 59 + 3*g**3 as s*g**3 + i*g + j*g**4 + a + b*g**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uhehfuusfaesffehefee. Give prob of sequence sehu.\nAnswer: 3\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -234201 (base 6) to base 13\nAnswer: -9376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.025 - -102979.\nAnswer: 102979.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 165, -3, 3, 16, -1, -53 in increasing order.\nAnswer: -53, -3, -1, 1, 3, 16, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.19 - 0.190072. What is y rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1001530?\nAnswer: 2, 5, 100153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(300) - sqrt(27)\/(sqrt(9) - (sqrt(9) - sqrt(81))))*4 - ((sqrt(216)\/sqrt(6))\/sqrt(12) - (-5 + sqrt(6)\/sqrt(2))).\nAnswer: -5 + 236*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15520 + -21.03.\nAnswer: -15541.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3140940 and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 289 or 287?\nAnswer: 287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -97\/388020 and 31\/5800?\nAnswer: 3880200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1 - (-1 - 9*480637). Suppose -2*i + 74263 = -q. Suppose y + o = i, -2*y - 4400005 = -4*y + 5*o. Round y to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 322.6 - 193. Let p = f + -147. Let t = p + 17. What is the fourth smallest value in t, 0.2, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13708*k + 13690*k = -90. Solve 7*d - k*d = -10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.07, -4, 24, -3.\nAnswer: -4, -3, -0.07, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5800665 and 83805?\nAnswer: 2265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*d = 3*k + 17, d + 2*k = 5*k + 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 22*v**2 - 3*v + 1. Let a be r(-4). Let w = 378 - a. What is the greatest common divisor of w and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 14\/9 in 1\/5, 0.3, -3, 874, -17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z be (10 - 64\/6)*(-27)\/(-8). Which is bigger: -2\/5 or z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 8\/3? (a) 4 (b) -3 (c) 3\/2 (d) -299 (e) -7\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (-8)\/(-10) - -56*1712\/(-101115)?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h + h = -5*t + 104, -5*t = 4*h - 446. What are the prime factors of h?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13853 is divided by 2764.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7, 10, 29, 50?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 89804 and 55?\nAnswer: 449020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -8, 37, 146, 337, 628, 1037, 1582?\n\"Answer: 3*h**3 + 14*h**2 - 18*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 8 and 7816.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -2125 * 114\nAnswer: -242250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7696*g**3 + 3837*g**3 + 3862*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1 + 0. Let j be p\/2*(-13 - -9). Find the first derivative of -j - y + 3 - 2*y wrt y.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 14942, 53212, 114798, 199688, 307870, 439332, 594062, 772048?\nAnswer: 973278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -2*u**3 + u**2 + 2*u - 2. Suppose 5*j - 112 = 68. Let o be j\/(-30)*(-15)\/2. Suppose -13*a = -o*a - 8. Calculate n(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.34 + 0.04. Suppose -6 = -2*i - 2*n, -4*n + 12 = 4*i - 6*i. Let m be (-3)\/12*2 - (2 - 2). Which is the biggest value? (a) m (b) i (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 2*v + 6. Determine j(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 169 divide 108411744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 18 = 3*c, -2*c - 4*u = -16 + 4. Let r be 18\/5 + c\/(-10). Suppose 4*w - 4 = v, -2 = r*v - 5*w - 4. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 429*q = 162*q + 170*q - 6305 for q.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y**2 + 36*y + 1431. Let h be a(0). Suppose 0 = 6*u + 93 - h. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*m - 6*m**2 + 14*m**2 + 14*m**2 + 3*m.\nAnswer: 22*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 38664?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -15260*i + 15260*i + i**4 - i**3.\nAnswer: i**3*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20153 is divided by 4932.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) be the third derivative of 0*a + 1\/20*a**5 - 1\/6*a**3 - a**2 + 0 - 1\/12*a**4. Let z(l) = -977 + 977 + 4*l**2 - 3*l**2. Calculate x(q) - 4*z(q).\nAnswer: -q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = -468 + 468.4. Let j = -4526\/13 + 348. Sort j, h, 4 in ascending order.\nAnswer: j, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.8213888 litres?\nAnswer: 821.3888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve h**3\/3 + 341*h**2\/3 - 2184392*h - 2420704272 = 0.\nAnswer: -1596, 2851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 246 minutes before 2:10 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 8 = -3*i. Suppose -5*b + 19 = -2*z, -5*z - i*b + 17 = 81. Let w be (-1 - 0)\/(z\/84). Solve 8 + w = -3*m, 3*x - 3*m - 27 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3*1 - 20\/20. Suppose -3*n + 19 = -r - 3*r, 2*n - y*r - 16 = 0. What is the remainder when 36 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32499?\nAnswer: 3, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 384 and 840.\nAnswer: 13440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z - 19*u = -17*u + 14, -z = -3*u - 11 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -1202, -2072, -2946, -3824, -4706?\n\"Answer: -2*d**2 - 864*d - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p + h = 97, 2*p + 3*h - 38773 = 2*h - 38709 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -5*j**2 + 6*j. Let u(v) = 15*v**2 - 17*v. Let w(p) = -p**3 + 13*p**2 - 40*p + 3. Let a be w(7). Calculate a*h(i) + 6*u(i).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3\/3 + -1 + -8. Let x = h + 11. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3\/4? (a) 2\/5 (b) 1 (c) -1\/5 (d) 2\/11441 (e) 5 (f) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/t**6*t*t**10)**(2\/27) assuming t is positive.\nAnswer: t**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.2 - -1.8. Let d = h - 3. Which is the third biggest value? (a) d (b) -5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 16.9 + -18. Let o = -16.4 + 16. Let n = o - c. Round n to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 254531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 4036, 4013, 3990?\n\"Answer: -23*l + 4059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 70 and 281305.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -3*p**2 + 7. Let v be t(-3). Let u(k) = k**3 + 19*k**2 - 21*k + 16. List the prime factors of u(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1475141 to the power of 1\/2, to the nearest integer?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = 135930 + 389. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 90300 = 9474*c - 13086*c for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 6, c: 13}. What is prob of picking 4 c?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y - 3*y - i = -5, 3*y - 5*i + 25 = 0. Suppose 5*n - 4*n - 4 = y. Suppose v - 15 = -n*v. Solve -l + 20 = v*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1783*q**3*s**3 + 817*q**3*s**2 + 3*q**3 - 12*q**2 + 689876*q with respect to s.\nAnswer: -5349*q**3*s**2 + 1634*q**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -8 + 9. Let r be 1\/2*(g - 15). Let h = 72 - r. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that 3*c**3 - 4164*c**2 - 17187840*c + 27117158400 = 0.\nAnswer: -2452, 1920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -3.83663 to 1 dp.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 3232143010 (base 5) in base 9?\nAnswer: 14004743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*x - 157 + x + 1817 - 4*x + 3834.\nAnswer: x + 5494","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2802*o + 1402*o + 1399*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - -4 - 8) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.8 - 1.2. Let l = 19 + -19. What is the third smallest value in l, -7, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*b**5\/9 - 50*b**4\/9 + 112*b**3\/3 - 32*b**2.\nAnswer: 2*b**2*(b - 12)**2*(b - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d - 3. Let z = -12 - -7. Let v be w(z). Let n = -110\/3 - -73\/2. What is the third biggest value in n, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x\/x**(2\/5))\/x)\/(x*x*x\/(x**(8\/9)*x)))**(-4\/13) assuming x is positive.\nAnswer: x**(272\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -3232 divided by 808?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1.79 + -76.21. What is the second biggest value in -3, 0.5, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + 3*b = 3, -u = -0*b - 4*b + 19. Let v be (-2)\/2 + (u + 8 - 1). Let k(w) = -w + 1. Let c(r) = -5 + 7*r + 0 + 0. Determine v*k(n) + c(n).\nAnswer: 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sgzgkts. Give prob of picking 1 k, 2 g, and 1 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b be 21\/70*145*2\/3. Solve 25*g - b*g - 5*o + 13 = 0, 5*o - 25 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -76, -147, -218?\n\"Answer: -71*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3642757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -430168 or -4731850\/11?\nAnswer: -4731850\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2235*v + 6179*v + 49983*v + 155962*v.\nAnswer: 209889*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 70\/13*x**3 + 2\/13*x**2 + 0 - 12\/13*x.\nAnswer: 2*x*(5*x - 2)*(7*x + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 443237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (144\/(-14))\/(-12)*(-2)\/((-12)\/105)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 14*r - 6*r + 16. Let f(u) = u + 7. Let o be f(-3). Let w = o + r. Calculate the smallest common multiple of 22 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -73*k - 60*k + 143*k = 0. Solve k = -y - 2*z - 7 + 10, 8 = 4*z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ooootoccnnoooocoooo. What is prob of picking 2 c?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 386 (base 9) to base 6\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t**2\/7 + 2*t\/7 = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 2*o**2. Let a(z) be the third derivative of 2*z**4\/3 + 215*z**2. What is a(f(v))?\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-1)\/(-1))\/(((-42)\/6)\/(-567)). Let x = c + -65. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.1 + -1.1. Let r be 3 - (30\/(-25))\/((-165)\/50 + 3). Let d be 15\/(-3)*12\/(-15). What is the closest to o in d, r, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1687\/6 - 851\/3. What is the second smallest value in 10, v, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 30314, 30332, 30350, 30368, 30386, 30404?\n\"Answer: 18*l + 30296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 190332 divided by -36\nAnswer: -5287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1a715 - -3?\nAnswer: -1a712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-155)\/279)\/(2\/(-18)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = z**3 - 5*z**2 + 4*z - 16. Let d be k(5). Which is the closest to d? (a) -0.1 (b) 5 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 92827908?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 0.1*-4990\nAnswer: -499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 126*q + 7212179 = -2*a + 123*q, 0 = 5*a + 5*q + 18030465. What is a rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + 4*sqrt(75))**2 + (-1*(0 + sqrt(75) + sqrt(75)))**2.\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 3853.1 to the nearest ten.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -214023 - 12404?\nAnswer: -231432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -772 + 2313 - 8*g**2 - 771 + 3*g**2 - 773.\nAnswer: -5*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 8, 0, -16, -40?\n\"Answer: -4*r**2 + 4*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.7 - -2.3. Let h = 19 + -20.05. Let l = -0.05 - h. What is the nearest to l in 1, d, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 526514, 2106021, 4738518, 8423993, 13162434, 18953829, 25798166, 33695433?\nAnswer: 42645618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12\/8*-3*(-1960)\/(-180).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (54*h**3 - 27*h**3 + 17*h**3)*(-3 + 5 - 1) as j + y*h + g*h**3 + r*h**2 and give g.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3674 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w**3 - 7*w**2 + 57*w - 177. Let i be u(4). Let x(f) be the first derivative of 5*f**2 - 5\/3*f**i - 1 - 5*f. Solve x(o) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -9*o**2 + 18*o - 3. Let d be j(2). Put d, 0.1, 0.4 in decreasing order.\nAnswer: 0.4, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2766 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -372, -1142, -2304, -3852, -5780, -8082?\nAnswer: -10752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.03 (b) 7005 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0 (b) 5 (c) -5\/2 (d) 41.4 (e) -42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 18445330 a multiple of 269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = 389 - 269. Let n = 1011 + -954. Let y = t - n. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(1573) + 0 + sqrt(1573) - sqrt(13)).\nAnswer: -5 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = -a - 2*c + 13, 6 = 2*c. Let h = a + 14. Calculate the greatest common factor of h and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.024 - -0.076. What is the biggest value in j, -0.1, -4\/15?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = r - 2. Let n be b(5). Suppose -2*y - n - 3 = 0. Let w(k) be the first derivative of k**3\/3 - k + 6. What is w(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 21 and 511.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 27*l. Let h(t) = 5*t**2 - 12*t - 54. Let o(d) = 11*d**2 - 22*d - 90. Let m(z) = -5*h(z) + 3*o(z). What is b(m(s))?\nAnswer: 216*s**2 - 162*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 4342 + 150014?\nAnswer: 154400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -14, 4, 3, -121, 2 in decreasing order.\nAnswer: 4, 3, 2, -14, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -0.1 * 0.08\nAnswer: -0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = 191 + -190.6. Is s at most as big as 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -190, -364, -536, -706?\n\"Answer: w**2 - 177*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -405697*d - 4868356. Give v(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 3*n**2 - 5*n + 4. Let t be d(3). Suppose 3*b = 5*s + t - 7, 2*s - 3 = -b. Suppose -4*q = -s*q - 56. What is the smallest common multiple of q and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eleven eighths of a millennium in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -208*x**2 + 9*x - 3. Let n be c(3). Let z = n - -4569. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + 0 - 2\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -47757357 >= -47757353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4744*d**2 + 116*d**3 - 4744*d**2 + 81*d**3.\nAnswer: 197*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*d**3 + 3*d - 3*d**4 - d + 4*d**4 + 702*d**4 - 1456*d**4 + 645*d**4 + (0*d**3 + 2*d**3 - 3*d**3)*(0*d + 2*d - d) + 4*d**4 - 5*d**4 - d**4.\nAnswer: -111*d**4 - 2*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -15*f**3 - 6*f**2 + f - 2. Let z(n) = 19*n**3 + 7*n**2 - 2*n + 3. Let i(a) = -5*u(a) - 4*z(a). Calculate i(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(1 + sqrt(1008)) + sqrt(1008) + 1*(-1 + sqrt(1008))**2)*5 - -1*(sqrt(1008) + -5 + sqrt(1008))*-2*5.\nAnswer: -180*sqrt(7) + 5105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -g*i**4*s - 18*g*i**3*s - 3*g*i**2 + 4*g*s + 5*i**3*s + 33*s wrt i.\nAnswer: -24*g*i*s - 108*g*s + 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) be the second derivative of g**5\/20 + 7*g**4\/6 - 7*g**3\/2 - 23*g**2 - 12*g + 8. Let y be t(-15). Calculate the greatest common divisor of 88 and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:40 PM and 11:36 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:49 PM and 3:11 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*v**5 + 0*v**5 - v**5 - v**5 - v**5 + 4*v**5 + (v**3 + 0*v**3 + 0*v**3)*(4*v**2 + 3*v**2 - 5*v**2).\nAnswer: 6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*-3*sqrt(550))\/sqrt(10))\/((sqrt(15)\/sqrt(3)*-6 - sqrt(5))*-6).\nAnswer: -sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 52, 174, 370, 640, 984, 1402?\n\"Answer: 37*s**2 + 11*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = 5*c + 180, 13*m + 9 = 16*m. Let v = 24 - c. Calculate the remainder when v is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -47\/624 and -103\/61464.\nAnswer: 122928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 3*u + 24 = 0, -w - 2*u = -4*w + 21. Suppose 4*d = -2*y - 2, 0 = w*y - 4*y - 3*d - 24. Solve -3*f + 0 - y = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.37 bigger than -1789\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/(63\/339) + 4 + (-34)\/7?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 8*x + 2. Let b be d(-8). Let k = b + 92. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -2*n + 5. Let i(f) = -f**3 + 5*f**2 + 4. Let l be i(5). Give q(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -59.3 - 20.4. Let k = a + 79.69999599. Round k to 7 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.24 - -0.17. Let f = 0.04 + w. Let c = -0.027 - f. Round c to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -5 and 1390199.\nAnswer: 1390194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 0.1954*-2\nAnswer: -0.3908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = -87 + 134. Suppose -2*f + 15 = 5. Suppose 0 = 3*q - u + f. Calculate the remainder when 54 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17902?\nAnswer: 2, 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = w**3 - 4*w + 5. Let u be o(2). Suppose g - 3*g + 8 = 0. Solve 2*s + 10 = 2*l - 2*s, -u*l + 25 = -g*s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -130.8 - -144. Let q = -1.7 - -14.7. Let y = v - q. What is the nearest to y in -5, -1\/5, -2\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 55251.\nAnswer: 3, 7, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -20414.07 to the nearest 10.\nAnswer: -20410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 3*i**3 + 6*i**2 + 25. Determine n(6).\nAnswer: 889","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rrp when three letters picked without replacement from yrjyjypyryrrpyyjyyy?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 116 times 37\nAnswer: 4292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -3392, -6779, -10164, -13547, -16928, -20307, -23684?\n\"Answer: x**2 - 3390*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5 in -0.3, 1.4, 1?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3696491?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*g*u*z - g + 4*u*z - 23*u + 5 wrt z.\nAnswer: 2*g*u + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -121 + 121 + 5*y - y**2 as m*y**2 + b*y + h and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*n**3 + 6*n**3 - 15*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1098911 - 1098887.999916. Let h = 23 - r. What is h rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one sixteenth of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -3 - 9 - 7 + 18 - 68*r as x + d*r and give d.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.817 + 4.807. Let q = v - -0.01. What is the nearest to 1 in q, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*sqrt(204)*1 - 1*-1*sqrt(204))\/((2*sqrt(96)*-5)\/(sqrt(288)*1)))**2.\nAnswer: 1377\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -121 - -120.937. Let x = -39.3 + 39.337. Let j = x - b. Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m + 6*w + 56 = 105, 3*w = 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/4 in 4.94, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -93\/2514560 and -113\/106868800.\nAnswer: 213737600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = -2*d, -4*d + 2 = 3*n + 32. Let p = 10 + n. Suppose -8*g + 9*g = p. Solve -r = r + g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 7*i**2 + 7*i + 3. Let g(m) = 6*m + 1356*m**2 + 1348*m**2 - 4043*m**2 + 1345*m**2 + 2. Calculate -4*g(k) + 3*w(k).\nAnswer: -3*k**2 - 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4 - -7. Suppose -20*n = -18*n. Suppose q*k + n*k = 33. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 25401 is divided by 2782?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 21 = -33. What is the remainder when 31 is divided by (-88)\/s*(-1 + (-4)\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 - p**2 + p**3 + 6*p**3 + 11*p**4 - 5*p**3 + 6*p**3 + 0*p**3 to i*p**2 + z*p**3 + k + r*p**4 + b*p and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -3*u**3 - 5. Let z = -49 - -46. Let f(x) = -3*x**3 - 4. What is z*k(a) + 4*f(a)?\nAnswer: -3*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 17287823?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 375244.\nAnswer: 2, 93811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1 (b) -5 (c) -2\/5 (d) -4 (e) 7\/3 (f) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:42 PM and 3:57 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*s = -5*s + 120. Is s less than or equal to -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*x = -229 + 144 - 656. Sort x, 5, 16 in ascending order.\nAnswer: x, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2002 + -122?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 16? (a) 5 (b) 3408 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 160 is divided by 79.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6336 = -40*y + 42*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1358985689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -14, -31, -52, -77?\n\"Answer: -2*u**2 - 11*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = t**2 + 11*t - 6. Let l be j(-13). Let d = 16 + l. Suppose 11*r - d = 5*r. What is the lowest common multiple of r and 13?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*c + 59 + 127. Calculate the lowest common multiple of c and 51.\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 262906, 528868, 794830, 1060792, 1326754, 1592716?\n\"Answer: 265962*m - 3056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 1 a when two letters picked without replacement from wgwwmggamggmg?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 12 and 408?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 8 = -46. Let t = 1 - r. Suppose 35 = -3*c + 4*c. What is the remainder when c is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1159*x - 595*x - 24825 = 36565 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39 = x - 4*x. Let v = -4 + x. Calculate the highest common divisor of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - 32*q = -31*q - 106, q = 3*o - 70. Find the second derivative of -2 - 9 + 2 + 24*p - 9*p - 16*p - o*p**4 wrt p.\nAnswer: -264*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 12*v - 740. Let l(a) = -2*a + 245. Let k(z) = 3*l(z) + t(z). Let q = -1 + 5. Give k(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 60 + -60.13. Let g = 3.87 - h. Which is the smallest value? (a) 0.5 (b) g (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 1927*a - 11. Let l(h) = -485*h + 3. What is -22*l(g) - 6*x(g)?\nAnswer: -892*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.5415217nm to micrometers.\nAnswer: 0.0005415217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.6 (b) 1\/5 (c) -6 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-l**3 + 3 - 3)*(22*l - 46*l - 66*l).\nAnswer: 90*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) be the first derivative of -2*b**5\/5 + 4*b**3\/3 - 1. What is the third derivative of l(c) wrt c?\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -110*d + 355 + 415. Let p(q) = 2*q**2 + q - 1. Let r be p(1). Suppose -4*k = -2*k - 6. Solve d = -r*m - k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h**(-14)*h)\/(h*h**(-1\/17)*h*h) assuming h is positive.\nAnswer: h**(-254\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 37*z + 1 + 1.\nAnswer: -37*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4589*c**2 + 2279*c**2 + 3982*c - 12641*c wrt c.\nAnswer: 13736","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 16 divided by 2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 54 (base 16) to base 2\nAnswer: 1010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 8 + -3. Suppose 0 = -0*f + x*f. Suppose -3*l + f*l = 0. Solve -10 = -b + 3*v, l*b + 3*v = -2*b - 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 500112133 (base 6) to base 2\nAnswer: 100000000100101001011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = d**3 - 5*d**2 + 2*d - 6. Let u be a(5). Suppose -10 = -5*n, 0 = -u*o + n + 4*n + 102. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 11 and 275.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = 10*w - 46, 18*w = 16*w + 5*j - 2. Solve 26 = -5*t + 6, 4*k + w*t = 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5 in -5, 0, 8\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 12*b**2 - 2*b - 2. Suppose 5*u = v + 2*v - 22, -3*u = v + 2. Let j be a(u). Suppose 8*c - 30 = 5*c - 2*z, -5*c + 2*z = -j. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 5 - 3)*(3 + 2 - 4)*(-84*t - 153*t - 253*t) + 0*t + 2*t - 3*t to p*t + k and give p.\nAnswer: 489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -18ee145 - -5?\nAnswer: -18ee140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3 + -2. What is the greatest common factor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -c**3 - 3*c**2 + 2*c + 7. Let w be k(-3). Is -131 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 570 minutes before 7:41 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the second derivative of g**4\/3 - 5*g. Let y be p(1). Let t be 29\/(-9) - 4\/(-18). Sort 2, t, y.\nAnswer: t, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 11, g: 1}. What is prob of sequence zzz?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 12096657 > 12096655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2\/13, -0.3, -1\/4, 1, 0.1, 3\/76?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -y**2 + 307*y - 7160. Calculate u(281).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1856 and 48448?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 82233?\nAnswer: 3, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = -7 + 11. Let b(f) = -10*f + 106. Let h be b(10). Solve l*p - 2*p = -h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -125*d + 332*d + 42*d + 5*d - d - 3*d - 2*d - 2*d + d + (1 - 1 - 1)*(-2*d + d + 0*d).\nAnswer: 248*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*q + 10, 0 = -z - 0*z - 2*q + 7. Let y(j) = -z + 3*j - 6*j + j + 8. Determine y(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*n**4 - 1074*n**3 + 96123*n**2.\nAnswer: 3*n**2*(n - 179)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 4\/(-14) - 970\/(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 15423519 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -149*r = -168*r - 95 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the first derivative of g**10\/1680 + g**6\/180 - 5*g**3\/3 + 7. Let q(w) be the third derivative of p(w). Find the third derivative of q(t) wrt t.\nAnswer: 360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 2*k - k**2 + k**2 - k - 5 + k**2. Let b = 9 - 22. Let y = 13 + b. Determine t(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 1615?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*w - 7 + 29*w**2 + 15*w**2 - 26*w**2 to c + x*w + z*w**2 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = t**3 + 118*t**2 + 3*t + 345. Determine s(-118).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -11 + (-164 + 174 - (-7 + 1 - -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 23, 43, 63?\n\"Answer: 20*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.08 - -0.18. Let r = 93\/440 + -1\/88. What is the closest to g in 1\/4, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -10, -16, 5, 2\/13 in descending order.\nAnswer: 5, 2\/13, -10, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4787*o**4 + 1333*o**2*y**3 - 33248*o*y**3 + 57*o*y wrt o?\nAnswer: -57444*o**2 + 2666*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1767 + -0.081.\nAnswer: -1767.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5070 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = 108717 - 108718. Let t = -4\/5 + 21\/20. What is the nearest to x in 0.93, 4\/3, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 0*c = -15. Determine z so that -c + 2*z - 12*z - 3*z**2 + 4*z = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) be the third derivative of 1\/40*a**6 + 0*a - a**3 - 1\/4*a**4 - 1\/140*a**7 + 3*a**2 + 0 + 3\/40*a**5. Determine q so that m(q) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2\/1717085 or -1?\nAnswer: -2\/1717085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xa when two letters picked without replacement from {i: 8, a: 1, p: 1, y: 2, x: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 50 = -5*d, -34*d - 340 = -79*s + 84*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6 + -4. Let q be (96 - 92)*1*34\/8. Suppose -h - f*w + 2 = 4, 4*h = -3*w + q. Calculate the smallest common multiple of h and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) be the first derivative of -1\/120*j**6 + 0*j - 1\/3*j**3 - j**2 + 1\/24*j**4 - 4 + 1\/10*j**5. Let d(x) be the second derivative of k(x). What is d(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.2675954 to four decimal places.\nAnswer: -0.2676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = p**2 + p - 112. Let z be s(10). Let l(f) = f**2 + f + 1. Let c(y) = -11*y**3 + 2*y**2 + 2*y + 2. Give z*l(n) + c(n).\nAnswer: -11*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1 + -1565aa?\nAnswer: -1565ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 3*a = -66, d - 77*a + 79*a = 10. What is the highest common divisor of d and 441?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.04 + 0.06. Let f = 5.3 - 5. Let k = f + -0.3. What is the closest to -1 in k, -1\/7, t?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 3, -51, -141, -267, -429, -627?\n\"Answer: -18*l**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -32 + 95\/3. Let j = 22 - 16. Which is the third smallest value? (a) j (b) -0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 213486 and 801465?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*o**4*q**3 + 2*o**4*q**2 - 24*o**4 + 3*o**2*q**3 + o**2*q**2 + 177*o*q**3 wrt o?\nAnswer: -48*o*q**3 + 48*o*q**2 - 576*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 69*m**3 - 25*m**3 - 13*m**3 - 12*m**3 - 16*m**3 - 9 - 10*m**3.\nAnswer: -7*m**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -20*q**2 - 4*q. Let x(l) be the first derivative of l**3\/3 - l**2\/2 + 1856. Determine -k(h) + 4*x(h).\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 3, e: 4, r: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 876 divided by -1157\nAnswer: -876\/1157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 31292\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -85*f + 89*f - 32 = 0. Solve 5*b = b - f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 208031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*z = -3*k - z - 551 + 569, -2*k = -5*z - 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 m when two letters picked without replacement from qobbqqqmqbqwwobqm?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - 4*a + 19 = 3*q, -5*a + 14 = 3*q. Calculate the common denominator of 4 - q\/(-24)*1236\/(-15) and (-1 - -2) + 103\/(-72).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r = -2*p, 3*p - 4*r + 2*r - 26 = 0. Let x be 2619\/p*30\/315. Is 42 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 7 = 7. Let f be (-55)\/(-15) - 1\/(-3). Suppose -f*m + 6 = -10. Solve x = 2*c - m*c - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -17 - -52\/3. Let k be 2 + 75 + (-1)\/1. Let o = k + -155\/2. Are o and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9473924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 28828, 60345, 91862?\n\"Answer: 31517*k - 2689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.104 and 0.1.\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*u + 10 = -0. Let z(f) = 2*f**2 - 2*f - 1. Let k(j) = -j**2 - j - 1. Suppose 1 + 2 = 3*m. Give m*z(x) + u*k(x).\nAnswer: 3*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 29050204 to the power of 1\/2, to the nearest integer?\nAnswer: 5390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = 50177\/29 - 1730. Are 0 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -400\/3 - -3604\/27. Let h(b) be the first derivative of -2\/45*b**5 + 1 + 1\/27*b**6 + 1\/9*b**2 + k*b**3 - 2\/9*b - 1\/9*b**4. Find j such that h(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7741841 is divided by 2799.\nAnswer: 2606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -5*r**2 - 5*r + 2. Let k(w) = 24*w**2 + 24*w - 10. Let j be 1 + 1504\/(-26) + 20\/(-130). Let p = j - -60. What is p*k(d) + 14*b(d)?\nAnswer: 2*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = x**2 + 11*x - 6. Let c(g) = -3*g + 6. Let f be c(6). Let q be h(f). Calculate the greatest common factor of q and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2113 + 2545. What is the greatest common factor of f and 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -10980, -10979, -10978, -10977, -10976?\nAnswer: -10975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a**2\/17 - 4824*a\/17 - 905450\/17 = 0. Calculate a.\nAnswer: -175, 2587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.14444 and -0.05.\nAnswer: -0.19444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*k - 159 = -147 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:06 PM and 2:24 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 + -11 + 36 + -10 - 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 5*h**2 - 603*h - 45935. What is s(-53)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 175 + -527\/3. Sort 3\/4, -5, q.\nAnswer: -5, q, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 12.6 + -12.8. What is the nearest to -2\/3 in z, -3, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 40003505 (base 6) in base 15?\nAnswer: 172052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 5*z = -a + 8, 5*z = 3*a - 10. Let v(l) be the first derivative of -1\/3*l**3 + a*l**2 + 2 + 0*l. Let q(i) = 2*i. Determine q(v(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - y + 80 = 0. Let p(s) = s - 4. Let g be p(9). Suppose -g*f + 46 = 2*i, f - y = 4*i + i. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.091 and 63063?\nAnswer: 63062.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1336*z - 9172.\nAnswer: 1336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 1165, 4, -12 in descending order.\nAnswer: 1165, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 306*p**3 + 15*p**2 - 854. Let t(b) = -b**3 + 3*b**2. Let o(h) = -r(h) + 5*t(h). What is the first derivative of o(l) wrt l?\nAnswer: -933*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rj when two letters picked without replacement from {r: 9, j: 5}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -1285 greater than or equal to -6429\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = 29242 - 21438. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27*n**2 - 387 - 25*n**2 + 387.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -22821, -91276, -205369, -365100?\nAnswer: -570469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -12058912 divided by 4\nAnswer: -3014728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 64*l**2 + 260*l + 292. What is q(-5)?\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + ((sqrt(168) + (sqrt(168)*-2 - sqrt(168)))\/sqrt(3)*-4)\/(6*2*sqrt(98)*2).\nAnswer: 2*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -3*c + 2. Suppose -a - 1 = f - 0, 0 = 3*f. Let z be a\/2 - (5\/10)\/1. Let r(p) = -p. Calculate z*r(g) - b(g).\nAnswer: 4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 56, 75, 86, 89?\n\"Answer: -4*a**2 + 31*a + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 37.08158 litres to millilitres.\nAnswer: 37081.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + -11 + (51 - 42) + (0 - 12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(75) - (2 + sqrt(75) + 3) - (2*(sqrt(75) + sqrt(75) + 2*sqrt(75)))**2) + -1.\nAnswer: -4806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 315 minutes after 11:05 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 4*j + 8 = -7*u, 4*u = j + 7. Suppose 0*h - 5*h - 10 = 0. Let r = 17 + h. Solve -2*l - r = u*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -60 - -1001?\nAnswer: b61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 74215 is divided by 87?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 70 = -d - 15, 3*x + 3*d - 57 = 0. Suppose -4*q = 2 - x. Let b = -8 + 11. Is q greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -86.668 - -0.168. Let u = c - -86. Which is bigger: 4\/9 or u?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -10921 - -10923. Sort -12, w, -0.08 in ascending order.\nAnswer: -12, -0.08, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10729 is divided by 893?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 7 and 2433?\nAnswer: 17031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 21948 and 5468.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6\/(5*160\/300)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-16)\/(-48)*1103*3. Suppose -2*r - d = -5*t + 489, -3*r - 948 = -3*t. What is the remainder when t\/24*24\/5 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -7*c**2 + 5*c + 4. Let q be 7\/(1\/((-2)\/2)). Let k(f) = 8*f**2 - 4*f - 4. Let d(t) = q*h(t) - 6*k(t). Let m be d(12). Solve -4 = -y - m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = o + 16. What is the tens digit of i(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*w + 20226 = -11454. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -14.96 + 17.102. What is i rounded to one dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -l**3\/4 + 13*l**2\/2 + 231*l\/4 = 0.\nAnswer: -7, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 386 minutes before 4:04 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 99\/(-20) - (-1)\/2 and (27\/(-48))\/((-4)\/12)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -7996\/429 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: What is -0.000361438 rounded to 6 dps?\nAnswer: -0.000361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = -288655 + 495354. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0007284 to 5 dps.\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -1394.3 to the nearest 10.\nAnswer: -1390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 113995 or 113994?\nAnswer: 113994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 10 in -6, -1\/4, -26, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 357826 and 14665.\nAnswer: 1789130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24363118.\nAnswer: 2, 13, 23, 131, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r be -5 - (-8 - (-3 + 3)). Suppose 5*m = -5, 0*l - r*l - m = -83. Calculate the remainder when 51 is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*u - 2*u - 3*u)*(-2 + 7 - 2)*(3*u - 6*u + 2*u) + 0*u**2 + 0*u**2 - 2*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 + 4 - c**3 - c**3 - 1 to b + i*c + d*c**3 + k*c**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 5785430239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 3, b: 13, x: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -41*p**2 + 2*p + 16. Let i(z) = 6*z**2. Calculate m(i(t)).\nAnswer: -1476*t**4 + 12*t**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1121 and 11269?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 37\/3103 and 19\/892881.\nAnswer: 95538267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -52.3 - 0.65776.\nAnswer: -52.95776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -2*i - 2*s + 27, -2*s - 14 = -3*i. Solve -12 = -u - i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2163264 + -313?\nAnswer: -2163610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 2*i**2 - 192*i - 178. What is t(97)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 5160 by 8.\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 484229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 2*z - 7*z - 23 = 0, 2*z = -5*d + 28. Let n(p) = -10*p + p**3 + 14 + 2*p**2 - p**2 - 9*p + 17*p. What is the lowest common multiple of n(0) and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 769, -22, 10 in increasing order.\nAnswer: -22, 10, 769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = 34064 - 20334. What are the prime factors of v?\nAnswer: 2, 5, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 5*j - 9, -3*d - 3*j = -24. Let k be (-2)\/(-12)*(d - 5). Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = n**3 - 5*n**2 + 5*n - 2. Let m be g(4). Suppose m*j - 3*j = -3. Suppose 6 = j*u - 18. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -125509 = -125508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 372037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -566, -991, -1416, -1841, -2266, -2691?\n\"Answer: -425*o - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 74.0962ug to grams.\nAnswer: 0.0000740962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -260 divided by 64644\nAnswer: -65\/16161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3366)\/63)\/(4026\/(-2562))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2605573 is divided by 175?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 1, z: 7, l: 5}. Give prob of sequence tzz.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = k - 3*m + 75, 40 = -k - 5*m. Sort -1, 0, k in descending order.\nAnswer: 0, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 333 = 3*l - 3*d, -393 = -5*l - 4*d. Let x be ((-47)\/(-2))\/((-4)\/8). Let w = x + l. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 576 minutes before 10:20 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12)\/9*(57\/(-6) + 10).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, -2, 2.1, 0.5, -49 in descending order.\nAnswer: 2.1, 0.5, -2, -7, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -17*p**2 + 4*p + 20. Determine m(4).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(605) - (sqrt(605) + ((sqrt(605) + sqrt(605)*1)*2 - sqrt(605) - sqrt(605))))*6 - -3*-1*sqrt(605)*5)**2 + -1.\nAnswer: 441044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does -19 = 8775540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*v - 4*v - 3*v - v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -r - h, -2*r + 0*h + 2*h = -8. Let i be (-18 - r)\/((-40)\/18062). Let s = i - 11750. Calculate the common denominator of -59\/18 and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-114)\/(-4) - (-21)\/14. Let o be (1 + (-1022)\/m)\/((-114)\/(-81)). Let u = o + -1\/190. Find the common denominator of u and -87\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 5, c: 5, z: 6, y: 4}. What is prob of picking 1 v and 3 c?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 685727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1330 + 1330. What is the closest to -33 in m, 0.4, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -181 + 185. Suppose v*d + 105 = 7*d. Calculate the remainder when -309*2*2\/(-12) is divided by d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the second derivative of 23\/20*u**5 - u**3 - 3*u - 1\/6*u**4 + 5\/2*u**2 + 0. Let v be w(5). What is v rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) be the second derivative of 7*a**5\/10 + 11*a**3\/6 - 6*a. Find the second derivative of k(z) wrt z.\nAnswer: 84*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-6 + 1)\/(1 - 2). Solve -b*j - 1 = s, -2*s + 4*j = -19 + 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -102 - 103 = -5*m. Suppose -3*c + v + m = c, c - 5*v = 15. Let r = -4 + 6. What is the lowest common multiple of c and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*y + 57 - 57)*(0 - 3 + 6).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y be 30\/4 + ((-70)\/(-21))\/(20\/(-30)). Let 0*c**2 + 0 + y*c**4 - 10*c + 15\/2*c**3 = 0. Calculate c.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -356767788 - -1.5\nAnswer: -356767786.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 e and 1 t when four letters picked without replacement from tenncecncec?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 58271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from {k: 1, x: 2, l: 1, n: 1, b: 5, t: 5}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 75*o - 74*o - 2*c - 9, -o = 5*c + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is x in x**2\/5 - 2855279*x\/5 + 8565828\/5 = 0?\nAnswer: 3, 2855276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1086347?\nAnswer: 1086347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11095257?\nAnswer: 3, 3698419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = -127 + 127. Is -1\/34 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 minutes before 4:14 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -97, 2, -1\/561, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -4 + -26404?\nAnswer: -26410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 936, 46, 381, -5, 2 in descending order.\nAnswer: 936, 381, 46, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(30)\/((sqrt(10) - sqrt(10)*3)*4).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n = z + 10, 4*n + 33195*z = 33205*z + 52 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -u**3 + 0 + 1 - 6*u - 2 + 6*u**2. Suppose -13 = -4*g - 5. Let z be -10*3\/(-12)*g. Give b(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 16*g**4 - 2*g**3 + 493314*g**2 + 24904811*g wrt g.\nAnswer: 192*g**2 - 12*g + 986628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*g**2\/2 - 24843*g\/2 - 24837.\nAnswer: -3*(g + 2)*(g + 8279)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = k**2 - 10*k + 9. Let j be x(9). Suppose 4 = -2*c - 4*t, j*t + 8 = 5*c + t. Suppose 3*r = 4*r - c. Solve 0*l - r*l - 2*v = -16, 9 = 3*l - 2*v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -160 (base 11) to base 13\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 287*m + 3 + 284*m)*(7*m - 2*m + 4*m) + (2*m - m + m)*(0*m + 0*m + 2*m).\nAnswer: -23*m**2 + 27*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 5.67273 litres in millilitres?\nAnswer: 5672.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*x + 2, -3*l + x + 10 = -x. Suppose 2*g + 3*q - l = 14, 0 = 3*g + 5*q - 28. What is the remainder when 27 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.02 times 34196\nAnswer: 683.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -37*b**2 + 12*b**2 + 25*b**2 + 31*b**3.\nAnswer: 31*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39*m - 35 = -3*g - 47*m, -g = -4*m + 15. Solve -2 = -3*s + h, 6*s - s - g = 4*h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 57.52600802 rounded to 2 decimal places?\nAnswer: 57.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -86\/135 and -11\/3.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f - 14375 = -27. Let z = 13287 - f. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -2, 11, -2\/17, -6, 41\/4, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 11850164 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -276 (base 9) in base 5?\nAnswer: -1411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - -2) + (3 - 20) + 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -7*b. Let d be x(-3). Suppose 0 = -2*c - 25*z + 28*z + d, -90 = -5*c - 5*z. Calculate the remainder when c is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 568 smaller than 568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*z + p - 6, 5*z = -0*z - 5*p. Suppose 20*m + z*r + 42 = 21*m, -5*r - 168 = -4*m. Calculate the greatest common factor of 147 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1112023, 2224042, 3336061, 4448080?\nAnswer: 5560099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + 0 + -49 + 24 + -74 + 48?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 17\/48 and 4\/(-40) - (1003\/(-105) + 6).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3015 + 3089. Solve c = 14*b + 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 10 = 0, -3*n - 6 + 29 = -5*j. Let w = 6 + n. Let b(a) = a**3 + 20*a**2 + 4. What is the smallest common multiple of b(-20) and w?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-172)\/(-14)*(-770)\/7260*-33?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (((-8)\/4)\/2)\/((-6)\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -10927, -10878, -10797, -10684, -10539?\n\"Answer: 16*x**2 + x - 10944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 209 minutes before 3:38 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4369254 is divided by 453?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11969 is divided by 226.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-5)\/(-8) + 7\/(-14). Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = g**3 + g**2 - g + 1. Let x(p) = 5*p**3 + 5*p**2 - 4*p + 57. Let v(t) = 4*s(t) - x(t). Let h be v(0). Round h to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -l - 5. What is k(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -14*t + t + 2886. Suppose -88*l + t = -85*l. Calculate the highest common factor of l and 333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1319 + -600. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -404965, -404983, -405001, -405019, -405037?\nAnswer: -405055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -790 + 546. Let g = s - -247. Solve 0 = -g*k + 5*k + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 696235?\nAnswer: 5, 17, 8191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*t = 40*t + 4*k - 48, -10*t + 6*k = 72 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 8383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 224, 2311, 5774, 10607, 16804, 24359?\n\"Answer: -z**3 + 694*z**2 + 12*z - 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/11 in -12, -9, -2574, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 160 divide 2319200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 53\/5 of a tonne?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -17 + 14 + (0 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*p - n - 22, p = 2*p - 2*n - 8. Suppose -p*a + 27 = w, -2*w - 2*w = -3*a + 44. Solve a = -4*y + 4*b, 4*y = 3*y - 5*b + 16 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3421 = -25*j - 319*j + 5179 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11726 is divided by 622?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the second derivative of 25*s**3\/6 - 15*s**2\/2 - 35*s. Is 10 a factor of x(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 60 and 99450735.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -14215 - -980872\/69. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1362\/3405)\/((-8)\/50).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2970)\/44)\/3*-2*2\/5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 30122 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -15*k + 1. Let q(i) = 76*i - 6. Let b(v) = -15*g(v) - 3*q(v). Let p(d) = d**2 + 3*d - 2. Let h be p(-4). Give b(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k = 42*p - 44*p - 10, 0 = 2*k - 2*p + 2. Which is the fifth smallest value? (a) -3 (b) k (c) -3\/4 (d) 224 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) be the first derivative of w**2 - w - 6. Let a be p(4). Suppose -7*r + 82 = 75. Calculate the highest common divisor of a and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z + 33 = -4*m, -52*z = -56*z + m - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1234 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 + 23 = w. Calculate the smallest common multiple of w and (-10)\/(-55) + 2025\/55 + 7.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2066830 and 213810.\nAnswer: 6200490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 2*w**2 + 5*w - 3095. Let b(l) = l. Calculate d(b(a)).\nAnswer: 2*a**2 + 5*a - 3095","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 567 - 8*t**3 + 6*t**3 - 48*t**2 - 58*t**2 + 106*t**2.\nAnswer: -2*t**3 + 567","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - (-54 + 74 - (1 + 3))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 374809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -14*x**3 + 5*x**2 - 24*x - 21. What is the hundreds digit of u(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s + 6 = 0, 1435*s - 1436*s + 1 = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 73488184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 0 >= 2\/2151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 28658 minus -2673?\nAnswer: 31331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 95*a + 80. What is the remainder when h(6) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 2*c - 1. Suppose -5*h + 3*f + 2*f = -20, -5*f = h - 28. Let b be v(h). Suppose -5*j = -4*j - b. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 275 - 44 = 7*t. Suppose -2*s = -5*d - 77, 3*s - 25 = -4*d + t. Calculate the highest common factor of s and 390.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 30 + (-13 - 25 - -23).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -u + 24. Let g be q(12). Suppose 4*z = -5*a + 12, 4*z = 2*a + 28 + g. Calculate the smallest common multiple of 6\/(-4)*z\/(-6) and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 97340 and 29202?\nAnswer: 292020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -0.2 * 37\nAnswer: -7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -4, 6, -414240 in increasing order.\nAnswer: -414240, -4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2993.3 + -2993. What is the biggest value in 597, -2, k?\nAnswer: 597","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -d**3 + 11*d**2 - 14*d - 5. Let j be g(2). Solve 2*b + 6 = -3*i, -5*i - 15 = -j*i + 5*b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 5469908 and 23300?\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 5*o**3 + 25*o**2 - 77*o - 34. Give h(3).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23455904?\nAnswer: 2, 732997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = -44 - -67. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -a**3 - 7*a**2 + 9*a + 14. Suppose -2*w - 2*w = 5*m - 2, -3*w - 5*m - 1 = 0. Let d be 1 + (2\/6)\/(w\/(-81)). Determine k(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 3*f**2. Let b(y) = -5 + 18*y**2 + 19*y**2 + 17*y**2 - 67*y**2 - y + 0*y. Let m(r) = -6*r**2 - 2. Let k(q) = 2*b(q) - 5*m(q). Determine h(k(w)).\nAnswer: 48*w**4 - 48*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 7*b - 38. Let v(w) = -4*w + 19. Let t(z) = 3*p(z) + 5*v(z). Let s be t(0). Let c = s - -46. Calculate the highest common factor of 18 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -23.79220378 rounded to three dps?\nAnswer: -23.792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 divided by -89.\nAnswer: 10\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -7.768*-0.4437\nAnswer: 3.4466616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (sqrt(143) - (-5*-1*sqrt(143) - sqrt(143)))\/(sqrt(11) + sqrt(11) + sqrt(22)\/sqrt(2)*-5).\nAnswer: -3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 33 - 938624?\nAnswer: -9385a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 36968727 is divided by 1593.\nAnswer: 1569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - c = c - 5, 0 = z - 2*c - 5. Suppose -32 = x - z*x. Let g = -47 + 71. What is the smallest common multiple of x and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*a - 5*c + 9*c + 20, 10*a - 48 = 4*c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*i = -13*y + 4*y + 483, -6373*i + 5*y = -6378*i + 250 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-12)\/((-8)\/2) - 147. Let x be t + (8\/(-2) - -3). What is the units digit of (1 - 24\/20)*x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60 = -11*i - 16. Suppose 7*r = 4*r - 3*v + 27, -i*r + 40 = 5*v. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 243 - 238. Calculate the remainder when 34 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -39 + 45. Suppose -4*u - l = -3*r, -10 = -3*u + u - 5*r. Suppose u = 7*y - 3*y + 3*h - 569, 2*y + 5*h - 267 = 0. What are the prime factors of y?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -25*v - 22. Sort -3, v, 8, -5 in ascending order.\nAnswer: -5, -3, v, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1854 and 7508.\nAnswer: 6959916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/54? (a) 3\/2 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -5414988, -10830003, -16245018, -21660033, -27075048?\n\"Answer: -5415015*v + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-358*y - 432*y - 48*y - 571*y)*(-2*y**3 - y**4 + 2*y**3).\nAnswer: 1409*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 14130 and 1610430.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 406*g - 4058*g + 3263*g + 391*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 266*k + 8 - k**3 - 8 + 0 - 645*k**2.\nAnswer: -k**3 - 645*k**2 + 266*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k be -18*2*(-2)\/3. Suppose -y = 5*q - 40, -k = -3*q + 3*y + y. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 41240 divided by -4124.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -4*n - 46 + 58 - 12. Let x(s) be the first derivative of s**5\/120 + 7*s**3\/3 + 7. Let l(g) be the third derivative of x(g). What is l(d(c))?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 815532*f**2 + 815501*f**2 - 1631060*f**2.\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -108 greater than -10766\/99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1\/12989, 2\/13, -0.07, 4?\nAnswer: -1\/12989","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -180 divided by -45\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(1458) + (-1*sqrt(1458) - sqrt(1458))*5))\/((-6*((sqrt(225) - sqrt(225)*-2 - sqrt(225)) + sqrt(225)) - sqrt(225))*-1).\nAnswer: 81*sqrt(2)\/95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -22 - -36. Let k be 24\/s - (-6)\/21. Solve -7*m + k*m = -10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 71 a factor of 31328882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1193, -5087, -11577, -20663, -32345?\nAnswer: -46623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.274722 kilometers in millimeters?\nAnswer: 274722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 2*h + 4 = -10, 2*k + 13 = -5*h. Let i(b) be the third derivative of -b**4\/8 + 3*b**3\/2 + 20*b**2 - 4. What is i(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2 or -2324?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1 and 320?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x be 7 + (3 - -3) - 7. Let d(j) = 3*j - 12. Let y be d(x). Solve 0 = -3*w + y, 5*h - 4*w = w + 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -21\/116 and -149\/18.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*(q*q**(-2))\/q)**32\/(q**(4\/3))**22 assuming q is positive.\nAnswer: q**(-184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000189177 to 7 decimal places.\nAnswer: -0.0000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(352) + (sqrt(352) - 1*-3*sqrt(352) - sqrt(352)))\/sqrt(8)*5)\/(2*(-1*-1*sqrt(400) + sqrt(400))).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (19\/399)\/(2\/(-6))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = r - 67 - 46. Suppose 3*s - s + 3*o = 36, 0 = 5*s - 4*o - r. Calculate the lowest common multiple of s and (11\/(77\/14) - -4)\/2.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*o**4 + 8165*o**3 - 128850*o**2 + 61360*o + 198400 = 0. Calculate o.\nAnswer: -1, 8\/5, 16, 310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lplp when four letters picked without replacement from {n: 1, k: 4, p: 3, l: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 72, 5, 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 6566 (base 9) to base 15\nAnswer: 1679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = -21 - -21.5. Let n = -1.4 + -0.6. Which is the smallest value? (a) -4 (b) u (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -100021 (base 3) to base 12\nAnswer: -18a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 504968341 to the power of 1\/2, to the nearest integer?\nAnswer: 22472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*r = 11*r + 15. Suppose 168 = 9*z - r*z. Calculate the highest common factor of 42 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1087321, 1087329, 1087337, 1087345?\nAnswer: 1087353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1.80259 rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 99*n**3 - 1 + 238*n**3 + 527*n**3 - 140*n wrt n.\nAnswer: 5184*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15802561 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 16017403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2163 - -2165. Solve -j*b - 2 = -0*b - 3*a, 4*b + 5*a - 18 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 1 c when two letters picked without replacement from ggtocgttgtt?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*a + a = -10. Let f(y) be the second derivative of 0 + 0*y**3 + 0*y**a - 1\/4*y**4 + 3*y. Let h(o) = 2*o**2. Calculate f(h(q)).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from raayanvaa. Give prob of picking 1 v and 1 y.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 4 (b) -2\/203 (c) 0 (d) 1 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*((sqrt(15) + sqrt(120)\/sqrt(2))\/(1*sqrt(12)) - (-1*-2*sqrt(500) - sqrt(500))*5))**2.\nAnswer: 188180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 8976 + -8883.17. What is l rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = y - 12. Let p(a) = -a + 13. What is -5*p(v) - 4*x(v)?\nAnswer: v - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (64 - (-130 - -166)) + -147 + 2?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) be the second derivative of -c**5\/360 + c**4\/36 - c**3\/9 + 19*c**2\/2 - 13*c. Let m(y) be the first derivative of b(y). Factor m(g).\nAnswer: -(g - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) be the second derivative of -2*a**3\/3 - 27*a**2\/2 + 16*a. Let l be x(-18). What is the tens digit of ((-90)\/25)\/((-6)\/l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*c - 74*c - 55480 = 0. Which is smaller: c or -1388?\nAnswer: -1388","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*c + 12 = 56. Let g be 26*c*11\/22. Let y = g + -35. Calculate the remainder when 168 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - 14 = -6. Let j = 14 + -10. Find the third derivative of 3*d**2 + 0*d**2 - j*d**p + 5*d**4 - 10*d**2 wrt d.\nAnswer: 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 66*s**2 + 15*s + 1. Let o be t(2). Let m = 301 - o. Solve -11*k - 25 = -m*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = -3*d + 2*d. Let z = d + 13. Solve -18 = z*p - 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 460*j - 26880 = -820*j for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) be the second derivative of 0*c**3 + 0 - 1\/20*c**5 + 1\/6*c**4 + 24*c + 0*c**2. Find the third derivative of h(z) wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 117\/370 and 23\/74?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = g**3 - 5*g**2. Suppose 0 = -3*m + 3 - 0, -5*y - 1 = -m. Suppose y = 4*f - 8. Let z(b) = b**2. Suppose 10*i = 55 + 45. Calculate f*h(p) + i*z(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -1\/3, -5, 1\/8, 1\/7, 23, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 76 divide 1055807428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00226189 to 4 decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g be (72\/(-42))\/((-3)\/14). Let x(d) = -7*d - 8. Calculate x(g).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5.59 rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 321829 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 35\/496 and -99\/944.\nAnswer: 29264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*j = u - 23*j, -35 = -6*u - j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3.025 - -0.025. Which is the closest to -8? (a) n (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 18*r - 46. List the prime factors of a(11).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -k**2. Let z(f) = f**2 + 11*f**2 + 0*f**2. Calculate z(j(p)).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 20\/2431 at least as big as 335\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000030243 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = -9\/28 + -53\/532. Let u = l - -94\/133. Factor 18\/7*c**3 + 32\/7*c + 48\/7*c**2 + 0 + u*c**4.\nAnswer: 2*c*(c + 1)*(c + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 9, 34, 61, 90, 121, 154, 189?\n\"Answer: h**2 + 22*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1b98522 + -18?\nAnswer: -1b9853a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 586681231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 2929, 35, 9 in increasing order.\nAnswer: 9, 35, 2929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zq when two letters picked without replacement from {r: 3, x: 1, q: 5, z: 11}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) be the third derivative of 3*o**8\/16 + o**7\/210 - o**4\/24 + 13*o**3 - 397*o**2 + 1. What is the second derivative of c(k) wrt k?\nAnswer: 1260*k**3 + 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6316.\nAnswer: 2, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 + 77*m**3 - 129*m**3 + 1 to z + x*m + c*m**2 + j*m**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1721 = -50*z + 4879. Calculate the least common multiple of z and (108\/10)\/((-3)\/(-10)).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 61\/635853 and 23\/2172.\nAnswer: 2543412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -11*x**3 + 9*x**2 + 7*x - 5. Suppose 5*p = 5*c - 15, 3*c - 24 = -c - 2*p. Let n(z) = -6*z**3 + 5*z**2 + 4*z - 3. What is c*n(o) - 3*d(o)?\nAnswer: 3*o**3 - 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = 34.083 - 0.083. Let x = 34.1 - k. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 56*n**3*v**2 - 172*n**2*v**2 + 33*n*v**2 + 104*n + 2*v**2 - 1 wrt n?\nAnswer: 336*n*v**2 - 344*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -v**3\/6 - 4598*v**2\/3 + 4459497*v\/2 - 756105165 = 0.\nAnswer: -10510, 657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 42*13\/(-52)*(-4)\/(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4\/79 in -5, 2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 4*x**2. Let u(b) = 7*b**2 + 20*b. Calculate u(w(c)).\nAnswer: 112*c**4 + 80*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/c**(-1\/11)*c**17)**(3\/22))**10 assuming c is positive.\nAnswer: c**(2985\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s**2 + 5*s + 9. Let a = 3722 + -3725. Determine i(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -12.5 - -15. Let x = 2.2747 + 0.0553. Let d = f - x. Round d to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 127 minutes before 10:46 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 3.012, 116, 0.3 in decreasing order.\nAnswer: 116, 3.012, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -k**3 - 905*k**2 - 6771?\nAnswer: -3*k**2 - 1810*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 231905 is divided by 820?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2)\/(3 + -1)*3. Let f = 5 - 9. Let m = -1 - f. Sort -4, p, m.\nAnswer: -4, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 60 divide 31920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 72 and 20484?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4*4\/(-64))\/((385\/112)\/(-55)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be (1*(-36)\/45)\/(6\/(-3360)). Calculate the greatest common factor of 644 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.1 + 0.3. Let p = 0.2 + c. Let v = 0.1 - 0. Put p, v, 2\/3 in decreasing order.\nAnswer: 2\/3, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ctut when four letters picked without replacement from {o: 1, q: 3, t: 2, c: 1, l: 9, u: 3}.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16468.\nAnswer: 2, 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + -4 + 4 - -1 - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -232*w + 245*w = 741. Calculate the remainder when 304 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -55.44326763 rounded to zero decimal places?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(-3)*t*t**(2\/7)*(t*t**(-2))**(19\/4) assuming t is positive.\nAnswer: t**(-181\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.1, -1, -0.1, 0.5, -144?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -106140 or -17?\nAnswer: -106140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-21)\/z*z\/z**(-8))\/(z**(-1)\/z**17))**(-29) assuming z is positive.\nAnswer: z**(-145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -a**3 + a**2 - a + 1. Let k(l) = 2*l**3 + 20*l - 6 - 6*l**2 + 2*l**3 - 14*l. Give -6*b(r) - k(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*i**2 + 2*i**4 - 4*i + 23*i**2 - 19860*i**3 - 3*i**4 + 19859*i**3 + 2 to the form c*i**2 + g + r*i + b*i**4 + v*i**3 and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = c - 3. Let o be i(3). Suppose o = -0*a - 2*a - 44. Let z = a - -39. What is the remainder when 33 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -d**3 + 17*d**2 - 37*d + 726. Determine k(17).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 + 2 - ((-8 - -8) + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0 (b) 32\/139 (c) 0.3 (d) -2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the third derivative of -r**8\/28 + r**5\/20 + 7*r**2. What is the third derivative of q(f) wrt f?\nAnswer: -720*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -353015 divided by -13?\nAnswer: 27155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = 22256 + 1601. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3, -68, -129, -180?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 8538.1499 rounded to zero decimal places?\nAnswer: 8538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) be the first derivative of -32*i**3\/3 + 18*i - 21. What is the derivative of l(z) wrt z?\nAnswer: -64*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4.41548 rounded to one decimal place?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 46492837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 3 = 4*m. Let y = -3 + m. Sort -1, y, -4.\nAnswer: -4, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 101\/4455 and -52\/605?\nAnswer: 49005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 77\/2 and ((-742)\/4)\/(-7) + (-6)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(-2 + (((6*sqrt(252)*-1)**2 - (sqrt(252) - (sqrt(252) - sqrt(252)*-1)*-5)**2) + 3)*-4)*-6.\nAnswer: -3083976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -2968961 greater than -2969209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 624 minutes after 2:24 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1.7 - 6.3. Let b = 6 + -11. Let y = b - p. What is the third smallest value in y, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, 2\/39, 1 in ascending order.\nAnswer: -0.5, 2\/39, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -3\/14813089?\nAnswer: -3\/14813089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*u - 2*u + 5*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -j**2 + 2*j - 26. Let q be l(4). Let p = -235\/7 - q. What is s in -9\/7*s + 6\/7*s**3 + 6\/7*s**2 - 9\/7*s**4 + p + 3\/7*s**5 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 3*u**2 - u + 1. Let h be i(1). Let p = 13 - h. Calculate the remainder when 18 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*s - 18*s - 61161*s**3 - 92810*s**3 - 9*s.\nAnswer: -153971*s**3 - 32*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-28)\/16 + 89\/(-4). What are the prime factors of 765 + o\/(-9)*45\/20?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (14*(-27)\/(-756))\/(7\/(-56))*(-86)\/8.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*a + 0*a + 3*a - 4*a + 8 + a + 5*a + (-2*a + 0*a + 0*a)*(-2 + 1 - 2) + 4 - 4 - 4*a + (-1 + 3 - 3)*(a + 3 - 3).\nAnswer: 4*a + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 791, 1638, 2509, 3416, 4371?\nAnswer: 5386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -407655356, -815310713, -1222966070, -1630621427, -2038276784, -2445932141?\n\"Answer: -407655357*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 0.178 greater than -185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 5*s + 55 = 2*u, 51 = 5*u - 4*s. Let g(m) = -2*m + 9. What is g(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2578 minus -3485?\nAnswer: 6063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -100 + 201550?\nAnswer: 201450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1179 + -1177. Which is the nearest to 0? (a) -0.05 (b) 4\/7 (c) g (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.649 in 2\/7, 0.4, 2\/9, 11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5514 is divided by 825?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d**5 - 3660*d**4 + 961128*d**3 - 47114656*d**2 - 3033677952*d + 3079835136 = 0.\nAnswer: -36, 1, 126, 412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = b**2 - 8*b - 71. Let r be v(13). Let d(m) = m**2 - 8*m - 65. What is the remainder when 377 is divided by d(r)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48 = -195*a + 187*a. What is the remainder when 63 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 3, e: 4, q: 3, b: 1}. Give prob of sequence ue.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -11\/135 and 8\/45.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = 252 + -436. Let k = 628\/3 + j. Is k less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 11.1 and 6076.069.\nAnswer: 67444.3659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 9.81452 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*h**4\/11 - 6*h**3\/11 - 8*h**2\/11.\nAnswer: 2*h**2*(h - 4)*(h + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -2*y**3 - 12*y**2 - 8*y + 11. Let z(v) = -v**3 - 6*v**2 - 4*v + 5. Let k(w) = 4*r(w) - 9*z(w). What is the smallest common multiple of 78 and k(-3)?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -692 + 1536. Let j = 2531 - q. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -120*j + 15. Let p(k) = -40*k + 5. Calculate 8*p(w) - 3*x(w).\nAnswer: 40*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c be (2\/6)\/(6\/288). Let n = c - 6. Solve -3*m + 2*m = 2*o - 13, 5*m = 5*o - n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -29 + 57. Let d = -89 + 159. Calculate the greatest common factor of d and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j - 25 = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3201*d**2 + 5042.\nAnswer: -6402*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3780 - -3780. Let s(y) be the first derivative of 5*y + 17 + n*y**3 + 0*y**2 + 7\/4*y**4. Find the first derivative of s(q) wrt q.\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 74085?\nAnswer: 3, 5, 11, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 32, -1, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 1 - 2*r + 2*r + 2*r. Suppose 2*u + 0*u = 4. What are the prime factors of g(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-6 + 10 - 17)*(-1 + 1 - 2*w) - 4 + 4 - 3*w as h*w + x and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (119\/952)\/(11\/(-4)).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-28)\/4 - (-1554)\/(-7). Let r = t + 285. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -8*v**2 + 24*v**2 - 7*v**2 - 8*v**2 - 708*v. Let h(l) = -2*l. Calculate z(h(r)).\nAnswer: 4*r**2 + 1416*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12908 divided by 12908.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 4*v**2. Let z(y) = -13*y - 3. Let l(n) = -24*n - 5. Let i(p) = 6*l(p) - 10*z(p). What is i(o(q))?\nAnswer: -56*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 695 (base 16) to base 12\nAnswer: b85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - f**2 - 1)*(-51469 + 51469 - 5873*f) to w*f**2 + p*f + c*f**3 + h and give c.\nAnswer: 5873","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 649 and 792.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -i**3 + 14*i**2 - 20*i - 40. Let p be j(12). Calculate the remainder when 18\/(-4)*(-12 + p) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 + 6 = 5*r - 3*a, -5*a = -3*r - 5. Suppose -3*d - 8*v = -4*v - 7, -26 = 2*d - r*v. Let k be (5 + -6)*(1 + d). Solve -u + 2*u = k for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (3 - (3 - -1)) + 7. Let k = g - 10. Let u = k - -8. Solve u*l - 8 = -0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 13454, 26908, 40364, 53822, 67282, 80744, 94208?\n\"Answer: m**2 + 13451*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is h in -5*h**3 + 111175*h**2 + 69443640*h + 10696508460 = 0?\nAnswer: -306, 22847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = 720 - 725. Let p = 7 - 6.6. What is the smallest value in 3, z, p, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.1, 1\/2, 51, -0.5, 1, 1.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/347? (a) 4 (b) 2\/9 (c) 0.2 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = 4*a + 11, -a - 2*a + 2*o - 2 = 0. Let t be a\/(-7)*(-7)\/(-2). Suppose 5*z - 3*d - 10 = -1, 4*z - 16 = -t*d. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 263.2 in 4, 0.1, 2\/5, 1, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -404022 - -404021.785677. Round k to two dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 4 = 7*t. Let u(d) = -d**3 + 2*d**2 + 2*d + 1. Let k be u(t). Is k greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1508 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in thirty-four fifths of a microgram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t + 2128 = -9*t. Let k = 4119 - t. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/(q\/(q*q**(1\/13)*q)))**(-17)\/((q\/(q*q\/q**(3\/14)))\/(q\/q**(-17))) assuming q is positive.\nAnswer: q**(-3007\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -86263*f + 84595*f - 128436 for f.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4412649 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -96*p + 96*p - 7*p**2. Let n(b) be the first derivative of -8*b**3\/3 - 122. What is n(l(f))?\nAnswer: -392*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/3 in 0.2, -74, 4, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(162) - 5*(sqrt(162) + 1)) + sqrt(162) + sqrt(162)*2 + 4 + sqrt(162) + -1 + sqrt(162) + -4 + 4 + -5)**2.\nAnswer: -126*sqrt(2) + 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand -515*h + 255*h + 4*h**3 - 18*h**5 + 262*h - 4 + 2*h**5 + 4 + (0*h**2 - 3*h**2 + h**2)*(-4*h**3 + h**3 + h**3) + 4*h**5 - 4*h**5 + h**5.\nAnswer: -11*h**5 + 4*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -5594.1435 to zero decimal places.\nAnswer: -5594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Product of 26 and -7.\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 43 + 49 - 8*s - 114*s**2 - 122*s**2 + 237*s**2 - 13*s. Let k be w(15). Factor 78\/5*r**k + 66\/5*r + 12\/5 + 24\/5*r**3.\nAnswer: 6*(r + 1)*(r + 2)*(4*r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 270 minutes before 6:25 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = -191 - -246. What is the greatest common factor of u and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -238818, -238690, -238564, -238440, -238318, -238198, -238080?\n\"Answer: -a**2 + 131*a - 238948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -848.6 and 1829505823?\nAnswer: 1829506671.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -301*c**2 + 315*c**2 - 15*c**3 - 4*c**4 - 2 + 0 wrt c?\nAnswer: -96*c - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 5, j: 3, i: 3}. Give prob of sequence issj.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3 + 0. What is the biggest value in 4\/3, 6, x?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -683*a**2 + 6*a. Let x(o) = 2012800*o**2 - 17680*o. What is -17680*j(k) - 6*x(k)?\nAnswer: -1360*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let 5*r**5 - 132595*r**4 + 397740*r**3 + 20*r**2 - 530320*r = 0. Calculate r.\nAnswer: -1, 0, 2, 26516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q**3\/5 - 141987*q**2\/5 + 1680380592*q\/5 - 1679670732 = 0 for q.\nAnswer: 5, 23662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c - 4*c + 8 = 0. Let l be (0 + c)\/(2\/4). Sort 3, l, 0 in decreasing order.\nAnswer: 3, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 16515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 746031 is divided by 60?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3.2 + 3. Let i be (48\/108)\/(1 + (-10)\/6). Which is smaller: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -13 - -14. Let k be c + 2 - 148\/(-4). Suppose k = 3*r + r. Calculate the lowest common multiple of 4 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*a - 325 = -37. Let q = a + 25. Put -1, q, -0.03 in descending order.\nAnswer: q, -0.03, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(1\/4))**33*a\/a**(-2)*a**(-6)*a)**37 assuming a is positive.\nAnswer: a**(925\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/1494*-3*(-153)\/((-28917)\/(-756))?\nAnswer: -2\/249","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10011 - 100001010011111111001?\nAnswer: -100001010100000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -21 (base 4) to base 2\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (-26)\/((-1820)\/(-126))*25\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-2)\/(-12))\/((-20)\/12 + 2). What is the nearest to 2\/9 in 1, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 668026?\nAnswer: 2, 211, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = v**2 - 2*v + 2. Let x be d(0). What is the closest to x in 1\/5, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -193 + 194. Solve 3 - x = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q = 2*n + 47 - 339, 5*q = -3*n + 438. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 93 + -88. Suppose t - 38 = -u, 2*t + l*u = 56 + 8. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nb when two letters picked without replacement from pddxxxlbbxpnbl.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -3*f**2 - 39*f - 15. Let h be z(-17). Let s = h + 410. Is 25 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 550 - 543. Let k = 65 + -11. Suppose 7*s - s = k. What is the smallest common multiple of s and g?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000003634 rounded to 7 decimal places?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -24642 + 24967 = 6*o + 7*o for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.602 - -0.102. Which is the smallest value? (a) i (b) -3 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(847) - sqrt(847)*-1)*2 - 6*2*sqrt(847))**2 - 2*(sqrt(847) + -1 + sqrt(847))*6.\nAnswer: -264*sqrt(7) + 54220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is g in 5*g**3 - 110*g**2 + 105*g = 0?\nAnswer: 0, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 6*d - 5*d + 2 = 0, -s - 4*d = -12. Suppose -2*j = -2, -t + 245 = s*t + 5*j. What is the remainder when t is divided by (2\/4)\/((-5)\/(-30))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22987747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3\/12 + (10\/24 - 1). Let y = 86 - 94.1. Let t = y + 8. Which is the nearest to w? (a) t (b) 0.5 (c) 0.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 97457?\nAnswer: 41, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 99*m + 1033*m + 3270*m**2 - 3269*m**2.\nAnswer: m**2 + 1132*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 9 + (-2 - (-5 + (3 - -6)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 39180971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 799431928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 0 - (-2 + (1 - -2) + 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**15)**(1\/7) assuming p is positive.\nAnswer: p**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1012497287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*l**3 - 1913094*l**2 + 457488211950*l + 1372481853750.\nAnswer: 2*(l - 478275)**2*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -485*l + 337. Let d(i) = 121*i - 90. Give -15*d(f) - 4*m(f).\nAnswer: 125*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1 - (-22)\/(-18) - (-184840)\/72?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-16)\/(-7) + 4\/(-14). Suppose 2*g - i + 5 = -0, 3*i - 15 = 0. Solve w + r = -g*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 21*j + 1983. Determine d(-95).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 34179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4231*a**6 + 2409*a**4 - 69518109*a**2 wrt a.\nAnswer: 507720*a**3 + 57816*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Add together -460.75 and -1160011519.\nAnswer: -1160011979.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 184 minutes before 1:04 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*h + h - h)*(-4*h + 2*h + 0*h) + 4 - 4 - 2*h**2.\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 0 equal to 347\/6537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 98*t - 30*t - 66640 = 0. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9822 is divided by 7985?\nAnswer: 1837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -164 + 3?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 208737 and 243.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1144171 and 1043.\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 101736546601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (-3 + -2 - -5)\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**2*g*(g**(-4)*g)\/g)\/(g**(-3)*g*(g\/(g*g*g*(((g*g\/g**(2\/17)*g)\/g)\/g)\/g*g*g))\/g))\/((g**(2\/19)\/g)\/((g\/((g**7\/g)\/g))\/g*g))**29 assuming g is positive.\nAnswer: g**(-27187\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 12901.4 decades to months.\nAnswer: 1548168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11038271 - 158.\nAnswer: 11038113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) be the second derivative of 97*m**4\/12 + 70*m**3 + 3*m + 91. Find the second derivative of v(r) wrt r.\nAnswer: 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -68.2 - -72. Let b = 85 - 81.13. Let u = i - b. Round u to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -4 (b) 47 (c) 1001 (d) 15.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 123224 and 46209.\nAnswer: 369672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.4? (a) 1 (b) 3 (c) -4 (d) 0.275\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mf when two letters picked without replacement from jnjjjfmjfwwjmm.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iiqxixkxxi. Give prob of picking 1 q, 1 i, and 1 k.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 42*d + 59 - 6 = -73 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1266.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.073 times -17.705?\nAnswer: 1.292465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 97\/768 and -169\/240.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -42*o + 44*o - 2*w - 30 = -6*w, -5*o = -2*w - 99 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -85 + 85.5. What is the third biggest value in 0.06, k, 2\/5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 21*c**4 + 19*c**4 - 27 - 2*c**2 + 25 - 14*c**4 + 59*c**4 as x + r*c + b*c**3 + g*c**4 + v*c**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - 4 = -16. Let i(o) = 2*o - 8. What is the units digit of i(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -2*f**2 + 87*f - 587. What is the remainder when 765 is divided by w(33)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8 times -2.105?\nAnswer: 16.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:27 AM and 7:00 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = 213 - 90. Let s = n - 70. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.14 + 0.84. Let i = -0.3 + m. Suppose 4*j = -3*n - 9, -4*j + 7*j - 5*n = -14. What is the second smallest value in j, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + sqrt(833))*-2 + -5)*2.\nAnswer: -28*sqrt(17) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3 - ((-12)\/24)\/(1\/284). What is the highest common divisor of 290 and y?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 37\/5 of a minute in seconds?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*n - 2*n = 247. Let p(h) = -h + 5. Let l be p(3). Suppose 4*t - 142 = -2*g, 0 = l*g + 3*g + 15. What is the remainder when t is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 17*c**3 - 14. Let z = -428 + 432. Suppose 9*m - 4*m = z*b + 32, 4*m = -3*b + 7. Let w(r) = 6*r**3 - 5. Determine b*q(o) + 8*w(o).\nAnswer: -3*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.055 + -2.955. Let v = 1.1 - i. Which is the third smallest value? (a) 0.2 (b) -2\/13 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -134*g + 6279. Let s be l(47). Sort -3, -14, -1, s, 4 in decreasing order.\nAnswer: 4, -1, -3, -14, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 4*c - 1. Suppose 4*h - 12 = -0*h. Let b = 57 + -37. What is the remainder when b is divided by u(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 - (-8 + -4) - (-2 - (14 + 0)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -261, -1015, -2273, -4035, -6301, -9071?\nAnswer: -12345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1.87 - -1.97. Let l(h) = -2*h - 8. Let v be l(-6). Which is the nearest to 0.06? (a) 3 (b) u (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -6 - -28. Let t = j + 2. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3492911591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 20978049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 19456 (base 13) to base 4.\nAnswer: 23332321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1007*h**6 + 206*h**4 - h**2 + 18234028*h wrt h.\nAnswer: 120840*h**3 + 4944*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 40\/3239 and -31\/2?\nAnswer: 6478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) be the first derivative of -2*d**3\/3 - 15*d**2\/2 - 13*d - 20. Let j be p(9). Let a = j + 543. What is the remainder when a is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) be the second derivative of -a**5\/20 + 11*a**4\/12 - 3*a**3\/2 + 3*a**2 - 6*a. What is the remainder when 47 is divided by v(10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1449971?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -2*b**3 + 25*b**2 + 9*b + 26. Let m(k) = -3*k**3 + 27*k**2 + 8*k + 28. Let y(u) = 4*m(u) - 5*v(u). What is the hundreds digit of y(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -102*u - 66. Let a(b) = 3*b + 2. Let x(v) = -132*a(v) - 4*t(v). Let l(r) = -3*r. Calculate l(x(q)).\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from irlllxclclxicllclrx.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand r**5 - r**5 - 7*r**5 + (0*r**4 + 0*r**4 - r**4)*(0*r + 0*r + 3*r) + 22*r**5 - 31 + 31.\nAnswer: 12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 32.96752 * -0.5\nAnswer: -16.48376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*v + 5*v - 3*g - 5, 0 = 4*v - 4*g + 4. Suppose -2*x = -v*x + 28. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 324 minutes after 11:07 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 7, -2, 4, 3, -288, 2, -12 in descending order.\nAnswer: 7, 4, 3, 2, -2, -12, -288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) be the first derivative of d**7\/210 - d**5\/120 + d**3\/3 - 4. Let q(l) be the third derivative of u(l). What is the second derivative of q(r) wrt r?\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/8 and 278\/140 - (-2)\/(-7).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -2*s + 1. Let o(v) = v**3 + 22*v**2 + 21*v + 34. What is the remainder when o(-21) is divided by k(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 90 and 73125?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 133089 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0 - -7. Let o = i + 53. Suppose 0*f = 3*f - o. Solve -8*t - f = j - 4*t, 0 = 2*j - 2*t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 356 divide 457901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the third derivative of -1\/6*d**3 + 0 + 0*d - 7*d**2 + 1\/24*d**4. Determine j(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = f**2 - 4*f - 10. Suppose 0*h + 4*h = 0. Suppose -3*t - 2*a + 11 = h, -4*t + 3*a - 20 = -9*t. Determine g(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -26 + 16. Let n = s + 14. Which is the second smallest value? (a) n (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 510593424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 473 - 83 = 4*z, 0 = 3*c - 4*z - 585. Suppose 1173 = 19*w - c. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2805058433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor h**2\/6 + 559*h - 16795\/6.\nAnswer: (h - 5)*(h + 3359)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 + 2*g + 2 - 2*g + 2*g - 2*g + g - 2*g + 3*g + (0 + 3 - 1)*(2*g - g + 0*g) - g + 4*g - g - 2 + 2 + 2*g + 2*g - g + 0*g - g + 4*g - 2*g + 2.\nAnswer: 10*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 12 = -4*p + 3*q, p - 4*q - 20 = 0. Suppose 5*m - 13 = -p*j, 4*j = 5*m + 47 - 4. What are the prime factors of j + (0 - -3) + 0?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -11*c**2 - 9*c**6 + 4*c**6 + 4*c**6 wrt c?\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 658 - 662. Sort 6, -10, b, -5 in descending order.\nAnswer: 6, b, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 1 - 4)*(y**2 + y**2 - 3*y**2 + (-4*y**2 + 4*y**2 - y**2)*(-1 - 1 + 0) - 2*y**2 + 0 + 2 - 1).\nAnswer: -y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 5250 and 1780520?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 52067022 and 1428?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (2\/(-4))\/(-1 + (-7355)\/(-7360)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1239768\/1943795 + 788\/1295. Let z = m + -6\/79. Let v be 182\/42 - 15 - (-1 - 28\/(-20))*-25. What is the second smallest value in 2\/11, -5, v, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 5 - 11 = 0. Let k be (-4 + (-20)\/a)*(2 - 3). Let p be k\/72 + 167\/8. Solve -2*r - 5*z + p = 0, r + 3*z - 8 = 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 591*0.19\nAnswer: 112.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:39 AM and 8:07 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 1862 = -4*z - 1100, -4*p - 2*z + 2354 = 0. Calculate the remainder when p is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -234, -0.3, 23, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 4 - 5)*(-5*x - 12 + 12) - 2 + 2 - 3*x + 2392*x - 15 + 82 - 67.\nAnswer: 2399*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 1 = 0, 3*w + f = 31 + 165. Suppose -w = -5*o + 3*c, 3*o + c = 2*o + 13. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = q**3 - 28*q**2 - 116*q - 383. Give f(32).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.9970068 and 6439?\nAnswer: 6438.0029932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -255451, -255453, -255455, -255457, -255459?\n\"Answer: -2*w - 255449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -3*r**2 + 85*r - 180. Let o be d(26). Let c(g) = 19*g**3 - 2*g**2 - 2. Let f(w) = -w**3 + w**2 - w + 1. Give o*f(q) + c(q).\nAnswer: 17*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 39*z + 200. Let m be u(-5). Solve 4*i + 4*t = -8, m*i + t + 12 = -3*t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 305 divide 2827966870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32560?\nAnswer: 2, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -t**3 + 22*t**2 - 22*t + 42. Determine w(21).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 31780, 31774, 31764, 31750, 31732?\n\"Answer: -2*j**2 + 31782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 6*o = 52. Let l(g) = -4*g + 7. Let m be l(-6). Let k = m - 18. What is the highest common divisor of k and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -386*r + 1472. Calculate g(5).\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 251\/2232 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -6*c + 7. Let r be b(-5). Let d = -34 + r. What is the greatest common factor of d and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-7)\/(-8) + (5 - 6))*3.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2\/8 - 18\/8. Let d(n) = 3*n + 1. Let t be d(s). What is the nearest to 2 in 2, 0.3, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - (1 + -63 + 29 + (136 - 142)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 2*h + 15 - 1 = 0, -h = 3*c - 17. What is the closest to 2\/7 in 4, c, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - 28.99.\nAnswer: -24.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1828243 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1510 + 2953\/2. Let r = -199\/6 - w. Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 198 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {b: 1, m: 1, k: 1, r: 3, t: 1, e: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 20 (b) -0.01 (c) -5\/3 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + t)*((-2 - 2 + 2)*(-2 + 9 - 1) - 9 - 2 + 2).\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = -3*w - 25. Let r be (-2)\/(w\/2 + 2). Suppose r*v - v = 60. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 6 + (38 - (-41 - -85)) + (-1 - 51).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0 (b) -2893 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 37006 + 37004 + 8*t**3 - 74006.\nAnswer: 8*t**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100100110100 - -101001?\nAnswer: 100101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) be the first derivative of 0*w**3 - 214*w + 253 + 1\/4*w**4 - 63\/2*w**2. What is the derivative of d(f) wrt f?\nAnswer: 3*f**2 - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 25*f**4 - 1540*f**3 - 1895*f**2 + 478290*f + 191520 = 0. Calculate f.\nAnswer: -16, -2\/5, 21, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**2\/3 - 50*s\/3 + 96.\nAnswer: 2*(s - 16)*(s - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 166751*w**2 - 588*w**4 - 424*w**4 - 168297*w**2 wrt w.\nAnswer: -24288*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 + 4 - 4)*(2*o + 0 + 0) - o + 2*o + 0*o - 3*o + 4*o + 0*o + 578*o + 36*o + 221*o + 396*o - o + 6*o + 3*o to l + v*o and give v.\nAnswer: 1237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = c**3 + 4*c**2 + c + 6. Let k be a(-3). Solve d = -i + 4, i - 4*i - k = -5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/(-14)*(-623)\/(-178)*-4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -498, -489, -468, -429, -366, -273, -144, 27?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*r**4 - 2*r - 4*r**3 + 2*r**4 + 1 - 6*r**3 + 1 + 14*r**3 to b*r**4 + m*r**2 + d*r + g*r**3 + u and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 120288102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 267 a factor of 297972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = 62.44908 - 88.459. Let i = -26 - v. What is i rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 1852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17346881 is divided by 344?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (53 + 41 + 13)*(0*h + 2*h - 3*h)*(-19 + 20 + 3*h - h).\nAnswer: -214*h**2 - 107*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhuh. What is prob of picking 2 h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = 188 + -208. Is (-54980)\/(-12) + (3 - f\/(-12)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = j**3 + 4*j**2 - 12*j - 9. Calculate v(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Determine b so that -195*b**2 + 597*b - 36 = 0.\nAnswer: 4\/65, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -34 + 136 = -17*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-150)\/4)\/15)\/(4\/8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -r + 9. Let p be o(7). Suppose -p*b = b. Let d = 4 + b. Solve 0*n - 20 = -d*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 703, 704, 705, 706, 707, 708?\nAnswer: 709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be 9\/(-6) - (-6)\/(-4). Let p(j) = -4*j + 3*j - 6 + 2. Determine p(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 1 - 3)*(-4*h + 2*h + h) - 3*h + 9*h + h + (-2 + 5 - 1)*(-4*h - 3*h + 5*h) + 2*h + 2*h - 5*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*c**3 + 3*c**3 - c**3 + (-3*c**2 + 0*c**2 + 0*c**2)*(2*c - 4*c + 0*c) to u + w*c**2 + v*c**3 + n*c and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -q - 7505 = 4*l - 7490, -q + 15 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22884 is divided by 95?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) be the first derivative of -p**6\/6 - 357*p**5\/5 - 4*p**3\/3 - 66*p - 291. Find the third derivative of m(b) wrt b.\nAnswer: -60*b**2 - 8568*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41*c = -29*c. Solve c = -2*r + 8 - 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5\/5*6412\/28.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -5 and -3.84496?\nAnswer: 19.2248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/5)\/(1734\/1445)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16503 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -40, -150, -334, -592, -924?\nAnswer: -1330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1485c + -22?\nAnswer: 1483a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh biggest value in 7\/2, -78, -0.1, 0.1, -4, -2, -3?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 83345 - 83335. Suppose 1\/4*m**2 + 100 + x*m = 0. Calculate m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -4, -1749, 9, 4 in descending order.\nAnswer: 9, 4, 0, -4, -1749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/3 in 5, -3, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -144064046 divided by -100114\nAnswer: 1439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1010 + -111101010010110101?\nAnswer: -111101010010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 17918 = -769612*c + 769901*c for c.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vdwgdkgagggggddg. What is prob of sequence gd?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 16) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 147680 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor y**4\/4 - 641*y**3\/4 - 22917*y**2\/4 - 22275*y\/4.\nAnswer: y*(y - 675)*(y + 1)*(y + 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t = -720 - 544. Let w = 677 + t. Let p = 996 - w. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -456 + 458. What is the closest to m in -2, 0.5, -5, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = -0*q + 17. Find the first derivative of -q*w**3 + 6 + 30*w**3 - 5*w**3 wrt w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1792888 + 898657 = -73*u - 899560 for u.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = f**2 + 4*f + 23. Let u be z(-5). Let a(v) = -21 - v + 49 - u. Let k(h) = -h + 1. Give a(o) + 2*k(o).\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-12)\/(-18) - 13\/(-3). Let u be (14\/(-5))\/(1\/t). Is 214\/14 + u\/49 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.1, -2, -4, 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 24*h - 30. Determine m(-4).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor z**5 - 197*z**4 - 799*z**3 - 1003*z**2 - 402*z.\nAnswer: z*(z - 201)*(z + 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 172 is divided by 168.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:58 AM and 12:27 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = p**3 - 26*p**2 - 8*p + 70. Let t be x(25). Let c = -742 - t. Calculate the remainder when 116 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 20*o**2 + o. Suppose 4*d = 4*k - 3*k, d - 2*k - 7 = 0. List the prime factors of c(d).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -85 less than or equal to -105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1724115 and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:38 PM and 6:29 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u be 17056\/14 + 2\/(-7). Let h = u - -1302. Suppose 4*w = 2*w + h. What is w rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 66, 34, 11857 in increasing order.\nAnswer: 1, 34, 66, 11857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*w - 9329 + 2487 = 0. What are the prime factors of w?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 16573\/5260 + -1\/1315. What is the common denominator of y and ((-52)\/(-6))\/(288\/22)?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 4\/(-22) - 276\/(-66). Suppose -3*l = -h*d + 802, -4*d + 3*d - 4*l + 210 = 0. Let s = 298 - d. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 8232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1 + 9470a?\nAnswer: 94709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 66094 is divided by 159.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -19 + (-33 - -62 - -9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1 + -1 + 2)\/2. Suppose t = 6*k - 4*k - 24. Calculate the remainder when 33 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -25782, -103084, -231904, -412242?\n\"Answer: -25759*s**2 - 25*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -374 - -373.9921. Round n to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 + -10 + (531 - 529) - (-1 + 2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*v**5 + 91*v**2 - 122*v wrt v?\nAnswer: 40*v**3 + 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -7608 + 7608 - 2*l. Let f(o) = -o**2. Give f(m(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 65 divided by 5210?\nAnswer: 13\/1042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 4 + -2535314?\nAnswer: -2535310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:45 AM and 12:00 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {g: 2, f: 1, j: 2, i: 3, t: 6}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1\/3647 (b) 5 (c) -5 (d) 496 (e) 3\/4 (f) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) be the first derivative of -12*z**3 + 32*z - 35. Differentiate o(y) wrt y.\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00003387 to six decimal places.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 355160, 710333, 1065506, 1420679, 1775852, 2131025?\nAnswer: 2486198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 12.9 + -13. Put 2\/11, t, -2, 3 in descending order.\nAnswer: 3, 2\/11, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2805143622 to the nearest integer?\nAnswer: 52964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 4 = -2*d - 4*l, 5*d - 3*l = -21. What is the units digit of (-6 - -9)*(-14)\/d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = s**2. Let q(n) = 67*n**2 - 162*n**2 + 2 + 0 + 64*n**2. Calculate o(q(h)).\nAnswer: 961*h**4 - 124*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1472329 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u + 3*p = 19, 6*u - 4*p + 22 = 4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in 1\/4, -1, 0.08, 2\/63, 0.0741?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 27175501, 54351001, 81526499, 108701995?\nAnswer: 135877489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 13*a**3 - 190349*a**2 - 58289879*a.\nAnswer: 78*a - 380698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1080777694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/8 of a kilometer in meters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -149\/29277066 and -49\/7482?\nAnswer: 29277066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -6, 1492, -4, 0, -1.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4 - 2. Suppose 0 = -3*m + m + 2. Suppose 4*t - m = n, 2 = 3*t - 2*n - 0. Is t bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 3\/(-2) - (3\/3)\/(-2). Let f = 125\/11 + -2911\/231. Which is smaller: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (2\/(-4))\/((-3 + 7)\/(-2296)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1\/38 - -9\/19. Let d = -3.04 - -3. Let y = d + -3.96. Put y, f, -0.3 in descending order.\nAnswer: f, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = x**2 - 4*x. Let a(i) = -2*i**3 + i. Let j be a(-2). Let l = 11 - j. What is the units digit of o(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 8593, 69016, 233023, 552406, 1078957, 1864468?\nAnswer: 2960731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (33 - 58) + -67 - -34.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.656 + 0.256. Let y(n) = n**3 + 4*n**2 - 5*n - 21. Let b be y(-3). What is the biggest value in b, d, -14?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.51317044 rounded to two dps?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*b + 187 = -164. Is -289*(45\/b + (-6)\/(-39)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 9\/13, -2\/7, -0.5, -1\/5, 2\/9 in decreasing order.\nAnswer: 9\/13, 2\/9, -1\/5, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - g = 2980. Suppose t = -4*t + g. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 773084244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1381 = 11*q - 11940. What are the prime factors of q?\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 6, q: 4, k: 5}. What is prob of picking 1 x and 1 k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0 + 0.6. Let k = 345 - 347.6. Let t = q + k. Is t less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/784*-8*7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -33*q**3 - 886*q**2*s**2 + 11*q**2*s - 13997*q*s**2 + 5*s**2 - 27*s wrt q.\nAnswer: -198*q - 1772*s**2 + 22*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 1 - 1)*(-k + 0*k + 3*k) - 3*k - 3*k + 0*k - 51*k - 57*k - 65*k.\nAnswer: -177*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 56817754 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 2286595 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*i - 72 = -36*i. Let f = -6 + 10. What is the lowest common multiple of f and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 197 and -1.86?\nAnswer: -366.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -z**3 + 12*z**2 - 13. Let a be w(12). Let y = a - -17. Let h be 1\/((-3)\/(-6)*2). Solve -5 = -c + y*u, -3*c - u + h = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 times 0.0315672?\nAnswer: -0.0315672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10878.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -83\/21021 and -13\/6615.\nAnswer: 945945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2344 and 2344.\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3673397*y**4 + 615815 wrt y?\nAnswer: 14693588*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3\/5*b**2 - 123\/5*b + 126\/5 = 0. Calculate b.\nAnswer: -42, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 43 - 44. Let g be 0\/(-2 - 1 - d). Solve 1\/2*i**4 + g + 6*i**2 - 4*i - 3*i**3 = 0 for i.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00565 take away 2641.954?\nAnswer: -2641.94835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 145 < 145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = -45 - -45. Let x be (-15)\/(-12)*(i + 4). Suppose 0*g + 35 = q - 2*g, -2*g + 223 = x*q. What are the prime factors of q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 41377577.\nAnswer: 29, 53, 26921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 612225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) be the second derivative of 0 - 1\/2*d**3 + 1\/6*d**4 + 0*d**2 + d + 1\/4*d**5. Let k(b) = -b**3 + b. Let u(n) = -4*k(n) - w(n). Factor u(a).\nAnswer: -a*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*d - 2*d**2 - 3*d + 6*d - 4*d**2 - 4*d**2 + 6*d**2 + (-4 + 4 + d)*(5*d - 2*d - 4*d) in the form t + l*d**2 + u*d and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-48)\/170 - (-4)\/10. Let z = -255\/166 + 1453\/1162. Sort z, h, 0.06, 5.\nAnswer: z, 0.06, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 247.4 and 0.4?\nAnswer: 98.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-36)\/(-3)*(-3 + (-15)\/(-6)). Is 1 - -2 - (c + 12) - -4274 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.05, -23, 8, 4\/5, -1\/7, 0.3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 8) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 13, o: 5}. What is prob of picking 3 z?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 4 = 4*r, 19*r + 10 = -5*w + 24*r. What is the closest to 1 in 2\/7, w, 1\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.5 + 3.5. Let q = -132\/13 - -10. Let y = 0.1 - 0.2. What is the nearest to y in 0.05, q, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 9, -108, 2\/9, 0.4, -1.3, 1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -3*(-38)\/(-27) + 6\/27?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(76)*2 + -5*sqrt(76)*-1)\/((sqrt(432) - (sqrt(432) - sqrt(432)*1))\/(1*sqrt(432))).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 11446 and 13570.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/24)\/(2\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (14\/(-49))\/(12\/(-518)) - 14.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6 - 18*o + 1 + 10*o + 13*o to j*o + l and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = 99 - 99. Let n(v) be the first derivative of -1\/3*v**5 - 2 - 2\/9*v**3 + d*v + 7\/12*v**4 + 0*v**2. Find g, given that n(g) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 439 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 165 divided by -55\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 0.25, -13, 1\/3?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 122332 (base 4) to base 5.\nAnswer: 23401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -5, 5, -146 in descending order.\nAnswer: 5, 4, -5, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 6*a - 13. Is 47 a factor of q(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 2*u**3 - 6*u**2 + 5*u - 3. Let a(s) = -s**3 + 3*s**2 - 3*s + 2. Let t(y) = -11*a(y) - 6*r(y). Calculate t(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 471908 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6 - -2. Let b be p\/(-2) - 3 - -3. Does 4 divide b\/(-7) + 390\/42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-2 + ((sqrt(98) + -1)**2 + -3 - (sqrt(98) + 0)*3)).\nAnswer: -70*sqrt(2) + 188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.104 + -5.104. Which is the nearest to -2\/9? (a) 0 (b) -1 (c) h (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -73 (b) 0.5 (c) -4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*q**3\/3 + 109588*q**2\/3 + 751416844*q\/3 + 3748869620.\nAnswer: 4*(q + 15)*(q + 13691)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -o - 4*r + 17, 3*r = -4*o + 2*r + 23. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 940681633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve o - 3*j + 4 = 0, 0 = 3*o + 2*j - 4*j + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 159537 and 35997.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-6)\/8*40\/(-15). Suppose i*n - 7 = -3. Let w be -1 + 1 - n*-66. What is the greatest common divisor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 5*m + 2945 + 9828 = 0, -3*m = 3*d - 38355. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -540102355*i**4 + 2*i**2 + 29167*i + 3857?\nAnswer: -12962456520*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 47 divide 10058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 49095 a multiple of 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1125 + -1120. Solve b + 31*o = 36*o - 5, 3 = x*b + 3*o for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = u**3 + 2*u**2 - 1. Let r be q(-1). Let h be (-23580)\/(-27)*12\/5. What is the tens digit of h\/40 + (r - (-6)\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12415855899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 134, 2\/19, 4, -0.2, 39 in increasing order.\nAnswer: -0.2, 2\/19, 4, 39, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the first derivative of 183 - 96*n - 7\/3*n**3 + 0*n**4 + 8\/5*n**5 + 0*n**2. Differentiate c(z) wrt z.\nAnswer: 32*z**3 - 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 693130?\nAnswer: 2, 5, 69313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = 18 + -15. Suppose -f = r*f - 1652. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(153)*5*-4)\/(sqrt(144)*-1*6).\nAnswer: 5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 36019 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2031 - 222. Let g(w) = -3*w**3 - w**2 - 45*w + 79. Find the common denominator of g(2) and c\/84 - (-2)\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 9782 = 968324\/99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 1186296203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 186, 180, 166, 138, 90, 16, -90?\n\"Answer: -k**3 + 2*k**2 - 5*k + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 54644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (52\/20)\/((-28)\/70)\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express (-9 + 5 - 2)*(-303 - 14*a + 303) as r + g*a and give g.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 27081589349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*f + 56 + 9 = 5*w + 30*f - 19*f, -2*f + 50 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1284142445 + 1284142445 + 252*m**2.\nAnswer: 252*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a - 3*a = -6, -f + 3*a = 4. Let j be 1 + -1 + -8 + f. Let s(c) = -2*c - 1. What is the units digit of s(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:43 AM and 6:46 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -l**2*q**3 + 468204*l**2 + 2041916*q**3 wrt l.\nAnswer: -2*l*q**3 + 936408*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -10*r. Suppose -40*s + 4*s + 1872 = 0. Let y(l) = -l + 2. Let q be y(0). Let g(v) = -3*v + 3*v - 54*v**q + s*v**2. Calculate g(d(w)).\nAnswer: -200*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 63 and 56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 310333800.\nAnswer: 2, 3, 5, 7, 37, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 4*j - 5*u = -37, u = 5*j - 99. Solve h + j = -3*q, 4*q + 47 = -3*h + 15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -842.4 + 842.45. What is the third biggest value in q, 11, 3.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -621*i**4 - 15*i**2 - 13*i - 92. Let g(h) = -310*h**4 - 7*h**2 - 6*h - 45. Let r(q) = -13*g(q) + 6*p(q). What is the derivative of r(f) wrt f?\nAnswer: 1216*f**3 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -472\/171 - -82\/19. Calculate the common denominator of x and 40\/559.\nAnswer: 5031","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3168 and 121024?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 11799996*m**3 - 364840*m - 3?\nAnswer: 70799976*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:21 AM and 12:08 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -45*s + 43 + 91 = -1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -a - 0*a + 6. Let j = -1.534 + -0.466. Which is smaller: j or a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) be the second derivative of 7*m**4\/18 + m**3\/9 - 2*m**2 - 92*m. Factor r(q).\nAnswer: 2*(q + 1)*(7*q - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -162740 or -162741?\nAnswer: -162740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -130800 rounded to the nearest 1000?\nAnswer: -131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7.476 + 0.524. What is the closest to 2\/9 in -1\/5, 1, g, -1\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2065503 is divided by 104.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 140788 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from kklrkuuk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) be the first derivative of 44*f**3\/3 - 23*f**2\/2 + 273. Let c(i) = 15*i**2 - 8*i. Determine -17*c(o) + 6*k(o).\nAnswer: 9*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = -7 - -9. Solve -w*a + 3 = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -752 or -0.4?\nAnswer: -752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*4*((sqrt(168)*2)\/sqrt(7) - sqrt(24)))\/(4*1*sqrt(648)*2))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -11366\/5 - -11367\/5. Factor 0 + 0*v + x*v**2.\nAnswer: v**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 4, -0.6, -4, 30, -0.086?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 251866631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -3*u - 13. Let n be 465\/(-75) - 2\/(-10). List the prime factors of i(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1100101 - -10001?\nAnswer: 1110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 379704 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = -43 - -123. Suppose o + 4*h - 22 - 22 = 0, -45 = -o - 3*h. Let g = p - o. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2261 and 91477.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the third derivative of r**5\/12 + 100*r**4 + 48000*r**3 - 232*r**2 + r. Factor y(u).\nAnswer: 5*(u + 240)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 383845 is divided by 383845.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 14 = 2*o, 0 = -2*j - 0*o + 2*o + 46. Is 21 a factor of (-206)\/(-10) + 8\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -324, 3\/2, 0, 2052?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out 17.8 + -145166165.\nAnswer: -145166147.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 23\/20479755 and 41\/105.\nAnswer: 143358285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4400 is divided by 88.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from {p: 4, d: 2, n: 3}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.4 - -1.4. Suppose -s - 65 = -0*y - 3*y, 5*s = 2*y - 377. Let p be 99\/1089 - (-62)\/s. Which is bigger: v or p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 100066958 to the nearest integer?\nAnswer: 10003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) be the second derivative of -w**7\/1680 + w**6\/360 - w**5\/240 + w**3\/2 - w. Let i(m) be the second derivative of o(m). Factor i(h).\nAnswer: -h*(h - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by -91489.\nAnswer: 3\/91489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 422 divided by -50\nAnswer: -211\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00175981271 rounded to four dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 14786 to the nearest one hundred.\nAnswer: 14800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 84283.4 micrometers?\nAnswer: 8.42834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -726 - -31222\/43. Let f = d - -27\/172. Which is the third biggest value? (a) -0.4 (b) 0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3008 + 3031. Solve 25*p = 24*p - 2*v - 1, m = 4*p - v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 608, 1783, 3746, 6503, 10060, 14423, 19598?\n\"Answer: b**3 + 388*b**2 + 4*b + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/(-60))\/(10\/(-25))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 1, l: 1, w: 1, b: 1, a: 1, e: 1}. What is prob of picking 1 w and 2 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Let n be (-4)\/6 + -4*(-94)\/24. Suppose 4*s - 7 = 33. What is the greatest common divisor of n and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 2*m**2 - 4*m - 3. Suppose -29 = -5*i - 3*x, 2*x + 2 - 8 = 0. What is the remainder when u(-2) is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 113 is divided by 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = 212 - -318. Let w(g) = g**3 + 5*g**2 + 3*g + 15. Let a be w(-5). Suppose -m - m + i = a. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 62477040 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 77\/78 and (-24)\/(-156)*13 + (-5468)\/2496?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -5*z**2 + 4115*z - 4110 = 0. What is z?\nAnswer: 1, 822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*m + 8*m + 1994. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*l = 4*n - 13*l - 228, 114 = 2*n - 5*l. What is the remainder when 681 is divided by n?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 48 - 29. Suppose 81 = u + 2*u. Let k = u - f. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1.44887 to 2 decimal places.\nAnswer: 1.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 342034192 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 62 + -9?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6360 divided by 15.\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.5 and 1072.1.\nAnswer: -536.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = -12 + 12. Let p = 79992\/5 + -15998. Which is the third biggest value? (a) 3 (b) x (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 477 = 3*d, -3*d + 11*n = 8*n - 471. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 239793461 a multiple of 2080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = 50 - 50. Suppose o = 5*y + 29 - 79. What is the highest common factor of y and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2314633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*-1*(-12)\/304*22\/33?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 69 = -0*a - q, 0 = -3*a - 4*q + 68. Suppose -a*y = -14*y - 1146. Suppose 2*u = -u + y. List the prime factors of u.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(242) + 0 + -3 - -4*(sqrt(242) - (1 + sqrt(242)))) + 0)**2.\nAnswer: -154*sqrt(2) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:06 PM and 9:51 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = -24 - -34. Calculate the highest common divisor of a and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 3b - 38?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -66 + -8?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -875833 to the nearest ten thousand.\nAnswer: -880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that 4*a**5\/3 - 1016*a**4\/3 + 3624*a**3 - 14688*a**2 + 26316*a - 17496 = 0.\nAnswer: 2, 3, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 58 - (-92 + 34 - -121)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0*2*(-4)\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(6\/11)*p*p**(-4)\/p assuming p is positive.\nAnswer: p**(-38\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 - -1 - (-302 + 306).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 39*d - 5 = 34*d, 6 = 3*k + 3*d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2 or -622646?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 0, -3, -0.4, -1\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(3 + (sqrt(12) - sqrt(432))\/sqrt(6)*2).\nAnswer: -60*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -8 - -10. Let n be (2 - 5) + (-6)\/s. Let r(o) = o**3 + 5*o**2 - 6*o - 6. What is r(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -9502, -18974, -28444, -37912, -47378, -56842, -66304?\n\"Answer: t**2 - 9475*t - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-155 + 155 + 20*z**3)*(4*z**2 + z**2 - 3*z**2) - 2*z**5 + 4*z**5 + 0*z**5 + 5*z**5 - 3*z**5 - z**5 + 4*z**2.\nAnswer: 43*z**5 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22240?\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 0.09 (b) 2\/7 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = -2*v + 144. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 8015280 divided by 12\nAnswer: 667940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -378 or -377?\nAnswer: -377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 2*v + 3 = 0. Sort v, 10, -1 in decreasing order.\nAnswer: 10, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2911135, 5822365, 8733595?\nAnswer: 11644825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 0.3, 4\/7, 0.4, -1\/2.\nAnswer: -2, -1\/2, 0.3, 0.4, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = 201 - 62. List the prime factors of z.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-56*j - 709 + 709)*(8*j - 2*j + 9*j)*(2 - 2 - 2*j).\nAnswer: 1680*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 256 a factor of 273317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 214*4\/8 - -5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/12215 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 71 a factor of 13561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -71, -263, -583, -1031, -1607, -2311, -3143?\nAnswer: -4103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -436 + -51660?\nAnswer: -52426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -466994671 by -85327.\nAnswer: 5473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2\/(-5) + (-672)\/(-80). Let s(v) = -813*v - z*v**2 + 813*v. Let w(f) = 2*f**2. Give s(w(n)).\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -0.2, 6, -317, -240?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = -0*c - 3. Suppose 0 = 2*w - c*w. Suppose 0 = -w*m + 4*m + 2560. Round m to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 393, 3156, 10649, 25236, 49281, 85148, 135201?\n\"Answer: 394*x**3 + x**2 + 2*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -289366702 at least -289366703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 715 minutes after 5:51 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = -22577 - -22594. Calculate the highest common divisor of t and 13379.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*w**3 + 120*w**2 - 1311*w + 2166.\nAnswer: -3*(w - 19)**2*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -193669.0938 rounded to the nearest 100?\nAnswer: -193700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3694, -3914, -4134, -4354, -4574?\nAnswer: -4794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 121\/63 + -15\/7. Let g = -6 + 5. Is g at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43*d + 6591 = 2*z + 42*d, -4*d = 4*z - 13164. Calculate the remainder when z is divided by 157.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10 + 33*s + 10.\nAnswer: 33*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 2752.213 minutes in microseconds?\nAnswer: 165132780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*y + 5*y + 3*l - 3, -5*y - 2*l + 7 = 0. Suppose a + 2 - y = 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -138*t**4 - 121*t**2?\nAnswer: -3312*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -11*b**2 + b - 6*b**2 + 0*b + 0*b. What is o(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 1973.49 and -7.31.\nAnswer: -14426.2119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 98 minutes before 12:48 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) be the third derivative of -11*x**7\/1260 + x**5\/120 + 85*x**4\/12 - x**2 + 223*x. Let a(v) be the second derivative of s(v). Determine a(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -320 = -526*l + 1342 + 3072 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = z + 3*w - 5, -4*z + 153 - 88 = -3*w for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*k - 2 + 17. Let n be 0\/(6 - (0 + k)). Suppose n = 2*d + 7 - 15. Solve -o - 9 = -3*j + 5, 12 = d*o + 5*j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 189*q = 179*q + 4*o + 34, 4*o + 4 = 2*q + 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -33062 times -0.1\nAnswer: 3306.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/(-52)*(-44)\/((-7040)\/(-59280)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = f**2 - 18*f + 13. What is j(17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j be 19\/190*-2*0. Let q(g) be the second derivative of -3\/100*g**5 + 16*g + 1\/10*g**3 + 1\/20*g**4 - 3\/10*g**2 + j. Suppose q(h) = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 999598319?\nAnswer: 317, 503, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -12*y - 16. Let z(i) = -5*i - 9. Let d(n) = 4*u(n) - 9*z(n). Suppose -4*t + 0*t = -24. Let q be d(t). Which is the closest to 0? (a) q (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xwvrxvy. Give prob of sequence yxvv.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 54 + -50. What is the tens digit of ((-5)\/k*10)\/((-6)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3 - -3. Suppose 2*l + 0*l - 4 = d. Let o(p) = -p + 1. Let w be o(5). Sort w, -2, l in ascending order.\nAnswer: w, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11 - -101010110100011110111?\nAnswer: 101010110100011111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 117 a factor of 548847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 2, 6, 14, 26, 42, 62?\n\"Answer: 2*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -2, -3, -1 in ascending order.\nAnswer: -3, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = 86.21 - 86.210010121. What is f rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 36228 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 233*g + 16104. What is the remainder when 440 is divided by t(-68)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1143078 to the power of 1\/2, to the nearest integer?\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 695*c - 701*c + 84. Calculate the greatest common divisor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -w**3 + 44*w**2 + 267*w + 275. What is t(-4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/(-9))\/(-5*9\/945).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 347202, 1388651, 3124400, 5554449, 8678798, 12497447?\nAnswer: 17010396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*c**2\/9 - 112531168*c\/3 - 1582907971430528.\nAnswer: -2*(c + 84398376)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 92289.39 seconds to microseconds.\nAnswer: 92289390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 131\/378879810 and 14\/27.\nAnswer: 3409918290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by 22?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 96*b**5 + b**4 - 70*b**3 + 6*b**2 + 43167*b.\nAnswer: 5760*b**2 + 24*b - 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Are 1 and -171183 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/(j\/((((j\/j**(-4\/11))\/j*j)\/j)\/j))*j\/((j*j*j\/(j\/(((j**11\/j)\/j)\/j)))\/j))\/((j\/(j**9*j))\/(j\/j**6)) assuming j is positive.\nAnswer: j**(-51\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 210 - 33910*a**2 - 33931*a**2 + 67840*a**2 + 2*a.\nAnswer: -a**2 + 2*a + 210","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -17390, -5, 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -791\/8 - -99. Which is the second smallest value? (a) 0.12 (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is m in m**3\/4 - 3022*m**2 - 108925*m\/4 + 157261 = 0?\nAnswer: -13, 4, 12097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (0 - -3 - -104) + 3?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*l = 24*l - 30 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -27*s**2 + 0*s + 0*s + 8*s**2 to the form n*s**2 + z + d*s and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(-3\/2)*h*h)\/(h*h\/((h**4\/h)\/h)))\/((h\/h**(2\/3))\/h)**(-10) assuming h is positive.\nAnswer: h**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwwzzww.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = 13\/2 - 6. Let a(w) = -2*w**2 - 4*w + 9. Let m be a(-3). What is r in 0 + r**2 - 1\/2*r - o*r**m = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -32*s**3 - 2*s**2 - 26*s. What is the hundreds digit of c(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ahhuinda. Give prob of picking 1 h and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 4026303751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3 or -2.16504?\nAnswer: -2.16504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 6987755, 27951009, 62889765, 111804023, 174693783, 251559045, 342399809?\n\"Answer: 6987751*t**2 + t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2667182 is divided by 156893.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.07 + -0.33. Let u be -1 - 2\/4*-2. Which is the third smallest value? (a) y (b) u (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 751937419 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -817*a**3 - 824*a**3 - 824*a**3 + 2467*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = 3*g + 554, 0*h = -3*g + 5*h - 574. Which is bigger: g or -181?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s**3 + 2*s**2 - 11*s. Let a(y) = 2*y**3 + 14*y. Give -3*a(t) - 4*c(t).\nAnswer: -2*t**3 - 8*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = -29906 + 29911. Let t(u) = -u**2 - u + 14. Let d be t(0). Solve g*q - 3*m = -2*m - d, -2*q - 7 = m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = k + 30. Let g be z(-24). Find the second derivative of -113*p + 3 - 3 + 131*p**4 - g*p wrt p.\nAnswer: 1572*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one twentieth of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -9*m + 11. Let u be y(5). Let o = u + 36. Suppose o*g = -g + 2343. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j*j**(-22))**36\/(j*((j\/j**(-2\/9)*j)\/j*j)\/j)**(-2\/91) assuming j is positive.\nAnswer: j**(-589640\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 54.8 times -68.8\nAnswer: -3770.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.18, 2\/21237, 410 in ascending order.\nAnswer: -0.18, 2\/21237, 410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 756714720?\nAnswer: 2, 3, 5, 23, 68543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -4 plus -1731561.04?\nAnswer: -1731565.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 1, j: 1, l: 1, h: 1, c: 1}. Give prob of sequence jlc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*(a**(-2\/7)\/a)\/a*a*a\/(a*a*a\/a**0))**(2\/5)\/((((a\/a**(1\/3))\/a)\/a)**(-21\/4)\/((a\/a**(-1))\/((a**(2\/5)\/a)\/a))) assuming a is positive.\nAnswer: a**(-151\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 27\/(-6) + 3 + ((-13)\/39)\/(6\/18)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -2209100 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = -49 + 53. Let l(d) = d. Let z(y) = y + 5. Let u(v) = 5*l(v) + z(v). Is 6 a factor of u(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 10 and 87574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 154625 and 2825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 517640852 is divided by 86273474?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 18139 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: How many minutes are there between 7:06 AM and 12:43 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 781811750 to the power of 1\/2, to the nearest integer?\nAnswer: 27961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 162699 - 1029 = -z, 7*z = 3*w - 161652. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 28044021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -9*o**2. Let m be -1 + -2*4\/(-16)*-4. Let a(l) = -l - 3. Let q(p) = 3*p + 8. Let v(n) = m*q(n) - 8*a(n). Give v(w(x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(-5)*i)\/(i*i\/(i*i**(-2\/17))))\/(i**(-1\/7)*i**(-3))*(i*i*i**(2\/7)*i*i**0)**(2\/75) assuming i is positive.\nAnswer: i**(-16843\/8925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 11815.61804 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide 182 by -14.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 571, 572, 573, 574, 575, 576?\nAnswer: 577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-10*(-1)\/(-5))\/2. Sort 5, n, -10 in increasing order.\nAnswer: -10, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-18 - (-53 + 24)) + -19?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) be the third derivative of s**4\/6 - 4*s**2. Let n(i) be the first derivative of -3*i**2\/2 + 2. Determine n(m(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -7*s. Suppose 5*j + 4 = j. Let w(b) = b + 1. Let h(u) = 5*u + 4. Let a(x) = j*h(x) + 4*w(x). Calculate o(a(q)).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wqq when three letters picked without replacement from qqwtmwq?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -11, 4, 0.5, 0.1 in decreasing order.\nAnswer: 4, 0.5, 0.1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 2*j**2 - 22*j - 4. Does 26 divide c(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -4 - 4279*l**3 + 4278*l**3 + 33*l + l**2 + 4*l**2. What is d(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -l = -3*a - 4*l - 6, l = -4*a - 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 2*c**2 + 63*c + 182. Let m be q(-29). Solve 2*g = -47 + m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46876 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - 5*i = -30, i = -1 + 6. Suppose -4*u - j = -13. Determine c so that -4\/7*c**u + 0 + 2\/7*c**3 + 2\/7*c = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2509 is divided by 130.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1393 and 6756050?\nAnswer: 6756050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 17 - 61550*b + 100 + 25 + 69 + 61596*b. What is w(-5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -h**2 + 4*h - 1. Let p(c) = 2*c**2 - 5*c + 2. Let u(t) = -4*j(t) - 3*p(t). Let m(b) = -5 - 36*b + 34*b + 2 + b - 2*b**2. Calculate 2*m(o) - 3*u(o).\nAnswer: 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = 164.781969 + -163.54. Let s = v + -125.256169. Let b = s - -124. Round b to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 7 - 14*v**2 - 7 + 15*v**2 - 1. Let k(u) = -4*u**2 + 3. Determine -5*g(h) - k(h).\nAnswer: -h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 198397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = 5500\/9 + -611. Let c(m) be the second derivative of 0 - 2*m - o*m**4 + 0*m**2 - 2\/9*m**3. Factor c(b).\nAnswer: -4*b*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is nine tenths of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4423.\nAnswer: 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k be 34\/14 - 57\/133. Let x(p) be the third derivative of 0 + 0*p + 1\/3*p**3 + k*p**2 - 1\/20*p**5 + 1\/10*p**7 + 3\/8*p**4 - 29\/120*p**6. Factor x(q).\nAnswer: (q - 1)**2*(3*q + 1)*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, 2, -37, -2, -5, -4 in decreasing order.\nAnswer: 8, 2, -2, -4, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = 21 + -19. Solve 0 = -0*p + z*p - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1615759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 5*o + 3. Let b(u) = 2. Let d(w) = -w - 6. Let z(l) = 11*b(l) + 4*d(l). What is -4*m(c) - 6*z(c)?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -36429261, -36429262, -36429263, -36429264, -36429265?\nAnswer: -36429266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -5*s**2 - 10*s**2 - s - s**3 + 2*s + 16 + s**2. Let z be w(-14). Find the common denominator of 6\/11 and ((-1)\/z)\/(27\/(-1062)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -22 - 3224024001?\nAnswer: -3224024023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -h + 1. Find the third derivative of -2*i**6 + 0*i**2 - h*i**2 + 1 - 1 wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = u**3 + 11*u**2 + 3*u + 78. Give q(-9).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 36388 and 4186274?\nAnswer: 1654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l be 25 + -22 - (-1 - -3). Which is the nearest to l? (a) -1 (b) -49 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r\/(r*r*r**4))\/((((r\/(r**(2\/5)\/r)*r*r)\/r)\/r)\/r))\/((r\/(r*r**(2\/25)\/r*r))\/(r\/(r*r**(-2\/7)*r*r*r))))**(-1\/26) assuming r is positive.\nAnswer: r**(1441\/4550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -1524, -1508, -1498, -1500, -1520, -1564?\n\"Answer: -j**3 + 3*j**2 + 14*j - 1540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 609.4813 micrograms to kilograms.\nAnswer: 0.0000006094813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 463012?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -6*c + 16. Let i(x) = -5*x + 15. Let s(a) = 5*i(a) - 4*l(a). Determine s(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 37745144 is divided by 37745141.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -152*m**2 + 2*m**3 + 0 + 0.\nAnswer: 2*m**3 - 152*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1 - -5. Let p = 8 + -5. Suppose -l*q + 0*q = -16, p*k = 2*q + 37. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -1 + 3 + 2*p**2 - p**2 - 5*p. Let y be z(5). Suppose -69 = -2*f - f. Solve 2*u - y*s - 15 = -3*u, 0 = -2*u - 5*s - f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b - x = -2*b - 18, -4*b = 4*x + 88. Let j = -341 + 986\/3. Calculate the common denominator of j and (-247)\/b + (-2)\/8.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2929 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 257 = 2*y + 3*u, u - 5*u - 524 = -4*y. Is 26 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -1, 2, -87 in descending order.\nAnswer: 4, 2, -1, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 8143303 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1083 = -12*a + 15*a. Is a a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1917891780 to the nearest integer?\nAnswer: 43794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5 + -2. Let l be -2 + x + 0 - 2. Let f be (4*l + 1)*1. What is the nearest to 2 in 4\/9, f, -5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 32*r**3 + 15*r**4 - 20*r**3 - 53*r + 113*r**3 - 47*r - 60*r**2 + 20*r**3 = 0. What is r?\nAnswer: -10, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 2*q**2 + 7*q - 16. Let l be k(-8). Suppose 3*c = c + l. What is the remainder when 108 is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-two fifths of a micrometer in nanometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -12*i + 498 - 234. Solve 0 = 7*m + 6 + i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = k + 1. Let x be r(3). Solve -4*u = s + 8, -46*s = -x*u - 44*s + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -33991 or -1393638\/41?\nAnswer: -1393638\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) be the first derivative of -q**6\/420 - 6*q**5\/35 - 36*q**4\/7 - 576*q**3\/7 - 117*q**2\/2 + 20. Let o(a) be the second derivative of g(a). Factor o(w).\nAnswer: -2*(w + 12)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21906886.\nAnswer: 2, 19, 37, 15581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = -24 - -26. Let d(z) be the third derivative of 0*z + 0*z**4 - g*z**2 + 0 - 1\/30*z**5 + 0*z**3. Let k(q) = 5*q. Give d(k(b)).\nAnswer: -50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = 950 - 4225. Is b less than -3276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -z**3 - 6*z**2 - 6*z + 1. Let c be 26\/(-6) + (-8)\/12. Let d be h(c). Suppose 4*x - d*x = -18. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -11 (base 14) to base 10.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*y + 3*s + 83, -4*s + 141 = 4*y - 5*s. Calculate the greatest common factor of y and 2057.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 42*d - 1. Let j be o(1). Let s be (-48)\/9*(-6)\/4. What is the second derivative of 26*q - s*q**2 - 3*q**2 - j*q wrt q?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -8059, -16307, -24555, -32803?\n\"Answer: -8248*x + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 260923 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 124 and 11716.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -y**3 + 7*y**2 - y + 1. Let x be u(7). Let t = 8 + x. Find the third derivative of 0*o**2 - 4*o**2 + 2*o**2 - t*o**3 wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 10 + -4. Let j(l) = 11*l - 6. Let d be j(5). Let c = d + -31. What is the greatest common factor of v and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 23\/140 and (-774)\/110 - 92\/253?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 42417\/11 - 212063\/55. Find k such that -6\/5*k + 8\/5 - d*k**2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:18 AM and 2:32 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Do -538 and 658451 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/11? (a) 0.1 (b) -236 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6330853 is divided by 104.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 6840 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27 = -4*k + 3*t - 5, 2*k - 4 = 5*t. Let w = 5 + k. Calculate the remainder when 35 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 139364*d**2*n*x - 136*d**2*n - 614*d**2 - 12*d*n*x - d wrt x.\nAnswer: 139364*d**2*n - 12*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-352)\/6)\/(-8)*(-105)\/35?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 1432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) be the third derivative of -j**4\/12 - j**3\/6 + j**2. Suppose 6*b - 7*b - 2 = 0. Calculate the remainder when t(b) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (((-48)\/75)\/4)\/((-28)\/13230). Let s = -76 + q. Let y = 1367\/7 - 195. Which is the fourth smallest value? (a) s (b) y (c) -0.1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 4 and 1377844.\nAnswer: 5511376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m**(-1\/3))\/m**2)**7 assuming m is positive.\nAnswer: m**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + 3275 = 3*v, -5*v + 5421 = 438*x - 435*x. Calculate the smallest common multiple of v and 20.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 20*g**2 - 73*g + 1306. Calculate the remainder when r(19) is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 623 - 241. Let b = y - -955. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 532*m + 5. Let k(c) = -4*c**2. Determine k(y(o)).\nAnswer: -1132096*o**2 - 21280*o - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = s**3 - 22*s**2 + 18*s - 41. Let d(j) = 4*j**3 - 86*j**2 + 72*j - 163. Let b(g) = -3*d(g) + 11*q(g). What is b(15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**(-13)\/((o*o**24)\/o) assuming o is positive.\nAnswer: o**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = -24*u + 23*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 59877757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + 1*sqrt(7) - (sqrt(7) - (-2 + sqrt(112))))**2 - (sqrt(7) + sqrt(875)\/sqrt(5) + 4).\nAnswer: -62*sqrt(7) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-25)\/10)\/((-33)\/(-18) - 2). Solve q*m + 64 = 49 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (1\/4)\/(((-42)\/(-23064))\/7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 7 + -5. Suppose -5*d = -b*d - 15. Solve 2*z = -d*j - 1, -j + 0*j - 8 = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 183 + -180. Suppose 2*t = -l + 3*t - o, 0 = -4*l + 2*t - 6. Which is smaller: l or 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find b such that -4*b**5 - 32*b**4 - 80*b**3 - 64*b**2 = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.01 - -0.05. Let u = 0.24 + d. Suppose 0 = 5*w - 4 + 24. Which is the nearest to -1? (a) u (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/5? (a) -599 (b) 537 (c) -1\/5 (d) -4 (e) -8 (f) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 8*y**3 + 2*y**2 - 7. Let u(b) = b**3 + b**2 - 3. Determine 2*u(g) - v(g).\nAnswer: -6*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*c = 8*c - 6. Let y be 32\/(-12) + c\/3. Let w(t) = t - 2. Calculate w(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 6946*a**2 - 6972*a**2 + 1 + 13921*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 938 a factor of 3694782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (-6 + (-184)\/(-64))*(-2)\/5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-24*(-4)\/6)\/2. What is the greatest common factor of 72 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 2027589594 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -93\/13264 and -13\/4974.\nAnswer: 39792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1822429.99951 - 1822523. Let j = 92.814 - -0.186. Let u = j + t. Round u to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1988955 by 243.\nAnswer: 8185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12301.\nAnswer: 12301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 943*q**2 + 20*q - 10. Let j(x) = -69782*x**2 - 1476*x + 738. Determine -5*j(a) - 369*z(a).\nAnswer: 943*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -31 + 26. Let j be 8 + z\/(5\/4). Suppose 0 = -2*v + j*m + 150, -119 = -3*v + 4*m + 100. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2.1 or 0.6162?\nAnswer: 0.6162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 6011*x + 4*u = 6006*x + 69, 5*u - 81 = -x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h**36)\/h*h**(-21) assuming h is positive.\nAnswer: h**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30\/8*2\/(-5).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*b**2 - 26*b**2 + 9*b**2 + 16*b**2 + 0*b**3 - 2*b**3 - 163 to the form j*b + p + o*b**3 + q*b**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -437*h - 440*h + 869*h = -16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 3*a - 6. Let b(d) = d**3 - 33*d**2 - 32*d - 24. Calculate the remainder when b(34) is divided by p(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 9 + 0 + (-2)\/1. Let k(o) = o**3 - 6*o**2 + 4*o + 7. Let h be k(6). Let y = h + -26. Solve -2*w - y*j = -t*w + 5, w = 5*j - 11 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) 0 (b) 434 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = g**3 - 30*g**2 + 19. What is r(30)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 6 - 2. List the prime factors of (5 - 0)\/(c + (-91)\/23).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/40)\/(-2*2\/(-10))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.295139 and -26?\nAnswer: 26.295139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 3*(19 + -6)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -27*v - 475. Let b(j) = 15*j + 236. Calculate 11*b(l) + 6*m(l).\nAnswer: 3*l - 254","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -196 - 499 - 285 = -238*u + 98*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Suppose 37*z = 38*z - 3. Suppose 0 = 4*k + 3*a - 0*a - 113, 0 = -3*k + z*a + 90. What is the remainder when 55 is divided by k*-1*3\/(-3)*1?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = i**2 + 8*i + 13. Let b(y) = 2*y - 10. What is the smallest common multiple of q(-2) and b(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -49 - -22 - -42 - 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -6*p - 64. Let i be m(-31). Differentiate 54*f - f + i + 32*f - 10*f with respect to f.\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wxxxllhwxh?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = -31120 + 31081. Put l, 3\/7, -7\/10 in descending order.\nAnswer: 3\/7, -7\/10, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -1 + 7 + 10\/(-10). Solve -5*y - 20 = -z*n, n + y + 5 + 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 33, 54, 71, 84, 93, 98, 99?\n\"Answer: -2*v**2 + 27*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 11407149 and 11362.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -m**3 - 7*m**2 + 8*m + 6. Calculate f(9).\nAnswer: -1218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u be 22\/11 + -3*1 - 20. Let h be (-9)\/u + (-1302)\/(-49). Solve 3*y = 5*p + h, 3*p + 8 = -1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 42 + -87\/2. Which is the closest to 1? (a) 2\/5 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-w**2 - 2*w + 2*w)*(24*w - 43 + 43)*(-2 + 8 - 1 + (0 + 2 - 1)*(4 - 2 - 4) + 1 + 1 - 3).\nAnswer: -48*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:36 PM and 1:20 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -78707, -157416, -236125?\nAnswer: -314834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*r**4 + r**4 - 6*r**4)*(2*r - r - 3*r) - 41*r**5 + 69*r**5 + 23*r**5 - r**5 - r**5 + r**5.\nAnswer: 54*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 888553.7 days?\nAnswer: 76771039680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 382 by 19.\nAnswer: 382\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 17 + 38 = -11*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) be the first derivative of -n**8\/28 + n**4\/3 - 4*n - 5. Let p(i) be the first derivative of t(i). Find the third derivative of p(x) wrt x.\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find g such that g**4\/7 - 38*g**3\/7 - 521*g**2\/7 - 126*g = 0.\nAnswer: -9, -2, 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-10)*z**(-6)*z**(-4)*z*(z*z**(-1\/6)\/z)\/z)**(25\/6))**(-29) assuming z is positive.\nAnswer: z**(87725\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*y - 8*y - 56*y + 38570 = 0. Calculate the highest common factor of y and 1044.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6 - 26 - 9)*(0*j + j - 3*j) to the form q*j + b and give q.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -4267, -8533, -12795, -17053, -21307, -25557, -29803?\n\"Answer: 2*y**2 - 4272*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -24*z + 2*z + 203 + 61 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xmuamdu. What is prob of sequence muu?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (26\/(-6))\/(-1 + -1) and (-85)\/(-24) - 28\/(-21).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 minus 30947?\nAnswer: -30947.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3639305?\nAnswer: 5, 43, 16927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12)\/(-19)*(39\/(-390)*-6)\/((-12)\/(-190)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 2 (b) 66 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 1394*w + 29. Let a be k(4). Let v = a - 3446. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 153621 - -7.503243\nAnswer: 153628.503243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*((2*(-1*sqrt(78))\/sqrt(6))**2 - sqrt(104)\/sqrt(2)*-4).\nAnswer: -260 - 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(36)\/(sqrt(9)\/sqrt(3)) - sqrt(84)\/(sqrt(14)\/sqrt(2)))\/(-5*4*sqrt(400))*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - (6 + 0 + -3) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1599 and 146874?\nAnswer: 6021834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 266386.\nAnswer: 2, 23, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 1817 + 6177 = 85*g + 2724 for g.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-90)\/(-25))\/((5\/(150\/(-6)))\/(-1)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -16 - (-14 + -38 + 15).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 + 8. Suppose -x + 1 + 3 = 0, s*y - 109 = -x. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 2 = 7. Let j(d) = 11*d**2 + 2*d + 1. Suppose 0 = h, -3*h = -3*m - 0*h + 33. What is the lowest common multiple of j(n) and m?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (sqrt(208)*-5 - sqrt(13) - sqrt(65)\/sqrt(125)) + 3.\nAnswer: -106*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 4.6102 times -1\nAnswer: -4.6102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c*c**(2\/5))**38*(c*c\/c**(2\/7))\/(c*c**(-1)*c)*(c\/c**(-1\/5)*c*(c**4\/c)\/c)**(-2\/13) assuming c is positive.\nAnswer: c**(41527\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 96, 93, 98, 117, 156, 221, 318?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 8*f - 6086 + 6038 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -11 + 17. Let x(r) = -r**3 - 9*r**2 - 5*r - 41. Let z be x(-9). Suppose n*y = z*y. Solve y = h + 1 - 3, 2*h - 24 = -5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5294 (base 16) in base 10?\nAnswer: 21140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y = y - 3*w - 2, -4*y = -3*w - 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4515 + -4475. What is the highest common divisor of v and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -18*h**2*k*q**2 + 10*h**2 - 19035*h*k*q + 7*h*q**2 - 2*k + 18*q**2 wrt q?\nAnswer: -36*h**2*k + 14*h + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + (sqrt(1900) - 1*sqrt(1900)*2))**2 - -5*(sqrt(209)\/(sqrt(99) + sqrt(11)) + -5).\nAnswer: 325*sqrt(19)\/4 + 1891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -13 + -475?\nAnswer: -488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.2923*388.\nAnswer: -113.4124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) be the first derivative of -c**6\/60 + 2*c**3\/3 - 11*c**2\/2 + 11. Let y(o) be the second derivative of w(o). What is the first derivative of y(p) wrt p?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -6 + 75. Suppose 5*p - 5*x - 605 = 0, 2*p = 4*x + 301 - d. Suppose t - p = -t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -66, -1, -20, 5, -1\/7 in increasing order.\nAnswer: -66, -20, -4, -1, -1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from heheehh. Give prob of picking 3 e and 1 h.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -l**3 - l**2 - l - 14. Let v be i(0). What is the least common multiple of -2 + 0 - (v - -1) and 2*1\/2 - -8?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 68 = -z - 3, 0 = -2*z + 4*u + 118. Factor -5*n**2 + 26*n**2 - 18*n + 29*n**2 + 5*n**3 + z*n.\nAnswer: 5*n*(n + 1)*(n + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = n**3 - 14*n**2 - 14*n - 10. Let s be q(15). Suppose -86 = -s*l + 3*x + x, x + 18 = l. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = i + 18. Suppose 16 = -4*p, -4*d - 2*p - 12 - 20 = 0. Calculate the remainder when 106 is divided by f(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -13023912, -26047800, -39071688, -52095576, -65119464?\nAnswer: -78143352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -93*f + 8. Let u(a) = -530*a + 46. Let k(y) = 6*u(y) - 34*z(y). Let j(q) = 9*q - 2. Give 7*j(c) + 4*k(c).\nAnswer: -9*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*q - 7*q + 8*q + (1 + 2 - 4)*(-3*q + 3*q - 2*q).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*d + 13086512 + 13086507 + 15*d - 26173019.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 0 - -632?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 857 - 770 = -3*v - 8*f, -5*v + 20 = -5*f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 71 + -69. Suppose 0 = x*t - 34 + 30. Solve 6 = -4*d + t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((sqrt(204) + -2*(sqrt(204)*3 + sqrt(204)))\/(sqrt(84)\/(sqrt(7)*-3)) + -3 + 2).\nAnswer: -42*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 244 + -101401?\nAnswer: -101124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -o**3 + 7*o**2 + 788*o - 1497. Calculate l(-26).\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = -2*f - 14, 4*f + 18 = -16*s + 15*s. Let h = 0.16 - 0.2. Let i = 0.14 + h. Which is the third smallest value? (a) i (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 141721254 and 141721254 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:17 PM and 2:58 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -17 + -2 + 12 + -8 + 0?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2\/1)\/(1 + 0). List the prime factors of r\/3 - (-32)\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**3 + 35*o**2 - 289*o + 65. Give p(17).\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 80 and 320?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -3*h + 4 + 13*h**2 - 40*h**2 + 41*h**2. Let b(s) = -14*s**2 + 2*s - 3. What is 3*b(m) + 2*x(m)?\nAnswer: -14*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = f + 9. Let h be j(-6). Let r be 1256\/1595*(-3)\/(-6). Let s = -2\/319 - r. Which is the nearest to s? (a) 3\/5 (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 57 + -59. Let v be x\/(-6) - 74954\/33352. Let y = v - 1\/379. Find the common denominator of y and 113\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -113\/2 + 58. Let m = -0.64 - -4.64. What is the nearest to m in 2, 5, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 321269 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when ((-21)\/(105\/2410))\/(11\/(-22)) is divided by 163.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1068584324690672*f + 9*f**3 + 1068584324690672*f.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 6 + 7*g**3 - 7 + 7 with respect to g.\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 1.29*-771.68\nAnswer: -995.4672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (92 - 97) + 67\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 52 + (-7 - 1) + -13 + 5 + 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 less than -2026147?\nAnswer: -2026146.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -12 (base 3) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 292064401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hdhxqxxhixh. Give prob of sequence qh.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 114.1837 years to months.\nAnswer: 1370.2044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -122370 times -0.4\nAnswer: 48948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(88)\/(sqrt(4) + sqrt(16) + sqrt(4)) + sqrt(198)\/(sqrt(9) + (sqrt(36) - sqrt(9)) + sqrt(9)))\/(sqrt(12)\/(-2*sqrt(600))).\nAnswer: -35*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k be 5\/(-2)*32\/(-20). Let a(m) = -m - m - k + 3*m. Let l = 18 + -13. Calculate a(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2.37? (a) -1.4 (b) -9 (c) -2\/9 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*z - 1 + 1)*(-1 + 8*z + 1) + (0*z - 2*z + 4*z - 5*z + 2*z - 2*z + (-3 + 2*z + 3)*(0 + 1 + 1))*(-z - z + 4*z).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = -38 + 22. Suppose 5*i + 5*t = t - 286, -2*i - 114 = 2*t. Let n = o - i. What is the smallest common multiple of n and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -37*i - 48 = -35*i - 18*j, i - 6 = -j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.333679 to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-3)\/2 + (-1182)\/(-12). Let y = -94 + r. Suppose 0*z - 70 = m - y*z, 2*m - z = -150. Which is greater: -75 or m?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 201 = 5*m, -3 - 1 = -w. Suppose 2*s - 5*l = m - 15, -1 = s + l. Solve 5*j + s*i + 16 = 51, 17 = -2*j + 5*i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 463*u**2. Let x(j) = 33*j**2 - 9. Let i(s) = 18*s**2 - 5. Let r(w) = -9*i(w) + 5*x(w). Determine b(r(c)).\nAnswer: 4167*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 - 1 + 2*a**3 + (4*a**3 - 5*a**3 + 2*a**3)*(2 + 4 - 5) + (3*a + 2*a - 2*a)*(-5*a**2 - 6*a + 6*a).\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -35*a + 40*a. Suppose 2*v - 5*v + 33 = a. Let h = -10 + 11. What is the highest common factor of v and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + d + 31 = -13, -3*y + d + 126 = 0. Let q = y - 39. Solve -2*p - 4 = 3*k, p - 3*k - 5 - q = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -536 - -756. Let u = -40 + y. Does 36 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 5\/165402389 and 5.\nAnswer: 165402389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m be -28*(-2)\/20*5. Let z(o) = 11*o - 2 + m*o**2 - o**3 - 4*o**2 + 9. Is z(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4339\/10860 + -1\/2172. Let n = 4 - 2. What is the nearest to f in -1\/3, n, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 703 minutes after 4:33 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -28014, -112046, -252106, -448200, -700334, -1008514?\nAnswer: -1372746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12\/(-15)*(-21)\/14.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 2*o**3 + 55*o**2 - 29*o - 27. Let r be w(-28). What is the nearest to r in 2\/7, 0, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -190, -386, -580, -772, -962, -1150?\n\"Answer: s**2 - 199*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = -x, -2*x = -0*h + 5*h - 3. Let b be -3 - (-2 + 0 - h). Let t(u) = -u + 13. List the prime factors of t(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y - 4*p = -355 + 1046, 4*p - 119 = y. Let l = -135 - y. Suppose l = m + d + 4, -4*d - 15 = 1. Solve 2 = j - m*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 4*o + 19 - 7 = 0, -4*g - 4*o = -28. Suppose 5*j + 7 = -3*l, 7*j - 2*j = 5. Let c be (g - 1) + l*1. Sort -6, c, -2, 4 in descending order.\nAnswer: 4, c, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5 + 4. Let q = 5 + n. Suppose 0 = r - q*r. Which is the nearest to r? (a) -0.2 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) be the second derivative of -s**3\/6 + 8*s**2 - 2*s. What are the prime factors of o(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -125 (base 8) in base 3?\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 786 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 728707524?\nAnswer: 2, 3, 541, 112247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = 46 - 44. Suppose 19 + 23 = m*c. Suppose 3*d - 27 + c = 0. Solve -2*a = d*x - 10, -a - 7 = -x - 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d, 1 a, and 1 g when three letters picked without replacement from {g: 1, d: 1, r: 1, u: 1, v: 1, a: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u*u*(u*u**(2\/7)*u)\/u*u*u)\/(u**6*u))\/(u\/(((u\/u**(-6)*u)\/u)\/u)*u**(2\/13)))**42 assuming u is positive.\nAnswer: u**(1710\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 80 = 5. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b - 6 = -0. Let y = b - -17. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 132 = -7*b + 13*b. Suppose -b*h = -15*h - 14. Factor 0 + 128\/19*d**3 - 96\/19*d**h + 18\/19*d.\nAnswer: 2*d*(8*d - 3)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -2*b**3 - 13*b**2 + 5*b - 9. Let g be (0 - -7)*4*247\/(-988). Calculate w(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -p = -3*m + 12, -11*m - 2 = -18*m - 2*p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(567) + -2)**2*-3 + sqrt(567) - (1 + sqrt(567) + -2).\nAnswer: -1712 + 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1350643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1711?\nAnswer: 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*h - 10*h + 29*h**2 + 2*h**3 - 11*h**2 - 25*h.\nAnswer: 2*h**3 + 18*h**2 - 16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(91) - (sqrt(91) - (sqrt(91) + -5*sqrt(91)) - sqrt(91)))*3)\/(sqrt(1008) - (sqrt(1008) - -4*sqrt(1008))) + -2)*1 + 2.\nAnswer: 3*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 269770 and 530.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Are 15 and -21064 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 237602 to the power of 1\/2, to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -26663, -35076, -43501, -51944, -60411, -68908, -77441?\n\"Answer: -w**3 - 8406*w - 18256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 6.613035 months to millennia.\nAnswer: 0.00055108625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 401 + 4?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 257053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -11, 40, 180, 11, -3 in increasing order.\nAnswer: -11, -3, 11, 40, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1251\/68 (b) 2\/11 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -52, -633, 1, 38, -15 in increasing order.\nAnswer: -633, -52, -15, -5, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 569281153*m**2 - 1164*m - 95444 wrt m.\nAnswer: 1138562306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h**2 - 496386*h + 2978424 = 0. What is h?\nAnswer: -165468, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 7658197679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:39 AM and 11:18 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hddhh. Give prob of sequence hhhd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -19*n**2. Let g(j) = 470409*j**2. Determine b(g(l)).\nAnswer: -4204407918339*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(5) - sqrt(15)\/(sqrt(9)\/sqrt(3)))*-5 - sqrt(15)\/sqrt(3)*4*3)**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*a + 128257 = 7874 - 20342. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) be the second derivative of -n**8\/560 + n**5\/5 + 11*n**3\/3 - 15*n. Let c(h) be the second derivative of y(h). Find the second derivative of c(k) wrt k.\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.7071124602 to five dps.\nAnswer: -0.70711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*h = 6*h - m - 36, -h - 2*m + 45 = -29*h + 33*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/(9\/(-4) + 2). Suppose -p - g + o = 2*g, -2*g = -4. Suppose p*z = -17 + 47. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 6 - 1 + 3 - 2820*i**3 + 2810*i**3 in the form h*i + f*i**2 + u*i**3 + s and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -358*u = -4*z - 355*u + 270, -3*u = 18. What is the greatest common divisor of 1233 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -143*j. Let r(i) = 9*i. What is -2*n(a) - 33*r(a)?\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (29 + 9 - 21)*(6 - 4*r - 6 - 2*r + 0*r + r - 4 - r + 4 + (-2 + 2 + 2*r)*(-1 - 3 + 3) + r - 4*r + 4*r + r + 0*r - 2*r + 2*r + 0 + 0).\nAnswer: -102*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*g - 0*g + 9. Let j(t) = t**2 - 3*t. Determine j(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 436.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.3 (b) 1.2 (c) -1.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Product of -210.4 and -0.23.\nAnswer: 48.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/503, -2\/71, 0.4 in ascending order.\nAnswer: -2\/71, -2\/503, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = 247 - 223. Let o = 23 - a. Let z(i) = i**3 + i. Let h(x) = 3*x**3. Calculate o*h(f) + 2*z(f).\nAnswer: -f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1458185?\nAnswer: 5, 59, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*d - 3*v + 17, -2094*d + 3*v - 11 = -2095*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -v**2 - 37*v - 127. What is r(-33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = b**3 - 9*b**2 - 8. Let l be t(9). Let o = l + 8. Suppose o*j + 3*j = 39. What is the remainder when 36 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 136 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 3362*b**2\/9 - 61172*b\/9 + 278258\/9.\nAnswer: 2*(41*b - 373)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) be the third derivative of 67*n**5\/30 - 155*n**3\/6 + 86*n**2. Differentiate t(d) with respect to d.\nAnswer: 268*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2797154?\nAnswer: 2, 1398577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 11211 (base 4) to base 11\nAnswer: 2a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-3))**33 assuming r is positive.\nAnswer: r**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-556)\/(-20) - 2\/(-10). Let p = 48 - z. Suppose -1 = v - p. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 17 = -3*m, 8*m = 3*m + 5. Let z = 1 + -4. Let w = z - -5. Solve -2*u = -2*x, -17 = h*u + w*x + 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 350267411 - 5*r - 350267411 - 73*r**2 + 5*r.\nAnswer: -73*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -s. Let j be o(3). Let p = -3 - j. Let b = 0 - -6. Solve -b*c + c - 25 = p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4145013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = 177 + 79. Let t be 44\/10 - (-4)\/(-10). Suppose 0 = 5*z + 3*g - 1021, -4*g - 548 = -t*z + i. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.29 in 0.5, -2, -0.09?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 685 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 11 + 16 + -55 + 24?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7155 is divided by 46?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w be 699\/2*(-42940)\/(-339). Round w to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = w**2 + 4*w - 3. Determine r(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4, 20, -3768.5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 803.\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2551\/10188 - 1\/2547. Put d, 0.1, 8\/55 in descending order.\nAnswer: d, 8\/55, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) be the third derivative of g**4\/24 - 7*g**2 + 7. Let d(j) = 6*j + 41. Let w(c) = -34*c - 206. Let i(p) = 11*d(p) + 2*w(p). What is l(i(t))?\nAnswer: -2*t + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -141 - -149. Calculate the remainder when 30 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 1\/24 of a hour?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -5650 - 129*l - 2*l**4 - 646*l**2 + 131*l + 161*l**3 + 646*l**2 wrt l.\nAnswer: -8*l**3 + 483*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1371 + 1360 - (-2 + 2 + (15 - -1))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 513751?\nAnswer: 7, 23, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7\/((-1050)\/(-12)) + 1481220\/375 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -u**2 + 0*u**2 + 3*u**2 - 67*u.\nAnswer: 2*u**2 - 67*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -47, 4, 5, 2 in increasing order.\nAnswer: -47, -4, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 3*w - 13 = 0, -3*w = 2*j - 4*w - 33. Suppose -4*o = -5*o + j. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 65\/54 and 89\/828.\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = -18798 + 31841. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.062 and -1.743.\nAnswer: 0.108066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/(m*m**(3\/2)\/m))\/(m\/(m*(m*(m*m\/(m\/(m\/m**(2\/23)*m)))\/m*m)\/m)))\/((m**(2\/13)*m)\/(m\/(m\/(m*(m\/(m\/m**1))\/m)*m))) assuming m is positive.\nAnswer: m**(753\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(sqrt(500) - (3 + sqrt(500))*-4)**2 + (((sqrt(350)*1)\/sqrt(10))\/sqrt(7)*6)**2.\nAnswer: -25108 - 2400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-28)\/(-12)*531\/6195?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -70, 3, -6, 1, -1, 27.\nAnswer: -70, -6, -1, 1, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 1 + b**2 + 3*b + 0*b - 2. Let w be (-2)\/(-9) - (-280)\/36. Let v(g) = -4*g**2 - 4 - 5*g + w - 5*g. Give -7*j(c) - 2*v(c).\nAnswer: c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*1*sqrt(68) + 5*(sqrt(68) - (-2*sqrt(68) + sqrt(68))))\/(6*(sqrt(4) - 1*sqrt(4)) + sqrt(32)\/(sqrt(24)\/sqrt(3))).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -129, -493, -1101, -1953, -3049?\n\"Answer: -122*k**2 + 2*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 538 and 1?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 279 minutes after 7:32 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 219337 (base 13) to base 2.\nAnswer: 11000001001110110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the first derivative of 0*h + 4\/39*h**3 + 1\/13*h**2 - 1 + 1\/26*h**4. Let g(w) = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (23 - 22)\/(2\/(-514)). Let y = -385 - u. Is y*(-2 + 0 + (-14 - -15)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) be the first derivative of -127*h**4\/4 + 3*h**2\/2 + 798*h + 406. Find the first derivative of l(k) wrt k.\nAnswer: -381*k**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -j**2 + 23*j + 21. Let x(o) = o**2 - 12*o - 11. Let t(z) = -3*s(z) - 5*x(z). Suppose 317 = -7*a + 37. Let p be ((-24)\/(-20))\/(8\/a). What is t(p)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -45*s + 222. Let a(n) = -229*n + 1111. Let o(p) = 2*a(p) - 11*u(p). What are the prime factors of o(11)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1129.8 + -1135.8. Let z = -7 - -7.3. Which is the third smallest value? (a) z (b) -4\/3 (c) 2 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (3 - 8) + 0 + 1. Let c be -5*m\/8*-6. Let u be -3 + (-3 - 10)*c. What is the highest common factor of 24 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -55\/756 and -107\/432.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = 2*a - 218 - 184, 6 = 2*a. Suppose i = 4*o - 77. Let z = -403 + 414. Calculate the smallest common multiple of z and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*r - 3*r = -6, 0 = -2*s + r + 246. Calculate the remainder when s is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0, -5\/4, -1, 3, -78.12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4 + 33\/8. Let l = 4 - 5. Let j = -0.9 - l. Which is the biggest value? (a) -4 (b) h (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/(t**(-4\/15)\/t))\/(t\/(t\/(t*t\/(t**(4\/9)*t*t)))) assuming t is positive.\nAnswer: t**(122\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b = -3*c - 42, 0 = 4*c + 5*b + 4810 - 9604 + 4823 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(-4 + 1 + (sqrt(76) + (sqrt(76) - sqrt(76)*-2*2))**2)*-5.\nAnswer: 13665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -1303046 greater than -1303014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 q and 1 x when four letters picked without replacement from qqqqqxxqwwxqxxxqxxq?\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: ((-77)\/((-11935)\/(-62)))\/((-2)\/(-10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 270 divided by 54?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.2161 - -0.1261. What is the nearest to 0 in t, 1\/3, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12542791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 41545550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -106\/3 bigger than -396\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1563996 and 819236.\nAnswer: 17203956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n and 2 a when four letters picked without replacement from {n: 1, a: 14}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -3 = q + 2*i, 50*q + 11 = 53*q + i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 6*h**4 + 102 - 144 - 35*h**4 wrt h?\nAnswer: -116*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i = -25, -5 = 2*s - i + 4*i. Let h(l) = -l**3 - 11*l**2 - 9*l + 14. Let y be h(s). Suppose -29 = -y*c - 9. Is c > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2979709 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2262 is divided by 206.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x be (1 + (-15)\/6)*-2. Solve 0 = -4*r - 4*a - 28, -6 = x*r + a + 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -465 (base 8) to base 14\nAnswer: -181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that -2*s**3 + 23276*s**2 + 1192278*s = 0.\nAnswer: -51, 0, 11689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 43*o - 125*o - 1808 - 2447 = 103*o for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -45534 + -23325?\nAnswer: -113303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 24 = -0*p. Factor -4*c**3 + p - 15*c**2 - 8*c + 12 - 15.\nAnswer: -(c + 1)*(c + 3)*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in one fifth of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2 + -0.5. Let k = d + 0.1. Let l = k - 2. Sort 3, l, 1 in descending order.\nAnswer: 3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 23714 and 284?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 11202 and 912162057?\nAnswer: 5601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -24.43 - -29.43. Let j = -9\/26 - 2\/13. Suppose -2*w - 2 = -0. Which is the closest to j? (a) w (b) s (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 25879*r**3 + 207754*r**2?\nAnswer: 155274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 3\/9260 and 36\/53245.\nAnswer: 212980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*m**4 - 3138*m**3 + 150480*m**2 + 1869426*m - 122584995 = 0 for m.\nAnswer: -27, 39, 995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 23440?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8361 is divided by 137.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z be -5*(7\/(-5) - -1). Suppose 3*k + 48 = 111*p - 106*p, -12 = 3*k - p. Put -4, k, z, -13 in descending order.\nAnswer: z, k, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r**35)\/r)**31 assuming r is positive.\nAnswer: r**1085","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 668032931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h be 6\/(-123) + 1 - 1. Let r = h + -33\/164. Let y = -39\/145 + 2\/29. Which is the third smallest value? (a) y (b) r (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1\/((-6)\/4) + (-671)\/33. Let b(d) = -d + 3*d - 8*d. Let r(x) = 12*x - 29*x + 16*x. What is c*r(w) + 3*b(w)?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 35238653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -2*m + 6. Let y be v(6). Let n(f) = 2*f - 1. Let w(l) = l - 1. What is y*w(p) + 4*n(p)?\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by 145\nAnswer: -1\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 27895 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 98 + 181823215*l - 181823215*l + 2*l**3.\nAnswer: 2*l**3 + 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.5, -2, -1\/3, -0.2, 1\/30, 2.5, -5.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 244.8 and 25?\nAnswer: 6120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 7164 and 54526.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*s**(-1\/10))**(-7\/4)\/(s**(-4\/13)*s*s**10\/s) assuming s is positive.\nAnswer: s**(-5859\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z be (14\/21 - -2) + (-2)\/3. What is the third derivative of -89*m**2 + 39*m**4 - 144*m**4 - 3 + 173*m**z - 81*m**2 wrt m?\nAnswer: -2520*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2256 and 16356.\nAnswer: 65424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2 - 42*k + 60*k + 445*k**2 + 575*k**2 - 155*k**2 + 80*k wrt k.\nAnswer: 1730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -4 (b) -2.5 (c) -1\/9 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + 4 + (-7 + -17 + 20 - -11).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 366469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -60 - -56 - 9\/(-6)*8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (384\/(-16))\/(-12)*(-150)\/(-12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3089495*c**3 - 49974930*c?\nAnswer: 18536970*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 46877147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -99023348, -99023350, -99023352, -99023354, -99023356?\n\"Answer: -2*d - 99023346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -128417233*-0.2.\nAnswer: 25683446.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide (-1275 + -5 + 7)\/((-16)\/160)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*-2*3*((sqrt(612) - (sqrt(612)*3 + 0)**2) + (sqrt(612) + sqrt(612) + (sqrt(612) - (sqrt(612) + 1)) + -2 - sqrt(612))**2)*6.\nAnswer: 6480*sqrt(17) + 1055592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -2*a - 1 + 5*a - a - a**3. Let m = 687 - 686. Let q be n(m). Solve -2*j + j + 4 = q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = k**2 + 10*k + 11. Let l be b(-9). Factor -f**2 - l*f - f**2 + 2 + 3 + 2*f**3 - 3.\nAnswer: 2*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 minus 97083?\nAnswer: -97086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) be the first derivative of k**6\/60 - k**5\/15 - 5*k**4\/12 + 2*k**3 - 6*k**2 + 37. Let b(s) be the second derivative of j(s). Find v such that b(v) = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4327291 less than 4327275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 420 divided by -4\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 - -1 - (145 - 162)) + -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*p**5 - 3*p**3 + 3*p**3 + (p + 4*p - 4*p)*(-4*p**4 + p**4 + 4*p**4) - 4*p**5 + 3*p**5 - 2*p**5 + 12*p**5 - p**5 - 3*p**5.\nAnswer: 10*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y be 30*((-27)\/45 - 0). Is y equal to -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*q = -3*q - 27. Suppose -q*f = -6*f. Suppose -n + f*n = -2*v + 155, v - 67 = -3*n. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4554543918.\nAnswer: 2, 3, 43, 17653271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that -5*k**4 - 12505*k**3 - 407370*k**2 - 369880*k + 789760 = 0.\nAnswer: -2468, -32, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vu when two letters picked without replacement from mavyuvp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 13627766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 155*m**2. Let g(z) = 253*z. What is s(g(l))?\nAnswer: 9921395*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5 + 4. Let u = 506.2 - 506. Put u, w, 1\/2 in increasing order.\nAnswer: w, u, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 112254712?\nAnswer: 2, 263, 53353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2030 - 224 = -161*y for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -3*q - 4. List the prime factors of o(-16).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 1440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(99) + -6*sqrt(22)\/sqrt(2) - 3*(-1 + 1 + sqrt(11)))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -21.5 + -19.5. Let f = 1.3 + 30.7. Let v = f + g. Is v < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*(l*((l*((l*l*l**(2\/9)*l)\/l)\/l)\/l)\/l)\/l)\/l)\/(l*l**(-2\/13)*l)*(l*l**(-2\/3)*l)**29 assuming l is positive.\nAnswer: l**(4334\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -775956, -1551914, -2327872, -3103830?\nAnswer: -3879788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/3? (a) -4 (b) -42 (c) 5\/46 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = d + 4*i + 16, 0*i + 4*i + 16 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hho when three letters picked without replacement from {h: 4, o: 10}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v**2 - 7*v + 4. Let k be w(-6). What is the tens digit of (k\/(-1))\/(6\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(1\/3)*(t\/t**(-4\/3))\/t)**(-25)*(t**(-2\/9)\/(t*t**(-1\/10)))**(-5\/4) assuming t is positive.\nAnswer: t**(-2899\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 14 (base 8) in base 13?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 1 - 2*g**3 - 2 - 7*g**2 - 5*g**2 + 4*g**2 in the form y*g**3 + z + x*g + w*g**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = a**2 - a + 2. Let v be w(0). Let x = 28 - 27. Let y = x + v. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3078.8 + 3079. Let t be 210\/9*(-63)\/5. Let l = -5881\/20 - t. What is the second biggest value in 2, l, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.1 from -22955871.\nAnswer: -22955871.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 4205 = 5*s, -3*n - 3*s + 8337 + 4230 = 0. Does 45 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000060326 rounded to 6 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(-1)\/((v\/(v*v**(-2\/15)*v))\/v) assuming v is positive.\nAnswer: v**(13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 21871834 (base 9) to base 4\nAnswer: 220200010102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -2\/17, 6\/5, 88.4, -0.3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 10*34 - (-7 + 4 + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = u**3 - 3*u**2 + 4*u - 3. Let o be q(2). Let p be 2\/1 + -8*o. What are the prime factors of (27\/p)\/(3\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-5936)\/196)\/((-20)\/15)*63\/27.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5.815 + 0.815. What is the third smallest value in -3, 0.4, 1.8, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9*h**2 + 1 - 89*h - 2*h**2 + 91*h)*(26350 - 21*h**3 - 26350).\nAnswer: 231*h**5 - 42*h**4 - 21*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1.2 - -6.2. Let p = 683.3 - 683. Let d = 0 - 0.1. Which is the nearest to d? (a) p (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2 smaller than -17\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 218 + 1486 - 1704 - 59*m**2.\nAnswer: -59*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -2*o**2 + 10*o - 9. Suppose -t = 3, d + 6 = -4*t - 4. Let u be y(d). Solve 6*m = 7*m - u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 5*h**2 - 9. Let y(f) = f**2 - 2. Let b(q) = 4*w(q) - 18*y(q). Let c(l) = 7*l. Let k(z) = 3*z. Let v(j) = -2*c(j) + 5*k(j). What is v(b(d))?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, g: 3, e: 5, q: 2, s: 5}. What is prob of picking 1 g and 1 s?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -0.31, 1, -4.4195 in increasing order.\nAnswer: -4.4195, -0.31, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4 and 650?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from abxhxtxxbxaxxaa. What is prob of picking 2 a and 1 h?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 2311031203 (base 4) in base 5?\nAnswer: 142222433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 670, 2701, 6086, 10825, 16918, 24365?\nAnswer: 33166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5\/6 in 3\/5, 58, -5, 137, -387?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2955 - 7595. What is d rounded to the nearest one hundred?\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 81*h - 78*h = 24 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + 2\/3 - (-32)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qrqrqqqrrqrqqq. What is prob of sequence qqr?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 84306293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 224.43 rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(1\/5)*j**18)\/(j**15)**(-9\/5))**(2\/61) assuming j is positive.\nAnswer: j**(452\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -2 - 0 - ((1 - -1) + -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2997250 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 1 - 3)*(-10 - 10 + 6)*(-71*x - 116*x - 13*x).\nAnswer: -2800*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7 and 6257.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 152563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*p**2 + 13*p**4 - 3 + p**4 - 19*p**4 - 2*p - p**2 to the form y*p + q*p**3 + a + z*p**4 + w*p**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = -21634 - -21638. Solve -6 = 3*p, -9 = 3*c - b*p - 35 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2057, -1856, -1521, -1052?\nAnswer: -449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 17, b: 2}. Give prob of sequence byy.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 372 minutes before 11:05 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 5 - 2*l**2)*(0 + 2*l**3 + 0) + 3*l**5 + 2*l**5 - 4*l**5 + (-4*l - l - l)*(-3*l**4 + 4*l - 4*l).\nAnswer: 15*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -65851*m**2 + 2*m + 409951*m**2 - 2*m.\nAnswer: 344100*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 252263083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = 20 - 20.22. Let q = h + -0.28. Which is the biggest value? (a) -2\/7 (b) q (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -31\/6019 and -73\/9260.\nAnswer: 120380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 34 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 3169.546um?\nAnswer: 3169546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((0 - 10 - 33)*(-5*w + 5*w + 2*w)*(-1 + 0 + 0) + 4*w - 4*w + w)*(0 - 2 - 1)*(5 - 4 + 5) to t + y*w and give y.\nAnswer: -1566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (-10)\/4*-3*(-10)\/(-15)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -594004 (base 11) to base 2\nAnswer: -11100110000100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -209 - -136. Let i = 0.084 + -77.084. Let j = s - i. Which is the second biggest value? (a) j (b) -0.1 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -6*y + 16. Let a(x) = -7*x + 17. Let c(t) = -5*a(t) + 6*l(t). Calculate the lowest common multiple of c(5) and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 166 minutes after 9:37 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 33324596 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3953*t**2 - 13989*t**2 - 11524*t**2 - 34445*t**2.\nAnswer: -56005*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) be the first derivative of -n**2\/2 - 18*n + 19. Let j be y(-21). Differentiate 25 + 27*f**j + f**3 - 17 - 19 with respect to f.\nAnswer: 84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 71378207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide 795792 by -397896.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z\/z**3)\/(z**(-6)\/z*z)*(z**(1\/3)*z)**(24\/5))\/(z*z**1*z**7*(z*(z**(2\/5)\/z)\/z)**40) assuming z is positive.\nAnswer: z**(127\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-156)\/(-520) + ((-114)\/20)\/(-1). Solve w = -134*k + 136*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) be the first derivative of 2*q**3\/3 - 3*q**2\/2 + q - 5. Let i(h) = 78*h**3 + 5*h**2 - 4*h + 1. Let d be i(1). Suppose -100 + d = -10*p. What is k(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10000011001101010 - 1101001101000?\nAnswer: 1110110000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 t, 1 c, and 1 a when four letters picked without replacement from {a: 2, t: 4, c: 6}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 810407, 810520, 810817, 811388, 812323, 813712?\nAnswer: 815645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.688 - 0.258. Let g = n + -0.43. What is the nearest to g in 2\/11, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.01 times 0.2054327\nAnswer: -0.002054327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -l**3 + 7*l**2 - 6*l + 5. Let q be t(5). Let z(h) be the first derivative of -h**4\/4 - h**3\/3 + 4*h - 2. Let a be z(0). Solve -m = a*m - q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 1714 = -5*u, -45*u + 49*u + 2288 = -4*o. Is o != -573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -36 - -39. Suppose 4*k = -5*y + q*y + 404, 2*y + 3*k - 403 = 0. Calculate the highest common factor of y and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 168461 to the power of 1\/2, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (s**2 - s**2 - 4*s**4)*(0 + 2 + 1 + (2 - 6 + 1)*(-2 + 8 + 1) + 3 - 3 + 6) as m*s + z*s**3 + w*s**4 + n + u*s**2 and give w.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -505260*z**2 + 555302*z wrt z?\nAnswer: -1010520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.3774 + 0.5774. What is the nearest to 2 in r, -0.5, 20?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -9*n**4 - 7*n**2 + 5. Let a(q) = -4*q**4 - 4*q**2 + 3. Let c(z) = 5*a(z) - 3*i(z). Find the third derivative of c(h) wrt h.\nAnswer: 168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 3 + (sqrt(416) + (-4*sqrt(416) - sqrt(416)))\/sqrt(8) + 5.\nAnswer: -8*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 4*i - 5*i = -71, 2*z - 46 = -4*i. What is the greatest common factor of 272 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 467 minutes after 11:30 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (0 - (13 - 5)) + (-2 - -35)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = p**3 + 9*p**2 + 4*p + 5. Let d(q) = -7*q**3 + 1. Let k be d(1). Is g(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 3, w: 12}. What is prob of picking 1 y and 1 w?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 2768 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -1382757 * -0.258.\nAnswer: 356751.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d be -3 + 33\/6 - 2\/(-4). What is the third derivative of -2*v**2 + 75*v**2 + 17*v**3 - 216*v**d - 124*v**3 + v**3 wrt v?\nAnswer: -1932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -25253 divided by -2\nAnswer: 25253\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-6)\/8*332\/581. Which is greater: 135 or m?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.6047629 from 48505400.\nAnswer: 48505400.6047629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -l**3 + 47*l**2 - 446*l + 139. Let j be a(34). Let o = -1 - 1. Let i = o + 7. Solve -4 = -d - 0*f - j*f, 0 = i*d + 5*f + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 9) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = -7*c + 32140. Suppose 5*h - c = -5*p, 4*h - 5*p - 612 = 5780. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -337628 (base 10) to base 3\nAnswer: -122011010202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -291 - 320 - 3869*k + 611 to b + p*k and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 122 (base 13) in base 8?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0 + -0.1. Let y(a) = 3*a**2 - a + 1. Let f(d) = d**3 + 3*d**2 + 3*d + 3. Let b be f(-2). Let o be y(b). What is the closest to t in o, -1\/5, 2\/9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 68 a factor of 30803932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 6\/((8 + 4578\/(-572))*-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**(-30)\/(m*m\/(m**(-30)\/m)*m) assuming m is positive.\nAnswer: m**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*x = -4*x - 3*x - 7*j - 32, 0 = -4*j - 16 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c = 523 + 732. Suppose 0 = -6*q + c + 97. What are the prime factors of q?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -2*m - 6. Let z be v(-3). Suppose -2*a + 143 = -0*a - 3*l, 5*a - l - 390 = z. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 82835.61 millennia in centuries?\nAnswer: 828356.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.016 - -0.184. What is the nearest to -2\/5 in q, -2\/9, 0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -3 (b) 44 (c) 646 (d) 0.4 (e) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 + 95 = -u. What is the remainder when 24 is divided by (-3)\/9*(-3 + u\/3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -75807 - -133035. Suppose -k = -9*h - 3579. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -1042, -1046, -1050, -1054, -1058?\n\"Answer: -4*o - 1038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = d**2 + 6*d + 13. Let z = -89 - -80. Let x be n(z). Let p = x - 4. What is the least common multiple of p and 6?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 824 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = 12 - 9. Factor -2*a**4 - 2*a**4 + 4*a**n + 162*a**2 - 154*a**2.\nAnswer: -4*a**2*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -3933, -11, -116, 3.\nAnswer: -3933, -116, -11, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 2\/(-8)*-1 + (-4988)\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.2968 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 9) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -814*t - 801*t - 816*t - 815*t + 3245*t - 3360 + 3360.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -y + v - 2 = 0, 95*y = 97*y + v - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/(-3)*(-51)\/272*12. Which is the nearest to -2? (a) -2\/9 (b) -4\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 15733281?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*f = -3*f - 42. Let h = 10 - f. Let n(g) = g**3 + 5*g**2 + 4*g + 3. Let s be n(h). Solve -4*o + 7*p - 3*p = 0, s*p = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nn when two letters picked without replacement from {c: 7, o: 1, n: 8, a: 4}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 49.9411ml to litres.\nAnswer: 0.0499411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -506 - -504. Sort k, -2\/13, 1.6 in increasing order.\nAnswer: k, -2\/13, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 36475 to the power of 1\/2, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23*w - w**3 + 13*w - 12586 - 12609 + 25195.\nAnswer: -w**3 + 36*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v and 1 o when three letters picked without replacement from {v: 2, o: 1, m: 1, u: 1, y: 1, s: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 38301816.\nAnswer: 2, 3, 7, 17, 13411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = z**3 - 10*z**2 + z - 5. Let p be j(10). Suppose 0 = p*l + 2 - 22. Factor -2\/7*c**l + 2\/7*c**2 + 0 + 0*c**3 + 0*c.\nAnswer: -2*c**2*(c - 1)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1001325 and 2325?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -468768, -468730, -468696, -468666, -468640, -468618?\nAnswer: -468600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:07 AM and 3:41 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -512, -1022, -1532, -2042, -2552, -3062?\nAnswer: -3572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -g**2 + 2*g**3 + 5*g + 798299*g**4 - 22*g + 5 + 0 - 798301*g**4 in the form m*g**3 + b + d*g**2 + h*g**4 + p*g and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 366 minutes after 1:24 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n - 7*n = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -202 and 859?\nAnswer: -173518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) 0 (c) -2\/5 (d) -3.49202\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z + 7 - 2 = 0. Suppose 2*g + 0*g = 0. Suppose 2 + 8 = 2*k. Sort k, z, g.\nAnswer: g, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1064 and 411767468.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 71788500 and 3691980.\nAnswer: 646096500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(99)*-1)\/(sqrt(81)*1 - sqrt(9)))**2*-6 - (-5*6*sqrt(44)\/((sqrt(4) + sqrt(12)\/sqrt(3))*1))**2.\nAnswer: -2541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand -d**4 + 2*d**2 - 2*d**2 + (-4*d**3 + 6*d**3 - d**3)*(4*d + 2*d - 4*d) + d**2 + 2*d**4 - d**2 - d**4 - d**4 + d**4.\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 120 and 300.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.5 and -1582898.7.\nAnswer: -791449.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3416125498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 15\/4 (b) -33 (c) 1\/9 (d) 0.4 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 779.284 - 781. Let r = f + 0.006. Let z = r + -0.59. What is z rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1\/(-3) + (-16)\/(-3). Let s = -31 - -29. Sort g, s, -1 in increasing order.\nAnswer: s, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -5 - 1b2a58?\nAnswer: -1b2a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8640\/29 + -298. Suppose 0 = -4*l - 0*l - 8, 0 = -2*t - 2*l - 6. Is t at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -76328.057 + 76374. Let i = 51 + -97. Let g = d + i. Round g to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2711 + -3836. Let j = p - -10031\/9. Let y = j + 1073\/126. What is the common denominator of 85\/8 and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v\/(v**14*v))\/v)\/(v**(-3\/7)\/v)*v**(-36)\/v**21)**47 assuming v is positive.\nAnswer: v**(-23218\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 4, y: 4, o: 5, d: 6, g: 1}. Give prob of sequence ydge.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1036300?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-4)\/18 + (-7)\/(63\/(-4502)). Let w be -3*b*((-2473600)\/12)\/4. What is w rounded to the nearest one million?\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 6 and 71262.\nAnswer: 71262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 7 - 4 = 0. Let u(c) = 4*c + 18*c - w + c - 1. Let o(x) = -988*x + 171. Let l(p) = 4*o(p) + 171*u(p). Determine l(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -99 <= -1090\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = 738.9 + -739. Let f = -0.5 - -0.5. Which is the closest to f? (a) i (b) 0.4 (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 487*z**3 - 16*z**2 + 80*z - 16. Is m(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -30376.933+36\nAnswer: -30340.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8 - (11 - 6)) + (-6 - (8 + -3)) - -50?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f = -5*g + 439, f + 458 - 16 = 5*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8 = 7*i + 2*h + 4, -4*i + 3*h - 41 = -30 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = i**2 - 3*i. Let j be a(4). Sort j, -3, 3 in ascending order.\nAnswer: -3, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.04, -0.3, 3, 4.17?\nAnswer: 4.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = d**2 + 20*d + 41. Let f be u(-18). What is the derivative of -9*m**2 + 3*m - 2*m + 0*m**2 - 54 + f wrt m?\nAnswer: -18*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/6*(16\/4)\/(-4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the first derivative of -4*n**6\/3 - 31*n**2\/2 - 2. What is the second derivative of d(q) wrt q?\nAnswer: -160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 3890*-10*(10 - (-18)\/(-2)). Round k to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (24 - 13) + -23 - 2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -705705, -705697, -705683, -705663, -705637, -705605, -705567?\n\"Answer: 3*o**2 - o - 705707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be 4\/(2 + 9\/(-6)). Let w be ((-10)\/3)\/(n\/(-12)). Suppose -2*p = 5*y - w, -2*p + 5*p + 5 = 5*y. Sort -1, y, 4.\nAnswer: -1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -879 - -892. Suppose -219 - w = -8*t. List the prime factors of t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1 (b) -7 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 642*g - 385*g = 1107 + 3519 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor n**2 + 4376899*n + 4376898.\nAnswer: (n + 1)*(n + 4376898)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -7*v - 12. Let x be i(-8). Suppose 4*c - x = 3*c. Suppose -4*u - c = -108. Calculate the remainder when 47 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/15*(-1650)\/220*(-14)\/(-5).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(33)\/(sqrt(12)\/sqrt(4)) + -4 + sqrt(22)\/sqrt(2).\nAnswer: -4 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -132380*l - 13370368. What is d(-101)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -11, 0, -881, -1, -3 in descending order.\nAnswer: 1, 0, -1, -3, -11, -881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 28234599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 12218495 and 379440?\nAnswer: 2635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s*s**(1\/13))\/s**2)\/(s**(-1\/5)\/(s*s\/(((s\/s**(-2\/3))\/s)\/s*s))))\/((s**0)**28)**(-1\/20) assuming s is positive.\nAnswer: s**(119\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 78166 and 26739878?\nAnswer: 294138658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 89\/243054 and 127\/1260280.\nAnswer: 34027560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2, -0.4, -2\/43, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -16, -27, -54, -103, -180, -291, -442, -639?\nAnswer: -888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.001187 to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 10*s**3 + 76*s**2 - 7*s - 3. Let z(p) = p**3 - 2*p**2 + 2*p + 1. Give -q(u) - 3*z(u).\nAnswer: -13*u**3 - 70*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.024 + -0.806. Let o = -0.13 - y. Round o to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1210*p**6 + 2*p**5 - 2*p**3 + 4236*p**2 wrt p.\nAnswer: 145200*p**3 + 120*p**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m**35)\/m**(1\/6))\/(m\/m**(-44))**(10\/13) assuming m is positive.\nAnswer: m**(95\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = i**2 + 1. Let t(q) = -6*q**2 - q - 3. Let x(y) = 5*s(y) + t(y). Let f(m) = 5*m**3 + 80*m**2 - 18*m - 291. Let u be f(-16). Give x(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (sqrt(3) - sqrt(3)*2) - sqrt(1764)\/sqrt(12).\nAnswer: -8*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 551 and 133?\nAnswer: 3857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -22763, -46659, -70557, -94457, -118359, -142263?\n\"Answer: -w**2 - 23893*w + 1131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -32 - 59 - 117 - 14 + 3*h - 309.\nAnswer: 3*h - 531","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1140380 is divided by 71273.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:36 AM and 5:14 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Determine b so that 38 + 22 + 925*b**3 + 32*b + 3*b**4 - 476*b**3 - 479*b**3 + 99*b**2 - 164*b = 0.\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3015*w + 2594*w - 325322 for w.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.2 (b) 2\/5 (c) 1251 (d) -4\/5 (e) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by 231?\nAnswer: 2\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = 19 + -24. Let k = -423 - -427. Which is the second smallest value? (a) k (b) r (c) 2.9 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1*((5 - 0) + -7 - -3). Let t be y - 11\/((-33)\/48). What is the highest common factor of t and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 2*a**3 - 8*a**2 - a. Let n be (14\/4)\/7*8. Let l be g(n). Let c be l\/18 - (-94)\/18. Solve 4*w = c*w - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 3619920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(76) + sqrt(76) + sqrt(76) + -3*(sqrt(76) + 3*sqrt(76)) + sqrt(76))\/(sqrt(36)*-2))**2.\nAnswer: 304\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 537548621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*b - 19 = 9 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.53 * -3.33.\nAnswer: 5.0949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, f: 4, o: 1, v: 6, j: 6}. Give prob of picking 1 f and 1 v.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = -54 - -53.93. Which is bigger: 3 or y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 94207, 188411, 282617, 376825, 471035, 565247?\nAnswer: 659461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5692 * -5.84.\nAnswer: -3.324128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 6 = -6*p. Let y = 6 - p. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000000188788442 to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 15720 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -1 and -583.674.\nAnswer: 583.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 2*t**2 + 5*t - 3. Determine x(7).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1 - 1)*7710\/(-60). Let m = 269 - j. Solve 2*k - 3*y + 20 = 0, -m = k - 4*y + 2*y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -8945 - -8946. Let c = -0.7 - -1. Let u = -0.1 + c. What is the nearest to s in u, -1\/2, -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 3*x - 4. Give l(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -4957102, -4957110, -4957120, -4957132?\n\"Answer: -y**2 - 5*y - 4957096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -1729.9762 to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -d**2 - 8*d + 11. Suppose a + 1 = -a - 3*s, -3*s + 15 = 0. Let q be z(a). Solve -u = -1, -4*u + 3*u + q = -5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + 0 + (0 - -20) + 12 + -26?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) -11 (b) -6.1 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 116*g = 90*g + 156. Let h(c) = c**2 + c - 1. Let s(k) = 2*k**3 - 6*k**2 - 6*k + 6. Calculate g*h(b) + s(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(-1\/5))**39)**(-4\/21)*(w**(1\/3))**4*((((w**(-1)*w*w)\/w)\/w)\/w)**21 assuming w is positive.\nAnswer: w**(-4114\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 21017 = -235*v + 239*v, t = 4*v - 21011. What are the prime factors of v?\nAnswer: 3, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 23*w - 7. Let n(i) = 12*i - 4. Determine 5*n(y) - 3*u(y).\nAnswer: -9*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (101 - 173 - 188 + 2*r + (-4 + 7 - 4)*(-3*r + 2*r + 0*r))*(1 - 1 + r) as m + s*r + h*r**2 and give s.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3 + 45*h + 31 - 28 to the form k*h + v and give k.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) be the first derivative of 5*w**9\/3024 - w**6\/72 + 2*w**3\/3 + 5. Let m(f) be the third derivative of n(f). Find the third derivative of m(l) wrt l.\nAnswer: 300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 10\/(-6) - (-2)\/3. Let t(r) be the third derivative of -13*r**6\/12 - r**4\/24 - r**3\/6 + r**2 - 202. What is the hundreds digit of t(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 583294?\nAnswer: 2, 291647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1199 + -1042. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v**8*v)\/v**7)\/(v*v**(-8)*v**(-17)*v) assuming v is positive.\nAnswer: v**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1)\/(-3) - (-11)\/3. Let w be 5 - c\/16*0. Suppose 0*j + w*a = -2*j + 5940, 5*j + a = 14804. What is j rounded to the nearest 100?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 558 minutes before 4:17 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -10*l + 92. Let y be t(8). Let k be (3\/15)\/(y\/(-45)). What is the nearest to -0.1 in 4, 4\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 0 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3*(-4)\/(-6) - 8. Let q be (-6)\/2 + (w - -9). Let k(m) = -3*m**2 - m**2 - m**3 + q*m**3 - m. Calculate k(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:48 AM and 3:57 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 456503377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Let c = 5152 + -5143. Solve 5*z + c = -4*t + 4*z, -4*z = 3*t + 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 227*s - 227*s + 23*s**2 + s**2 + 2 - 2 - 4 + 4 + 2*s**2 + (-3 + 1 + 0)*(-s**2 - 3*s**2 + 2*s**2) + (0*s + 2*s + 0*s)*(-2 + 2 - s).\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, -0.4, 38, 2\/11 in increasing order.\nAnswer: -0.5, -0.4, 2\/11, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 84 and 7252?\nAnswer: 21756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 16771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**0\/k)**(-41\/5)*k**(-2\/5)*k*k*k**(-7\/3)*k*k assuming k is positive.\nAnswer: k**(142\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/9 in 0.182, 5, -5, 2?\nAnswer: 0.182","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*t + 2280 - 341. List the prime factors of t.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find b such that 2*b**2\/5 - 243196*b\/5 + 18425136 = 0.\nAnswer: 380, 121218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3485025?\nAnswer: 3, 5, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(4320) - -2*sqrt(4320)))\/((sqrt(294) + (sqrt(294) - (sqrt(294) - (sqrt(294) - (sqrt(294) - sqrt(294)*3)))) + sqrt(294))*-3 + sqrt(294)).\nAnswer: -36*sqrt(5)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -10 + 7 + 16 + -1 + 1\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -8709678 divided by -3\nAnswer: 2903226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/9*(1757\/1004)\/(245\/(-80))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1637545 or 17?\nAnswer: -1637545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-56)\/49*-2)\/(78\/14 + -3)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) be the first derivative of -f**4\/4 + 8*f**3\/3 + 3*f**2\/2 + 10*f + 3. Let j be o(8). Let t = -23 + j. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 447*r - 561*r**2 + 283*r**2 + 282*r**2 - 447*r. Let g(b) = -10*b**2 - 6*b**2 + b**2. Give t(g(y)).\nAnswer: 900*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -74*i. Let d be t(-2). Let c be (-20)\/(-208) - 1\/4 - (-10152)\/78. Find the first derivative of 20 - c*a**2 + 14 + d*a**2 wrt a.\nAnswer: 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -95776, -191604, -287434, -383266, -479100, -574936?\nAnswer: -670774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 9, t: 11}. Give prob of sequence tttt.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1013303 - -22001?\nAnswer: 1101310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify k\/(k\/(k\/(k\/(((k*k\/(k\/k**(-4\/3)))\/k)\/k))))*k*k\/k**12 assuming k is positive.\nAnswer: k**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 966577859?\nAnswer: 13, 29, 2563867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = 50\/13 - 328\/65. Which is smaller: t or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.06 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2224 and 38704?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = b**3 + 9*b**2 - b + 14. Let o = -34 - -27. Let m = o - 2. List the prime factors of u(m).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 1, -0.5, -65\/6, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Multiply 34.759 and -2233.\nAnswer: -77616.847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 16*i - 6 = 19*i, -2*c + 2 = -i. Solve -x - 4 + 0 = c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 445399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*m - 3*m - 3*l - 16 = 0, 0 = 2*m - 8*l - 20 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((5*sqrt(285)*4 - sqrt(285)) + sqrt(285))\/sqrt(5))\/(sqrt(21)\/(4*sqrt(567) + sqrt(7))) + 3)*-5)**2.\nAnswer: 111000*sqrt(19) + 260110225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 181868792 a multiple of 2993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t be -767 + 756 - (-12 + -1). Let z(w) be the first derivative of -50*w - 44\/3*w**3 - 38 + 0*w**t. What is the derivative of z(b) wrt b?\nAnswer: -88*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:15 AM and 5:21 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by 65?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = -8\/13 - 101\/26. Suppose 0 = g - 4*g + 3. Let j = g - 5. Which is smaller: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2713981?\nAnswer: 2713981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*1*sqrt(528) + sqrt(528))\/(sqrt(11) - (sqrt(77) + sqrt(77)*5 + sqrt(77) - sqrt(77))\/sqrt(7)).\nAnswer: -8*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13112*b**2 + 12646*b**2 - 25764*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -1005, -2012, -3019, -4026, -5033?\n\"Answer: -1007*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 26969 = 26969?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand 12*d**2 + 0 + 0 + (0 - d + 0)*((2 + 2 - 2)*(0*d - 2*d - d) + (-5*d + d + 3*d)*(0 + 2 + 0)).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 79, 0.061, -0.01, -3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3\/(-9)*1*-3. Is z greater than or equal to 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 24 = -21. Calculate the smallest common multiple of (27 - 2)*2\/5 and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 8*f + 2*t = 42, t + 42 = 5*f. Let l = 21 + f. Let o = l - 16. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3201 (base 4) in base 16?\nAnswer: -e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 6*v + 16. Let q(m) = 13*m + 31. What is 9*h(d) - 4*q(d)?\nAnswer: 2*d + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 657 minutes before 7:43 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -38 in -1\/2, -5, -0.299, -3\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4\/11 (b) 0.1 (c) 36\/41 (d) -2 (e) 0 (f) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-5)\/((-175)\/(-60)))\/(21\/147)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 + 0 + (20 - 21 - -4) - 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000057043 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4212 - 10*t**3 + 4*t**3 - 4212.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 59 a factor of 12227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (15*i - 15*i - 8*i**3)*(i + i + 1 + 0)*(28 + 56*i - 28).\nAnswer: -896*i**5 - 448*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o = -146 + 162 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 698ab1 (base 15) to base 9\nAnswer: 10433314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -66 + 325702*s**2 + 34 + 32.\nAnswer: 325702*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 i when two letters picked without replacement from {c: 5, i: 4, p: 10}?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t + 22 = -4*x, 3*t - 9 + 19 = -4*x. Let w(d) = d + 8. What is w(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 150144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2342 or -147502\/63?\nAnswer: -147502\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -827*a + 29182*a**2 - 29188*a**2 + 827*a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i = 7*i - 20. Let q(c) be the first derivative of c**3 + 2 - 5\/2*c**i + 0*c. What is the second derivative of q(v) wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 378 = -4*t. Suppose 3*p - t = 2*p. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -115139259 + -0.3541.\nAnswer: -115139259.3541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 + -9 + 4 - 5) + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -60280200 rounded to the nearest 100000?\nAnswer: -60300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(5\/3)\/l*l*l\/(l*(l\/(l\/(l*l**(-2\/9)*l)))\/l))**(-20)*(l**(-1))**(-17\/4)\/(l*l**(-1\/2)*l**(2\/17)) assuming l is positive.\nAnswer: l**(-8657\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 3012 times 4.127?\nAnswer: 12430.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 14579611723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -180 divided by 2\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -f**3 - 2*f**2 + f - 3. Let w be (-2 + 10\/6)*9. Does 3 divide b(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence srh when three letters picked without replacement from {r: 6, h: 4, s: 3}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*u - 15*u + 4*u + 6*u - 125*u**2.\nAnswer: -125*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -25*j**5 - 52*j**3 - 2762*j**2?\nAnswer: -1500*j**2 - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n + 2*n = 89*a - 6663, -1250*n - 369 = -1248*n - 5*a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 46.424986 times -0.1\nAnswer: -4.6424986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c**(4\/9)\/c)\/((c\/c**(-2\/15))\/c)*c**(-3\/4)\/c**(2\/19)*(c**(1\/4))**(-3\/2)*(c**(-1))**(-19\/2) assuming c is positive.\nAnswer: c**(58693\/6840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 0.10819 to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.06 - 7.06. Let b = -3474\/7 + 496. What is the closest to 0 in -2\/15, t, b?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -37985*s + 38000*s = -60 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = 2 - 12. Suppose 3*x + 12 = 0, w + 8*x = 12*x + 42. What is the highest common divisor of w and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 76310.\nAnswer: 2, 5, 13, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/6 of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.38 - 0.08. Put 0.2, y, -9\/8, 0.1 in decreasing order.\nAnswer: y, 0.2, 0.1, -9\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5647883\/12 + -469143. Let r = 1518 - t. Calculate the common denominator of 61\/12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 352 and 530552.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) be the second derivative of 3*q + 0*q**2 - 1\/120*q**5 + 1\/72*q**4 + 0 + 0*q**3. Solve s(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-2)\/86)\/((-14)\/(-28)). Let u = -1 - 0. Is u at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2\/177 - -191\/1239. Let t(q) be the second derivative of 0 + 1\/7*q**2 + k*q**3 + 1\/14*q**4 - 2*q + 1\/70*q**5. Suppose t(s) = 0. Calculate s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1202042 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -2781, -11124, -25029, -44496?\n\"Answer: -2781*v**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -47.025 + 0.025. Let b = k - -89. Let r = -42.2 + b. Which is greater: 0.14 or r?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-28)\/147)\/(6\/9).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26*n - 13*n - 21*n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from {a: 1, k: 3, b: 1, e: 5}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 2b (base 12) in base 11?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 131924 * 308\nAnswer: 40632592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 147 divide 72467746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = 40.95 + -41. Let d = 0.35 - 0.3. Let g = x - d. Which is the nearest to -1? (a) -1\/3 (b) g (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-2\/15)\/(y**2*y))**(-4\/7)\/((y**(-2\/13)*(y*(y\/y**(-1\/2)*y)\/y)\/y)\/((y\/y**(-1))\/((y*y\/(y*y**2)*y)\/y))) assuming y is positive.\nAnswer: y**(9403\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -o**3 - 12*o**2 + 240*o + 1361. Calculate j(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is (-7)\/(-14) + (-11187)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 4*-1171047\nAnswer: -4684188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 4*h - 11 = 0, 2*h = -0*n + 2*n - 10. Suppose 36*z - 33*z - n = 0. What is the remainder when 27 is divided by (-5 + z)\/((-1)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 4*x = 2, 5*x - 44 = -6*f + 2*f. Solve -q = 2*q - f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 17? (a) -2\/5 (b) -3\/103 (c) -2\/3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -12*i**4 + 4*i + 26345 + 10*i**2 - i**3 - 26355 + 11*i**4 in the form r*i**3 + h + g*i**2 + m*i + l*i**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u - 3. Let g be r(-3). Let b = -46.2 - -46.6. What is the closest to -0.2 in g, -5, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-13)\/(117\/(-108)))\/((-38)\/(-19)*21\/(-6)).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 442, 491, 522, 529, 506?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 112691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -171, -694, -1573, -2814, -4423, -6406, -8769, -11518?\nAnswer: -14659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 18, -3\/4, 12?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = h - 24 + 2*h - 2*h + 3*h. What are the prime factors of y(17)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -15*a**2 + 1003*a + 151. What is l(71)?\nAnswer: -4251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = k - 7. Let w be o(7). Suppose 2*r = -w*r + 8. Suppose -5*b + r*i + 67 = 0, b = 2*b + 2*i - 5. Solve b + 1 = -3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = u**2 - u. Let w(n) = -10*n**3 + 16*n**2 + 5*n. Let t(l) = -4*w(l) - 12*x(l). Suppose t(h) = 0. What is h?\nAnswer: -1\/10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2\/7, -0.5, -0.05, 2\/13, 3\/8, 71?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1342 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 14247 - 14247. Let f(t) be the second derivative of -t + 0 - 1\/42*t**4 - 4\/21*t**3 + a*t**2. Factor f(d).\nAnswer: -2*d*(d + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 69*c - 74*c = 20. Let n be (-3)\/(-1)*1 + 0. Which is greater: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 173 divided by -27\nAnswer: -173\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -746*f**2 + 22373*f + 13. Calculate i(30).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 130 - 130 - 4*u as w*u + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dqd when three letters picked without replacement from dqqqddqdqq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = n**3 + 3*n**2. Let q be m(-2). Let p = q - 1. Let o(w) = -2*w**2 - p + 3 + 5*w**2. Let c(r) = -2*r**2. Determine o(c(z)).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = -3*k + 20. Suppose -5*y + 2*t = -34, 3*t = -k*y - 0*t + 24. Suppose 0 = -5*d + 2*d + 6. What is the least common multiple of d and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2359 is divided by 34.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8233\/4*f**2 + 27556 + 87\/2*f**3 + 14442*f + 1\/4*f**4 = 0. Calculate f.\nAnswer: -83, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*(-6)\/(-9)*(-3)\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -540 divided by -6\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 168 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide 1046 by -4.\nAnswer: -523\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**9)**(11\/3)*(s**(-8)\/s)\/s**7 assuming s is positive.\nAnswer: s**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the third derivative of i**5\/20 + 6*i**2. Let s(v) = -2*v. What is a(s(r))?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 510 and 306?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -18564*d**3 + 62 + 964*d - 60 + 18394*d**3 wrt d?\nAnswer: -1020*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*k**4\/13 + 704*k**3\/13 - 1090224*k**2\/13 + 292563328*k\/13 - 23778942560\/13.\nAnswer: 2*(k - 226)**3*(k + 1030)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.62 - 0.32. Let o = -21 + -42. Let l = -65 - o. What is the nearest to -0.1 in q, l, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 12*b + 238*b + 7250 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand -h**5 - h**5 + h**5 + (7 - 5 - 12)*(5*h**5 - 3*h**5 - 4*h**5).\nAnswer: 19*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = -31 - -21. Let c = -8.2 + 8. Let s = -0.2 - c. Which is smaller: l or s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:39 PM and 3:35 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 12160 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*w + 13 - 7 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1800) - 2*sqrt(1800)*-2 - (-2*sqrt(1800) - sqrt(1800))*3)\/(sqrt(10) - (sqrt(120)*-1)\/sqrt(12) - (2*sqrt(90) + sqrt(90))).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -25*z + 377. Suppose 0 = x + 2, -4*k + 4*x = -5 - 63. Let o be i(k). Factor 2 + 7\/3*f - f**o.\nAnswer: -(f - 3)*(3*f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 a when two letters picked without replacement from javfu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x and 1 f when three letters picked without replacement from {f: 2, x: 9}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1879 is divided by 189.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.128431 rounded to 3 dps?\nAnswer: 0.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:07 AM and 1:06 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p = 46.611 - -0.389. Let r = 28029080 - 28029126.999988. Let q = p + r. Round q to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.136 * 53.3415.\nAnswer: -7.254444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + (-1 - (-4 - 4) - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -14\/3 and (-5)\/45*4\/((-16)\/(-213)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -4*g + 1. Suppose -5*w - p + 0*p = -72, g*w + 3*p - 34 = 0. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 313603942.\nAnswer: 2, 23, 6817477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + 1 + 0 + 7 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 2052 divided by -3\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve k + 40*x = 36*x, -3*x = -3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 26*k - 4*k + 65*k + 72*k + 51*k + 569 wrt k?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence scc when three letters picked without replacement from {c: 4, x: 2, s: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/(-4)*-3*4\/(-90)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 23780*a - 2 - 12028*a - 12037*a + 2. Let f(o) = -o. Calculate k(f(t)).\nAnswer: 285*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -54398, -54167, -53936, -53705, -53474, -53243?\nAnswer: -53012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 472964*b = 472962*b + 2*h - 2, 4*h - 4 = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1652381?\nAnswer: 53, 31177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b be 7\/1 + (-1 - -1). Let x(k) = -3 - b - 25*k + 236*k. Is x(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**2 - 17*o + 21. Let b(k) = -3*k - 6. Let f be b(4). Let q be p(f). Find the common denominator of -133\/6 and (-339)\/36 + q\/(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -f + 28 = 3*k - 2, -3*k + 42 = 5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -140615 or 16\/27?\nAnswer: -140615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -355743 (base 13) to base 6.\nAnswer: -43110323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1 + 112330001?\nAnswer: 112330002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 5306 (base 11) to base 13\nAnswer: 3274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 64 = -2*q + 4*q, -4*q - 3*z + 132 = 0. Let t be q\/21 - 2\/(-7). Let x = t - -11. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -313 + 3437 + 20563*n - 18819*n wrt n?\nAnswer: 1744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = s**3 - 13*s**2 + 23*s + 2. Let c be d(11). Let v = -9 + c. Let t = -2 + 2. Solve t = -4*x - 2*n - 6, v*x - 3*n + 17 = 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 6*s**2 + 2*s + 1. Let u be o(-1). Suppose -u*a + 7 = -r - 1, -5*r = -5*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 1 - 32?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = -115 + 247. Suppose 0 = -2*w - 2*w + y. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8 times 0.0071?\nAnswer: -0.0568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = i. Suppose y = -2*f - 1, -4*y + 4*f - 4 = -f. Let q(o) = -5*o**2 - 2*o. Let n(g) = g**2 + g. Let p(j) = y*q(j) - 2*n(j). Determine p(z(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from lvluiuivv?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 65 divide 2822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -6 - ((20\/25)\/(-2) + -5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 340499, 2723931, 9193237, 21791357, 42561231, 73545799, 116788001?\nAnswer: 174330777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-33)\/(-1 + 3 - 3). Let r be (-1 - 1)\/((-22)\/m). Let q = -8 + 17. Calculate the greatest common factor of q and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 2281444698 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*k**5\/9 - 1009316*k**4\/9 - 127339848482*k**3\/9.\nAnswer: -2*k**3*(k + 252329)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 351742?\nAnswer: 2, 397, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 170 minutes after 9:40 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.3 * -23.101.\nAnswer: -6.9303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/2)\/((-27721)\/1459)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*g - 126*g - 1666 = 0 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -5462, -5457, -5442, -5411, -5358, -5277, -5162, -5007?\n\"Answer: p**3 - p**2 + p - 5463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 79*k - 233*k + 8 + 78*k + 70*k.\nAnswer: -6*k + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3*-1 + (1071 - ((-32)\/(-2) + -8)). What is the greatest common factor of 32 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) be the third derivative of -23*d**6\/120 + 5*d**4\/24 - 5*d**3\/6 - 132*d**2 + 3*d. Let l(s) = 162*s**3 - 36*s + 36. What is 5*l(q) + 36*v(q)?\nAnswer: -18*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 141403555 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m - 450 = -15*m. Let z be m\/(888\/294 + -3). What is z rounded to the nearest one hundred?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -81 = -21*i + 24. Solve 4*r = 3*h - 6*h - 17, i*h - 15 = 2*r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 1036 - 36479?\nAnswer: -35443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p**2 - 5*p - 1. Suppose -2*s + 7*s - 478 = 3*l, -4*s + 381 = -l. Suppose -26*x = -7*x - s. What is u(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-6)\/(-9)*(-2)\/4. Suppose -73*z = 36*z. Let u = -0.3 - -3.3. What is the nearest to u in z, d, -1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q, 1 m, and 2 z when four letters picked without replacement from {q: 1, m: 1, y: 3, e: 3, o: 3, z: 8}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + -3*(sqrt(3) + (sqrt(3) - (2*sqrt(12) - sqrt(12))))**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 13 = -2*r + 5*h, 5*r + 5*h + 61 = 81 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 139742 is divided by 162.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -2249*p**2 + 3*p - 4. Suppose 0 = -4*b - 0*w + w + 19, 4*b - 15 = 5*w. Let m = b + -9. Let j be s(m). What is j rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:35 AM and 12:34 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 239442173 to the power of 1\/2, to the nearest integer?\nAnswer: 15474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 30529861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1230 + 1317 - (3 + 13)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1195695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.718827 litres?\nAnswer: 718.827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 1, z: 3, s: 3}. Give prob of sequence sszz.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-1*(-3*(sqrt(567) - sqrt(567)*-2) + (1 + sqrt(567))*-3 - -3*(-2*sqrt(567) + -2))*-2)**2.\nAnswer: 23328*sqrt(7) + 1470312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 803 + 408 = 3*q - 5*w, 2*q - w - 826 = 0. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-624)\/(-168) - (-8)\/28) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 67395?\nAnswer: 3, 5, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -1071, -1066, -1049, -1014, -955, -866, -741?\n\"Answer: p**3 - 2*p - 1070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = m - 43, m + 2*o = -3*o + 37. Let h be m\/16 - 2\/8. Let u = 0.009 - 0.409. Which is the second biggest value? (a) u (b) 1\/8 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1 + -121002?\nAnswer: -121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qqbb when four letters picked without replacement from qqbqbqbqbbqqqqqq?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -204 - 231?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 631, 1315, 2049, 2833, 3667, 4551, 5485?\n\"Answer: 25*h**2 + 609*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*t - 2*t - 39 + 18 + 24*t**4 wrt t.\nAnswer: 288*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t**(1\/2))\/(t\/(t*(t\/(t\/(t\/(t\/(t*t\/t**(-3\/14)*t)))))\/t)))**(7\/9) assuming t is positive.\nAnswer: t**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7510176 = 9*z - 3*z. Let y be z\/(-72) - (-1)\/3. Suppose -2*a = -3*t - 7*a + y, -2*t = 3*a - 11591. Round t to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - 2*t = 16 - 86, -4*t = 3*p - 28. Suppose p - 3 = -m + 3*x, -5*m + 2*x = 78. Let l = m - -39. Solve 2*g = -3*b + l, 3*b + g = -2*g + 27 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 627410640?\nAnswer: 2, 3, 5, 2614211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3938962 is divided by 8189?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v + 9 = 4*f, -13 = 5*f - 5*v - 18. Let q = f - -21. What is the highest common divisor of q and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -2*b + 8. Let f(y) = y - 3. Let v(c) = 8*f(c) + 3*k(c). Let a(g) be the first derivative of -5*g**3\/3 - 71. Give a(v(t)).\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q**3 - 583*q**2 + 1086*q - 49961. Give k(-585).\nAnswer: -821","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:30 AM and 10:54 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -2*p - 6. Let a be l(-4). Calculate the common denominator of a\/(-3) + 292\/72 and 1\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -8 - -12. Let s(x) = 151*x**2 + 12*x + 97. Let l be s(-5). Suppose -536 - l = -i*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1602281 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -6*f + 6. Let r be a(-2). Factor -11*j + 3*j**3 - 10*j - 18*j**2 + 30*j - 12*j + r.\nAnswer: 3*(j - 6)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 0.4, 41734\/19, -2 in decreasing order.\nAnswer: 41734\/19, 0.4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3 - -3. Suppose 0 = 2*n - m - 2. What is the units digit of n*(1 + (-14)\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1 (b) -0.1018 (c) -39 (d) -13 (e) 0.1 (f) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x\/x**1)**(-14)*x**(6\/11)*x**(-3) assuming x is positive.\nAnswer: x**(-181\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 44.769 rounded to 1 dp?\nAnswer: 44.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = 657 + -656. What is the nearest to -2 in -4, b, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-6)\/9)\/((-2)\/15). Let l be 20\/6 - q\/15. Suppose -85 = -l*f + g, -4*g - 36 = -2*f + 34. What is the remainder when f is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -205542687 - -4.30849.\nAnswer: -205542682.69151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 12959222017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 662375.9 meters in micrometers?\nAnswer: 662375900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -622.28 and 5?\nAnswer: -3111.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 148065.\nAnswer: 3, 5, 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 6519 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -126 or 48\/77555?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1554541?\nAnswer: 113, 13757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in -0.05, 0.09, -0.5, -27?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 2351834 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 151\/12 and -97\/2806?\nAnswer: 16836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*k + 4*s - 98, -5*k + 44 = -2*k - 5*s. Let f = -5 - -13. Let w = 17 - f. What is the greatest common factor of k and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 13\/((-17)\/7854*-21). Let a be 44\/(-6)*(-3)\/1. Calculate the highest common factor of a and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -732 or -731?\nAnswer: -732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 99 + (123 - 51 - 72)\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 38*c - 33. Let d(h) = 129*h. Let s(i) = 221*i. Let y(x) = -12*d(x) + 7*s(x). Calculate t(y(p)).\nAnswer: -38*p - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -112011121 - 211212?\nAnswer: -120000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -26936*j**2 + 0*j**3 + j - 10*j**3 + 4 - 2 - 24*j**4 + 26934*j**2 as n*j**2 + x*j**4 + z + d*j + l*j**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 100553 (base 9) in base 14?\nAnswer: 17982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 720551.1 seconds?\nAnswer: 720551100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*f - 3*f - 19915 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 2556 + -3925656\nAnswer: -3923100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 32158897 + -38.714\nAnswer: 32158858.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 371710417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -9, -4, 1, 55, -2, 1096.\nAnswer: -9, -4, -2, 1, 55, 1096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-2)\/8 - (31 - 73724\/2352). Let w = -0.2 - 0.1. What is the third smallest value in w, a, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 237 is divided by 65.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = n + 12. Let r be b(-8). Let y(c) = -r + 13*c**2 + 2 - 6*c**2. Let x be y(-2). Solve 0 = -2*p + a - 6, 7*a = -4*p + 2*a - x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) 29 (b) -3\/4 (c) -2 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -154 - -142. Let l(q) = q**2 + 15*q + 40. Let x be l(c). Sort -0.2, 1, -0.3, x in ascending order.\nAnswer: -0.3, -0.2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/7, -1\/8, -3186909 in ascending order.\nAnswer: -3186909, -1\/8, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kggw when four letters picked without replacement from wwkgwwkwgkgk?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 2*x - 3)*(1704 + 1153 - 393).\nAnswer: -4928*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) be the third derivative of u**6\/25 + 17*u**5\/75 - u**4\/10 + 114*u**2. Factor l(k).\nAnswer: 4*k*(k + 3)*(6*k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -k**3 - k**2 + 1. Let m(c) = 5*c**3 + 3*c**2 - 72. Determine m(f) + 3*u(f).\nAnswer: 2*f**3 - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + i + 4 = -0*i, -i = -a. Calculate the remainder when 2 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 4, n: 6}. Give prob of sequence nntt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -457 + 10*j - j**2 - 5*j + 628 + 960.\nAnswer: -j**2 + 5*j + 1131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 12844568 * -3\nAnswer: -38533704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -186 - 4*y + 23*y - 20*y.\nAnswer: -y - 186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) be the first derivative of -1\/32*o**4 + 9 + 0*o**3 + 0*o + 5\/2*o**2 + 1\/240*o**5. Let x(z) be the second derivative of j(z). Find y such that x(y) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 5 (b) 1.5 (c) -0.2 (d) 7\/2 (e) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express -r**4 + 3*r**3 + r**2 + 3 - 5*r**3 + r**2 in the form u*r + x*r**2 + z*r**3 + v + t*r**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = 3*f - 1893, -322*f = -3*x - 318*f + 2865. What is the remainder when x is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -81*z + 385. Determine t(6).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*i - 10*i + 28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 - (-2 - ((-2)\/(-1) - 43)))\/((-30790)\/(-46185)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-2)\/(-7) + -38*(-4)\/56. Let f(t) = 3*t + 7 - t + 4*t - a*t. Let l(i) = -i**2 + 4*i + 7. Let b be l(6). Give f(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 2 - 2)*(-2*x + 1 - 1)*(-1 - 2 - 2).\nAnswer: -30*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -38.000299628 - -23.\nAnswer: -15.000299628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 222020001102 - -1220?\nAnswer: 222020010022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 4 = -4*m, -4*m + 5*z + 12 = 2*z. Suppose m = 2*h + 2 - 16. Let o = h + -2. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*h**3 - 226846*h**2 + 226790*h**2 + 4*h**3 - 1 + 3*h**3 to w*h**2 + q*h + p + k*h**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -6*u**2 + u + 1. Let l(d) = -d**2 + 6*d - 6. Let w be l(4). Suppose w*a - 2 = 4*a. Determine z(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/(-10))\/(45\/(-60)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 6*d**2. Let p(x) = -5*x + 120423. Calculate p(l(v)).\nAnswer: -30*v**2 + 120423","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -5*m**2 - 143*m. Let x(j) = 4*j**2 + 144*j. Give -2*h(f) - 3*x(f).\nAnswer: -2*f**2 - 146*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 733334*o - 10. Suppose -234 = -12*h + 114. Let n = -14 + h. Let w be s(n). What is w rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2 - 4. Let w(c) = -18*c + 2. Calculate the remainder when w(i) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -9659, -9660, -9661, -9662?\nAnswer: -9663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -23 + 23. Solve d = -0*d - 4*a - 21, 5*d + 4*a + 25 = v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 108.844 take away 107419?\nAnswer: -107310.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 53 is divided by (51\/9 - 3)*6 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 259202.3mm to meters.\nAnswer: 259.2023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1, 5, -3, -9, 2\/5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 575 = -0*c. Suppose -b - 4*b = -c. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3 + 48\/(-6) + 3 + 322. Suppose 5*d - 3*a - 729 = 0, -2*d - 3*a + m - 20 = 0. What is the remainder when d is divided by 32?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 21, 23, 33, 57, 101, 171, 273, 413?\n\"Answer: k**3 - 2*k**2 + k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = i**2 - 227*i - 42089. Calculate v(-121).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1392, -5520, -12270, -21534, -33204, -47172, -63330, -81570?\nAnswer: -101784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*o**3 + 14 - 6684*o**2 + 6673*o**2 - 14.\nAnswer: 3*o**3 - 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 353 minutes after 11:06 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 13 and 14756196.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 12\/9*132\/(-176)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 39493*b**3 - 8*b + 8*b.\nAnswer: 39493*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(130)\/(2*sqrt(20)\/sqrt(2)))**2*-3.\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 142 minutes after 7:23 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -641 + 0.01836738.\nAnswer: -640.98163262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 5, z: 2, g: 1, q: 2, t: 4}. Give prob of sequence zt.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-6)\/(-10) + (-98)\/5. Calculate the common denominator of -19\/5 and (v\/(-6))\/(12\/(-16)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2287 - -5794. Suppose 13*k - 20504 = p. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.39 + 0.4. Let i = h + -0.01. Which is smaller: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -3*j**2 + 2*j - 7. Let c(g) = -2*g**2 - 13*g - 10. Let o(x) = -x**2 + 8*x. Let n(k) = c(k) + 2*o(k). Determine 5*n(a) - 7*z(a).\nAnswer: a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6 - -46. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 35 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 264*r - 517*r + 275*r.\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 675, 780, 945, 1164, 1431?\n\"Answer: -s**3 + 36*s**2 + 4*s + 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*c + 39 = -7*c. Find the common denominator of -47 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(88) + (2*sqrt(88) - sqrt(88)) - sqrt(88))\/(sqrt(99)\/(sqrt(9) - sqrt(36))) + (sqrt(216)*1)\/(sqrt(60)\/(sqrt(5) + sqrt(45))).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 198 = -x. Calculate the highest common factor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -183, -364, -545?\nAnswer: -726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.02 + -0.02. Suppose -3*o - 4*d + 5 = -10, -d = o - 6. Let x = o - 37\/4. Put 5, x, k in descending order.\nAnswer: 5, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -46*i**6 - 3*i**4 - 1326*i**2?\nAnswer: -5520*i**3 - 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000410916 to five decimal places.\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f be 20\/5*1\/(-46). Let p = -11 + 11.4. Which is the closest to 0.5? (a) p (b) 1\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (35 - (54 - 23)) + -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 8864*k = 8716*k + 2072 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3280 divided by 328.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -2833 - -4?\nAnswer: -2828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -721.8 + 741. Which is smaller: -1.3 or n?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 3*i**2 + 4*i - 1. Let f(l) = 812*l**2 + 2552*l - 638. What is 2*f(z) - 1276*w(z)?\nAnswer: -2204*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3*((3 - 1) + -1). Let z = -13 - -15. Find i such that 0*i**z + 1 + i**2 - w*i**2 + i**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -1*7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 587 minutes before 12:14 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3.575218 kilometers in micrometers?\nAnswer: 3575218000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 4 (base 10) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1755, -3505, -5253, -6999, -8743?\nAnswer: -10485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = 2*t + 5, 2*g - 3*t + 10 - 35 = 0. Suppose 0*u = -g*u + 35. Let j be 8\/10 + 1\/5. Calculate the greatest common divisor of j and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*l**5 - 2842*l**4 - 246370*l**3 + 23044074*l**2 + 29514852*l + 6227280 = 0. Calculate l.\nAnswer: -90, -1, -4\/15, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -22998 bigger than -22610?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 1, q: 1, x: 2}. Give prob of picking 2 q and 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2265279.\nAnswer: 3, 103, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 7 + (-16 + 6 - -17) + -20\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = 3*m - 5*i, 6*i - 2*i - 20 = m. Which is the third smallest value? (a) 4\/19 (b) -3 (c) m (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*i - 4 + 4)*(7 - 8*i**4 - 1373*i + 1373*i).\nAnswer: 40*i**5 - 35*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9199.\nAnswer: 9199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g be -3*(1 - 8\/6). Suppose -v + 2 = -g. Suppose -v + 15 = 6*j. Calculate the least common multiple of j and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 34892 + 412.8573.\nAnswer: 35304.8573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = g**3 + 12*g**2 - 12*g + 8. Let r be c(-13). Let n be r*(-5)\/10*2. Solve 0 = x - n*x - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-176)\/154)\/(-1)*35\/12?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -17694024, -35388029, -53082034?\n\"Answer: -17694005*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (-125)\/((-43125)\/552)*(-2190)\/24\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -686*p**5 + 3*p**3 - 36*p**2 - 2*p - 294007 wrt p?\nAnswer: -13720*p**3 + 18*p - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -7 + 22. Let a = g - 11. Suppose 13*l + 63 = 20*l. Solve a*b = l + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) be the first derivative of -23*n**2 + 40*n - 75. Let y(g) = -44*g + 42. Let l(m) = 2*i(m) - 3*y(m). Differentiate l(q) wrt q.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*d + 10*d**3 - 5*d - 7*d**3 to q*d**2 + a + r*d**3 + i*d and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 113645 and 16065.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 372 minutes after 11:42 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let 3\/5*b + 3\/5*b**2 + 0 = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 169 + -248. Let r = 2 - c. Is 25 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -193 = -12*u - 73. Let q be -4 - 5\/(-10)*(u - 2). Is -2\/71 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 19 - 5*p**2 - 4*p**2 - 6*p + 7*p**2 + 7*p**2. Let g be (-4)\/(-5 + 1 - -3). What is the tens digit of h(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the first derivative of 5*i**3\/3 + i - 4. Let v(g) = g**2 + g - 1. Let s be v(0). Is a(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -67898 less than -67898?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.334 and -0.031003.\nAnswer: 0.010355002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9 - 10 + 15)*(0*p - 4*p + 3*p)*(3*p + p - 2*p).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -58*d - 465 = -63*d. What are the prime factors of d?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1248.386725 to the nearest 10.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2533.\nAnswer: 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 47731 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -345 + 960 = 3*l. Suppose -f = -5*q - l, -2*q - 764 = -5*f + 169. Suppose z - f = -64. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l - 30 = -36 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -36*g = -1580 + 2192 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 10002985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-43)\/(-645))\/((-6)\/(-20)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -2.482455 and 15?\nAnswer: 17.482455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = -7*k. Suppose 0 = -d + s - 3, -1 = -d - s - 12. Let p be (-1)\/((d\/(-2))\/(-7)). Solve -a - p*a - 3 = k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*c + d + 71900 + 105708, -c = -4*d - 59221. What are the prime factors of c?\nAnswer: 53, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 832 - -4111. Does 80 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine v so that -46*v**5 - 91590*v**4 - 1817006*v**3 + 8271318*v**2 - 5795028*v - 567648 = 0.\nAnswer: -1971, -24, -2\/23, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from najanito. Give prob of sequence aoji.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -2*4\/6*13\/104*12\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1 - -20?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -93*s - 5 = -94*s. Solve 4*q - 41 = -s*l, l - 2*q = -3*l + 12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 226015 and 2260149\/10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) be the third derivative of 0*j**3 + 19*j + 4*j**2 - 1\/60*j**6 + 0 + 23\/60*j**5 - 3\/70*j**7 + 0*j**4. Find the third derivative of r(s) wrt s.\nAnswer: -216*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -19, -4, 3, -52, -137, -3 in descending order.\nAnswer: 3, -3, -4, -19, -52, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 10 - 213?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -27*d*h**3*s + 4*d*h**3 + 28*d*h**2 + 10*d*s - 3*h**3 + h*s**2 wrt s.\nAnswer: -27*d*h**3 + 10*d + 2*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -l - 2. Let v be q(-6). Let m be (6\/8)\/(6\/10 - (-357)\/255). Let d = -5653\/15 - -377. Sort v, 1, m, d in decreasing order.\nAnswer: v, 1, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = q**3 + 3*q**2 - 17*q - 30. Let k be w(-5). Solve 2*u - 2*a + 6*a = -4, u = k*a + 19 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 130*w**3 - 80*w**3 + 12*w**3.\nAnswer: 62*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/11? (a) 2\/17 (b) 0 (c) 0.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*u - 3*k - 3 - 2, 12*u - 2*k + 122 = 32 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in -0.3, 6, -3, 27?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 74309 is divided by 36997.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 0.044, 1, 32\/3 in increasing order.\nAnswer: 0.044, 1, 32\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20 + 6*(-2)\/(-6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19*d + 8*d + 3*d - 12*d**3 + 10*d.\nAnswer: -12*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 2, w: 1, h: 1, o: 1, c: 1, e: 1}. What is prob of sequence cesh?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 67*i**3 + 3*i**2 + 5*i + 2. Let u be h(-1). Let q = u - -110. Calculate the greatest common factor of q and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*t + 8*t - 21*t - 9 + 3*t + 13*t.\nAnswer: 14*t - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = 348 + -245. Suppose -5*g - 2*l = -181, 3*g + 4*l + 0*l - u = 0. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = u + 22. Let d be n(-21). Suppose w - 5 = -d, -80 = -2*k - 4*w. What is the highest common factor of k and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*d**4 - 148*d**3 + 144*d**2.\nAnswer: 4*d**2*(d - 36)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 3639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 66914*t + 244857.\nAnswer: 66914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 59244439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2 - 1. Let d be (-3)\/12 - 26\/(-40). Let v be -1 + -1*(-9)\/8. What is the closest to 1 in v, q, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -15, 2, -4.\nAnswer: -15, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -460 (b) -171 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 126 and 378?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (v + 8*v - v)*(2*v - 3*v - v)*(-17*v**3 - 4*v**3 + 3*v**3)*(3 + 1 - 5).\nAnswer: -288*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is (3\/(-9)*3)\/(2*1\/(-5730)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -22*n - 24. Suppose 1 = 10*y - 19. Suppose -y*s - 18 = 4*v, 2*s - 6*s - 5*v = 36. Does 17 divide x(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4413503573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: ((-22)\/11)\/(((-2100)\/(-3200))\/(45\/40))\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 135, -4\/9, -1, -5, 110.03, -2 in decreasing order.\nAnswer: 135, 110.03, -4\/9, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3 + -2.6. Let z = 5113 - 5116. Put -1\/11, z, w, -1 in ascending order.\nAnswer: z, -1, -1\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 814 + -35656?\nAnswer: -34742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.113 minus 4.8892?\nAnswer: -5.0022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 46467, -4, -3 in increasing order.\nAnswer: -4, -3, 46467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (512\/24)\/(-8) - (-21)\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1240 and 260?\nAnswer: 16120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1706 - 859 + 1819*r - 847 + 5135*r.\nAnswer: 6954*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101101110000001 - -11?\nAnswer: 101101110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 6*j. Let u = 12025 + -12023. Let f(h) be the first derivative of 0*h + 1\/3*h**3 + 0*h**u + 10. Determine p(f(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w be (0 - (-2134)\/(-4))*-2. Suppose -w = -3*b - 410. Suppose -14 + b = 5*y. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 37474, 37370, 37268, 37168?\n\"Answer: d**2 - 107*d + 37580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**4\/(j**7*j))\/((j\/j**(-5))\/j**(-5))*(j\/(j\/((j**(-1)\/j)\/j*j*j)))**(-7\/4)\/(j**(1\/2)*j*j**(-3)) assuming j is positive.\nAnswer: j**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -469, -941, -1413, -1885, -2357, -2829?\nAnswer: -3301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 614892, 615841, 616790, 617739, 618688?\nAnswer: 619637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2299869 and 48?\nAnswer: 36797904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 2*l**2 + 5*l + 2. Let m be p(-3). Let d = -4.951 + -0.049. Let q = d + 5.3. Which is the nearest to -1\/4? (a) 2 (b) m (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -4 * 21.845.\nAnswer: -87.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:18 PM and 5:42 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t - 2*l - 313 = -309, -5*t + 2*l + 22 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 13, -5, -3, -6 in ascending order.\nAnswer: -6, -5, -3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6101 is divided by 6095?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Add -2653 and 0.09.\nAnswer: -2652.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iiyguggiigiggiiiguii. Give prob of picking 3 g.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p**2 - 19*p + 16. Let r be q(-11). Suppose 16 - r = 2*b. Let w = -29 - b. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 81*z - 14*z**3 + 11*z**2 - 76*z + 11*z**3 + 4*z**3 to t + a*z**3 + g*z + f*z**2 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 71854 = 28*s + 9*s. What are the prime factors of s?\nAnswer: 2, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k**3 + 2*k**2 - 3*k - 3. Let x be w(-2). Let j(u) be the third derivative of 1\/30*u**4 + 0 + 4*u**2 + 0*u - 1\/60*u**5 + 1\/30*u**x. Factor j(f).\nAnswer: -(f - 1)*(5*f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9046 = 4*o - 2*d, -1651 = -2*o + 3*d + 2874. List the prime factors of o.\nAnswer: 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in eleven tenths of a second?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f be -3 - 9\/(-3)*2. Suppose 5*r = 3*c - 47 + 9, 0 = 3*r - 4*c + 25. List the prime factors of f\/(-6) + r\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 848, -2\/5, 3\/40, 1\/4, 3\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide 10355216 by -2588804.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (213\/(-6) + (-189)\/126)\/1\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) be the third derivative of -q**5\/15 + q**3\/6 - 12*q**2. Find the first derivative of m(c) wrt c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3\/7 (b) 7 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 70*c**2 - 199*c - 768. Determine q(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h = -3*a - 1 + 2, -5*h = 2*a + 11. Calculate the smallest common multiple of 8 and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 27436*l**3 - 225*l - 71?\nAnswer: 164616*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10727541 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 23247948?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -2*s. Let c(j) = -38*j**2 + 9*j + 9. Let r(p) = 19*p**2 - 4*p - 4. Let o(w) = -4*c(w) - 9*r(w). Determine o(q(l)).\nAnswer: -76*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor x**4 - 8420*x**3 - 101139*x**2 - 379390*x - 421600.\nAnswer: (x - 8432)*(x + 2)*(x + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -184\/1376521 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d be -1*((-1001)\/(-21))\/(3\/9). Are d and -143 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6283302 is divided by 183.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 1024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) be the third derivative of 0*o**3 - 1\/560*o**7 + 0*o + 13*o**2 + 0*o**4 - 1\/896*o**8 + 0 + 1\/160*o**6 + 0*o**5. Factor t(p).\nAnswer: -3*p**3*(p - 1)*(p + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 5555255 and 60955.\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -224.638 + 225. Let q = -0.36387 + s. Round q to four decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -209, 22, 1\/9, 4, 5, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 195 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 4216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20232 = 2*n + 2*a, 6*n - 4*n = a + 20229. What is the thousands digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-5)\/6*56\/(-35))\/((-34)\/3)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.1511 and 44844.\nAnswer: 6775.9284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1892\/5, -740, -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -w + 11. Let k be u(-7). Solve 0*m - 2*q - k = -3*m, 5*m + 5*q = 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 22 - (19 + -7 + -8) - 40.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = p**2 + 6*p - 21. Calculate k(-11).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 738*p - 983.\nAnswer: 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put together 6425003 and -56.58.\nAnswer: 6424946.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -219*n**3 - 8*n**2 - 27*n - 22. Let d(z) = -164*z**3 - 6*z**2 - 21*z - 17. Calculate -9*d(q) + 7*k(q).\nAnswer: -57*q**3 - 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 55*k**3*z**2 - 2028*k**3 - 14*k*z**3 wrt z?\nAnswer: 110*k**3*z - 42*k*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -2420 divided by 1?\nAnswer: -2420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -0.1, 21, -2.3, -3 in ascending order.\nAnswer: -3, -2.3, -0.1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 248610537 to the nearest ten thousand.\nAnswer: 248610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 2\/239, -5, -0.075, 8\/7?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 929 and 6894109?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -25*m**2 + 12*m + 13. Let u(x) = 12*x**2 - 6*x - 6. Let n(k) = -6*o(k) - 13*u(k). What is the second derivative of n(f) wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) be the third derivative of 0*p + 0 + 1\/270*p**5 - 2\/9*p**3 - 3*p**2 + 1\/108*p**4. Factor u(c).\nAnswer: 2*(c - 2)*(c + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -33, -34, -35, -36?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 170341 is divided by 338?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 59 = -67. Suppose n + 2*z - 23 = 0, 4*z = -4*n + n + p. What is the greatest common factor of n and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (4\/3)\/(22\/(-3))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-3348)\/(-3240) + 10\/(-12). Let t be (-1)\/(-3)*2\/(9 + -3). What is the second smallest value in -10, -5, t, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = -0*w - 3*v - 23, 4 = -w - 4*v. Let n = w - -21. Solve -n*r - 2*k = -5 + 2, -4*r + 4 = 2*k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (176\/6)\/2*(-207)\/138\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 945664?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-35)\/105 - 25\/(-3). Let f be 210\/(-25) + c - 4\/(-10). Solve 2*t - 3 = -f*t - q, 3 = -t + 4*q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + 3 - -2 - ((-6 - -3) + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -14.013 - -16.71264. Let t = -2.7 + g. What is t rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -9 + 9. Let d = -464 - -459.99. Let l = -0.01 - d. Which is the smallest value? (a) l (b) n (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 860768 and 53071.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.1333 and 16.\nAnswer: 16.1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s be (0\/3 - 1)*(3 - 2). Let r be s\/(-8) + 21373\/88. Suppose 3*m - r = -3*f, 0 = -m - 4*m - 2*f + 399. What are the prime factors of m?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 237363 and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 168 - 187. What is the units digit of 722\/4 - w\/38?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*s = 366 - 318. Let f(t) be the first derivative of -t + s + 4\/3*t**3 + 0*t**2. Calculate f(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - 990\/75)\/((-8)\/(-60))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jtpt when four letters picked without replacement from {j: 9, t: 4, p: 3}.\nAnswer: 27\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 1514722 to the nearest one thousand.\nAnswer: 1515000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 262409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 2007 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: What is -16 divided by 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 3 - 2 - 36*r**2 - 6*r - 34*r**2 - 6*r**2 as g + p*r**2 + x*r and give p.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 205 - 0.00413659?\nAnswer: 204.99586341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**2 - 6*j + 8.\nAnswer: -2*(j - 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 24375?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d be (20\/(-25))\/(2\/(-10)). Let o(u) = u - 2. Let a be o(d). Let z(m) = 4*m - 5*m - m**a + m. Let y(w) = -w. Determine z(y(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.3112361km to meters.\nAnswer: 311.2361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*b**5 + 37*b**2 - 36*b**2 + 7*b**5 wrt b.\nAnswer: 540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:01 AM and 7:10 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 1307 divide 752012408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 149*x**2 + 91*x - 33. What are the prime factors of v(11)?\nAnswer: 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - 13 + 63 = 2*f, 0 = 2*b + 3*f - 15. Let z = b - 11. Suppose 0 = -z*a + 5*a - 7. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(0 + (-1 + sqrt(2057))*-3 + 2 + 3 + -5*(1 + sqrt(2057)))**2.\nAnswer: -131657 + 528*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.0341 + -4.9659. Sort -2\/3, t, -1.8 in increasing order.\nAnswer: t, -1.8, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) be the third derivative of h**5\/60 + 3*h**4\/8 + 2*h**3 - 4*h**2. Let b be r(-8). Suppose -5*c = p - 76, b*p - 33 = -2*c + p. Solve j - c = 4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 979836494 to the nearest integer?\nAnswer: 31302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = b**3 - 9*b**2 + 6*b + 16. Let r be w(8). Let y be (-16)\/28 - 128\/(-28). Solve 0 = y*k + 2*d, d = 3*k - r + 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 42 = -2*r, 9 = m - r + 2*r. Let n(w) = -w**3 + 2*w**2 - w + 2. Let u be n(2). Let c = 3 + u. What is the remainder when m is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22748831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 1140 = 3*b, -2*b - 3*b = 3*r + 1899. What is the units digit of ((-20)\/6)\/(18\/b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3008 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 59.99204 millilitres to litres.\nAnswer: 0.05999204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 14 - 6 = 0, 5*z - 35 = -4*j. Let h(t) = t**2 - 5*t + 9. Let l be h(z). Solve -l*k - 4 = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 5841 = 5842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43*c = 42*c + 3. Suppose -65*i + 64*i + c = 0. Suppose 4*g = g + 3*p, -i*g + 24 = 5*p. Solve 4*s - 5*s - g = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 43905 and 7.\nAnswer: 307335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*u + 18*u + 30 = 0. What is the greatest common divisor of u and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 6 + 4)*(-12*m - 8 + 6*m + 7*m) + 2 - 44*m - 3 + 30*m to j + l*m and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 34 a factor of 389045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 676 minutes after 8:00 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a factor of 5040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = 4, -4*j - 5*l = -j - 176. Let u be 60*((-14)\/(-4) - 2). Suppose u = 4*c - j. What is the remainder when c is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -5848*n - 23050. Calculate b(-4).\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -2*k + 2. Let z be (-2 + 247 + 5)*k. Let m = -161 - z. What is m rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bb when two letters picked without replacement from {m: 4, b: 10}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 71*h - 78*h + 173789. Suppose 7*m = -h - 28793. Round m to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in seventy-nine halves of a milligram?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 11100 (base 3) to base 10.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - (44 + (-43 - 33))) + (-18 - 2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 12679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = 7 + -5. What is the first derivative of -3*y**3 + 2*y**a - 2 - 2*y**2 + 0 wrt y?\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a and 1 n when three letters picked without replacement from {a: 10, n: 9}?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*y**3 - 6*y**3 + y**2 - 4*y**2 + 0*y**2.\nAnswer: 7*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 - 4*x - 1 - 1 + 1 + 2*x + (-2*x + 2*x + 6*x)*(-1 - 2 + 1) + 24*x - 2*x + 14*x to b + n*x and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -28 = -134*l + 141*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - (4 + -5)) + -3 + -11 + 35.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -88 - -56. Let w = -32.0098 - n. Round w to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 229634013?\nAnswer: 3, 7, 3271, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -271482243 times 3?\nAnswer: -814446729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -3\/699085 and 47\/42553?\nAnswer: 4893595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -16 = -4*h - 3*o, -2*o + 6*o - 11 = 5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {v: 4, e: 3, s: 2, i: 2, t: 3, h: 2}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -127*q + 14*q - 141*q + (3 + 1 - 5)*(-2*q - q + 4*q) to a + r*q and give r.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -2*g**3 - 64*g**2 + 211*g + 16. Let k be f(-35). What is the closest to 0.02 in -2, 0, k, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 524 - 273. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*a**2 + 188052*a - 4515552.\nAnswer: 4*(a - 24)*(a + 47037)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) 0.9 (b) -3 (c) -0.4 (d) -7800\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-five quarters of a millisecond in microseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 107 + -78. Calculate the remainder when 144 is divided by t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.07 times 23?\nAnswer: -1.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 8\/11 or 2?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-3 - (-18)\/5)*5. Let d be 16\/15 - 2\/f. Let u = 62 + -63. Which is the closest to d? (a) 3\/2 (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l\/(l*l**2))\/l)\/l*l)**18\/(l**14*(l**0\/l)\/l) assuming l is positive.\nAnswer: l**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 4.30308 rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 140619*o**3 - 2*o + 19271.\nAnswer: 843714*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - (8 - 19)) + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 513 + -859. Let p = 238 + c. Is p != -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.4 + -0.1. Which is the nearest to 6\/7? (a) u (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 415936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -a**3 + 10*a**2 + 11*a + 6. Let b be g(11). Is 1\/((b - 2)\/892) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -7\/11826 and -71\/286416.\nAnswer: 20908368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r*r**(2\/17))\/r*r*r)\/(r*r**(2\/3)))\/(r*r*r*r\/((r**(-1)\/r)\/r))**(5\/2)*r\/(r**(-2\/3)*r)*r**3*(r*r**(-1\/6))\/r**(-3) assuming r is positive.\nAnswer: r**(-487\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 0*y**2 - 3*y**3 + 2*y**5 + 9*y**2 - 4 - 5*y**3 + 5 wrt y?\nAnswer: 120*y**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) be the second derivative of p**4\/12 + p**3 - 3*p**2 + 2*p. Let h = -9 - -1. Let n be u(h). Solve n*w + 20 = 5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1 - (-4 - (-12)\/4). Suppose 0 = -k*w - r + 8 + 4, -2*w - 5*r + 28 = 0. Calculate the remainder when 11 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*d**3*n**3 + d**3*n - 380*d**3 - d**2*n**3 + 2*d**2 + 2480*n wrt d.\nAnswer: 18*n**3 + 6*n - 2280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*o**4\/7 - 2*o**3\/7 + 16*o**2\/7 + 24*o\/7.\nAnswer: -2*o*(o - 3)*(o + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1125 = y - 46*y. Suppose -17000 = 5*k - y*k. List the prime factors of k.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0.5, 0.3, -5, 0.112?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a = -y + 25257, -189*y + 184*y = a - 126348. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/(d*d**(-21)))\/d*d*d**(5\/3))\/(d*((((d\/d**2)\/d)\/d)\/d)\/d)**(-2\/63) assuming d is positive.\nAnswer: d**(1420\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 9965 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -277*h + 1011*h + 142*h + 453*h + 319*h in the form p*h + d and give p.\nAnswer: 1648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from {n: 12, m: 1}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -24*n - 4*n**4 + 2*n**4 - 2 + 28*n as m*n**4 + p*n**3 + x*n**2 + s*n + q and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 6.800711km?\nAnswer: 6800711000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 38034 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -11 = -3*v + d, 130*d - 285*d = 2*v - 154*d + 36 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 4740357*d**3 + 5621494?\nAnswer: 14221071*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Total of -81799478 and -4.\nAnswer: -81799482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*j - 11 + 3. What is the nearest to 0 in 6, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 123300 + 1002021?\nAnswer: 1131321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 466 a factor of 2683228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -216\/53 - 3307\/424. Find the common denominator of x and (-260)\/(-70) + -12 - -5*1.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -41*b**3 - b**2 - 1333*b wrt b?\nAnswer: -246*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (y - y - y + (0 + 0 + y)*(-4 + 2 - 1))*(0 + 1 - 2) + 0*y + 4*y - 2*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1739 is divided by 810.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0003512627473 to 5 dps.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d**2\/5 + 1104*d\/5 - 1106\/5 = 0. Calculate d.\nAnswer: -553, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/7 in -2138767, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = i**3 - 6*i**2 + 3*i + 4. Determine b(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3 + -6. Let l be (2883\/(-9) + -3)*t. Round l to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 90\/(-12)*(1 - (-10 + 1)). Let i = 165 + j. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m - 2*n = m - 108, 5*n + 135 = 5*m. Let y be 35 - m - 0\/(-1 - 1). Solve 17 = -5*z - y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-506)\/(-44)*20\/1150?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be 14\/(-21)*9\/(-2). Let i(d) = -1 - 10*d + 1 + d**j - 5 + 7*d**2. What are the prime factors of i(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 99 is divided by 43.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -10*q - 5. Let p be o(-2). Let c(a) = 5*a + 10*a**2 - 14*a**2 + 22 - p - a**3. Calculate c(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*q = -7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -5*p + 8. Let i(z) = z. Let x(u) = -f(u) - 4*i(u). Give x(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4749)\/(-168) + 5\/(-35). What is the second smallest value in 0.3, p, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -23 + 5 + 0 + 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1457 + 1453. Let y be (-1)\/(-8) + (-1)\/2. What is the second biggest value in 0.2, b, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*q = -2*i + 20, -2 = -3*q + i + 3*i for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00216 rounded to 6 decimal places?\nAnswer: 0.00216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from oooooblsslolsdl. Give prob of picking 1 o, 1 s, 1 b, and 1 d.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s*s*(s*s**(2\/7)*s)\/s)**(-30))**(-1\/50))**(1\/3) assuming s is positive.\nAnswer: s**(23\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is (5268\/(-9))\/(2\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u = 4, -u - 5 = w - 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -f**3 + 2*f**2 - 259*f - 1058. Let d be g(-4). Solve -5*n - 44 = -d for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -20.8 + 16.8. Which is the third biggest value? (a) 4\/9 (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k and 1 e when three letters picked without replacement from {e: 1, y: 1, k: 4, q: 1, p: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x - 2*j = -4*j - 19, 4*j = x - 11. Suppose -4*v + u = -0*v - 39, x*u = -3*v + 48. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22232220100 (base 4) in base 12?\nAnswer: b37694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) be the first derivative of 2\/35*h**5 + 0*h**2 - 3\/14*h**4 + 0*h - 2 + 4\/21*h**3. Factor d(p).\nAnswer: 2*p**2*(p - 2)*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 27\/2 of a hour?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*b - 2*c + 20, -17*c + 32 = 5*b - 14*c. Let w(q) = -q**3 + 4*q**2 - 4*q + 3. Let t be w(2). Suppose -b*m + t*m = -143. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = z + 38. Let l = z - -53. Let i(t) = 1006*t**2 - 4*t - 1. Is i(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -7034, -7037, -7040, -7043, -7046, -7049?\n\"Answer: -3*i - 7031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -280564 (base 12) in base 11?\nAnswer: -414153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -25 - 44 - 13 - 53 + 6*z. Let y be p(23). Factor 36\/7*l**y - 32\/7 - 24\/7*l**2 - 80\/7*l.\nAnswer: 4*(l - 2)*(3*l + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - y = 4*y + 922, y - 1191 = -4*o. Let p = 512 - o. Calculate the remainder when p is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-70)\/((-486080)\/(-558)))\/(30\/35)\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-2)\/(-6)*-3 - -11. Solve m = -m + a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 88968304, 177936603, 266904902, 355873201, 444841500?\n\"Answer: 88968299*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -22 - (-9 + -19 + 32) - 10\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 636280929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10\/((-140)\/7))\/(((-42)\/14)\/(-198))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1674, 1587, 1500, 1413, 1326, 1239?\nAnswer: 1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1.55 - -179.55. Let n = -4734601.211 + 4734779.21100465. Let v = n - o. What is v rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = -3*s - 2 - 3, 4*s + 5*b + 3 = 0. Let f = 5 + s. Let z(c) = c**3 - 13*c**2 - 13*c - 9. Let v be z(14). Solve v = -f*j - 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(-4*(sqrt(2673) + 1*sqrt(2673)) + sqrt(2673)))\/((sqrt(22)*-2*-2)\/((sqrt(2) - sqrt(8)\/sqrt(4)*4) + sqrt(2))).\nAnswer: -126*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 0.45, 4, -12, 5 in ascending order.\nAnswer: -12, 0, 0.45, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -74, -190, -306, -422, -538?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 1333*l**4 + 2*l**2 - 660*l**4 + 37*l**3 - 672*l**4 - 5 as u*l**2 + h + z*l + a*l**4 + q*l**3 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 203106224 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 520 minutes before 3:34 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 11121*a**2. Let x(m) = -1269*m. Give x(z(h)).\nAnswer: -14112549*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 5007460, 10014925, 15022390, 20029855?\n\"Answer: 5007465*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 4*m + 4 = 0, 59 - 25 = 3*t + m. Let i = -6 + 8. What is the lowest common multiple of i and (-4)\/t*(-6 - (76 - -3))?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (58\/(-6))\/(3\/(-324)). What is the common denominator of (f\/48)\/(9\/(-10)) and -75\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -749 - -749. Let h(p) be the second derivative of 1\/6*p**4 + 8\/3*p**3 - 3\/10*p**5 + w - p + 4*p**2. Let h(y) = 0. What is y?\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1724 + -1316. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 23\/9 and 43\/5874381?\nAnswer: 5874381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 68 a factor of 4216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o and 1 v when three letters picked without replacement from vovvoovvvvvoov.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -0.3, 1\/7, -2\/3, -30?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.07 - -0.03. Let k = 0 + h. Which is the closest to 0.1? (a) -2\/5 (b) k (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 2\/1083 (b) -2\/9 (c) -295 (d) -1\/9 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 3831, 3829, 3815, 3783, 3727?\n\"Answer: -y**3 + 5*y + 3827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 899083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.0438 - 0.4562. What is the nearest to 0.2 in -2\/3, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 42709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 553461943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -949260, -949250, -949248, -949260, -949292?\n\"Answer: -c**3 + 2*c**2 + 11*c - 949272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 13*u + 275. Let j be n(-21). Find the second derivative of 109*l - 26*l**2 + 1 + 22*l - 45*l**j wrt l.\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -121*u - 22829. Determine b(-185).\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = p**2 - 49*p + 43. What is f(48)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 636880504 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = -159 + 601. Is 17 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -18435*q**2 - 5*q**3 + 1084342*q - 14624011*q - 9116946*q - 9281659945.\nAnswer: -5*(q + 1229)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/(-2)*(-2 + -8). Let t = u + 12. Suppose -a + f = a - 3, -2 = -2*a + 2*f. Solve -a*k = 2*y + 2, 4*k - 5*y + t*y = 31 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -5*o**3 - 474*o**2 + 154*o + 4181. Give z(-95).\nAnswer: -1424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 6881.943 nanometers?\nAnswer: 6.881943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -23829 - 19045 = -2408*z - 890*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -71899716, -71899717, -71899718, -71899719, -71899720?\n\"Answer: -l - 71899715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert a00 (base 11) to base 13.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 22602333 by 7.\nAnswer: 22602333\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -4*q**2 - 3*q - 1. Determine w(-3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:37 PM and 4:38 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = -225 - -229. Let z = 2.62 - 0.22. Let n = -0.6 - z. Which is the nearest to -2? (a) f (b) n (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 8320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Do 5729145 and 5729145 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -2.931 to one decimal place.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 968000.3 nanometers in centimeters?\nAnswer: 0.09680003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (232\/261)\/((-2)\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 22012260 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -0.3492627 to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n be (0 + 1503\/(-12))\/(69\/(-368)). Suppose -b + 4845 = 5*u + 1499, u - n = b. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -28.4 less than 4583?\nAnswer: 4611.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -0.1766325 bigger than 21\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -17762, -2, 1 in decreasing order.\nAnswer: 1, -2, -17762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 891125*o**2*p*w**2 + 9*o**2*p*w + 132576*o**2*w**2 + 45*o**2*w wrt p.\nAnswer: 891125*o**2*w**2 + 9*o**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -88 = -3*f - 5*b, 3*f + 2*b - 91 = -0*b. Let p = f + -17. What is the greatest common divisor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1405 divide 111059630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 6\/5 of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 449537?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 13, 1, -4, 0 in decreasing order.\nAnswer: 13, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = 334.415 + -334.251167. Let k = 0.164 - v. Round k to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5 - -41. Suppose -30*o - g = -34*o. What is the greatest common factor of 6 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -14 divided by 68174141?\nAnswer: -2\/9739163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(3500) + sqrt(3500)*1 + sqrt(3500) - sqrt(3500))\/sqrt(5))**2 - (sqrt(70) - 5*-2*sqrt(70))\/sqrt(10).\nAnswer: -11*sqrt(7) + 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.069 - 4.876. Let y = 0.055 - b. What is the nearest to 2\/7 in y, -3, 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((78\/(-13))\/(-6))\/(22\/2)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -10.225 - -8.4. What is u rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.3, 71, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 15 = 8*o - 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3\/4? (a) 65\/6 (b) -7\/5 (c) -4 (d) -5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 38, -4, -391, -2 in increasing order.\nAnswer: -391, -4, -2, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in 12.5, 3, 18, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: ((2730\/20)\/(-13))\/(-6)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i**(2\/9))**(-42)\/(i*i\/(i*i\/i**(1\/4)))**(-31) assuming i is positive.\nAnswer: i**(-523\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 2 + 0)*(36*w + 33*w - 66*w)*(-4 + w - 7 + 9).\nAnswer: 6*w**2 - 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 11678213 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 451825 is divided by 75302.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand -4 - 354*t - 3*t**3 + 354*t + (-t + 2*t - 4*t)*(3*t**2 + 0*t**2 - 4*t**2) - 2*t + 2*t + t**3 + 5*t**3 + 0*t**3 - 4*t**3.\nAnswer: 2*t**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find x such that 2*x**5 - 4354*x**4 + 2705908*x**3 - 346544132*x**2 - 5357223414*x - 5007969018 = 0.\nAnswer: -13, -1, 193, 999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express (12*n + n - 6*n)*(-3 + 2 + 0) in the form q + o*n and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 2*f**2 + 13*f - 100. What is the units digit of a(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 0.4 (b) -1 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -97\/2 and (-422)\/56 + (-1)\/4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c - 5 + 16 = p, 4*p = -3*c + 26. Solve 5*n + p = -0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) be the third derivative of 0*f**3 - f**2 + 1\/4*f**5 + 0 + 3\/40*f**6 - 1\/112*f**8 + 1\/4*f**4 - 1\/70*f**7 + 0*f. Find t such that h(t) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1235\/12 - -30341\/300. Calculate the common denominator of c and -121\/12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4460 and 25?\nAnswer: 22300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1519 + 1522. Suppose -4*g - 3*h - 8 = 0, 0 = -4*g + 4*h + 5 + 15. Differentiate 4 + 2 + d - g + 2*v with respect to v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = y - 5*j + 13, 0 = 4*y - 3*j + 7 - 40. Suppose -324 = -4*s + s. What is the greatest common factor of y and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 21, 141, 337, 609, 957?\nAnswer: 1381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 669?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) be the third derivative of d**4\/24 + d**3\/2 + 9*d**2 + 2*d. Suppose -5*s = -2*s. Determine y(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 2*j + 3)*(-2*j**3 + 5*j**3 - 2*j**3) + (-j**2 + 8 - 8)*(0*j**2 + 3*j**2 - j**2 + (2 + 2*j - 2)*(-3*j - 1 + 1)).\nAnswer: 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(33)\/(sqrt(22)\/sqrt(2)*3) - (-1 + (sqrt(12) - sqrt(3))*-6).\nAnswer: 1 + 19*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 10, z: 2}. Give prob of sequence rrr.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in -5, 1\/4, -0.3, -1130?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 80678926 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -79015 or -79014?\nAnswer: -79014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:03 PM and 4:04 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*a - 10 = -10. Suppose -2*p + 37 + 91 = a. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q + 4*y + 10 = 0, 4*q + 5*y + 6 = -8. Let i be -1*((-1344)\/(-245) + (-2)\/7). Let b = i + 229\/45. Is q less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 79625 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -134522 - -246?\nAnswer: -134254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*x**3 + 1192*x**2 - 4720*x + 4704.\nAnswer: -4*(x - 294)*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*x**2\/8 - 2266965*x\/8.\nAnswer: 3*x*(x - 755655)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*x - 362 + 258 = -8*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o be 3*408\/(-9)*-2. Let x(f) = 63*f - 1. Let q be x(-3). Let a = q + o. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 9}. What is prob of sequence ff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3\/5 in 0.182, -1, 3, 0?\nAnswer: 0.182","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:25 PM and 4:43 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find l such that -l**5\/3 - 2932*l**4\/3 - 5855*l**3 - 26338*l**2\/3 - 11704*l\/3 = 0.\nAnswer: -2926, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find x such that 9*x**3 - 21*x**2\/2 - 6*x + 15\/2 = 0.\nAnswer: -5\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 508047682*h**4 + 403*h - 524978 wrt h.\nAnswer: 6096572184*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 24, -30, -40.\nAnswer: -40, -30, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*i - 7*i - 25*i + 15*i + i.\nAnswer: -31*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 7.962425 meters to centimeters.\nAnswer: 796.2425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 22624 and 4444?\nAnswer: 248864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -367887718*b*g**3 + 431*b - g**2 - 91073*g wrt g?\nAnswer: -2207326308*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.109 and -1.4775685.\nAnswer: -1.5865685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13\/(-156)*-63*(-3)\/(-21)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0173592 times 0.2?\nAnswer: -0.00347184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 77.2580124 - 755.6\nAnswer: -678.3419876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4 or -1853\/478?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -r**3 + 35*r**2 + 122*r - 303. Let s be q(38). Let w(a) = -2 - 12*a + 3 + 0. Determine w(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 142 + 44*l - 142. Let q(h) = 2*h**2. Give j(q(o)).\nAnswer: 88*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 59 a factor of 690300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 2575913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is (-395396284)\/(-7960) + ((-1)\/(-6))\/((-10)\/(-6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -12 + 19. Let l = 9 - j. Calculate the remainder when 5 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-188)\/(-8) - 25)\/((-1)\/2). Solve n = -2*w - v, -3*n - 31 = 2*w - 38 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, s: 11}. Give prob of picking 1 m and 1 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1144, 1147, 1150, 1153, 1156?\nAnswer: 1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 562*t**3 - 1 + 63*t**3 + 1.\nAnswer: 625*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f be (8\/10)\/(8\/20). Suppose -5 = -5*i - f*w + 8, 4*w = -3*i + 19. Let g = 1 - i. Solve g = l + 2*l - 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -60581920 by -216364.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 1, x: 4, l: 3, e: 7, y: 1}. What is prob of sequence exll?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 344464307 + 126*k - 126*k + 20*k**2 - 344464307.\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 41*l**3 - l**2 - 3*l + 2. Let g be i(2). Suppose -v - g = -5*v. Is 16 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16c8b (base 14) in base 8?\nAnswer: 160013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/52*(-403)\/(-124).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(99)\/sqrt(3))\/sqrt(11))**2 - (sqrt(432) + 1)) + sqrt(15)\/(sqrt(5) + (sqrt(5) - (sqrt(180) - 1*sqrt(180))))*1.\nAnswer: -23*sqrt(3)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 2*j - 3*j - j. Let g(o) = 12*o**2 - 7*o. Let s = 18 + -20. Let u(h) = 4*h**2 - 2*h. Let p(c) = s*g(c) + 7*u(c). Give k(p(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) be the first derivative of -7*z**2 - 2*z - 11. Let o be s(-9). What are the prime factors of o\/6 - (-4)\/(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 171382 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that 2*x**4 - 94*x**3 + 652*x**2 + 10744*x + 18096 = 0.\nAnswer: -6, -2, 26, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - (-1 - (-12 - -12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 87*l - 1190 = 637 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 90277?\nAnswer: 11, 29, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand ((x - 3*x - 8*x)*(-4*x + 2*x + 4*x) - 2*x**2 - 1 + 1)*((1 + 1 - 1)*(4 + 0 - 5) + (2 - 5 + 1)*(2 - 4 + 0)*(-4 + 4 + 5)).\nAnswer: -418*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1)\/(-14*(-9)\/252). What is the fifth biggest value in 7, 1\/2, n, 1.1, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -86*n**6 - 34*n**6 - 26*n**6 - 5*n**6 - 5*n**2 - 24*n**6 wrt n?\nAnswer: -21000*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 16533 times -0.2\nAnswer: -3306.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, 3, -0.5, -4\/25 in increasing order.\nAnswer: -0.5, -4\/25, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 659.352 to the nearest 10.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sas when three letters picked without replacement from savovbsr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 5*p - 1 + 0)*(-8 - 1 + 14) + 2 - 6 + 5 - 17*p in the form f*p + u and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -j + 7 + 0 = 2*p, 5*j = -5*p + 25 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 4.705776 milliseconds?\nAnswer: 0.0000784296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 12*p**2*v**2 + 50*p**2*v + 112497*p*v**2 - 25*p*v + 470*p wrt v?\nAnswer: 24*p**2 + 224994*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q be 53\/((-10)\/(-25) - 9\/(-15)). Suppose -51*a - 2 = -q*a. Solve -3*f + 4*x = 8, -4*f - 2*x = -5 + a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 1 m when two letters picked without replacement from gamsmzdza?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 11, q: 2, z: 2, v: 4}. What is prob of picking 1 n and 1 q?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8881374, 17762748, 26644122, 35525496, 44406870?\nAnswer: 53288244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Product of -2811.7 and 0.5.\nAnswer: -1405.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 105 divide 6825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 7) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 2, p: 10, y: 4}. What is prob of sequence my?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**(-3\/4)*g\/g**19 assuming g is positive.\nAnswer: g**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -1083, -944, -773, -564, -311?\n\"Answer: c**3 + 10*c**2 + 102*c - 1196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1243\/6 + 3 - -3. Let f = m - 232. Find the common denominator of -1\/14 and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 669940*w - 17418435. Determine a(26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4694*b**2*f**3*w**2 + 1305*b**2*f**3 + 127163*b*f**3*w**2 + 2*b*f*w**2 + 31*f**3*w**2 wrt b.\nAnswer: -9388*f**3*w**2 + 2610*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 161*u**2 - 2*u + 12 + 2*u - 30 + 16.\nAnswer: 161*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-10)\/70 + 66\/21. Solve -3*d = f + 2*d + 9, -5*d = -a*f - 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) be the third derivative of l**5\/30 + l**4\/6 + l**3\/3 + l**2. Let c(d) = 23*d**3 + 69*d**2 + 3*d + 5. Let m be c(-3). What is q(m)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -10340112 + -4420?\nAnswer: -10400032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 88 divide 1122558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -84, -86, -88, -90, -92?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 1376548, -1, -0.5, 0.1 in ascending order.\nAnswer: -1, -0.5, 0.1, 1376548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -74405, -148826, -223165, -297416, -371573, -445630, -519581, -593420?\n\"Answer: c**3 + 35*c**2 - 74533*c + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 61.775 millilitres in litres?\nAnswer: 0.061775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-22*z - 9*z**2 + 22*z)*(z**3 - z**2 + z**2).\nAnswer: -9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 - 2)*(-95)\/57?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -d**3 + 64*d**2 + 428*d - 375. Let p be h(70). Which is smaller: p or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 4*r - 4. Let p be h(-6). Let i be 6\/45 + p\/(-15). Factor -2*k**2 + 10*k - 8 - 11 + 7*k**i + 4.\nAnswer: 5*(k - 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) be the second derivative of 7*z**3\/6 + 21*z**2\/2 + 15*z. Let j be q(-3). What are the prime factors of (69 - -11) + 1 + j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:51 PM and 2:54 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -k**2 + 6*k + 4. Let x be d(6). Suppose 3*q - 8 = x. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c + 3*b - 22 = b, 46009*b - 46001*b - 48 = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 - 1 = -w. Solve 0 = -w*a + 7*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-8)\/(-338)*(-12688)\/1952?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = r - 4. Let i be u(6). Let d be 4 - i - -1*1. Let h be (-12401 - (3 - 1)) + d. Round h to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -967 - -719. Let m = 183198851863 + -183198852110.999999787. Let z = o - m. What is z rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 109*u - 362 = 15*u + 207*u - o, 2*o - 22 = -u + 21 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 29788220 is divided by 2482351.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 + q - 1)*((0 + 0 - q)*(1 + 2 - 1)*(-2 + 5 - 2) + (-2*q - 3 + 3)*(-10 - 5 - 2)) to the form l*q + r*q**2 + h and give r.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -36520, -36522, -36524?\n\"Answer: -2*m - 36518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8, -6, -10, -26, -60?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 70032862.\nAnswer: 2, 131, 267301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = -81 + 75. Suppose z = -4*t - 4, z - 2*z = -2*t - p. Is 3\/5 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -74 + 22 + (-13 - -17 - 26) + (16 - 3)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-930)\/62*(-918)\/(-270).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-21)\/9)\/(-1))\/(-3*6\/54)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1575 + -1569. Which is the fourth biggest value? (a) q (b) -2\/15 (c) -18 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -o**3 - 6*o**2 - 15*o - 32. List the prime factors of z(-7).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (10\/(-55))\/(10\/(-11)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 7*q + 66. Let m be h(-9). Suppose -m*z + 23 = 2*s - 2, z = -3. Solve -7*v - c = -3*v + s, -c = -v - 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -42 - -46. What is the second derivative of -2*y - y**5 + 6*y + x*y**5 wrt y?\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 100*f - 86*f = 84 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 144 minutes before 10:36 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*o - 12 = -3*i + 3*o, i + 4*o - 1 = 0. Solve 10 = -z - i*r, -r = -2*z - 6*r - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 180*o = 471*o - 204*o - 2523 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 2, 3, -7 in decreasing order.\nAnswer: 4, 3, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/4 of a hour in seconds?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000038155572 to seven dps.\nAnswer: 0.0000382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 365715 and 121905?\nAnswer: 365715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = 36 - 18. What is the third derivative of -r*z**2 + 9*z**4 - z**4 - z**4 wrt z?\nAnswer: 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 20930*i - 4161*i + 5439*i - 6549*i.\nAnswer: -26201*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -a**3*l + 37*a**2*w**3 - a*l*w**2 + 105*l - w**3 with respect to a.\nAnswer: -3*a**2*l + 74*a*w**3 - l*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1750, 1752, 1754, 1756, 1758?\nAnswer: 1760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31413?\nAnswer: 3, 37, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 131 = -2*y + 121 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -5613, -226, -3 in decreasing order.\nAnswer: -1, -3, -226, -5613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:55 AM and 6:25 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: ((5 + -19 - -25) + -12 - -17) + 16\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11011001001001 - 100111111000100?\nAnswer: -1100101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*r + 0*r + r**2 - 4*r**2 to b*r + q + c*r**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.3 and -348.1.\nAnswer: -347.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k + 2*r = 140, -4*k + 130 = -0*k - 2*r. Solve 25*d = k*d + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = r**3 - 4*r**2 + 2*r - 4. Let x(h) be the third derivative of h**4\/4 - 11*h**3\/2 - h**2. Let k be x(6). Calculate g(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2\/89 - -184\/267. Solve 1\/3 + 1\/3*n**2 + j*n = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 152017640.\nAnswer: 2, 5, 67, 131, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = p**2 - 3*p - 2. Let w be o(5). Let k = 20 - w. Suppose -4*u + k = 4. Solve -2*v = u*v - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 19257\/4 + -4813. Put 0.4, t, -4\/7, 32 in ascending order.\nAnswer: -4\/7, 0.4, t, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3731*i**2*n*o**3 + 102063*i**2*n + 12079*i*n**3*o**3 + 77*i*n**3*o**2 + 2*n**3*o**2 wrt o.\nAnswer: -22386*i**2*n + 72474*i*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 2876988893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = 126\/5 - 25. Let g = -4 + -1. Suppose -8 = 4*x - 0. What is the closest to i in g, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 356567521\/1504386 - 10\/83577. Let l = -237 + v. Which is greater: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/7, -11, -0.3, -1\/65.\nAnswer: -11, -4\/7, -0.3, -1\/65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 1, v: 3}. Give prob of picking 2 v and 1 w.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 4, w: 5, k: 4, a: 3}. Give prob of picking 1 k, 1 v, and 1 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 1013 = 46*k - 105*k - 931 - 1065 for k.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-5)\/((-5)\/6) + -1. Let a(j) = -j**3 + 7*j**2 - j. Let b be a(5). Suppose b = x*t - 10. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4112449349\/1005704 + 5\/251426. Let l = -13961 - -9863. Let k = o + l. Calculate the common denominator of -35\/3 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1529 is divided by 41?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 217 a factor of 36100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 41 minutes after 5:49 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a - 12 = -3*x, -3*a + 6 = 5*x - 14. Let q(g) = 9*g**2 - 6*g**2 + a*g**2 - 2 - 5*g**2. Let b(m) = 3*m**2 + 5. What is 3*b(t) + 7*q(t)?\nAnswer: -5*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -o**3 + 23*o**2 - 25*o + 71. Let j be w(22). Put 1\/4, 2, j in descending order.\nAnswer: j, 2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) be the third derivative of -o**8\/336 - o**7\/105 + o**6\/30 + o**5\/30 - o**4\/8 - 106*o**2. Factor b(i).\nAnswer: -i*(i - 1)**2*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s + 1472 = -4*x + 1500, -3*s - 17*x + 59 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -4876620 divided by 2438310?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 127025738?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 6 - 1)*(3*b + 2*b - 3*b)*(0*b**3 + b**3 + 3*b**3).\nAnswer: 24*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -9*m**3 + m**2 + 4*m + 3. What is the remainder when a(-2) is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (-90)\/(-24)*392\/(-245)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/24*140\/7?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -1044152 (base 6) to base 7.\nAnswer: -306566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(156) - (sqrt(156)*-2 - sqrt(156)))*-1 + sqrt(156)*2*4)\/(sqrt(36)\/(sqrt(3) + (sqrt(27) - sqrt(3)))*2) + -1.\nAnswer: -1 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 24 and 456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 6801, -2, -3\/4, -1\/2 in descending order.\nAnswer: 6801, -1\/2, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.7674 and 0.01?\nAnswer: -0.007674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6\/(-155))\/((-3514)\/(-8785))?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00036556 to five decimal places.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 13520 and 2544?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -14799510*u**4 + 63820*u - 24 wrt u?\nAnswer: -177594120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = l**2 + 4*l - 13. What is the tens digit of y(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4 + -4 + 26 + -13)*72\/15. Let s(k) = 4*k**2 + 4*k + 4. Let p be s(-5). What is the highest common divisor of p and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 5*f + 1. Let u(s) = -s**2 + 6*s + 5. Let j be u(7). Let k(a) = a**3 + a**2 - 2*a - 1. Let z be k(j). Give b(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3 - -6. Let n = 3 - j. Suppose n*c - 15 = -3*c. What is the greatest common factor of c and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, -4\/5, -0.2, -1\/8 in ascending order.\nAnswer: -4\/5, -0.2, -1\/8, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m + 10*g + 6 - 9 = 7*g, -g = -4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1 + 13241?\nAnswer: 13240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:33 AM and 12:58 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3 - 1. Sort c, 4, 0.5 in descending order.\nAnswer: 4, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 66*z - 371 = 24*z - 35 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -45*p - 58 = 16 + 196 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 20151*s - 60459. Calculate h(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -41 divided by 22261\nAnswer: -41\/22261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(1\/8)*s*s**(-5\/2)*(s\/(s**(3\/4)\/s*s))**(-7) assuming s is positive.\nAnswer: s**(-25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hh when two letters picked without replacement from ahsha?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 258 + 95781145\nAnswer: 95781403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Let q(x) = x + 9. Let l be q(-9). Let u = 764 + -504. Suppose l = -5*a + a + u. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = -109\/3 + 36. Let m = 1977 - 1977. Which is the third biggest value? (a) s (b) 1\/16 (c) m (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -436*d + 5071 = -106*d - 8789. What is the lowest common multiple of d and 498?\nAnswer: 3486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 240, 242, 246, 252, 260?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -f**2 + 12. Let l(g) be the third derivative of 3*g**5\/10 - 6149*g**2. Calculate l(b(z)).\nAnswer: 18*z**4 - 432*z**2 + 2592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q be -4 + 1 + 6 + (-150)\/42. Sort -2\/9, q, 5\/3 in ascending order.\nAnswer: q, -2\/9, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 70\/1666*336\/120?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -22038620.67 to the nearest ten thousand.\nAnswer: -22040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*c + 79 + 46. Let b be (-5)\/c*5 + 13 + 0. Let k(s) = 4 + s - 4*s + s - b. Determine k(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 567 = r, c = 3*c + 4*r - 564. What are the prime factors of c?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 302*a**2 - 210 - 207 - 202 + 627 as i*a + r + o*a**2 and give o.\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(2\/9)\/(z**2*z))**4 assuming z is positive.\nAnswer: z**(-100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(13\/2)\/((q\/(q**(-25)\/q)*q)\/q))\/((q**(-10)*q*q*q)\/(q*q*(q**(-6\/11)*q)\/q*q)) assuming q is positive.\nAnswer: q**(-243\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*u = 59*u - 1620. Find the common denominator of u and -81\/850.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 12 and 1788?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - (14 + -24)) + -13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5\/50*(-2 - -1).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-32)\/(-12) - 16\/24. What is the common denominator of 3 - 6\/(-64)*46*d and -59\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/2? (a) 1 (b) 3 (c) -1.5 (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -70 = 43*x - 57*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.94 times 142801?\nAnswer: 134232.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1\/(-4) + 102348\/(-16). Let g = x + 63903\/10. What is the common denominator of -79\/2 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*((-2 + 1*sqrt(1700) + sqrt(1700) + -4 - (-2*-2*sqrt(1700) + sqrt(1700)*-2*4))*-1)**2.\nAnswer: -3600*sqrt(17) + 306180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 13369589 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = 118 - 100.6. Let c = -1.4 + v. Let g = c + -15.9999898. What is g rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 708906976?\nAnswer: 2, 37, 103, 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = 4*l - 4. Let z(m) = -7*m + 7. Let c(y) = -5*v(y) - 3*z(y). Give c(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 3*q - 2. Suppose v + 15 = 2*i, -i - 3*v = -v + 5. Calculate the remainder when 50 is divided by p(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -30*i*o**2*y + 22*i*o - 3*o**3*y + 6*o**3 wrt y.\nAnswer: -30*i*o**2 - 3*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (445\/1958*(-55)\/(-50))\/(2\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(1\/2))**(3\/35)*((v\/(v**6\/v))\/v)\/v**(1\/9))**28 assuming v is positive.\nAnswer: v**(-6386\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange r + 15 - 37 + 11 + 9 + 4*r**2 to n*r + q + m*r**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the second derivative of -j**6\/5 - j**5\/5 - 49*j**4\/12 + 5*j**2\/2 - 138*j. Find the third derivative of l(q) wrt q.\nAnswer: -144*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5\/(-4)*(-94)\/(-470)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -s - 2. Let w be m(-5). Let a(g) = 11*g - 31. Let u be a(7). Let h = -44 + u. Solve h = i + w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -48*p**3 + 5*p**2 - 10*p + 2. Let o be m(-7). Suppose -o + 651781 = -5*n. What is n rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u\/(u**1*u)*u*u)**(-3\/22)*u**(7\/4)\/u*u**5 assuming u is positive.\nAnswer: u**(241\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*l**4 - 2*l**4 - 2*l**4 + (-3448*l**2 - 852945 + 852945)*(l**2 - l - 2 + l) to d + n*l**3 + c*l + v*l**2 + b*l**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (27*c - 278*c - 54*c)*(-1 + 0 - 1)*(7 - 7 + 6*c).\nAnswer: 3660*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1148353810 to the nearest integer?\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 4*k = -17, 2*p + 4*k = 3*k + 12. What is the second derivative of -p*z + 8 - 9 + 1 - 11*z**2 wrt z?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2580 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-6)\/(-6) + (2 - 88)*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4a (base 12) in base 3?\nAnswer: -2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1161)\/135 + 112\/70 + 45\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 times -0.992?\nAnswer: 1.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = 8 - 5. Let t(q) = q**3 - 2*q**2 - q - 4. Let v be t(x). Solve -2*p + 5*k + 20 = p, p - 8 = v*k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of (7\/14*-14)\/(-4)*12 and 1869.\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {i: 3, y: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -86876957*g**3 + 140654298.\nAnswer: -260630871*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n and 1 o when three letters picked without replacement from oonnnovnnononnnonnvo?\nAnswer: 77\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 152997 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 28 (base 15) to base 2.\nAnswer: 100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 76.364 millilitres?\nAnswer: 0.076364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 14 divided by 69509\nAnswer: 14\/69509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 211 minutes after 8:10 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -58, -34, -10, 14, 38, 62?\n\"Answer: 24*w - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 5*m - 2. Suppose x = -2*w + 4*x + 13, m = 5*w + 3*x. Suppose 0 = -0*v + w*v - 18. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3.75 + -0.25. Let n be 1 + (0\/1)\/2. What is the nearest to n in -1\/8, 5, u?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = 5*d**3 - d**2 - 2*d + 2. Let h be k(1). What is the biggest value in h, -0.4, -8, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 15 - 63. Let i be ((-4)\/(-2))\/(12\/g). List the prime factors of (-2)\/i + 789\/12.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -412, -1052, -1690, -2326?\n\"Answer: j**2 - 643*j + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 7\/3125070 and 71\/150.\nAnswer: 15625350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) be the second derivative of -c**3\/2 - 30*c. Let q(b) = -4*b**2 + 2*b**2 + 3*b**2. Calculate q(d(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 122*k - 3*f - 2*f = -9*f, f = -k - 4*f for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*o**5 - 1226*o - 4010*o**3 + 4010*o**3 - 2*o**4 wrt o.\nAnswer: -60*o**3 - 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -55 = 8*m - 255. Suppose 2*v = 4*y + 168, 3*v + 4*y - 84 = 2*v. Calculate the remainder when m is divided by 4\/v*6 - 178\/(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7 - 75 = 46*r - 29*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -c**2 - c. Let n(u) = 7*u**2 + 5*u. Let t(i) = -n(i) - 5*q(i). Let w(m) be the third derivative of -m**4\/12 + m**2. Give w(t(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 441*g**3*k*t**2 + 2*g**3*k + 2*g**2*k*t**2 + 396*g**2 wrt g.\nAnswer: 2646*k*t**2 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 1560*w**4 - 5127*w**3 + 351753769?\nAnswer: 6240*w**3 - 15381*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 49*c**3 - 161*c**3 + 1 + 6817534146*c - 6817534146*c.\nAnswer: -210*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*b**2\/9 + 22*b\/3.\nAnswer: 2*b*(b + 33)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2 (b) 0.1 (c) -25 (d) -3 (e) -14.173\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 80279356 or 80279353?\nAnswer: 80279353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = 4*v + 2*h - 37, 5*v + 5*h = 15. Suppose v = c - 4*i, -3 = -4*c + 3*i + 3. Solve c*z - 4 = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -15\/11 or 0.1?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 164337 is divided by 2134?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = 803 - 781. Suppose 0 = 5*d + 4*f - 112, -4*d + m + 61 = f. Calculate the lowest common multiple of d and 70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wwwqwwrwjwmwjrqjmwq. Give prob of sequence wmjw.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -325*g - 6188 = -1313 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1200.1 - -1115. Let o = -89 - g. Let a = o + 3.914. Round a to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 68*g + 8. What is a(3)?\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 21 - 26. Let h = 5.7 - -0.3. Let n = h + v. Which is the biggest value? (a) 0 (b) 3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*y - 30 = 4*y. What is the greatest common divisor of y and 260?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -297? (a) -0.97 (b) 2\/3 (c) 3 (d) 3\/2 (e) 0 (f) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**0*i)**(-46)\/(i**(-1\/6)*i*i**(2\/3)) assuming i is positive.\nAnswer: i**(-95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = o + 3. Let u be i(0). Suppose -2*g = -2*j - 5*g + 17, -u*j - 2*g + 33 = 0. Solve -4*n - 2*v + 26 = 0, 2*n + 4*v - 35 + j = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*f*t**2 + 5*f + 154*t**2 wrt f.\nAnswer: 2*t**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*x**2 + 4*x**2 + 0*x**2)*(-4*x + x + 0*x)*(263*x**2 - 304*x + 304*x).\nAnswer: -1578*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (88 + 95 + 175)*(0 + 1 + 0)*(-2*i**3 + 5*i**3 - i**3).\nAnswer: 716*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) be the first derivative of d**3\/3 - d**2 - 19*d + 6. Let o be y(-4). Solve -1 = -t + o*z + 8, 4*z = 4*t - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/3? (a) -0.5 (b) -4 (c) -0.02 (d) 2\/3 (e) 43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kimmfkkmmmiimmikmmf. Give prob of sequence kf.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**3 + 2*m**2 + 4*m + 1. Let p be g(3). Suppose -p*u - 8 = -6*u. Suppose -130 = -o - u*l + 5*l, 0 = 4*l. Round o to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 0.4, 1, -4, -11.97?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) be the second derivative of -1\/720*s**6 + 1\/2*s**3 + 1\/48*s**4 + 0*s**5 + 0 + 0*s**2 + s. Let y(w) be the second derivative of n(w). Factor y(j).\nAnswer: -(j - 1)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 49*r**3 - 23247*r**2 - 13296*r - 1900.\nAnswer: (r - 475)*(7*r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 291685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*((2*sqrt(117))**2*-1 + ((2*sqrt(117))**2 + -5 - sqrt(117))) + -3 + 5)*-4.\nAnswer: -12*sqrt(13) - 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 15 - 11. Suppose -5*q + l*q = -4. Suppose -q = 2*a - 2. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**30)**(3\/31) assuming h is positive.\nAnswer: h**(90\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -609519.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23554.\nAnswer: 2, 11777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -28*a**3 + 58*a**2 + 13*a - 42. Let b(q) = -11*q**3 + 23*q**2 + 6*q - 17. Let t(h) = 23*b(h) - 9*z(h). Determine t(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(sqrt(70)\/(-1*sqrt(10)) + 3) - (-3 + sqrt(343)*-1 - (5 + 1 + sqrt(343)))**2.\nAnswer: -1459 - 250*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 8 - 2 - (-12 - -17)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -5 - (-1 + -4 + 1 + -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1201200221 (base 3) to base 5\nAnswer: 2042140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {x: 13, w: 5}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 163211.\nAnswer: 163211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 259556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21995 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -q + 1. Let l be s(-1). What is the units digit of 3\/(12\/l)*30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 57.11 - 46. Let f = -11 + w. Let i = f + -0.01. Which is the closest to 0? (a) -2\/9 (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = w**3 - 3*w**2 - 4*w + 7. Let s(v) = 7*v**2 + 7*v + 11. Let b(y) = 13*y**2 + 13*y + 20. Let l(i) = 6*b(i) - 11*s(i). What is 3*l(h) + x(h)?\nAnswer: h**3 - h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 188*z**3 - 2*z**2 + z. Let h be j(1). Suppose -3*l + 242 = -h. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -59*i = 68*i - 36*i - 1183. Let v(o) be the first derivative of -6 - i*o - 19\/2*o**2. What is the first derivative of v(g) wrt g?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -r**3 - 41*r**2 - 75*r + 192. Give d(-39).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 60 + -55. Let d(m) = m + 1. Give d(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.04 + -28447.54.\nAnswer: -28447.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t - 5 = -5*u - 6*t, -5*u = 5*t - 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 9, d: 2}. Give prob of picking 3 x.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9 - -5) + 5 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) be the first derivative of 2*l**2 - 4\/3*l + 5\/3*l**3 - 5 + 1\/3*l**4. Factor v(g).\nAnswer: (g + 2)**2*(4*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5308 divided by -23611?\nAnswer: -5308\/23611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 16\/15 and 121\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = 90.45 - 92. Let j = k - -1.61. Which is the second biggest value? (a) 1 (b) 0 (c) 4 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tdfe when four letters picked without replacement from dtfdtwke.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2828*p**2 - 18612*p + 18612*p.\nAnswer: 2828*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 - 13 = 16*f. Let b(i) = 3*i**2 + 6*i + 6. Let r be b(f). Solve -3*x - r = -5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - l = -0*k - 5322, 4*l - 5331 = -3*k. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 1, -11, 96, 5, -1 in descending order.\nAnswer: 96, 5, 1, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 75\/(-90) + (-148)\/24.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17056311?\nAnswer: 3, 397, 14321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - (2 + (2 - 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 63 divide 7350487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2 - (-1 - 0))\/1 - -5. Let i = -18.072 + 0.072. Which is the second smallest value? (a) -5 (b) i (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a be (4 - (-10 + 12))\/((-2)\/(-4)). Solve 3*q = -9, -2*u + q - a*q + 1 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -739.744 + 760.7. Let d = -43 - -22. Let l = d + p. Round l to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -261*z + 16350501 = 16359114 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z be (6\/7)\/((-26)\/(-91)). Put 0, z, -5, -3 in increasing order.\nAnswer: -5, -3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -33 + 19. Let h = 13 + m. Put h, -4, 3 in decreasing order.\nAnswer: 3, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 231c + -1?\nAnswer: 231b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*j + 2*j**2 - 2*j)*(-2652*j - 4268*j + 2124*j) to i + q*j**3 + n*j**2 + d*j and give q.\nAnswer: -9592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1409 + 988*o**6 - o**2 + 680 + 1207*o**6 - 200*o**6 wrt o?\nAnswer: 239400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -8*o - 9. Calculate n(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6 - 1 - 1 + (-1 - 1 + 0)*(-67 + 1 - 17))*(-3*o**3 - o**3 - 3*o**3) to the form m + z*o + d*o**2 + u*o**3 and give u.\nAnswer: -1190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -29*b**3 - 14*b**3 + 62*b**3 - 3759*b**2 - b**4 - 20*b**3 - 4 + 5 as s*b + f*b**2 + u*b**4 + g + x*b**3 and give f.\nAnswer: -3759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i be -3 + (-2)\/(-1) + 5. Let j be 10*2\/(i + 0). Let q be -1 + 0 - 1*-2. Calculate the greatest common factor of j and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = 5*v - 1208. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1309*l - 1 + 7 - 1787*l.\nAnswer: -3096*l + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**6\/(c\/(c\/c**6)))**37\/((c\/c**(2\/7))\/((c**1\/c)\/c)*(((c*c\/((c**(1\/2)\/c)\/c))\/c)\/c)**(-35)) assuming c is positive.\nAnswer: c**(711\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q be -1 - -16*407 - 2. Suppose 13*w + 10*w - q = 0. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -h**2 - 11*h - 5. What is the units digit of s(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -5\/2, 9.3, 2, -2\/3 in increasing order.\nAnswer: -5\/2, -2\/3, 2, 4, 9.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 2*l**3 - 3*l**2 - l + 2. Let b be i(2). Are 3 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 531 (base 8) to base 10\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -94.93 + 90. Let x = -0.07 + p. Which is the smallest value? (a) -4 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 65019648?\nAnswer: 2, 3, 31, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 481893 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 0 times 20\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/2*h**3 - 4558*h - 91*h**2 - 36980.\nAnswer: -(h + 10)*(h + 86)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -41 - -41.2. Let m = w - 0.7. Which is the closest to -4? (a) 0 (b) m (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 1.07, 5\/9, 3, -9 in ascending order.\nAnswer: -9, 0, 5\/9, 1.07, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3 + 5. Let v = 4 + -4. Let b = v + -0.4. What is the biggest value in i, b, 2\/17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*d + 378 + 314. Let g = -232 - d. Calculate the highest common factor of 38 and g.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*y + 1 = 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 0.4 - -58828606046\nAnswer: 58828606046.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -7*i - 19. Let l(h) = 6*h + 16. Calculate -5*l(g) - 4*m(g).\nAnswer: -2*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 8*u**2. Let h(t) = -9246786*t. Give h(j(g)).\nAnswer: -73974288*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 14.3 times 0.05?\nAnswer: 0.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1 + -3. Let m be -9 + (-1)\/(1 + -2). Let u be m\/3 - 7\/21. Which is the closest to 1? (a) u (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = -5*k. Suppose 9 = 2*g - 4*y - 7, k = 4*y + 4. Solve 0*r - g = -3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*n**3 + 4*n**3 - 3*n**3 - 3*n**3 - 2*n**3 + 3*n**3 + (4 + 0 - 5)*(4*n + 2*n**3 - 4*n) + 2*n**3 + 3*n - 3*n)*(0*n + 2*n - 3*n).\nAnswer: 5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 8*z**2 + 4. Let n be a(-2). Suppose -7*u = -5*u - n. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*w + 396 = 116 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3523?\nAnswer: 13, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 353502293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -239469384*l**2 + 1529*l + 56896.\nAnswer: -478938768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -o**3 - 2*o**2 + o - 2. Let i be x(-3). Suppose i*a - 72 = a. Suppose 9*w - a = 6*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 597757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 165210?\nAnswer: 2, 3, 5, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = 12 + -3. Let v be (r\/(-54))\/(2\/6). Suppose -2*g + 12 = g. Sort v, 0.3, 2\/27, g in increasing order.\nAnswer: v, 2\/27, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 185517173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.01 in 0.8, -3, -39?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 639918127?\nAnswer: 639918127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.2, 0.1, 30\/79, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1*5 + 10\/(-5). Let t be w + (0 - -2)\/2. What is the greatest common factor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*b - 8*b - 16*b + 20*b**2 + 2*b**2 + 11*b.\nAnswer: 22*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 73*f + 47*f + 180*f - 69*f + 10 wrt f.\nAnswer: 231","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19728069?\nAnswer: 3, 6576023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: a5aa (base 15) to base 3\nAnswer: 1210001121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(432) + (1*(sqrt(432) + 1))**2 + (sqrt(18)\/(-3*sqrt(3)))\/sqrt(2).\nAnswer: 107*sqrt(3)\/3 + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -0.1, 2857, -696 in descending order.\nAnswer: 2857, -0.1, -696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 27465?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 48706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 614*q + 644*q = 1234*q - 672 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 33\/385*(-190)\/114?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-5)\/(-3))\/(4\/12))\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rooocorryfoyoqfrryf. Give prob of picking 1 r and 1 q.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is p in -100*p**4 - 120*p**3 - 91*p + 39 + 16 - 181*p - 7 + 444*p**2 = 0?\nAnswer: -3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -59638, -59642, -59652, -59668?\nAnswer: -59690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 37\/281 - 69959\/524908. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 1, v: 1, x: 2, g: 1, a: 1, c: 1}. What is prob of sequence vgc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 64 and 925696?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -1\/5, -0.5, 1\/16?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 270 divide 111075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -52*s**3 - 2*s**2 + 20*s - 4. Let o(z) = -z**3 + 7*z - 1. Give -b(h) + 3*o(h).\nAnswer: 49*h**3 + 2*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -21 + 6*q + 13 + 0*q**2 + q**2. Determine u(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 938 + 1053 + 2077 = 2034*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*n = -4*n - 2907. What is the remainder when 1\/(-4 - n\/(-242)) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 244 minutes after 10:52 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -4*w - 1. Let x = 149892.5 - 149892. Which is the second smallest value? (a) w (b) x (c) -3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*u - g - 25, -5*u + g = 2*g - 15. Suppose -2*x = 3*s - 221, u*x - 440 = -2*s - 2*s. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 2 - 5)*(11*d**2 - 4*d**4 - 19*d**2 + 9*d**2 - 3*d).\nAnswer: 8*d**4 - 2*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5024129 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -43*v + 90*v + 376 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 582*k - 481*k - 353*k.\nAnswer: -252*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (-32)\/10 + (2 - 18\/10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 9.403 - 9.003. Sort l, -5, 157 in ascending order.\nAnswer: -5, l, 157","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -121\/424? (a) -1\/3 (b) 3\/7 (c) 0.5 (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000480889853 to 7 dps.\nAnswer: 0.0004809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -87944, -177510, -267076, -356642, -446208, -535774?\n\"Answer: -89566*v + 1622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = g + 5*t - 5, 6*g - 2*t - 20 = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 78373?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 156044 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that 3*k**2\/8 + 57*k\/8 + 27\/4 = 0.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 2, k: 3, f: 2, s: 4}. What is prob of sequence kk?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = 17132.44323 + -17132. Round l to 2 decimal places.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 0 - 4534?\nAnswer: -4534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 90\/36*(-9)\/(-135)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*i + 17 = -8, 0 = -b + 4*i + 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w be 26 + 0 + 1 - 0. Suppose -4*p - 9 - 19 = 0. Let i = p + w. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of ((-20)\/8)\/5*-35798 + -5 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((2\/(-2))\/(1\/10))\/(-2). Let j(g) = 8*g**2 - 14*g + 12. What is the remainder when j(p) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -812b7 (base 13) to base 16\nAnswer: -38705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) 0.1 (b) -1 (c) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -7 and 112527550?\nAnswer: 112527557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 54*q - 10*q + 27*q + 8*q to y*q + v and give y.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 6 = -v + 6*m, v = 5*m + 5. Let n be v\/3*(-36)\/(-10). Let a be (n\/15)\/(-2) + 1\/5. What is the biggest value in -1\/11, a, 1\/5, -0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -80222, -160686, -241150, -321614?\n\"Answer: -80464*y + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -2*q**3 - 15*q**2 + 2*q + 11. Let w be p(-8). Let m = 40 - w. Let f = 3 - m. What is the highest common divisor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 535 is divided by 266.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -44*n - 2. Let b(g) = -4*g + 2. Let q(d) = 15*d - 8. Let i(f) = -4*b(f) - q(f). Calculate i(m(p)).\nAnswer: -44*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 232*g**3 - 210*g**2 - 928*g + 840 = 0. What is g?\nAnswer: -2, 105\/116, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3053.\nAnswer: 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*d**5 - 204594*d**4 + 409176*d**3.\nAnswer: 3*d**3*(d - 68196)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -1.4, 4, 2\/3, -2 in descending order.\nAnswer: 4, 2\/3, -1.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -3, -7429, -1 in decreasing order.\nAnswer: -1, -2, -3, -7429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 65 - 49 = 0. Suppose -3*w - 70 = -k*w. List the prime factors of w.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8\/140485 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 15717068?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -7*l - 11. Let w(t) = 3*t**2 - 2*t - 3. Let g be w(-1). Let q be (2\/1)\/(g\/(-6)). Let m(o) = -2*o - 3. Calculate q*b(s) + 22*m(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1891 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0*((-44)\/48 + -10 + (-369)\/(-36))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((5*s - 2*s - 2*s)*(5 - 29 - 1) + 17 - 17 - 8*s)*(3*s - s - 3*s) to the form d + z*s**2 + j*s and give z.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6.3 - 22.3. Let d = 16.1 + z. Which is the nearest to d? (a) 3 (b) 7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 83.013 - 83. Let f = -3.987 - s. Put 1\/5, f, -2 in ascending order.\nAnswer: f, -2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -434540 to the nearest 10000.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 156, 1, 4, -4, -3, 0, 112 in decreasing order.\nAnswer: 156, 112, 4, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x = -z + 203, 0 = z + 5*x - 50 - 144. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1 - -3)*155\/10. Suppose 3*b = 5*f - s, -4*b = -b + 2*f + 38. Is (2 - 1)\/((-4)\/b) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -69*c - 69*c + c**3 + 126*c + c**2 + 3 to the form m + r*c + f*c**3 + s*c**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/25, 2\/15, 42156 in decreasing order.\nAnswer: 42156, 2\/15, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 40409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -6d2a1 + 1066?\nAnswer: -6c239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -4*q + 11. Calculate the highest common divisor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -1916563, -1916565, -1916567, -1916569?\n\"Answer: -2*h - 1916561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h - 5*t = -2, -2*t + 12855 - 12857 = h - 4*t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 1214762398*a - 1214762399*a + 0.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -o**2. Let a(q) be the second derivative of 0*q**2 + 0 - 1\/6*q**3 - q. Determine i(a(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -34, -58, -80, -100, -118, -134, -148?\n\"Answer: i**2 - 27*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 2 r when three letters picked without replacement from {n: 4, r: 2, v: 1, m: 6, s: 3, y: 3}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = -146 - -399. Let c = 252.9 - i. Let b = -3.5 - -3. What is the biggest value in c, b, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3\/304, -0.02, -2\/475?\nAnswer: -2\/475","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 226*p**2 - 58*p**2 - 1.\nAnswer: -284*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(-5 + sqrt(98) + (sqrt(98) - sqrt(98)*-2) + (sqrt(98)*1 + sqrt(98) + sqrt(98))*-3 - (1*sqrt(98) + 4 + -5)))**2 + 4.\nAnswer: 336*sqrt(2) + 3548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.06? (a) -3 (b) 1 (c) -10 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Total of -5650 and -0.02068.\nAnswer: -5650.02068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 8 = -5*f + 2, -c = -5*f - 8. Let v be 8*(1 - 2\/8). Let q be (v\/8)\/(5\/(-4)). Is f at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:42 PM and 10:35 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 134397 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 + 7 + (-1 - -10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3 - 2. Let p = -79.1568 + 81.4568. Which is the second biggest value? (a) -0.6 (b) z (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 4776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-3 + (10\/2)\/1)\/2. Let s be (n*-9)\/(21\/(-28)). Solve c = 3*c - a + 8, -5*a = 4*c - s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 27070569 from 0.1.\nAnswer: -27070568.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0119099101 to 6 decimal places.\nAnswer: 0.01191","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Is 243251783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h + 375 = 5*d + 400, 5*d + h + 1 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1628*i - 3409 + 1142 + 1128 + 1121.\nAnswer: -1628*i - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 4 = -4*m, -3*m - 4*k + 16 = -2*m. Suppose 516 = 3*v - m*v + 3*g, 0 = 5*v + 2*g - 848. What is the highest common divisor of 24 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 91\/(-13)*(-5 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 402778 (b) -5 (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3 - -4. Let r be (8\/6 - j)*33. Let c(u) = u**2 - u + 31. Let q be c(-9). Calculate the greatest common factor of q and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6792*x + 15445*x - 3113180 = 0 for x.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -10 - -15. Suppose 0 = -p*c + 25, c = -4*t - 3*c + 64. Suppose -x + 0*d + t = -5*d, -9 = -2*x - 3*d. Calculate the remainder when x is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 12339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 32 and 52?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n = -9*s - 44*s + 55*s + 4, 0 = 2*s + 2*n + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (l + 0*l + 2*l)*((5*l + l - 4*l)*(2 - 1 - 3) + 5*l + 7*l + 2*l) to the form r*l + m*l**2 + q and give m.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 142869, 285758, 428671, 571620, 714617?\nAnswer: 857674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 40 = 15*v. Which is smaller: v or 30\/31?\nAnswer: 30\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -3592.3204 to the nearest 10.\nAnswer: -3590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -w**3 - 4*w**2 + 2*w - 4. Let d(h) = -4*h**3 - 13*h**2 + 5*h - 13. Let n(c) = 2*d(c) - 7*v(c). What is n(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -351551, -1406229, -3164021, -5624921, -8788923, -12656021, -17226209?\n\"Answer: p**3 - 351563*p**2 + 4*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1736 divided by -434.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 563711.\nAnswer: 19, 29669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2445 + 3596. What are the prime factors of a?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:55 PM and 1:47 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2535, 5068, 7601, 10134, 12667, 15200?\nAnswer: 17733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 13484 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-16 - (24 - 0)) + -9 + 3?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 789.8079 milligrams in nanograms?\nAnswer: 789807900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = m**2 + 4*m - 11. Let q be v(-8). Calculate the greatest common factor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1585 is divided by 98?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y**(-1))**32*y**(-1\/4)*y**4)\/((y**(-3))**39)**(12\/5) assuming y is positive.\nAnswer: y**(5691\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = -11 - -13. Let r be 2*(9\/2 - g). Suppose -r*u = -6*u + 5. Sort -5, u, 1.\nAnswer: -5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -20*x**2 - x - 1. Let s be f(-1). Let c(h) = 2*h**2 + 37*h + 24. Is c(s) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1711 is divided by 544?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-287)\/861)\/((4\/(-9))\/(-2)). What is the smallest value in o, -1\/8, -0.9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*sqrt(80))\/sqrt(10) + 6*-1*sqrt(8))\/((sqrt(80)\/(sqrt(25)\/sqrt(5)))\/sqrt(4)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 130952, 260676, 390400, 520124, 649848, 779572?\nAnswer: 909296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = x**3 + 2*x**2 - 3*x + 4. Let l be a(-3). What is the third derivative of 4*q**4 + 0*q**4 - 6*q**4 + l*q**2 + q**4 wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u - 19 = 1. Let p(t) = t**3 + 6*t**2 + 5*t - 5. Determine p(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10001 + 1001001011?\nAnswer: 1001011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -13320331 (base 5) in base 6?\nAnswer: -2524152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -76*p + 81*p = -10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -j**3 + j**2 + 5*j - 3. Let r(d) = -d**2 + d + 3. Let q be r(4). Let h be 12\/8 + 2\/(-4). Let k be (h + 0)\/((-3)\/q). Calculate y(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-11 - (-6 - -3)) + 8 + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 195 minutes before 9:06 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-340)\/(-25) - 2\/(-5). Let l be (v\/28)\/((-1)\/(-60)). Suppose l = 6*f - 132. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1920*m + m**3 + 1920*m - 2*m**3 - 18 wrt m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iqrttqqqtr. Give prob of sequence ttr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 times -3.509917?\nAnswer: -0.7019834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 234, 2 in ascending order.\nAnswer: 1, 2, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 441324421 - -1?\nAnswer: 441324422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:47 AM and 12:39 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-72)\/(-4)*1 - -3. Let d = o - -20. Suppose w - i = d, i + 161 = 5*w - w. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 23455716 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = 11 + -9. Suppose -k + 81 = l*k. Calculate the remainder when 51 is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) be the second derivative of -q**9\/5040 + q**8\/6720 + q**7\/315 + q**6\/180 + 11*q**4\/12 - 17*q. Let d(n) be the third derivative of y(n). Factor d(w).\nAnswer: -w*(w - 2)*(w + 1)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -34 + 59. Suppose 2*r + a = 7*r. What is the second derivative of -3*u + u + u - u**r wrt u?\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2110 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*d + d - 4*d + 2*d + 3*d - 7*d + (-4*d + 2*d + 3*d)*(2 - 1 - 2))*(8 + 12 - 9).\nAnswer: -44*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((2*sqrt(1216) + sqrt(1216))*4 - sqrt(1216) - sqrt(1216) - (sqrt(1216) + sqrt(1216) + -2*sqrt(1216) + -3))**2.\nAnswer: 480*sqrt(19) + 121604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 702 minutes before 6:35 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = 64 + -24. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (12\/(-5))\/(350\/(-875))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 33107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*b + 2*b + 12. Suppose -b*k = -7*k + 28. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 358 or 359?\nAnswer: 359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = -28.403 + 24.403. Let i = -0.6 - 0.4. Let m = 3 + i. Which is the smallest value? (a) 2\/9 (b) m (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:23 AM and 5:20 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*p + 2490 - 2490 = 0. Let n(w) be the second derivative of 8*w - 6*w**2 - 1\/4*w**4 - 5\/2*w**3 + p. Factor n(f).\nAnswer: -3*(f + 1)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15502253941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (415 - 2451 + 683 - 1133 - 2908)*(2*d**3 + d**3 - 2*d**3) in the form y + z*d**2 + c*d + s*d**3 and give s.\nAnswer: -5394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 3*i**2 - 9*i + 5. Let o(r) = 13*r**2 - 36*r + 21. Let l(b) = 2*o(b) - 9*v(b). What is the units digit of l(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3 + 736?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 543 minutes after 8:25 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49*t + 48*t + 10 = 0. Solve t*j = 2*j - 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) be the first derivative of -1\/4*f**4 - 3*f + 2*f**3 + 14 + 0*f**2. Let h be n(6). Let b(j) = j**2 + 3*j - 1. Calculate b(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2*(-5)\/(10\/(-4)). Let x(c) be the third derivative of 0 - c**2 + 0*c + 0*c**3 + 1\/12*c**j - 1\/30*c**5. What is the second derivative of x(k) wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8*1827056.\nAnswer: -14616448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is ((-13)\/(-169))\/(178\/178)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.3, -2, -76, 649?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1754, -3535, -5314, -7091, -8866, -10639?\nAnswer: -12410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 78*o + 6069. Calculate r(-83).\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -1.0738506 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from kyyeauueusyu.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 32\/175 and 87\/48440?\nAnswer: 242200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -208*g = -426*g + 213*g - 75 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 5 - 1)*(1 - 1 - 1)*(19*l**3 - 182*l + 182*l).\nAnswer: 19*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 161 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = j - 5. Let d be m(7). Suppose -9 = -h - d*h. Factor -b**h - b**4 + 0*b**4 + 3*b**4 - b**4.\nAnswer: b**3*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, o: 1, n: 2, p: 2}. What is prob of picking 1 n and 1 p?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2480777636?\nAnswer: 2, 19, 32641811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eeeeeeeeveveveeevvv. Give prob of picking 3 e.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - y + 8383 = 0, 0 = -2*i - 2*y - 2025 - 2159. Let m = -155041\/6 + 1851979\/78. Let k = m - i. Are k and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.5*0.9.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 2, w: 2}. Give prob of sequence ww.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-2 + -20)*(-4 - -3) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 82458 plus -0.1228?\nAnswer: 82457.8772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 131.77 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 261 - 8*z + 263 - 524.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 586.9251 micrograms?\nAnswer: 0.0000005869251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -78 (base 13) to base 8.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.1 (b) 2 (c) -1 (d) 14 (e) 4.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c\/c**(3\/7)))\/c**(-2\/15) assuming c is positive.\nAnswer: c**(59\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 8796684 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 5 (b) -3\/4 (c) 1576 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 838598400 rounded to the nearest one million?\nAnswer: 839000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = 66 - 46. What is the remainder when w is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) be the second derivative of -j**5\/20 - j**4\/2 + 5*j**3\/2 - 3*j**2 - 21*j. Let x be h(-8). Let d(o) = 2 - o - x + 4 - 1. What is d(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = -272 + 179. Let h = b + 167. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55*d + 252 = 58*d. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3436 - -347034\/101. What is the closest to 3\/7 in -3, -2\/11, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -13\/6 and 5\/87254307?\nAnswer: 174508614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 1. Let c(u) = -12*u**2 + 2. Let l(j) = c(j) - 2*d(j). Let w(a) be the first derivative of 3*a**2\/2 - 715. Determine w(l(f)).\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 1.507851 minus 0.021?\nAnswer: 1.486851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 586 = 571. What is the hundreds digit of 0 - -37*(t - -23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -t + 1. Suppose 4*l - 2 = -0*c + 2*c, 2*c + 5*l = 7. Let z be x(c). Let o(q) = -q - q + z*q. Let f(j) = 2*j. Calculate f(o(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 112 a factor of 40096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -11 - ((12 - 4) + -5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*p - u - 2*u, -4*u + 20 = -p. Let t = p - -6. Let a(r) = 4 - r - 7*r**3 - t*r**2 - 4. Determine a(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3223322210 - -23?\nAnswer: -3223322132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 0.5 * -2.246\nAnswer: -1.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 1 + 3 + 0. Let q(c) = c + 1. Let f(k) = m(k) - 4*q(k). Let g(t) be the third derivative of t**4\/12 - 24*t**2 + t. Give g(f(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = -14386 + 14399. Which is the nearest to -4\/11? (a) 0.3 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in -1\/2, 25, 4, 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 8 + 2. Suppose 4*b - i = -b. Suppose 0 = -b*j + 362 + 8. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -550*s = -454*s + 96. Let x be -2 - 2\/(2\/(-7)). Sort x, -3, 1, s.\nAnswer: -3, s, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 149\/669 + -1\/2007. Which is the nearest to 5? (a) v (b) 0.18 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -32*y**2 - 3*y - 28. Let d be -1 - -4 - (-1 + -1). Let v(f) = -63*f**2 - 5*f - 56. Let h(w) = d*z(w) - 3*v(w). Differentiate h(p) with respect to p.\nAnswer: 58*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2.07751 rounded to three decimal places?\nAnswer: -2.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = y**3 - 3*y**2 - 1. Let c(u) = 4*u**2 + 2*u + 1. Suppose 7*i - 2*i = -30. Let h be 2\/(-3)*i\/(-4). Let d be c(h). Determine t(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 22, 86, 190, 334, 518?\n\"Answer: 20*t**2 + 4*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -387*v = -6120232 + 6101269 for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = z**2 + 5*z - 18. Let f be ((-64)\/80)\/(1\/(-15)). Let r be o(f). Suppose -2*g = -h - r, 0 = 4*g - h + 4*h - 392. List the prime factors of g.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-2)\/2)\/(((-3)\/3)\/1458)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 3, 16, 18, -6474 in decreasing order.\nAnswer: 18, 16, 4, 3, -6474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + 0.07987223.\nAnswer: 1.07987223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -489*w**3 - 9*w**2 - 6*w + 3. Calculate p(-1).\nAnswer: 489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 2, d: 1, a: 1}. What is prob of sequence avd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = -635 + 665. Sort 1\/3, c, 1.\nAnswer: 1\/3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 678 minutes before 7:21 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 2.4, -2\/23, 0.5, -4\/9?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 337768.1ug in kilograms?\nAnswer: 0.0003377681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -4642, 0.1, -75, -2\/3 in descending order.\nAnswer: 0.1, -2\/3, -75, -4642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -10.3, -0.1, -20, 0.1, 2.\nAnswer: -20, -10.3, -0.1, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 2641.502kg to grams.\nAnswer: 2641502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.267*13.9.\nAnswer: 3.7113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor k**4 + 36*k**3 + 102*k**2 + 100*k + 33.\nAnswer: (k + 1)**3*(k + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -21*f**5*h - 975*f**5 + 846*f**2*h + 5*f + 1 wrt f.\nAnswer: -1260*f**2*h - 58500*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -3, -1, 46, -4.\nAnswer: -4, -3, -2, -1, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 260 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.03 in 3\/7, -2\/3, -12, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -60.6 + 61. Sort d, -5\/3, 7 in decreasing order.\nAnswer: 7, d, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-209)\/(-228) - (-6)\/(-27)*3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -46 + 47. Suppose v + 7 = r, -2*r - 3*v = -q + 12. Let n(b) = -3*b**r + 4*b**2 + b - b. Let o(g) = 9*g**2. What is o(n(y))?\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 543 = 3*q - 21. Let y = q + -164. Let d = 3 + 13. What is the highest common factor of y and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 55404 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/8*((-12)\/5)\/((-3)\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s - 154784 = -16*s. List the prime factors of s.\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -s**4 + 2*s - 2*s + (3 - 2*s - 3)*(s**3 + 0*s**2 + 0*s**2) + (-2*s + s + 2*s)*(-6*s**3 + 30*s - 30*s).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 7548567324?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 3 + 3)*(x + 0*x + x) + 7*x - 6*x + 2*x + 2*x - 3*x - 2*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 5299, 5300, 5301, 5302, 5303?\n\"Answer: y + 5298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12 divided by 984.\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-20)\/8*(-2704)\/260)\/(-1).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) be the second derivative of q**4\/2 + 3*q**3\/2 - 4*q**2 - 9417*q. Let a = 5 + -12. Is k(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 5\/4 (b) 44 (c) 0 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let 2*c**4\/3 - 532*c**3 - 97766*c**2\/3 - 435360*c - 1027200 = 0. Calculate c.\nAnswer: -40, -15, -3, 856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = 70 + -65. Let w(x) = 3902 + i*x - 3902. Let v(b) = -5*b. What is w(v(l))?\nAnswer: -25*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 38\/(-8)*-6*((-6)\/(-8))\/((-6)\/(-16))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/3)\/((-13)\/(-26)*-2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*w + t + 699, 2*w + 192 + 274 = -4*t. Let y = -234 - w. What is the closest to y in -2\/265, 2\/5, -2?\nAnswer: -2\/265","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3016958 is divided by 87.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:04 PM and 2:59 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) be the first derivative of -j**4\/4 - 13*j**3\/3 - 2*j**2 - 19*j + 25. Let x be 93\/(-7) + 4\/14. What are the prime factors of h(x)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -3 (b) -2\/7 (c) 0.4 (d) 19 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.005126407 to six decimal places.\nAnswer: -0.005126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/5*(4\/3)\/4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 17*v**2. Let x(m) = 9*m - 2. Let q(l) = -8*l + 2. Let b(j) = 7*q(j) + 6*x(j). Give d(b(z)).\nAnswer: 68*z**2 - 136*z + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from ctfrx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -10702 times -172\nAnswer: 1840744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -106*v - 2534. What is g(-24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -2.0543897 and 515?\nAnswer: 517.0543897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = -973\/9729 + -12\/1081. Let d = 6 + -5.7. Which is the closest to d? (a) g (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (24\/14)\/(362\/3801)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -210427.167 rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -107878484 or -107878483?\nAnswer: -107878484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 3*w - 4 = -373, 3*s + w = 227. Suppose -3*j + 432 + s = 0. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 61*i**2*q**4 - 1289316*i**2 + 94*q**4 - q wrt q.\nAnswer: 244*i**2*q**3 + 376*q**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8\/(-6))\/(260\/(-6)*94\/470).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 11249 = -224*o + 721 for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(180)\/sqrt(4))\/sqrt(5))\/(-4*sqrt(9)\/sqrt(3)).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x\/(x\/(x*x*x**(-2\/7)\/x*x)))\/x)\/(x**(8\/11)*x) assuming x is positive.\nAnswer: x**(-78\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9810 = -5*a - 5*n + 9*n, -5*a - 3*n + 9810 = 0. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 5 and -46.79.\nAnswer: -233.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 12*o**3 - 5*o**2 + 9*o - 10. Calculate the remainder when m(3) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-1\/2))**(14\/5)\/((f*(f*f**(2\/9))\/f*f)\/((f*(f\/(f**5\/f))\/f)\/f))*(f**(-1))**(-13\/5)*(f*f**(-4))\/(f*f\/(((f\/(f**(1\/6)\/f))\/f)\/f)) assuming f is positive.\nAnswer: f**(-917\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*((sqrt(171)*3 - sqrt(171)) + sqrt(171)))\/(-4*sqrt(27)\/sqrt(3)))**2.\nAnswer: 171\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 21*w**3 + 1884*w**2 - 14799*w + 4074.\nAnswer: 3*(w - 7)*(w + 97)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -g**2 - 4. Suppose -k + 1 = 4*t + t, -k = -4*t - 1. Let y(w) = 1. Let j(s) = s**2 - 6*s + 4. Let q be j(6). Give k*n(m) + q*y(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {i: 12, m: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from {t: 1, o: 1, w: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 96156 or 96151?\nAnswer: 96156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y - y + 5 = 0. Suppose -y = -4*l - l. Let b be -2 + -1 + (-17)\/(-6). Which is smaller: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 18\/(-4) + 3\/6. Let z = -143 - -138. Sort j, z, 0 in descending order.\nAnswer: 0, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*h + 3*h - 5*h)*(11*h**3 + h**3 - h**3 + h**2).\nAnswer: -110*h**4 - 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 118 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -844, -3049, -6724, -11869, -18484, -26569?\nAnswer: -36124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 630912.808 rounded to the nearest ten?\nAnswer: 630910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2 - 123cc?\nAnswer: -123ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 3, g: 1, x: 5, t: 3, h: 1}. What is prob of picking 1 h and 1 t?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at most 1\/948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -254 = -5*l - 79. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) be the first derivative of -1\/8*j**4 + 1\/3*j**3 - j - 1 + 1\/4*j**2. Factor r(n).\nAnswer: -(n - 2)*(n - 1)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3699*y - 2107*y + 625*y to f + k*y and give k.\nAnswer: -5181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 8 = 0, 5*o - r - 3*r - 34 = 0. Suppose -15*q + o*q = -20. Suppose 0 = -s + 4 + 1. Solve -s*p = -4*p + q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 4016 (base 13) to base 6\nAnswer: 104435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 35\/11 (b) 2\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*s = 2*s - 2*m + 62, -4*s + m + 47 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 6*i**3 - 11*i**3 - 15*i**3 - 242*i + 131*i + 2*i**3 in the form d*i + l*i**2 + b + c*i**3 and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 4 + 7 - 10*w + 3*w**2 + w**3 - 9. Let y = 21 + -26. Let g be u(y). Which is the closest to g? (a) -1\/2 (b) 0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 1 - 4)*(-1 - 3 + 3)*((4*i**4 - 22*i + 22*i)*(4 - 1 - 1) + (25*i**2 + 4*i**2 - 4*i**2)*(-i**2 + 0*i + 0*i)).\nAnswer: -17*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.3, 2\/5, -5\/6, -2\/19?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, 51, -1, -5, -4 in decreasing order.\nAnswer: 51, -1, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 57 - (-85 + (28 - -12)).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z - 40 = -26198*x + 26200*x, 3*z + 2*z - 2*z + 2*x = -26 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Add together 17 and -6.38.\nAnswer: 10.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 53, 46, 35, 20, 1, -22?\n\"Answer: -2*r**2 - r + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 2*s**2 - 9*s - 17. Let h(t) be the third derivative of -t**4\/24 - 1898*t**2. Determine h(k(d)).\nAnswer: -2*d**2 + 9*d + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Multiply 36 and -367255.\nAnswer: -13221180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = m**2 - 14*m - 22. Let i be a(16). Let g(v) = -v**2 + 16*v - 11. Is g(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) be the third derivative of -v**6\/120 + 7*v**5\/60 + v**4\/12 - v**3 - 38*v**2. Suppose 0 = -2*n - d + 13, 2*n - 2*d = 2 + 2. Is o(n) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y = 2*y + 10. Solve -2*s + 3*f = 6, f - 6*f + y = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10.5332 - 0.071?\nAnswer: -10.6042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z be (4 - -1)\/((-4)\/4). Let k be 598\/6 - z\/15. Suppose 2*g - 50 = -5*b, g - k = -3*g + 2*b. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-6)\/16 - 575\/(-40). Calculate the greatest common divisor of r and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (14 - -2)*-1 - (44 + -30 + 8)\/22?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 1 = -10. Let l = r + 5. Suppose 11 = l*p - 19. Calculate the remainder when 44 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 28 + 188 = 0. Let k = o - 23. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2\/15, 2, 1\/2, 1\/802?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -664315 divided by 664315\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*s = 2*t - 28, 0 = -4*t - 0*t + 3*s + 31 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 4, 37, -1\/38, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*m**3 - 28*m**2 + 120*m - 144.\nAnswer: 2*(m - 6)**2*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -1814*y + 201. Is i(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10060 is divided by 594.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 431920780 to the nearest 1000000.\nAnswer: 432000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*k**3*n + 4*k**3*x + 23*k**2*x + 2039412*k*n**2*x - 12804*k*x - 41*n*x + 21*x + 1 wrt n.\nAnswer: 2*k**3 + 4078824*k*n*x - 41*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -712124*m**2*o**5 + m**2*o + 6*m*o**2 + 19*o**4*z - 2388922*o*z wrt o.\nAnswer: -42727440*m**2*o**2 + 456*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r = 3*v - 7011, 3*r - 9340 = -4*v + 5*r. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 14, b: 2, w: 1, r: 1, p: 1}. Give prob of sequence pb.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-12)\/14 - 20646\/(-518). Solve -14*d = -d - q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 3460514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0236494 rounded to 3 decimal places?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + -3*(sqrt(22)\/sqrt(2) + sqrt(11) + sqrt(11))**2)*5.\nAnswer: -1485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2601 + -3?\nAnswer: 2576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/3, -4\/7, 0.06 in increasing order.\nAnswer: -2\/3, -4\/7, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -7379676*w**4 + 12303921*w wrt w?\nAnswer: -88556112*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 9 + -7. Let n(t) be the first derivative of 4*t**k - t**2 + 2 - 1. Let o(m) = -m**2. Determine o(n(a)).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 16653 * -1.3\nAnswer: -21648.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in -8276, -16547, -24840, -33167, -41540, -49971, -58472, -67055?\nAnswer: -75732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 629, 620, 615, 614?\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (-11*-3*14\/462)\/((-4)\/188)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1 and 51719.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -110*v - 458*v + 76*v + 814*v + v**2 + 1617*v + 689*v.\nAnswer: v**2 + 2628*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 711 is divided by 43.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -5*h**2 - 20*h - 20. Let f(i) = i**2 + 5*i + 5. Let p(m) = -9*f(m) - 2*z(m). Suppose -4*c - 3*w = -2*w - 27, -2*c - 4*w = -24. What is p(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27 = 5*y - 7. Let t be y + 6\/9*-3. Do t and -7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -o - 1. Let v(x) = 3*x - 13. Let z(s) = -s + 6. Let b(r) = -2*v(r) - 5*z(r). Let g be b(-6). Calculate k(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -14, -4, 6, 4, -341, 74.\nAnswer: -341, -14, -4, 4, 6, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4068780548.\nAnswer: 2, 7, 149, 975259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) be the third derivative of -7*f**6\/40 - 11*f**4\/12 - 979*f**3\/6 - 667*f**2. Differentiate l(y) with respect to y.\nAnswer: -63*y**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*b - 8*b - 60 = 0. Solve j = 5*j - b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = o**3 - o**2 - 9*o + 12. Suppose -4*b - 20*h + 12 = -15*h, 0 = -b + 4*h + 3. What is y(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/35 (b) 4 (c) 5\/3 (d) -1\/10 (e) 43906\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-1)\/6)\/((-8)\/(-32)). Let d = -34 - -38. Which is the nearest to 2? (a) 3 (b) d (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -3*v**2 - 1650*v + 42546. Determine j(25).\nAnswer: -579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 92\/1610631 and -113\/63162.\nAnswer: 3221262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 39397179 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -6 or -3\/3418300?\nAnswer: -3\/3418300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -22988, -45989, -68994, -92003, -115016?\nAnswer: -138033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rrrrrrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(-1))**(5\/11)*((m*m**6*m)\/m*m)\/((m\/(m\/(m**(-4\/7)*m)))\/m))**(-49) assuming m is positive.\nAnswer: m**(-4375\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 10 + 2*g + 5 + 5. Let x be p(-6). Suppose -5*y + x*y + 12 = 0. Put 3, 1, y in increasing order.\nAnswer: y, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -72*v**2*z**2 - 6*v*z**2 + 721*z**2 + 2*z - 2 with respect to v.\nAnswer: -144*v*z**2 - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -13*o**3 + 11*o + 11. Let a(w) = 148*w - 1. Let p be a(-2). Let y be p\/45 + (-6)\/(-10). Let n(v) = -7*v**3 + 6*v + 6. Determine y*u(s) + 11*n(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = p + 2, -q + p + 37 = -4*p. What is the remainder when q is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = w**3 + 64*w**2 + 53*w - 1399. Let n be v(-63). Which is smaller: n or -761?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1164 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = u + 1. What is p(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 17376 or 18285?\nAnswer: 17376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose b**5\/3 - 10*b**4\/3 + 8*b**3 - 22*b**2\/3 + 7*b\/3 = 0. What is b?\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = 870.7880188619 - 0.7879619619. Let v = o + -870. What is v rounded to 6 dps?\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -3*h**2 + h + 7. Let o(z) = -4*z**2 + z + 8. Let b = 144 - 144. Suppose -3*f = 4*c + 27, -3*c + 4*f - 13 - 1 = b. Calculate c*o(w) + 7*g(w).\nAnswer: 3*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mmvmppvvvmmmmmvvpvm. Give prob of picking 2 v.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = -3*y - 15, 4*b - y + 9 = 0. Sort b, 5, 3, -2 in increasing order.\nAnswer: b, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3572 and 717690?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -142 (b) -3 (c) -151\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 9, a: 2, y: 5, i: 2}. Give prob of sequence diiy.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*i - 2*i = 70. Let k(g) = -i*g + 524 - 524. Let x(u) = -2*u**2. Determine k(x(j)).\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose t**4 + 496*t**3 + 4202*t**2 - 87976*t + 83277 = 0. What is t?\nAnswer: -487, -19, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = 22074 + -22070. Suppose 3*r = 4*c + 64, 0 = r + 3*c - 0*c - 30. Solve v*p - 10*p + r = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24493?\nAnswer: 7, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j be (4\/(-12))\/(3\/117). Let n = 13 + j. Solve d + 0 - 3 = n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 508015 is divided by 2761.\nAnswer: 2752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 9\/2, 1\/758, 3\/10 in descending order.\nAnswer: 9\/2, 3\/10, 1\/758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -1128056.6079 rounded to the nearest 1000?\nAnswer: -1128000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1634419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 97 = -4*o, -s + 4*s - 4*o = -227. Let v = 83 + s. Suppose 4*i - 343 = -5*w, -v*i + i = -5*w + 333. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 2*c + 24 = 5*z, 2*z - 2*c = 0. Suppose 5*l - 2*l + z = -v, 8 = 2*v - 2*l. What is the second derivative of y**v + y**4 + 0*y + 3*y - y**2 wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -113.73 - -111. Let k = 2.4 + m. Round k to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6059 and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 5 (b) 9 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.020595 rounded to 5 dps?\nAnswer: -0.0206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -6\/13? (a) 4 (b) 3\/4 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = -2*i - 6 + 1, 10 = -2*p + 4*i. Suppose 12 = 4*x + 228. Let z be 180\/x*((-7)\/2 - -2). Solve -4*n + 12 = -3*f, p*f - f + z*n + 16 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - 16 = -4*r + d, 37 = 2*r - 3*d. Suppose 0 = 8*j - r*j + 12. Solve 0*s = s - 4, -j*x = -s - 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 7, d: 3}. What is prob of sequence aada?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 408 a factor of 139294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:52 PM and 5:18 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1\/12*-2 + (-276241)\/(-1302)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4\/3, -583, -0.4, 36, 0.7, -4 in decreasing order.\nAnswer: 36, 4\/3, 0.7, -0.4, -4, -583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -o**3 - 7*o**2 - 8*o - 7. Let m be n(-6). Suppose 3*v - m*v = -p + 148, 0 = -p + 4*v + 140. Let f = 224 - p. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -84623*r - 1167. Let j be b(-29). What is j rounded to the nearest 100000?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 4\/(16\/(-9))*-168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = -3*w + 32, 117 + 123 = 5*r - 5*w. Suppose a - r = -a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 7.89922 to one decimal place.\nAnswer: 7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = 40 - 35. Suppose h*v = 8 + 7. Suppose 0 = m, -n = -v*n + m + 268. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 397 and 1290?\nAnswer: 512130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 22985000 rounded to the nearest one hundred thousand?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -q**3 - q**2 + q + 4. Let b be n(0). Suppose 47690 = b*t + 6*t. Suppose -i + t - 780 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 42 = 821*q - 814*q - 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3\/((-6)\/8)*(-20 - -21). Let r be (z - (-36)\/8)\/((-3)\/(-6)). Calculate the lowest common multiple of 3 and 1 - (r - (5 + -1)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -g + 9. Let n(p) = 2*p - 19. Let w(j) = 7*l(j) + 3*n(j). Let t be w(8). Let a = 3 - t. Solve -3*s + 8*s = a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 15.02562 - 0.02562. What is the closest to -0.13 in -4, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -h**2 - 33*h - 267. Let v be d(-19). Put -186, 2\/9, v in decreasing order.\nAnswer: 2\/9, v, -186","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h - 20 = n, 4*n - 228*h + 227*h + 4 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 14423499 to the power of 1\/2, to the nearest integer?\nAnswer: 3798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = -353 + 356. Solve 14 = -k*v - 2*q, 0 = 9*v - 4*v + 3*q + 23 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.1 + -0.08. Let j = m - -0.48. Let y = j + 0.5. What is the third smallest value in y, -1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -14 - 400054?\nAnswer: -400068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y*y**(-7))**(10\/9)*(y**(-12\/7))**12)**(-14) assuming y is positive.\nAnswer: y**(3292\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2164\/30 - (-34)\/(-255). Let n = 1246 - 1084. What is the greatest common divisor of n and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 51 a factor of 571812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -1195*f - 8. Let t(q) = 2*q**2. Calculate t(z(p)).\nAnswer: 2856050*p**2 + 38240*p + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 10595 to the nearest 100.\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = 392.963 - 417.89. Round t to 1 decimal place.\nAnswer: -24.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 205 equal to 8371\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1064582 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: Express (99 - 89 - 1231)*(x - 3 - 2 + 3) as c + n*x and give c.\nAnswer: 2442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3211)\/(-91) - (-10)\/(-35). Is 3667\/5 + (-14)\/s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2593781?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9877258 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*c**4 - 39*c**3 - 138*c**2 - 144*c.\nAnswer: -3*c*(c + 2)*(c + 3)*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1050 - 1043. Solve -6 = o - z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1883 - 3346 - q + 5234 - 3262 to the form c + d*q and give c.\nAnswer: -3257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = -50 - 215. Let s = g + 400. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.22 - -4.78. Which is the biggest value? (a) 0 (b) h (c) -1\/6 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 57932*o - 57937*o - 5 + 5. Let w(g) = 2260*g**2. Give w(n(t)).\nAnswer: 56500*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -8*u + 327. Let l be q(33). What is the greatest common divisor of l and 175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -511635, -1023258, -1534905, -2046582, -2558295, -3070050, -3581853?\nAnswer: -4093710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -6 (b) -4 (c) 1\/5 (d) 2\/9 (e) 1444739\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 100633497 is divided by 627.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 7}. Give prob of picking 3 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -1020132 (base 4) in base 10?\nAnswer: -4638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/3, 5.6, 71985 in ascending order.\nAnswer: 1\/3, 5.6, 71985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-1)\/(x*x**(-2)*x))**(1\/20)\/(x**(2\/17)\/x**(-2\/13))**(-32) assuming x is positive.\nAnswer: x**(38179\/4420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 1\/7 (b) -3 (c) 0.0139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -4, 4, 7, -3254 in ascending order.\nAnswer: -3254, -4, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 = -m + 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -3288588 divided by 1644294\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-8)\/3)\/((-2)\/3). Suppose k = -k + x. Is (10 + -1)*(k - 1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*n - 11*n - 4*n)*(n - n - 2*n**2).\nAnswer: 30*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {o: 2, g: 3, y: 4}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -5*h, o - 5*o - h - 1 = 0. Suppose o*d = -d + 11. Which is greater: 39\/4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + 2 + sqrt(80) + sqrt(80) + -3)**2 + -1.\nAnswer: -96*sqrt(5) + 355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 71*u - 916 = 69*u. Suppose -28*q**3 - u - 4*q**4 - 62*q**2 + 12*q + 530 + 10*q**2 = 0. What is q?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10379861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 251888246.\nAnswer: 2, 125944123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4*c**6*h - 3*c**3*h - 2*c**3*y + 19*c**2*y - 2*c*h + 2*y wrt c.\nAnswer: 480*c**3*h - 18*h - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 11 - 8. Let l be (-15)\/6*2 + j. Let y = l + 0. Which is smaller: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -21.7442 to zero decimal places.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 107587 is divided by 452?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 688643357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = i**2 - i - 3. Let r(m) = -9*m**2 + 54*m + 18. Calculate r(u) + 10*z(u).\nAnswer: u**2 + 44*u - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -3*b**2 - 358*b - 9563. Determine z(-79).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -3*u**2 - 798*u - 5445. Calculate z(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 55 a factor of 103955500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -87*d - 7*d**3 + 87*d - 6 + 15*d**3 wrt d?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) be the third derivative of -a**7\/280 - a**6\/90 - a**5\/120 + 19*a**3\/3 + 23*a**2. Let u(y) be the first derivative of h(y). Factor u(j).\nAnswer: -j*(j + 1)*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -4.52 at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*j - 2 = -106*y + 108*y + 7, 3*j = 3*y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 149 and 65742674.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) be the third derivative of 0 + 7*n**2 + 1\/60*n**5 + 0*n**3 - 1\/12*n**4 + 0*n. Let s be a(-2). What is the greatest common divisor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = d + 14. Let c be p(-9). Suppose -3*a - c*y + 23 = 0, -2*y = 2*y - 16. Solve z = a + 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -449 + 449.1. What is the closest to 7 in j, 0.08, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -n**2 - 4*n + 2. Let q be m(-5). Let y = q - -20. Does 17 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 29, 3\/5, 2559, 1\/6.\nAnswer: 1\/6, 3\/5, 29, 2559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -19\/451626 and -44\/9.\nAnswer: 1354878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 95\/1053464 and 47\/488.\nAnswer: 64261304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = n + 4*g - 8829 + 3420, 2*n - 2*g - 10798 = 0. Suppose -3*l + 4*t = -n, 5365 = 3*l + 3*t + 2*t. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - o - 137 = 0, -3*a + 2*o = -0*a - 142. Calculate the remainder when a is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7 - (-2 + (15 - 26))) + (-14 - 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 522 - 520. Solve -n + 3*q - 12 = 3, 5 = n + s*q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3, 5.4, 0.5, -12?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1019370 and 750766005.\nAnswer: 1501532010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-6)\/4 - -1*1. Let k be (37\/(-185))\/((-1)\/(-5)). Which is the second biggest value? (a) k (b) f (c) 0.1 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 1482130135 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 10604 in -6, 1\/4, -1, -4\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1 + -1. Let j be ((-10)\/(-4))\/((-1023)\/(-62) + -17). Put t, j, 0.11 in descending order.\nAnswer: 0.11, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + (0 - 3) - (1 + -56)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 532 + -535. Put b, 0, 5, 6 in descending order.\nAnswer: 6, 5, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 u and 2 b when four letters picked without replacement from xbubuuuxxuuxubxxuxxb?\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -179\/71550 and -89\/750.\nAnswer: 357750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -14*v**2 + 2 + 0 + 11*v + 13*v**2. Let n be m(11). Solve r - 10 = -2*s, -s - n = -5*r + 2*r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22*m**3 - 123613 + 123613.\nAnswer: 22*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh biggest value? (a) -2 (b) 3 (c) 1\/7 (d) -6 (e) 5\/3 (f) -8.196 (g) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 11762 = -v, 3*v - 11*s + 12*s - 35266 = 0. What are the prime factors of v?\nAnswer: 2, 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/6*33)\/(29\/116) + 3.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7945816 is divided by 280.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pffpff. Give prob of sequence fp.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -n**3 - 5*n**2 + 6*n + 2. Suppose 5*d + 40 = -5*j, 3*d + 3*j + 18 = d. What is x(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -14, 4, -136, 0 in ascending order.\nAnswer: -136, -14, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 7*r - 9*r**3 + r + 4*r - 3*r**4.\nAnswer: -3*r*(r - 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 373 minutes after 12:04 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -19\/2 and -81\/2948.\nAnswer: 2948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -20*a**2 - 171*a**2 - 1154*a**5 + 52*a**2 + 884*a**5 wrt a?\nAnswer: -16200*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3211*r**2 - 3*r + 3*r - 3198*r**2 + 6375*r**2.\nAnswer: -34*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 - (203\/232)\/((-1)\/(-4)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d be -2 - (-356 + 5 + -3). Let r = -331 + d. Calculate the highest common factor of 315 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.5 (b) -0.6 (c) 1\/3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 24085383 and 57.\nAnswer: 457622277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -133\/2598 and -13\/6.\nAnswer: 2598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24972 = -2*t - 2*p, -2*t + 1655*p - 1653*p = -24976. What are the prime factors of t?\nAnswer: 12487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/2)\/((-19)\/19).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 152\/190 + 77\/(-14)*(-30804)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.957 - 0.043. Sort 1, 8, v.\nAnswer: v, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-6)\/21 - (-620)\/112 and 47\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 60817619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n be (1022\/98 - 2) + -9. What is the nearest to n in 0.2, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -5 (b) 2\/5 (c) -1\/4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.4627 + -0.443. What is q rounded to three dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 33025881 or 33025882?\nAnswer: 33025881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 0 (c) 0.3 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -8969 - -8973. Let y(w) be the third derivative of 0*w**3 - 7*w**2 + 0*w - 1\/210*w**7 - 1\/120*w**6 + 1\/24*w**p + 1\/60*w**5 + 0. Let y(i) = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 61593999 and 25230.\nAnswer: 615939990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 70?\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1557 greater than or equal to -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = -152 + 406. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*b + 2 - 2. Suppose -i = w - b*i - 2613, 4*w + 5*i = 10448. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14501717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = 737 + -424. Suppose 6*z - v = -271. What is the remainder when z is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 1, e: 5, u: 2, m: 1}. Give prob of picking 2 e and 1 m.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h + 28 - 28 = 3*h, 5*f + 4*h = 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -2*i + 8. Let v be m(3). Let x be (10\/60)\/(v\/(-18)). What is the closest to 4\/3 in x, 0.1, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 240, 5, 30\/991 in increasing order.\nAnswer: 30\/991, 5, 240","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Let u = 0.16 + -0.26. Suppose 0 = -3*n - n + 20. Suppose 0*h = 5*h - n. Which is the nearest to u? (a) -3 (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/((y\/((y*y**(-7\/4)*y)\/y))\/y)*((y**29\/y)\/y)\/y)**(-44) assuming y is positive.\nAnswer: y**(-1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(-6)\/(s**(-12\/11)*s)*s**(-6)*s**(-2\/15) assuming s is positive.\nAnswer: s**(-1987\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = 7610.03 - 7702. Let t = 92 + f. Which is smaller: t or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (-2 + sqrt(175))**2 + -1.\nAnswer: -20*sqrt(7) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -s - s + 3*s + 1 - 2*s. Calculate the least common multiple of ((-8)\/20)\/((-2)\/20) and b(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 - 3979*d**3 + 3857*d**3 + 6)*(-1 - 2 - 3) to b*d + t + a*d**3 + j*d**2 and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l be (33\/(-2))\/(((-36)\/96)\/(-1)). Suppose 0 = 4*i + 25 + 183. Let r = l - i. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -286436.792 rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1707 or -9631?\nAnswer: -9631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -d**5*h - 18704*d**4 + d**3*h - 2772*d**2 + h - 2 wrt d.\nAnswer: -60*d**2*h - 448896*d + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 17 - 2*k - 2*k**3 - 20 - 10*k**2 + 4*k**3 + 6*k**4 + 4*k + 2 to the form v*k + g*k**3 + f*k**4 + n + b*k**2 and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) be the second derivative of -11*r**3\/2 - r**2 + 3*r. Is j(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 105 divided by -105\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -10*j. Let d be 3\/(-3)*4 + 10. Let r(m) = 8*m + 6. Let q(a) = a + 1. Let g(k) = d*q(k) - r(k). Calculate o(g(i)).\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1290 is divided by 59.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.26 + 0.16. Which is the closest to 1? (a) -12 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 26\/10191 and -13\/24?\nAnswer: 81528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4782633, 4782634, 4782635, 4782636, 4782637, 4782638?\nAnswer: 4782639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + o - 25 = -3*o, -o = -2*u - 7. Let f be (u\/1)\/(1\/(-2)). Suppose 18 = f*p - 64. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 15586 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(190)\/(-1*sqrt(1000)).\nAnswer: -sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 142044 and 4014078?\nAnswer: 1067744748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = 7944 + -7317. Which is bigger: n or 625?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -8 + (1 + -9 - -4 - (-24 + 11 - -29))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*h + 29*h + 36 = 4*b, 4*h + 6 = -2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o be 0\/(0 + -4 - -5). Suppose o = 5*k - 2*k - 51. Solve 3*h + k = -0*z + z, 0 = -4*h - z - 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 321758331.\nAnswer: 3, 19, 31, 211, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q be (6 + -1)\/((-140)\/(-12)). Suppose -6 - 21 = -3*h. What is the nearest to 0 in q, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4816.212 millennia to months.\nAnswer: 57794544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 83 divide 1754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -81346*m. Let g(j) = -6*j**2. Give g(s(i)).\nAnswer: -39703030296*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-7*v + v - 2*v)*(2 - 6 + 3)*(-1 + 5 - 2) to the form s*v + u and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -15750 or -13329?\nAnswer: -15750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39 = -4*t + 5*x, 123*t + 5*x - 60 = 118*t. Let f(h) = h**2 + 2*h - 2. Let o(d) = -d**3 - 4*d**2 - 10*d + 10. Give t*f(w) + 2*o(w).\nAnswer: -2*w**3 + 3*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56 + 48 = 8*h. Let r(w) be the first derivative of -w**4\/2 + 2*w**3\/3 + 4*w**2 + 4. Let k(m) = 4*m**3 - 4*m**2 - 17*m. What is h*r(v) + 6*k(v)?\nAnswer: -2*v**3 + 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 166*m - 171*m + p + 425332, -2*m + 170128 = 2*p. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) be the third derivative of -11*o**9\/36 - 76*o**5\/15 - 2*o**2 + 99*o. What is the third derivative of v(c) wrt c?\nAnswer: -18480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1001 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6\/105*7*8143\/(-958)?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*n + 4*v = -3*n - 384, -3*n + 287 = -2*v. List the prime factors of ((-38)\/n)\/((-1)\/10) - -214.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3758985*t**2*z**3 + 2*t**2*z**2 + 4*t*z**3 - 16587698*t*z**2 - z**3 wrt z.\nAnswer: -22553910*t**2 + 24*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 8 = 0, 4*o - 3*o = -4*p + 27. Let i = -42 + 106. Calculate the remainder when i is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 4949083104 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -4 or 1.37?\nAnswer: 1.37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 9595827 to the nearest integer?\nAnswer: 3098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*c**4*v**2 + 7*c**4 - 194*c**3*v**2 + 241*c**2*v**2 + c wrt c.\nAnswer: -48*c*v**2 + 168*c - 1164*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 28823, 2\/153, 0, -0.8 in descending order.\nAnswer: 28823, 2\/153, 0, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 569, 554, 539, 524, 509, 494?\n\"Answer: -15*j + 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -997, -1798, -2599, -3400, -4201, -5002?\nAnswer: -5803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) be the first derivative of 1\/2*d**2 + 1\/4*d**4 - 4\/3*d**3 + 4*d + 3. Give z(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 1101196284 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = -7 - -9. Suppose 0 = 5*a - 4*l - 24, -3*a - l = d*l - 9. What is the greatest common factor of 16 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -5*r - r + r - 3 - r**2 + 2. Let q be z(-4). Suppose -3*k = q*y - 4*k - 219, -2*k + 6 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 91202, 91180, 91140, 91076, 90982, 90852, 90680, 90460?\n\"Answer: -h**3 - 3*h**2 - 6*h + 91212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is fifteen quarters of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = g**3 - 2*g**2 - g - 6. Calculate the remainder when u(5) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*o - 65 = 8*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q*q*q**(-7))\/q**(8\/7))\/(q*q**14*q*q)**(2\/137))**(-2\/25) assuming q is positive.\nAnswer: q**(12258\/23975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -m**3 - 12*m**2 + 92*m + 147. What is n(-19)?\nAnswer: 926","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m be 72\/7 + (-4)\/14. Let q(s) = 2*s**3 + 4*s - s + m*s**2 + 1 - 3*s**3 + 2*s**3. Is q(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6 + -3. Let s = 1 + n. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 14 + 69. Round p to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -73 times 1\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*g - 14*g + 8968 = 2*m, -2*g = 4*m - 17936. Is m a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -67, 0, -3, -14, 3 in ascending order.\nAnswer: -67, -14, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = 14 - 16. Let u = 5.327 - 0.327. Which is the closest to 6? (a) u (b) 2\/7 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -7*i + i**3 + 5*i - i + 6013*i**2 - 6015*i**2 - 6 + i. Determine z(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 101153 - 100971 = -13*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(2\/19)\/(l\/(l**(1\/16)\/l)*l))\/(l*l**(2\/7))**(-27))\/((l**1*l**(2\/9))\/(l**(2\/3)\/l**7)) assuming l is positive.\nAnswer: l**(465901\/19152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/24*2)\/((-245)\/(-210)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1 - -200010222?\nAnswer: 200010221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = -2*r + 2, 4*r = r + 3. Suppose p = -0*q + q - 33. Suppose -j + 5*z + q = -10, z - 193 = -4*j. Calculate the greatest common factor of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen eighths of a tonne in kilograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) -358 (b) -10 (c) 110 (d) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*l**5 + 30*l**4 + 5*l**3 - 120*l**2 - 100*l = 0 for l.\nAnswer: -5, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1019039023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = -252 + 719. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 425968.\nAnswer: 2, 79, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -68 = 9*k - 5*k. Let q = k - -22. Suppose 0 = 2*m - 3*l - 29, q*l - 2*l + 10 = m. What is the remainder when m is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p*p*p*p\/p**(2\/3)*p)\/p)**(2\/11))**(2\/31)\/(p**(1\/5)*(p*p\/(p**(-1\/4)\/p*p*p)*p*p*p)\/p*(p\/p**1)**18) assuming p is positive.\nAnswer: p**(-69787\/20460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -r**3 - 44*r**2 + 42*r - 120. Let h be y(-45). What is the greatest common factor of 12 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1249262?\nAnswer: 2, 7, 17, 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -22*0.054.\nAnswer: -1.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -452 = -t + 18. What is the highest common divisor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0614877 minus 1?\nAnswer: -0.9385123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 313*u - 757 = 1714 + 346 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 54352 and 2752?\nAnswer: 217408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*r**2 - 1719*r + 12180.\nAnswer: -3*(r - 7)*(r + 580)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d = 3*v - 17276, -3*v + 18832 = 4*d + 1572. Is v a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 266016372?\nAnswer: 2, 3, 89, 249079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 19 - o**3 - 10 - 8 - 3 to the form s*o**2 + v + m*o + t*o**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u**3\/8 + 4765449*u**2\/8 + 2382729*u\/4 - 1191363 = 0.\nAnswer: -2, 1, 1588484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-81)\/54*(1 + (-14)\/6). Suppose -q*y = -4*m - 814, y - 218 - 191 = 3*m. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2.727 - -0.273. Put g, 11, -2, -0.05 in ascending order.\nAnswer: -2, -0.05, g, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:23 PM and 2:00 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*u - 33*u + 94544 = 0. What is the highest common factor of u and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -14*i**3 - 39 - 2*i**3 + 43 wrt i.\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1 - 1971363?\nAnswer: -1971364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x**2 + 7*x - 7. Suppose -4*n = -4*p + 1304, 2*n - 94 = -5*p + 1501. Let w be 2\/(-8) - (p\/(-4) - -2). Let y be w\/15 - (-32)\/40. What is r(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0627084 times 16.3?\nAnswer: -1.02214692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1 + (-9)\/(-6))\/(-2). Suppose 22 = -2*y + 5*u, 0*u - 2*u + 16 = -2*y. Let k be (y\/8)\/((-3)\/2). Sort 5, j, k.\nAnswer: j, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*l + k + 41 - 35, k + 6 = -2*l. Let i(g) be the third derivative of -1\/20*g**5 + g**3 - 1\/8*g**4 + 0*g + 12*g**2 + l. Factor i(h).\nAnswer: -3*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*p + 13*p = -5*z - 4, 0 = 2*z. Let j be -4 - ((-1)\/p)\/(10\/80). Suppose 0 = -6*f + f + 15. Solve j*o + f = -3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -586691, -586747, -586803, -586859, -586915, -586971?\nAnswer: -587027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 22182 - 22157. Suppose -3*c - 61 = -0*q - 2*q, 3*q - 2*c - 99 = 0. Calculate the greatest common factor of q and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + sqrt(22)\/sqrt(2) + sqrt(22)\/sqrt(2) + -3 - (-5 + sqrt(33)\/sqrt(3) - (sqrt(11) + 1 + -2))**2.\nAnswer: -14 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 45435 is divided by 463.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by -85?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*m**3*r - 8262*m**3 + 434*m**2*r + 6*m**2 + 14*r wrt r?\nAnswer: 2*m**3 + 434*m**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 117 + -145. Let g be 0*l\/70*10\/8. Which is bigger: g or 0.64?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -l**3\/3 + 1916*l**2\/3 - 19085*l\/3 + 47650\/3.\nAnswer: -(l - 1906)*(l - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -2*n - 4. Let t(p) = 13*p**2 - p + 1. Let u(r) = 27*r**2 - 2*r + 2. Let i(v) = 13*t(v) - 6*u(v). What are the prime factors of i(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 9 + -13. Let t = -3 - q. Is (9 - t)*7\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.4017 - 41.4017. Which is the biggest value? (a) 2\/7 (b) -5 (c) f (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1.01 - -16.01. Let o = -0.22 + 0.12. Which is the closest to 1? (a) 4 (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kkuckkkkkkkuukkkk. Give prob of sequence kk.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + (sqrt(3) - (-1*sqrt(432) + sqrt(432) + sqrt(3)) - (sqrt(12)\/sqrt(4) + 4)) + -1*(0 + sqrt(192))*-3)**2.\nAnswer: -46*sqrt(3) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5213*y - 5213*y + 9*y**2.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sum -8482819971 and -959.\nAnswer: -8482820930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 13*m**2*n*s**3 - 6*m**2*n - 2*m**2*s**3 - m**2*s**2 + m**2*s + 12*m*n*s**3 - n*s**2 wrt s.\nAnswer: 78*m**2*n - 12*m**2 + 72*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 23, 2, 8, 4 in descending order.\nAnswer: 23, 8, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 2855605 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -3*c**2 - 8*c - 4. Let z(a) = 2*a**2 + 40*a - 40. Let f be z(-25). Let v = f - 216. Let k(o) = 3*o**2 + 9*o + 5. Calculate v*k(t) - 7*s(t).\nAnswer: 3*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 9690 and 4335.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0003256226 to 5 dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 4*d**2 + d**2 - 3*d**2 - d**2. Let t(c) = 10*c**2. Let y(f) = -6*i(f) + t(f). Let g(m) = -1 + 1 - 2*m. Determine y(g(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*g**4 + 2775*g**3*p + 2*g*p + 1826*p wrt g.\nAnswer: -12*g**3 + 8325*g**2*p + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 2*u = 205, -344 = -2*r - 3*r + u. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 99 and 100013199.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = v. Let l(y) = 68*y**2 - 883*y - 52. Let r(d) = 3*k(d) + l(d). Let r(t) = 0. Calculate t.\nAnswer: -1\/17, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-6)\/(-40))\/((-13)\/(-26)))\/(4\/(-90)).\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-40)\/32)\/(2\/8). Let i(k) = -k**2 - 9*k - 11. Let a be i(p). Solve -5*b + 5*u + a = -3*b, 4*u = -5*b - 27 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 4*r = n - 10, 5*n = 2*r + 2. Suppose -n*d = 4, u - d - 2*d = 11. Solve -5*g + u + 0 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 69 + -68. Let u(t) = a - 10*t - 7*t + 19*t + 0*t**2 + t**2. Let g = -17 - -15. Calculate u(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 5238 and 24?\nAnswer: 20952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 70 + -74 - (3 + 2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1803 a factor of 4029119025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -3*u**3 - 2*u**2 + 2*u - 2. Let p = -45 + 43. Let f(y) = 16*y**3 + 11*y**2 - 11*y + 11. What is p*f(a) - 11*m(a)?\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -2*c + 5. Let q be m(-4). Let z = q + -11. Differentiate 2*s**z - 5*s**2 + 38 - 15 - 7 wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that 304\/7*v + 72\/7 + 342\/7*v**2 - 50\/7*v**4 + 60\/7*v**3 = 0.\nAnswer: -1, -2\/5, 18\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2.7 or 77?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(4)\/(sqrt(24)\/(sqrt(12)*-1)))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/b**(4\/5)*b*b**12)\/(b*b**(-1)\/b*b)**(-13))**(20\/7) assuming b is positive.\nAnswer: b**(264\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 138 = 16*n + 42 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 2 f when three letters picked without replacement from fffggggfgyf?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/31, -427, -4168\/17?\nAnswer: -4168\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = x**3 + 1483*x**2 - 70281*x + 81049. Determine j(-1529).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 11350 + -11210. What is the closest to -0.2 in d, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -387 - -577. Suppose p - 84 = -82. Calculate the remainder when o is divided by 660\/22 + 0 + p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 take away 47299824?\nAnswer: -47299823.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 25824 divided by -475\nAnswer: -25824\/475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -4*g. Let t(i) = -6*i + 4. Let d(n) = 5*n - 3. Let h(k) = -4*d(k) - 3*t(k). Give s(h(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s + 0*s = 2*y, -3 = 2*y - s. Let n be (36\/8)\/(y\/(-4)). What is the least common multiple of 2 and n\/(-3) - 10*-1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -12*i**3 - 143*i**2 + 27*i + 156. Let m be u(-12). Sort -160, 3, m, 2 in descending order.\nAnswer: 3, 2, m, -160","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -50, -91, -138, -191?\n\"Answer: -3*j**2 - 32*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and 1\/521 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 10.3 + -727.6?\nAnswer: -717.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 431, 863, 1297, 1733?\n\"Answer: o**2 + 429*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is (-8 + 959)*(-2)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -5a - 447?\nAnswer: -4a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 2\/(-8)*(-55)\/8 and (-33)\/(-440) + (-2)\/8.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*y + 32*y = 59*y + 6. Suppose -5*r = -l - 14 - 3, -3 = 3*r - 5*l. Put r, 0, y, -5 in descending order.\nAnswer: y, r, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -55.1 + -1.9. Let y = g + 51.5. Let i = y - -4.8. What is the biggest value in 0, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 2*g - 3. Let l be t(3). Suppose l*y = y. Find the first derivative of -2 + y - 4*v + 0 + 1 wrt v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2344?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/4, -73205, -12\/67, -0.4?\nAnswer: -73205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*m + 80743 = 80519 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/10 or -0.07?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 1771*g - 12372. Calculate l(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -t**2 - 3*t - 1. Let v(k) = -k**3 + k**2 + 2*k - 3. Let w be v(2). Let x = w + 3. Suppose -n = -5*z + 9*z + 10, x = 3*n - 3*z. What is m(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 348 (base 10) to base 12\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 15.6 - 17.4?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -0.549787168 minus 155?\nAnswer: -155.549787168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 122 is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 4136*g. Let f(h) = 8282*h. Determine -3*f(y) + 5*l(y).\nAnswer: -4166*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let 2*v**4\/3 - 5452*v**3\/3 - 543758*v**2\/3 + 5453128*v\/3 + 4345880 = 0. What is v?\nAnswer: -105, -2, 11, 2822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n be (930\/(-45) + 21)*1\/((-2)\/(-175158)). Round n to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = 1 + 7. Let n be y\/4 - 1\/(-4). Suppose 0 = -0*s + 2*s + 8. Which is the nearest to 0.1? (a) s (b) n (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -6245 divided by 5\nAnswer: -1249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/2*(-15848)\/5660.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 306, 528, 738, 930, 1098, 1236, 1338?\nAnswer: 1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3760240 to the nearest integer?\nAnswer: 1939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 953, 1905, 2855, 3803?\n\"Answer: -a**2 + 955*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -4*q, -4*q + 3*q + 34 = -4*d. Let n(i) = i + 13. Let c be n(d). Solve -2*m - 20 = 3*f, 4*m + c = 6*f - 3*f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 20*f**2 - 273 + 273. Let h(c) = 2*c. Determine h(t(j)).\nAnswer: 40*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 2*z = -35. Let x(j) = j**3 + 8*j**2 + 5*j - 8. What is the units digit of x(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.095*-0.5.\nAnswer: -0.0475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 159*p + 2383 + 6647 = -2401 - 8921 for p.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 0 != -4037336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -o**2*s**2 - 2*o**2*s + 11*o**2 - 6*o*s**2 + 3*o*s - 20*o - 2*s**2 wrt o?\nAnswer: -2*s**2 - 4*s + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -7b086 + 4?\nAnswer: -7b082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 606 = g, -3*g - y = y - 1774. List the prime factors of g.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*o - 2*n = 24, -42*n + 12 = 4*o - 46*n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 140 and 2030?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that -22*c**5 - 92*c**4 + 94*c**3 + 20*c**2 = 0.\nAnswer: -5, -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1091615365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = -6 - -10. Let r be -1*(24\/u)\/1. Suppose -5*q - 4 = -q. Sort 1, r, q in increasing order.\nAnswer: r, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 526 minutes before 11:18 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 307089 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + -3 + (4*(0 + (sqrt(325) - ((1*sqrt(325) + sqrt(325))*-3 - sqrt(325)) - (-2 + 2*sqrt(325)))) + 1)**2.\nAnswer: 2160*sqrt(13) + 187276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3190 - -3217. Do g and 2\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lld when three letters picked without replacement from dgdvdlldd?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (21 - 26) + (17 - 2) - 2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 - 14 - 0 - -4 - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 649835.5 * -0.08\nAnswer: -51986.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10380 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 10, k: 10}. What is prob of sequence xkk?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 89218?\nAnswer: 2, 31, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -54 (base 7) to base 15.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 9, 20, 31, 42?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*r**5 - 861795*r**4 - 9*r**2 - 24806034*r?\nAnswer: 40*r**3 - 10341540*r**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 14289.6111 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = x**3 - 12*x**2 - 12*x + 9. Determine z(13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-6)\/(-27) - (-2)\/(-90))*5. Let p be (v + -4)*4*14\/(-21). Let r(i) = 2*i - 7. Determine r(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(19)*5)**2 + (-2*sqrt(57))\/sqrt(3).\nAnswer: -2*sqrt(19) + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6 - 6 - 7*l)*(-4 + 4 + 2) to o + i*l and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:17 AM and 6:08 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 37296 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-6293)\/87 + 1*5. Let l = -64 - r. Suppose 5*h + 5\/3*h**2 + l = 0. What is h?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 79382960 a multiple of 5710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - m + 76 + 67 = 0, 0 = 3*b - 3*m - 96. Let u be 4\/(-10) - b\/(-25). What is the tens digit of (u*14)\/((-5)\/(-25))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*(i**(6\/11)*i)\/i*i*i)\/i*i**(-1\/4))**(1\/10)*((i\/i**11)\/(i**(-2\/13)*i))**15 assuming i is positive.\nAnswer: i**(-929287\/5720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = -84 - -90. Suppose m + y - 18 = 0. List the prime factors of -3*24\/(-27)*m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-9 + 4*n + 2 + 0)*(4 - 5 + 29) - 2*n + 0*n + n - 1 + 1 - n + (-1 + 2 + 1)*(-n - 2*n + 5*n))*(0 + 3 - 1) to w + v*n and give v.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 50*t**2 + 47*t - 47. Let l be x(1). Calculate the greatest common divisor of 1990 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -153.9*-2.\nAnswer: 307.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**4\/(q*(((q\/q**3)\/q)\/q)\/q)*q*q**(-3\/7)\/q*q*q\/q**(-3)*q*q assuming q is positive.\nAnswer: q**(102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7.14 + -0.14. Let l = u + -10. Let n = 2 + l. Sort 1\/5, -0.4, n in descending order.\nAnswer: 1\/5, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -9*f - 115. Let k be a(-13). Solve -4*c - 2*t = 2, -k*c + t + 1 = 4*t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 273 + -273.04. Sort 2\/5, t, -3.\nAnswer: -3, t, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 8 = a, -6*d = -5*a - 7*d + 20. Let b(m) = -2*m**2 + 19*m - 21. Let k be b(11). Let v = k - -54. Solve i + v*i = u + 2, 3*i = 2*u + a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.8 and 4946.\nAnswer: -3956.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -126*t + 107*t - 55*t - 945 - 2681 for t.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -0.4, -2, -1, 3\/17 in increasing order.\nAnswer: -2, -1, -0.4, 3\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t + x = -x - 8, -2*t - 4*x - 16 = 0. Let n = -276 - 36. Let m = n + 316. Which is the third biggest value? (a) t (b) 5\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 3 = -5. Let v be (6\/(-7))\/((-22)\/77). Suppose i*t - v = t. Solve -t = 2*b - b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3952423.\nAnswer: 3952423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4 + -261?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.340999682 + 0.341. What is x rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (81 + 17 - 5)*(0 + 3 - 2)*(-12*f - 9*f + 17*f).\nAnswer: -372*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3195299 nanograms in milligrams?\nAnswer: 0.0000003195299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q**5\/17 + 18*q**4\/17 - 52*q**3\/17 + 36*q**2\/17 + 54*q\/17 - 54\/17 = 0 for q.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 270*k**2 - 176*k**2 - 733*k**2 to u*k + f*k**2 + d and give f.\nAnswer: -639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b**3\/2 - 147075*b**2 + 6768345*b\/2 + 7356625 = 0 for b.\nAnswer: -58853, -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*f**2 - 3*f**2 + 11 - 11.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) be the first derivative of 7*h**3\/3 + 1. Let j(g) = -15*g. Let n(k) = -17*k. Let a(y) = 7*j(y) - 6*n(y). Determine a(o(m)).\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 2, i: 5, j: 3, d: 2}. What is prob of sequence jzj?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*m + 3*p + 60000 = -14*m, 0 = 4*m - p - 79985. What is the thousands digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 14.21 - 14. Let h = n - 0.21. What is the nearest to -3\/2 in 0.5, h, 2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.2 from 72721727928.\nAnswer: 72721727927.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*g**2 + 136*g**3 - 1495*g + 1979*g - 484*g + 0*g**2.\nAnswer: 136*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (16*(-1)\/12)\/(-6)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 229\/4 + (-1)\/4. Suppose 38 + y = 5*q. Let p = 24 - q. Solve -3*x + 2 = p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j**4\/15 + 53150*j**3\/3 + 265744*j**2\/5 - 8*j\/15 - 1062976\/15 = 0.\nAnswer: -132872, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 103*v + 108*v - v**3 + 489*v - 3*v**4 + 380*v**2 - 2*v**4 + 6*v**3.\nAnswer: -5*v*(v - 10)*(v + 2)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1292 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(-4 + sqrt(51)\/sqrt(3)) + ((3 + 1 + sqrt(1088))**2 - sqrt(1088)).\nAnswer: 57*sqrt(17) + 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 3235553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2314017 rounded to four decimal places?\nAnswer: -0.2314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = -402.7 - -403. Which is the smallest value? (a) 0.05 (b) 1 (c) q (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 351011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -3906, -4935, -3078, 1671, 9318, 19869?\n\"Answer: m**3 + 1437*m**2 - 5347*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 49*z - 54*z + 5. Solve 2*l - z = 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6269 + -6263. Calculate the highest common factor of 56 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -11*t**2 + 2*t - 3. What is d(3)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t = 4*q - t - 48, 22 = 2*q - t. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-4 - 40)*2*2\/(-16). Let j(g) = 2 + r*g - 2*g + 0*g - 6*g. Let l(p) = -2 + 3 - 2*p + 3*p. Give 3*j(n) - 6*l(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 41\/2 of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -142 - -142. Solve f = -4*j - 5 + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 22\/33*((-114)\/6 - -4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -136308 or -136210?\nAnswer: -136210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*u - 2*u + 3*s + 53, -45 = -5*u - 5*s. Let x(m) = 11*m - 111. Calculate x(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(162) - (2 + sqrt(162)*-1))*-4 - (-4 + (sqrt(162) + -2*2*sqrt(162) - sqrt(162) - sqrt(162))))**2 + -3.\nAnswer: -648*sqrt(2) + 1599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: ((-38)\/(26676\/(-1014)))\/((-2)\/18)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 14 (b) 4\/7 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17216 is divided by 1708?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4 - -4.4. Suppose 5*y = 5*t - 0*y + 25, 0 = -4*y + 20. Let o be (-2)\/(-8) + (-22)\/56. What is the nearest to t in d, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -h**2 - 2*h + 9. Let n(y) = y**2 + y + 1. Determine -2*n(s) - z(s).\nAnswer: -s**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-84)\/(-9114))\/((-3)\/(-21))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -64.57512 - 1.8.\nAnswer: -66.37512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -37890*a - 2349184. Determine f(-62).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -u**2 + 2 - 2. Let i(l) = -6*l - 14*l - 19*l + 71*l - 17*l. Determine p(i(t)).\nAnswer: -225*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(98) + 0)*-3 - (-4 + 1 + sqrt(98))**2) + 4.\nAnswer: -103 + 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 6*h + 4. Calculate i(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sum -11 and -0.36872426.\nAnswer: -11.36872426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 11618 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*y**2 - 3 - 9 + 10*y**2.\nAnswer: -5*y**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1223225 (base 6) in base 16?\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5.9017, 2, 0.4, 0.1, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 753 (b) 0 (c) 3\/97 (d) 1 (e) 9 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -101100000011001111 (base 2) to base 3\nAnswer: -100011111122","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: What is 5355 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is ((-246)\/30 - -7)\/((-6)\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide -660660 by -8470.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in 109, 114, 119?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 v, 1 m, and 1 b when four letters picked without replacement from mbtubbmuebebmebbvv?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 5.7, 0.8 in descending order.\nAnswer: 5.7, 5, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -51, -108, -183, -282, -411, -576?\n\"Answer: -v**3 - 3*v**2 - 41*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/(-4)*-1*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -j + 2 + 1 - 3. Let d(u) = 2*u**2 + 16*u + u**2 - 16*u. Determine o(d(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -s + 3. Let u(y) = 19*y - 142. Let q(m) = -u(m) + 3*w(m). Let p be q(7). Which is the closest to 0? (a) -0.2 (b) p (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 4, 64, -7, 1 in descending order.\nAnswer: 64, 4, 1, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 15) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 188*n - 265*n + 535 = -1467. Let m be (4 - -9)\/(1\/17). What is the highest common factor of m and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44*o = 170*o. Let w = 5.1 - 9. Which is smaller: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6635259467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = -698\/5 - -140. What is the biggest value in -5\/8, 0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) be the second derivative of -a**6\/2 + 3*a**4\/2 + 2*a. Find the third derivative of j(t) wrt t.\nAnswer: -360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25827*p + 25852*p = 1500. Calculate the greatest common factor of p and 19860.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -2\/13 (b) 5 (c) -0.02 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -59 + 21 - b**2 + 3*b + 22 + 0*b + 22. Let t(f) = f**2 - 6*f + 5. Suppose -v + 12 = v. Let u be t(v). Determine g(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-5 + 8)\/(-3 - -2). Let f(w) = -w**2 - 6*w - 5. Let p be f(l). Suppose -4*t = -5*q - t + 212, -3*q + 104 = p*t. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/(-232)*((1508\/39)\/(-29))\/1?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -803848 (base 10) to base 11\nAnswer: -4a9a41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 188012113?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5454 + 16361\/3. Which is smaller: a or 6\/935?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -42.89 + 42.8900043441. Round g to seven decimal places.\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -3571, 12 in ascending order.\nAnswer: -3571, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/2? (a) -1\/23 (b) 953 (c) -5 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -5.89 * 94.173\nAnswer: -554.67897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2 - -604?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 5 (base 12) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 8, j: 3}. Give prob of picking 2 b and 2 j.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = 333.9606 - 334. Round t to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -23*z**2 + 54*z + 4. Let l(x) = -3872*x. What is n(l(w))?\nAnswer: -344824832*w**2 - 209088*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -21120110 (base 3) in base 8?\nAnswer: -12620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 4*p + 0*p**2 + 4*p**2 - p**2 - 9*p + 4. Suppose 0 = -3*c + 8*c + 25. Let v(s) = -2*s**2 + 4*s - 3. Calculate c*v(u) - 4*f(u).\nAnswer: -2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -524034 (base 8) in base 9?\nAnswer: -284743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 118254996 a multiple of 1224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = h**2 - 1. Let i = 397 + -387. What is the lowest common multiple of i and x(-3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (sqrt(475) + -1)**2 + (sqrt(475) - ((1*sqrt(475))**2 + 0)) - 5*(((sqrt(95) + (sqrt(95) - 3*sqrt(95)))*-4 + sqrt(95))\/sqrt(5))**2) + -4.\nAnswer: -2377 - 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = 5*r - 51, -r + 5*y - 37 = -4*r. Suppose b = 32 - r. Is b a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.19293929 + -0.05\nAnswer: -0.24293929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9110125 is divided by 314142.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put -9, -2, 0, -8 in descending order.\nAnswer: 0, -2, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*c - 32 = 24*c. Let q(x) = x**2 - x + 1. Let y(i) = -7*i**2 + 22*i - 4. Let s(n) = c*q(n) - y(n). Factor s(d).\nAnswer: 3*d*(d - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + 7 = 2*o, 6*p + 13 = 3*p + 5*o. Let y be 2 + 0 + 2 - p. Suppose -y*k - 67 = -4*z, -5*z + 24 = -3*k - 50. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zbbb. Give prob of sequence bb.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -1, -4788, 5, -3, 3 in descending order.\nAnswer: 5, 3, 1, -1, -3, -4788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 141621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -16699752 - 0.4\nAnswer: -16699752.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w + 711 = 5*s, 4*w + 7*s = 9*s - 714. Let c = 184 + w. Let y(t) = -7*t**3 - 4*t - 4. Let h(m) = 7*m**3 + 5*m + 5. Calculate c*y(d) + 4*h(d).\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 131154 is divided by 18734?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*c + 3*c - 3*c)*(428*c - 465*c + 933*c).\nAnswer: 1792*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 2 v when three letters picked without replacement from pevveeevevv.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) be the third derivative of -127*b**9\/252 + 86*b**5\/15 + 11*b**2 - 4. What is the third derivative of o(j) wrt j?\nAnswer: -30480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -4*p + 3*b, 3*p + 10 = -b - 4*b. Let r(h) = h**2 - 8*h - 1. Let z be r(8). Let s be 0\/(-3*z\/3). Do p and s have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/2? (a) 2\/7 (b) 26 (c) 1907171\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 13 + 0 + 82 + -89 + -18?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -8 - -38. What is the remainder when 118 is divided by a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2691 is divided by 675.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 2673 = x, -5*k + 10*k - 6*x - 3392 = 0. What is the remainder when k is divided by 113?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 65404238 by -6.\nAnswer: -32702119\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -g**2 - 8*g - 7. Let a be p(-7). Suppose a = -0*n + n. Let v = 265 + -262. Sort v, 2, n in ascending order.\nAnswer: n, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -6*j**4 - 10*j**3 - 14*j**2 - 2*j. Let c(o) = -o**2 - o**4 + 26*o - 46*o + 21*o + o**3. Suppose -5 = -4*m + 3. Let i(u) = m*c(u) - s(u). Factor i(n).\nAnswer: 4*n*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:54 AM and 3:46 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = -35 - -38. Solve -2*i + 0*b - 1 = -3*b, -3*i + 5*b - o = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -41417 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4.8 + -0.8. What is the closest to 0 in p, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide 1404\/60*10\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = 4*m - 4*z + 9, 4*m = -2*z. Let c be -27*(-1)\/(m + 2). Suppose 3*d = -0*d - v + 27, 3*d - 3*v = c. Calculate the remainder when 26 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 41 + -21. Suppose -3*v + a = u, 2*v + 4*u = 7*v - 56. Suppose -k - 4*f = -0*f, f = 2*k - 9. Calculate the lowest common multiple of v and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (13*b - 2 + 12 - 11)*((-2 + 4 + 0)*(2*b**2 + b**2 - b**2) + 2*b**2 - b**2 + b**2).\nAnswer: 78*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 99, 199, 295, 387, 475?\n\"Answer: -2*m**2 + 106*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -78288*f**3 - 2136291*f**2 - 607947*f - 1134 = 0 for f.\nAnswer: -27, -2\/7, -7\/3728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1329?\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = j**2 - 7*j + 2. Let w be u(6). Let s(v) = v + 6. Let l be s(w). Suppose 3*t - 4 = 2, f = t - l. Sort -4, f, 4.\nAnswer: -4, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 6*s + 17. Let f(z) = -2*z - 6. Let l(c) = -11*f(c) - 4*n(c). Let u = -1397 + 1392. Determine l(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 833 * 4824.\nAnswer: 4018392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s be 0 + -104 + (-12 - -8)*1. Let z be 18\/(-4)*s\/81. What is w in 9\/2*w**3 - 6*w - z*w**2 + 6*w**4 + 3\/2*w**5 + 0 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 94219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -197719 = 12*l - 197659 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 37220 and 179229188?\nAnswer: 7444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) be the third derivative of f**6\/30 - 3*f**4\/8 + 2*f**2 + 16*f. Find the second derivative of s(g) wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2212\/(-588) + (2 - -1). Let p = 10\/7 + s. Suppose 0*h**2 - 4\/3*h + p - 2\/3*h**4 + 4\/3*h**3 = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4 in 0.1, -1\/8, -1\/2, 1\/92?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l**3 + 4*l**2 - 2*l + 5. What is n(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*d + 0*d - 4*d + 6*d + 13.\nAnswer: -2*d + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-8)\/120)\/(0 + 1). Let k = 12 + -12.34. Let v = 0.34 + k. Which is the smallest value? (a) -0.5 (b) g (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - p + 26 = 2*j, 4*j + 5*p = 80. Suppose k + 4 = -y - 3*k, 5*k = 2*y - 31. Calculate the remainder when j is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 2266, 9071, 20414, 36295?\n\"Answer: 2269*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4 - 95\/(-50) - (-48)\/30)*(99 - 1).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -100 - -241. Suppose -5*q - 5*w + 225 = 0, 3*q + 4*w - u = -3. What is the smallest common multiple of 10 and q?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -395549 = -395427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(336)*2 + sqrt(336))\/(-1*sqrt(1008)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = g**2 + g - 1. Let r(p) = 4*p**2 + 2*p - 4. Suppose 0 = -4*o + 7*o - 5*h + 133, -o - 3*h = 35. Let k = 43 + o. Calculate k*r(b) - 7*j(b).\nAnswer: b**2 - 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -2354323 (base 7) to base 4\nAnswer: -1021003330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + k + 46 = -3*b, 52 = -4*b - 3*k. Let w = b + 18. Suppose 0*s - w = -4*s. Solve -2*p - 3*c = 2, -2*p - 2 = 2*c + s*c for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.227 + -0.173. Which is the third biggest value? (a) -21 (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 38\/11 in 1\/4, 0.1, 22, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/7 in -1\/5, -0.144, -0.056, 4?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xiyiiixixxxxicxxiiyi. Give prob of sequence xiyc.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1 - ((-2)\/(-1) + -6). Let d = m + 2. Let t(r) be the second derivative of r**3\/6 - 7*r**2\/2 - 3*r. Let z(v) = 1. Calculate d*z(u) + t(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 406 minutes after 6:47 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1395 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3181794153?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -1001010 (base 2) in base 15?\nAnswer: -4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -s. Suppose -54 = -0*l - 2*l. Let g = -22 + -6. Let d = g + l. What is n(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*i = -4, 4*i + 12 = -p - 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 17593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 148726 and 4140?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 2, l: 8}. Give prob of sequence lll.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*l**4 - 2*l**4 + l + 3 - l - l**3 to the form z*l + m + d*l**2 + h*l**3 + p*l**4 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3\/35 in 1302, 3, 1.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = -3*g + 199944025, -5*g + 5*b - 26409524 + 359649499 = 0. What is g rounded to the nearest one million?\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -3*f - 14. Let m(g) = -g - 1. Let c(w) = i(w) - 2*m(w). Let q be c(-5). Let x(p) = -p**2 - 7*p - 3. Determine x(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 3*w + 7*w = -244, 293 = -5*f - w. Let b = -3 - f. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.3960173 micrograms to grams.\nAnswer: 0.0000003960173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be 0*(-1)\/(-2 + 1). Suppose a = -4*j - 8 - 0. Does 17 divide j*1*(-102)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 766 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = n + 3*n + 16, -3*n - 10328 = -4*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 176 = 7*p - 4*p, 4*p + 4*z - 208 = 0. Let d(i) = i + 1. Let a be d(3). What is the third derivative of -57*k**4 + p*k**a - 4*k**2 + 3*k**6 wrt k?\nAnswer: 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (232*g - 872*g + 359*g - 6*g + g + 3*g + (3*g - 5*g + g)*(0 - 2 + 5))*(5 - 5 - 1)*(4*g - 3*g - 3*g).\nAnswer: -572*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -464421, -464426, -464435, -464448, -464465, -464486, -464511?\n\"Answer: -2*a**2 + a - 464420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 11*c - 12909 - 19651. Is c a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -22, -41, -58, -73?\n\"Answer: c**2 - 22*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -12*z**2 + z + 1957. Let d(o) = 23*o**2 - 2*o - 3915. Let w(j) = 13*b(j) + 6*d(j). Differentiate w(i) with respect to i.\nAnswer: -36*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -11382 + 11381. What is the third smallest value in j, -11640, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = j**2 - 10*j - 35. Give x(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2394 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 2*n**3 - 5*n**2 + n + 2. Let h(p) = 2*p**3 - 6 + 0*p - 2*p + 15*p**2 - 7*p**3. Let o(x) = -8*f(x) - 3*h(x). List the prime factors of o(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*x*z**4 - 13*x*z + 11211*x - 276*z**2 - 2*z - 1 wrt z?\nAnswer: -8*x*z**3 - 13*x - 552*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = k - 1. Suppose 5*h - 3*m = 9, -4*m = -4*h - 3*m + 3. Let g(j) = -8 - 4 + 7*j + h. Let r(s) = -g(s) + 6*l(s). What is r(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 = -3*v + 33. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 133814593 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -129*o - 63*o + 105*o.\nAnswer: -87*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*v - 5*w + 15, 0*w = 5*w. Suppose -43 = -l + 5*b, 0 = v*l - 2*b + 3*b - 49. What is the remainder when 31 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 54346 divided by -2415.\nAnswer: -54346\/2415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the third derivative of -5\/3*h**3 + 0*h + 0*h**4 + 0 + 1\/15*h**5 + 14*h**2. Let w(j) = j**2 + 1. Let o(g) = -s(g) + 5*w(g). Determine o(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - 8 = -2*w - 2*w, w - 4 = 3*b. Let r = -1 + b. What is the common denominator of (r\/4)\/(1\/89) and 17\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 105*r + 8646 + 36492 = 245478. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000658834 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Are 4\/16409863 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 1510 + 1150 + 1834 = -214*r for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 84426 times 67\nAnswer: 5656542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = n + 4. Let p be g(0). Suppose z + 11 = -2*w, -5*w + 14 = -5*z + 34. Which is the closest to 1? (a) -8\/7 (b) w (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2895 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 322646611.\nAnswer: 7, 46092373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 171 and 327.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2 - -1. Let r = 0 + l. Suppose 0 = -r*g + 5*f + 9, -2*f - 26 = g - 5*g. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 9922 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 3*z. Let s(q) = -2*q + 6. Let d(p) = -1. Let o(g) = 6*d(g) + s(g). Let c be (-1)\/(16\/12 + -1). Determine c*x(y) - 5*o(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*k - f + 13, 3*f - 3 = -2*k + 15. Solve -j - 19 = k*w, w = j - 2*j - 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 429 a factor of 3093717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Are 168118 and 168115 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 779016*l**2 + l - 239392 wrt l.\nAnswer: 1558032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6851393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/3, -3923, 2\/7 in decreasing order.\nAnswer: 2\/7, -2\/3, -3923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.2 (b) 121 (c) 1\/3 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-846)\/47*(-10)\/(-15)*-1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 7628*l**3 + 92*l + 9723964.\nAnswer: 22884*l**2 + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 16.21*-0.09\nAnswer: -1.4589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 38.042?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10704129.\nAnswer: 3, 3568043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 10 - 2 + 3176*h**2 - 3116*h**2 + 52*h.\nAnswer: 4*(3*h + 2)*(5*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 173290 is divided by 241.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 2621727 to the power of 1\/2, to the nearest integer?\nAnswer: 1619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide 3021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 15361 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 57*y - 3081. Determine k(54).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*a**2*r - 500957*a**2 - a*r - 5*a - 13*r + 116 wrt a?\nAnswer: -4*r - 1001914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) be the first derivative of -3*c**3 + 6*c + 9. What is the derivative of q(f) wrt f?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 827*i - 982535 = 328*i + 3262*i + 5932*i for i.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3847 - 3849 + 1411*i**2 + 714*i**2 - 584*i**2 to the form p*i**2 + z + g*i and give p.\nAnswer: 1541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 30 and 2070105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = j**2 + j + 5. Let y be -3 + (-8)\/(24\/(-9)). What is p(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = t**3 - 3*t**2 - 10*t - 1. Let r be w(5). Put r, -3, 0 in increasing order.\nAnswer: -3, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -5*i**2 - 15*i - 1. Let b be c(-3). Let m = -1664 + 374398\/225. Is m >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -96, 5, -0.4, -3, -1\/4 in decreasing order.\nAnswer: 5, -1\/4, -0.4, -3, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 158 minutes after 7:30 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 11*a**2 - 33*a**2 - 21*a**4 + 0*a**4 wrt a?\nAnswer: -504*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -204, 2\/13, 2\/7, -1.2, 3\/2 in descending order.\nAnswer: 3\/2, 2\/7, 2\/13, -1.2, -4, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:31 AM and 9:42 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b be (0\/1)\/(-8 + 9). Solve b*s - 8 = 4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = t + 2. Let r be 13*((2 - -5) + (9 - 6)). Suppose -3*o + r = t*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 15 (base 16) to base 3.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*v + 28*v = -6. Suppose -x - 3*b = -2*x + 218, -5*x - v*b = -1022. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 1556730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 28177062*a**3 - 25109404*a wrt a?\nAnswer: 169062372*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = a + 3. Let j be k(-3). Suppose j = -3*z - 3 - 3. Is 16 a factor of z\/(43\/(-21) + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -201233 (base 7) to base 15.\nAnswer: -a16e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a microsecond in nanoseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine z so that 2*z**2 + 862187384*z + 92920885641095432 = 0.\nAnswer: -215546846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wwwtgwg. What is prob of sequence ggt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - 7*n = -3*n + 12, -5*g = -2*n - 6. What is the common denominator of g - (83\/3)\/(24\/(-4)) and 69\/64?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 50 is divided by 34?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 92229985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 17.1007 litres in millilitres?\nAnswer: 17100.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 16322 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 5926983 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7066585, 7066590, 7066595, 7066600?\nAnswer: 7066605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -305 or -549517\/1802?\nAnswer: -305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 791932741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1.52 + -1.12. What is the fifth smallest value in -2\/3, 3, 5, -2, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 92.81471 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.10052 times 13234?\nAnswer: 1330.28168","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Calculate prob of sequence ttt when three letters picked without replacement from {x: 1, y: 1, t: 7}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*q - 4*q - q + 22 - 22 + q + (2 + 0 + 0)*(q + 0*q + 0*q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = -3*d + 48, -4*d = 3*a - 8*a - 53. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-3)\/4*140\/21*-3?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4469 - 4469.07404. Let l = -48.48404 - v. Let t = 49 + l. Round t to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 52092 is divided by 13017?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = 129 + -388\/3. What is the smallest value in 9, 5, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y. Let r(j) = 7. Let f(d) = 4*a(d) + r(d). Suppose -478 = 139*k - 1451. Let p(t) = 5*t + 8. Determine k*f(u) - 6*p(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 11176868?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 106708, 426713, 960040, 1706689?\nAnswer: 2666660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2677 + 8816. Suppose 30*r - n = 23*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2914*l**2 + 1 + 10*l - 1745*l**2 + 0*l - 11*l in the form i + o*l + n*l**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -23*s**6 + s**2 + 320.\nAnswer: -2760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 89537647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - 3) + -45 - (-10 - (7 + -14 + 5)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be -13 - ((-2460)\/9)\/20. Let v(h) be the first derivative of 25\/24*h**4 + 42 - r*h + 2*h**2 - 5\/2*h**3. Factor v(x).\nAnswer: (x - 1)*(5*x - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*j + 7*g = 17, -3*g - 8285 = -8282 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*l**3 + 788*l**2 + 800*l - 1584.\nAnswer: -4*(l - 198)*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1161*l**2 - 2312*l**2 + 0 + 1149*l**2 - 14.\nAnswer: -2*l**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -z**2 - 11*z + 29. Let l be o(-12). Suppose -2*t + 13*m - l*m + 1860 = 0, 3*t + 2*m = 2778. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5 - -33. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -42*t**3 + 59*t**2 + 109*t - 7. Determine m(-2).\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-192)\/128)\/((-8883)\/(-252)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7236*h**2 + 4377*h**2 + 6947*h**2.\nAnswer: 18560*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = n**2 - 3*n - 8. Let y be o(5). Solve 0 = y*v + 1 + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 5*w**2 + 20*w - 148. Let z(v) = -9*v**2 - 39*v + 248. Let o(p) = -7*n(p) - 4*z(p). Determine o(-14).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -28.5 + 29. What is the third smallest value in x, -0.6, 1\/6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 2 s when three letters picked without replacement from {j: 1, s: 2, f: 1, h: 4}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1.3 - 5.7. Let o = i + -0.6. Let s = -7.59999917 - o. Round s to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11285 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 83193748 is divided by 4590.\nAnswer: 4588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 2*v**3 - v**2 - v. Let t be (-3)\/(-18)*3*-2. Let a be u(t). Is 272\/28 - a\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-16)\/34*(-276)\/(-1840)*5.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = a**2 - 2*a - 1. Let c be d(4). Suppose c = 5*u - 6*u. Is u < -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-230)\/15)\/(2\/(-3)). Suppose s*a - 18*a = 325. Calculate the remainder when a is divided by (1 - 0) + (17 - 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5649*w**3 - 5716*w**3 - 21392*w**3.\nAnswer: -32757*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 2*d = -7926 - 26496, 0 = 5*r - 2*d - 172182. Is r a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.4284 - 0.1284. Suppose 0 = 5*c + 5, -3*n - 4 = -c + 1. What is the smallest value in d, n, -1, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 29, 4, -5 in increasing order.\nAnswer: -5, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 3, x: 2, j: 4}. Give prob of sequence fjjf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (644\/(-115) + (-1)\/(1\/(-7)))\/1 and 11\/116?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 131584 divided by -64.\nAnswer: -2056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 452961 is divided by 112866?\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(300) - sqrt(300)*-2 - 1*sqrt(12))*3)**2.\nAnswer: 21168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = -15.26 + 14.26. What is the closest to -2 in -2\/17, r, 1, 1\/12?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = i + 25. Let l be v(0). Solve l = 4*t + t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -83 divided by -4\nAnswer: 83\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:11 AM and 7:15 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -14421433110 (base 5) to base 15.\nAnswer: -1a6b905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify u\/u**(-4\/3)*u*(u**(-4)*u)\/u*(u\/(u*u**(-5)\/u)*u)\/(u\/(u\/(((u\/u**(-2\/9))\/u)\/u*u))*u) assuming u is positive.\nAnswer: u**(46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*g - g + 15. Suppose 3*s = 9 - 3, -g*t + 50 = s. Suppose -p + t = p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18 less than -14295.740088197?\nAnswer: -14313.740088197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**18\/o)**9 assuming o is positive.\nAnswer: o**153","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*u + 2*u - 4. Let d = u + 4. Let p = 0.0651 + -0.3651. Which is the nearest to -1? (a) d (b) p (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 3 + 2 = -p, 4*p = k + 1. Let w = -670.44 - -5.44. Let r = w + 665. Put p, r, -3 in decreasing order.\nAnswer: p, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12344.7 take away -244?\nAnswer: -12100.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1.6 + 1.8. Let t = -7002\/17 - -412. What is the closest to v in 5, t, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t = -4*w + 44, -3*w + 2*t + 16 = w. Suppose -33 = -i - w. Let x be (-53)\/(-5) + i\/(-45). Which is the second biggest value? (a) -0.2 (b) x (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1584 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-two thirds of a hour in minutes?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2.63 + -10.47. Let b = 13.71 + d. Let i = b + -5.41. What is i rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4562844 = 344*y - 500*y. What is the remainder when y is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -164*b - 8 + 1 + 74*b + 70*b.\nAnswer: -20*b - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 1 = -3*q + 17, 3*w = -3. Suppose -413 = 2*r - 6*r + q*m, 4*m = 12. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 0\/(2 + -6 - -6). What is the biggest value in 1, 3\/8, -5\/4, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 64 and 2135.\nAnswer: 136640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = s**2 - 17*s + 3. Let d be z(17). Let a(b) be the second derivative of -1\/12*b**d + 7\/48*b**4 - 6*b + 0*b**2 + 0. Suppose a(u) = 0. What is u?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14\/13*(((-5)\/(-2))\/(111 + -112))\/(-5)?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*3*(sqrt(200) + -2*(sqrt(200) - sqrt(200)*-5) + sqrt(200) + (-1 + sqrt(200))*1)*1*2)**2.\nAnswer: 162000*sqrt(2) + 14580900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -1019*k**2 - 33*k. Let x(g) = g. Calculate x(r(j)).\nAnswer: -1019*j**2 - 33*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -115355870 - 5?\nAnswer: -115355875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = g**3 - 4*g**2 + 2*g - 5. Let z = 18 - 14. Let q be d(z). Let v = -34 - -36. Solve -q = x + w + v, 0 = -2*w - 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) be the second derivative of -f**2 + 23*f + 1\/3*f**3 + 1 - 1\/20*f**5 + 1\/4*f**4. Give k(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 12*v. Suppose 3907 = -20*a - 2093. Let t = a + 299. What is m(t)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.035*6\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12\/63*69*((-228)\/(-36) + (-4)\/(-6)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 4*g. Let n(u) = -4558*u + 159*u**2 + 4558*u - 10*u**2. Give n(h(x)).\nAnswer: 2384*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -309d + -2bd?\nAnswer: -337c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (4 - 9) + -4 + 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 7 (base 14) to base 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-18)\/(-4)*(-80)\/(-45).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u + 581*k - 582*k = -7, 3*u - 15 = -6*k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 273 times -196354\nAnswer: -53604642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 0*x - 120 - x - x + 120. Calculate d(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 356*w**2 - 170*w + 1199. List the prime factors of h(7).\nAnswer: 31, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8*(-1)\/(-6)*9?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -3*d + 4. Let x(a) = -10*a + 13. Let y(s) = 7*v(s) - 2*x(s). Let h be y(4). Let j be (-2*h\/8)\/(-1). What is the second biggest value in j, -5, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -43 and 268537.\nAnswer: 268494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -3 less than 2295.72524?\nAnswer: 2298.72524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j be 135\/(-12) + (-3)\/4. Let b = j - -27. Solve 0*s = 3*s + b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -44*j**2 - 6*j**3 + 600 + 108*j**2 + 10*j**3 + 340*j.\nAnswer: 4*(j + 5)**2*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28140 divided by -938.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 4 = -l. Suppose -4*x + 16 = -l*x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 360 + -3589\/10. Which is smaller: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3 + 14. Suppose -4*o - 5 = -5*a + 11, 5*o - 4*a + m = 0. Suppose -2*y + 5 - o = 0. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 82*w = -83*w + 52, -3*c + 5*w + 20 = 0. What is the third derivative of 122*d**3 + 13*d - 6*d - c*d**2 - 60*d**3 + 121*d**3 wrt d?\nAnswer: 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -6*t + 6. Let f(s) = -s**2 - 5*s + 5. Let z(l) = -6*f(l) + 5*m(l). Let x(a) = 6*a. Give z(x(d)).\nAnswer: 216*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1919 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*j**3 - 117*j**2 + 636*j - 288 = 0. What is j?\nAnswer: -24, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n = 4*n. Suppose n = -l - 3*d + 7*d + 9, -10 = -l + 5*d. Let h = 142 - 137. What is the highest common divisor of l and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5*c**3*d + 5*c**2*d + 2*c wrt c?\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 101*t - 149*t - 532*t + 20300 = 0 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = 5*h + 8. Suppose -2*j - 60 = 3*x + 67, -h*j = -5*x + 167. Let d = j - -74. Which is the second biggest value? (a) -1\/39 (b) 2\/19 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 10*(6\/(-2) + (-216)\/(-60)). Suppose x*g - 4450 = -4*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 9*f - 4*f - 10 = 0, -6*w - 2*f + 68 = 0. Solve 3*n = -w*h + 8, 0*h - 2 = -3*h - n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0*-18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*n**2 + 24 - 27*n - 50*n + 81*n to the form p*n + v*n**2 + f and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -2*u**3 + 26*u**2 - 17*u + 12. List the prime factors of o(12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -s**2 - 5*s - 3. Let z be q(-5). Let m(v) = v**3 + v**2 - 3. Let d be m(z). Let o = d + 23. Solve 0 = -o*y - 3*c + 16, -3*c = 3*y - 23 + 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*u**4\/13 + 12*u**3\/13 + 48*u**2\/13 + 4*u + 18\/13.\nAnswer: -2*(u - 9)*(u + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p - 4503*x + 4514*x = -51 - 34, -p - 62 = 3*x - 4*x for p.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand 10*w + 99*w - 17469 + 17469 + (5 + 7 + 24)*(3*w + 3*w - 2*w).\nAnswer: 253*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 50585 + 9391 = 0. List the prime factors of (18\/12)\/((-27)\/k).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2147, -2150, -2151, -2150, -2147, -2142, -2135?\nAnswer: -2126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.09099*-1732.\nAnswer: 157.59468","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Convert 660000 (base 7) to base 10.\nAnswer: 115248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.23 - 0.07. Let d = 16.3 - -4.7. Let y = 16 - d. Which is the closest to j? (a) -0.3 (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-56)\/(-35) + -2)\/(9\/(-5))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 1984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 77021927 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 151654110.\nAnswer: 2, 3, 5, 17, 103, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r + 6*r + 8 = 10*f, 3*f - r = -0 - 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + (-3 - ((-4 - -2) + -6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00006254 to 6 decimal places.\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11101110111111011011 + -1?\nAnswer: -11101110111111011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f**3 + 40*f**2 + 1292*f + 1248 = 0 for f.\nAnswer: -13, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 22\/(-55) - 9\/(-15)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -422906834*n - 356037360?\nAnswer: -422906834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 6 = -6*g. Let s(q) = 4*q**3 + 2*q**2 + q. Let k be s(-1). List the prime factors of -1 + k + g - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -32*x**3 - 8*x**2 - 15*x + 6. Let w(r) = 2*r**3 + 2*r**2 - 2. What is -3*w(i) - z(i)?\nAnswer: 26*i**3 + 2*i**2 + 15*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 201, 191, 159, 93, -19, -189, -429?\n\"Answer: -2*u**3 + u**2 + u + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11 + (-21)\/(231\/209).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -55*n - 11. Let b be d(-2). Let u(z) = -36 - b*z**2 + 36 - 108*z**2. Let p(h) = -2*h. Give u(p(t)).\nAnswer: -828*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -107 - 0?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -15, 123, 30, -3.\nAnswer: -15, -3, 30, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 89, 144, 189, 218, 225, 204?\n\"Answer: -t**3 + t**2 + 59*t + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - 2318 = 2*q - 864, 5*y + 2*q + 1819 = 0. What is the common denominator of 103\/22 and y\/330 - (-3)\/9?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.811 - -1.032. What is the second smallest value in 0.2, -0.5, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/(l\/l**(-2)))\/l)\/(l**2*l)*(l**(-2\/3))**24 assuming l is positive.\nAnswer: l**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = 4*l - 17. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 60080 (base 11) to base 3\nAnswer: 11110121211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((-1014)\/56 - (-151)\/(-1057))*-244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 25\/4 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -26112 (base 8) to base 2.\nAnswer: -10110001001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000010449112 to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1*-3*(-10)\/6. Suppose d = m - 2. What is the third derivative of -k**d + k**2 - 2*k**3 + 2*k**3 wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1.6 (b) 0.5 (c) 291 (d) 2 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 i and 1 o when four letters picked without replacement from iooioiiiii?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -2267 less than or equal to -209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 11404?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -351.7? (a) 4 (b) -3 (c) 16.64 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 178 a factor of 690136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b**3 + 34*b**2 - 57*b - 223. Calculate d(32).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 175 and 5670?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 15192 and 24.\nAnswer: 15192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-5)\/o)\/((o**2\/o)\/o)*(o**1)**9 assuming o is positive.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*m**2 - 59136 + 59136 - 5*m.\nAnswer: -6*m**2 - 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gggc when four letters picked without replacement from dccgeeecgcdeddgedde?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 7.321079 meters?\nAnswer: 7321.079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 267862297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.4 + -4.4. Let u = -2 + -1. Let d(v) = -6*v**2 + 3*v - 2. Let y be d(1). Put u, y, w in ascending order.\nAnswer: y, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (3 + sqrt(931))**2.\nAnswer: 42*sqrt(19) + 945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 202494*j - 973432*j - 615878*j.\nAnswer: -1386816*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 7*m - 63. Let i be y(9). Suppose i = 17*w + 23*w - 29*w. Let a(s) = -s + 5. Give a(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1351*y = 2335*y - 254 - 730 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from crrlrrl. Give prob of sequence clr.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 10180097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 46353?\nAnswer: 3, 15451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-86)\/(-6) + 6\/9. Let u = 186 + -171. Is a smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -224 - -271. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a + 0*a + 174*o - 172*o = -2, 2*a - 4 = 4*o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 8*j*n**3*o - 18*j*n**2 + 37*j*o - 33*j + n**3*o - 5*n**3 wrt o?\nAnswer: 8*j*n**3 + 37*j + n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-6)\/(-2))\/((-12)\/(-8)). What is the third derivative of -l**5 - 6*l**6 + l**5 + 0*l**5 - 22*l**c wrt l?\nAnswer: -720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -139 + 162 + 6\/(-1) + 0 + -1\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh biggest value in -14\/187, 1\/3, -399, 0, 0.3, 1, 4?\nAnswer: -399","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 654866?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q be (2\/8)\/((-64)\/(-88832)). Which is the biggest value? (a) q (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1697.04 + 1741. Let l = -14.22 + v. Let f = -29 + l. Which is smaller: -1\/2 or f?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 2 f when three letters picked without replacement from fzzzazlzfazzzzzzazz.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2 + 3a494?\nAnswer: 3a496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*s + 35 = -3*s. Suppose 0*b - 465 = -s*u - 2*b, 3*b + 110 = u. What are the prime factors of u?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*q - 9*q - 16*q. Solve -3*a + q = 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -7316 < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 + 2*s**2 - 4)*(-2*s**2 + 6*s**2 - 2*s**2) - 21*s**2 - 52858*s**3 + 52858*s**3 - s**4 to the form z*s**2 + d*s + w*s**3 + p*s**4 + t and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 3*y = 0. Suppose y = 3*a + a - 848. Suppose 4*v = -s + 169, 4*v + s = -v + a. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 550804032 and 4071804.\nAnswer: 6058844352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 11652*l**2 + 7*l + 8. Let h be k(2). Let y = h + -2937775\/63. Find the common denominator of -143\/90 and y.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 3*f - 12. Let i(h) be the first derivative of h**2 + 27*h + 1. Let p be i(-11). List the prime factors of o(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1110 + 3?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 65 (base 16) to base 13\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 10\/11? (a) -2\/17 (b) 0.2 (c) 0 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -12*s**3 + 108*s**2 - 4*s + 33. What is r(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 44*q**2 - 35*q + 18. Is u(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 67247511?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 6*255\/(-3240) - (-4)\/18?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = m**2 - 13*m - 37. Let d be (-685)\/(-45) - (50\/(-18) + 3). Give k(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -k**3 - 19*k**2 - 87*k - 3. Let y be t(-11). Sort -98, y, 1.\nAnswer: -98, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3 (b) 0 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) be the third derivative of u**5\/30 + 32*u**2 + 2481*u. Let h(y) = -4*y**3 - 2*y - 1. Let a be h(-1). Let i(z) = -2*z - a*z - z. Determine i(r(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k*k**(2\/9)*k*k)**(2\/15))**(-1\/10) assuming k is positive.\nAnswer: k**(-38\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 18991 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -t**5 + t**2 + t + 2. Let n(c) = 47*c**5 + 50*c**4 - 8*c**3 - 5*c**2 + 3*c + 6. Let o(d) = -3*l(d) + n(d). Suppose o(g) = 0. Calculate g.\nAnswer: -1, -2\/5, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 21.56 - 22. What is g rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 3*f + 508 = -136, 4*f = 5*y - 3163. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that -14*g**4\/5 - 78*g**3 + 266*g**2 - 210*g + 124\/5 = 0.\nAnswer: -31, 1\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00369084 rounded to 5 dps?\nAnswer: -0.00369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + 3 + (3*sqrt(240))\/(2*-3*sqrt(3)).\nAnswer: -2*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5 + 25*v**2 + 16 + 5 - 27*v**2 + 5*v - 6.\nAnswer: -2*v**2 + 5*v + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1182 divided by 4.\nAnswer: -591\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 118 = i + 2*i, -2*i - v = -77. List the prime factors of i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -299 + 333. Let g(p) = -5*p + 2. Calculate the remainder when (-255)\/i*32\/(-1) is divided by g(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 3*o = -10 + 85, 5*o + 115 = -5*g. Let q be ((-52)\/(-12))\/((-1)\/g). Let s = -71 + q. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -792 by -2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m + 36 = -15*m. Is (-7 + 5)*((-26614)\/m)\/(-7) 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 e and 1 m when two letters picked without replacement from emmmeeeemmeee?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(3\/4)\/q**(2\/21))\/((q*q**(1\/2)\/q*q*q)\/q**3))\/((q**(1\/4))**(-7\/6)\/(q\/q**(1\/2)*q)**(-25)) assuming q is positive.\nAnswer: q**(-2019\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 29759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 18 - ((-107199)\/(-6020) - (-2)\/40)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.176*-0.04.\nAnswer: -0.00704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 3*p**2 + 151*p + 268. Let k be r(-49). Suppose 2*c - 4*w = 32 - 10, 5*c = -w + 44. What is the highest common factor of k and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 21 - -31102132120?\nAnswer: 31102132201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = -d + 5, -2*x + 3*d + 20 = -x. Calculate the lowest common multiple of x and (-10 + -1)\/(3\/(-3)).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -25*g**2*s + 4*g*s**3 + 29*s**3 - 7 wrt g.\nAnswer: -50*g*s + 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 3, -3293\/14 in increasing order.\nAnswer: -3293\/14, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 57 a factor of 4034315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u be (15\/17 - 1) + (-15)\/(193545\/46184). Which is smaller: u or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 31046 is divided by 478.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 5358681707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mmmkooo. Give prob of sequence om.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*i**2 + 7429412*i.\nAnswer: 2*i*(i + 3714706)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5661 + -5656. Solve -7 = 3*k - 5*k + h, 2*k = -h + q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = -5*y. Suppose y = -3*v + 9 - 3. Let p(r) = -r**2 + r**2 + r**v. Let k(t) = -3*t**2. Determine k(p(z)).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 + 4 + 2 - 19*y**2.\nAnswer: -19*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.46114 - 0.2611. Let v = t + -0.2. What is v rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -41\/25776 and -55\/10867806.\nAnswer: 86942448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*z = 22*z + 28. What is the first derivative of 2*n**3 + 75 + 29 - 9 + z*n**3 - n wrt n?\nAnswer: 18*n**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2, -4, 3\/2, -421?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 1001*m**2. Let c(w) = 158*w**2 + 161*w**2 + 155*w**2 - 477*w**2. What is c(b(v))?\nAnswer: -3006003*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1 - -2105442?\nAnswer: 2105443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 3) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1288843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1\/(37\/(-3) - -12) - (2 - 15). Is a smaller than 6.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = 8*t - 280. What is s(54)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*s + 0*s + 0*s)*(3 + 0 - 4) + 0*s - 2*s + 0*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = -178.000178 - -178. What is n rounded to five dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/(-3)*(-30)\/(-4). Let x(a) be the third derivative of 11*a**4\/24 - 11*a**3\/6 - 19*a**2. What are the prime factors of x(v)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 2*j**2 - 5*j - 1. Calculate l(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -h**2 - 2*h. Let b be c(-2). Let t = -2 + b. Is (1 + (-5)\/2)*t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-36*y - 54*y**3 + 36*y)*(-2*y + 2*y + 2*y).\nAnswer: -108*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -209446, 4, -316, -3 in increasing order.\nAnswer: -209446, -316, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 6190020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 = 2*f + 75. Let v = -15 - f. Solve -4*t + 0*w - 3*w = 23, -3*w - v = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(396) - (sqrt(396) + -1))**2 - (-1*sqrt(44))\/sqrt(4) - ((sqrt(121) - (sqrt(121) - -2*sqrt(121)))*6)\/(-5*sqrt(176)).\nAnswer: 1 + 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -9.4 + 9. Which is the third biggest value? (a) w (b) 1.6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*f**2*t**3 + 3*f**2*t + 20*f*t**2 + 6*f + 2*t**3 - t - 4681 with respect to f.\nAnswer: 4*f*t**3 + 6*f*t + 20*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve m - 4*h + 8 = 0, -2*m = -6*m + h + 13 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -1361, -5433, -12207, -21683, -33861, -48741, -66323?\n\"Answer: -1351*k**2 - 19*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v = -h + 13, 3*h + h + 8 = 0. Let i be v\/(-18) + (-3 - -2). What is the biggest value in -2, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*c - 35459 + 35405. Solve c*y - 1670 = -1628 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -71348, -7 in descending order.\nAnswer: -2, -7, -71348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2130 - -424241?\nAnswer: 430411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*h**3 - 19*h**3 + h**2 - 3*h**2 + 2*h**2.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8 - 8 + 4*q**2 + 0.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Multiply -452059 and -0.1.\nAnswer: 45205.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 6*n**3 + 2*n**2 + 2*n - 2. Let o(l) = 3*l + 3. Let b(j) = -2*j**3 - j**2 - 7*j - 5. Let q(i) = -3*b(i) - 6*o(i). Give 4*q(k) - 6*v(k).\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0\/3*2\/(-2)*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 16*h - 165. Let g be q(-5). Let t = g - -325. Calculate the highest common factor of 260 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 5672.31 and -0.19.\nAnswer: -1077.7389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 110 = 2*h - 38. Suppose 132 = 76*j - h*j. Calculate the remainder when j is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 14512 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1227, -1693, -2159, -2625, -3091, -3557?\nAnswer: -4023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (-253 + 114*y + 253)*(-1 + 1 + 1) as l*y + g and give l.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = -66 - -119. Suppose 0 = -4*y + b + j, -5*y + 3*b + 56 = -19. Suppose -2*k + 4*q + q + 8 = 0, 2*k = 4*q + y. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -661*i - 626. What is the units digit of q(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = -3*g - 6, -3*g + 3 = 2*g + t. Suppose -2*p + 19 = 3*d, -p + g*d = 2*d - 12. Suppose -5*x + 64 = -4*r, -2*x - p*r = 2*r - 48. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1134708121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 434*b. Let r be y(8). Suppose 4*z - r = 924. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -814 times -6?\nAnswer: 4884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21436788.\nAnswer: 2, 3, 19, 167, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-9 - 1)\/(3 + -4). Suppose 4*f = -i + 26. Solve d + 1 = f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -u**3\/2 + 912*u**2 - 414042*u - 1670792.\nAnswer: -(u - 914)**2*(u + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1027266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 26*d**3 - 337*d**2 - 171*d + 2011. Calculate n(13).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) be the first derivative of -h**3\/3 - 9*h**2\/2 - 7*h - 11. Determine o(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2633341 is divided by 333?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = 127 + 48. What are the prime factors of k?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 88, 76, 64?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5)\/(-90)*-4 + 4\/(-9).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -22 + 25. 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 is -3 divided by 53749?\nAnswer: -3\/53749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 0.54, -141.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 6*i**3 - 3 - 2*i**3 - 3*i**3 - 3*i**3 as t + l*i**2 + j*i + z*i**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0, 3\/4, 0.4, 44\/3, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*j**2 + 6*j + 23353 - 23353.\nAnswer: -9*j**2 + 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that -4*k**3 + 238772*k**2 - 2864508*k - 10742580 = 0.\nAnswer: -3, 15, 59681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0 + -3 + 1 + (-12)\/(-2). Suppose 5*r + 11 = x, 2*x - 2*r = 3*x + 17. Sort -5, m, x in decreasing order.\nAnswer: m, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 230\/138*4*(-1)\/(-4)*6\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 349331?\nAnswer: 349331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-3 + sqrt(405) + -1 - sqrt(405)) + -1 + (sqrt(405) + sqrt(405)*1 + 5 - (sqrt(405) - -6*(sqrt(405) + 0))) + 0)*-4)**2.\nAnswer: 162000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aa when two letters picked without replacement from dddaddddaddd?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that -5*s**4 - 50*s**3 - 75*s**2 + 250*s + 280 = 0.\nAnswer: -7, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 118538 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide -594 by 9.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = -11.7 + 13. Let g = i - 0.3. Let d = 20\/9 + -46\/45. Which is the second biggest value? (a) d (b) 0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 139\/51597600 and -169\/103195200.\nAnswer: 103195200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sssfkfyysksrykysekf. Give prob of picking 2 y, 1 s, and 1 f.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (0 + sqrt(98) + 5)*-5)**2 + 4.\nAnswer: 1680*sqrt(2) + 3030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 0.073 * 4\nAnswer: 0.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange k**4 - 1322*k**2 + 1095*k**2 - 2*k + 2*k**3 - 2 + 1020*k**2 to s*k**4 + a*k**2 + g*k**3 + c*k + f and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -486, -483, -480, -477?\n\"Answer: 3*t - 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*u + 4*h + 359, 40 = -3*u - 4*h + 407. Calculate the remainder when 254 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-4 + sqrt(128)) + -5*(-4 + sqrt(128))**2.\nAnswer: -728 + 336*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 3365279527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 19*g**2. Let j(o) = -o**2 + 2*o - 12. Let v be j(8). Let p be 284\/6*v\/(-40). Let a(i) = -4*i + 71 - p + 2*i. Give a(h(z)).\nAnswer: -38*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -3723*w + 3703*w = 140 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*((d**(-1\/2)\/d)\/d)\/d)\/d*d**(-7))**(-32) assuming d is positive.\nAnswer: d**336","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j be (26\/12 + (-1)\/(-3))*2. Solve -4*p + j*k = 9 + 23, 5*p + 4*k = 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(sqrt(22)\/(sqrt(44)\/sqrt(4)) - ((-2 + sqrt(2))**2 + 1)) - (-1 + sqrt(400)\/sqrt(8)*-5)**2.\nAnswer: -1258 - 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6572 is divided by 173?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1682, 1755, 1828, 1901, 1974?\nAnswer: 2047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = -333\/7 + 1013\/21. Suppose -z + 3*w + 5 + 2 = 0, 4*z = -w + 41. Put 1\/4, z, j in decreasing order.\nAnswer: z, j, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, 1, 3\/5, -2\/25, 0 in ascending order.\nAnswer: -0.5, -2\/25, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -g**5 - 26905*g**3 - 64504*g**2 wrt g.\nAnswer: -60*g**2 - 161430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 95147806063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 3*((-938)\/819 + (-1)\/13)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55*l = 54*l. Suppose l = 3*q + 5*q - 152. Let v = -21 + q. Sort 13, -1, 3, v in ascending order.\nAnswer: v, -1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 50 - 3*a**2 + 51 - 152 + 51.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 88172?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 21, 47, 91, 153, 233, 331, 447?\n\"Answer: 9*n**2 - n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -26 - -27. Suppose -5*x = 4*m - 5*m + l, -4*m - 5*x = -29. Solve m*a = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 23 + -25. What is the remainder when 51 is divided by 12\/(-8)*(-22 - a)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 25*u**5 - 190*u**4 + 360*u**3 = 0. Calculate u.\nAnswer: 0, 18\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -108, -234, -360, -486?\n\"Answer: -126*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*(p*p*p**(-5\/3)*p)\/p*p\/p**(-1\/2)*(p**1*p)\/p**(-4))\/((p*((p*p**(-1))\/p)\/p)\/((p\/p**(3\/4))\/p)*p**(1\/6)\/(p*p**(-3\/4))) assuming p is positive.\nAnswer: p**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i be (3\/(-2))\/((-11)\/22). Suppose 3*x - 6 - i = -2*g, 34 = 5*x - 3*g. Let a = x + -5. Solve a = b - 4*m + 12, -2*b - b = 3*m + 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) be the first derivative of o**5\/240 - o**4\/16 + 5*o**3\/24 + 10*o**2 - o + 85. Let u(f) be the second derivative of y(f). Factor u(s).\nAnswer: (s - 5)*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-180297)\/(-35443) + -3 + 1 + -3?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 237 (b) -35 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 18 = 22. Suppose 5*c = 3*q + q - 80, 2*c = -2*q + 40. Let f = q + j. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.5 (b) -2\/11 (c) 96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j + 9 = -18*i + 17*i, 12 = -3*i - 3*j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((3\/5)\/1)\/(19\/(-95))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6 + 0 + (-577)\/115 - (10 + -1)) + 8?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 1, -1, -49 in increasing order.\nAnswer: -49, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1415 + 2395. Is -1 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1111000000000 - -11000?\nAnswer: -1110111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 2a9 + -143b?\nAnswer: -1152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l - 2*v + 14 + 40, -5*l + 2*v + 46 = 0. Suppose -2*s - 3*s = l. Let c(x) = x**3 + 2*x**2. Give c(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = l + 2*k - 3, -5*l = 3623*k - 3622*k + 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1169*z**3 + 573655*z**2 - 573655*z**2.\nAnswer: 1169*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 1 + 2)*(4 + 3 - 5)*(-6*m**4 + 3*m**4 + 0*m**4 + (m + 0*m - 3*m)*(0*m**3 - m**3 - m**3))*(4*m + 0*m - 2*m).\nAnswer: 4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(891) + -1)*4 - 5*1*sqrt(891))**2 - (-3 + -1 + ((-2*sqrt(11))**2 - sqrt(11)) + -1).\nAnswer: 73*sqrt(11) + 868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2720 + 1785. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 90.5*5\nAnswer: 452.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = 6*i**2. Let j(a) = 3350*a - 2. What is j(m(f))?\nAnswer: 20100*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-46926)\/1535760 + 2\/(-45).\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3754 is divided by 1229?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -h**3 - 16*h**2 + 17*h + 11. Let j be a(-17). Which is bigger: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fxf when three letters picked without replacement from fffx?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4254\/(-9)*4*9\/96. Let s = m - -178. Sort -0.2, s, 0.4 in decreasing order.\nAnswer: s, 0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -40\/1777 and -29\/3218147.\nAnswer: 3218147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that -2*f**2 - 123489784*f - 1906215844045832 = 0.\nAnswer: -30872446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-10)\/(-125) - 1323806\/(-550)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -127265, -254529, -381793?\nAnswer: -509057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in twenty-one halves of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b be 6\/5*-9*(-360)\/27. Suppose 3*o = 2*l + 88, -o - 4*o + b = -4*l. 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 greatest common factor of 195 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1141567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + (1 + -9 - (41 - 44) - -20).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*l = -12*l - 20. Let x = -2 + l. Solve -x*q - 5*f = 35, -q + 5 = -0*q - 2*f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1*2\/12*4\/5.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -1307+-205830684\nAnswer: -205831991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 819 and 29393.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 10911661, 43646579, 98204775, 174586249?\nAnswer: 272791001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 11228940?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 4, y: 1, r: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 31861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-5)*(((f\/f**(-2))\/f)\/f)\/f*f**(-4)\/f**(-5\/6))**6 assuming f is positive.\nAnswer: f**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -323185*i*p**3 - 29*i*p**2 + 10529011*i + 4 wrt p.\nAnswer: -969555*i*p**2 - 58*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -809, -811, -823, -851, -901?\n\"Answer: -a**3 + a**2 + 2*a - 811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + ((sqrt(1300) - (sqrt(1300) + (sqrt(1300) - (sqrt(1300) - (sqrt(1300) + (sqrt(1300) + -1 - sqrt(1300))*3))))) + 4*(sqrt(1300) + 1*sqrt(1300)))**2.\nAnswer: 420*sqrt(13) + 63708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:17 AM and 2:52 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 66d (base 16) to base 3.\nAnswer: 2020221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put together -111603 and -50.5.\nAnswer: -111653.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/23 (b) 0.5 (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Add together -235 and 1.\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 48 and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f + 22493*m - 22490*m = 18, 2*m + 16 = 2*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1141614125 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 11.39 (b) -1\/4 (c) 1\/5 (d) 24\/11 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 - (-3 - 0)) + -3 + 3 - -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 709 - 702. What is the smallest value in u, 0.9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6552230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c be -26*(-1)\/(-2)*(-2446)\/8. Let y = c - 66039\/20. Let n = -662 + y. What is the common denominator of n and 77\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 6*z - 95. Let a be j(17). Let l(b) = 6*b - 1. Let c be l(1). Solve -3*y = a + c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1\/1624875 and 157\/464250.\nAnswer: 3249750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = 173 - 49. Suppose 0 = 6*t - 2*t - n. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -6*g + 3. Let s(w) = -7*w + 2. Let i(h) = 2*n(h) - 3*s(h). What is i(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1.4 - -9.2. Round w to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.1, 1, -1\/3, 0.21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -2*o**3 + o**2 - 3*o + 1. Is r(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) be the third derivative of -7*r**8\/48 - r**7\/10 + 3*r**6\/8 + 5*r**5\/12 - 137*r**2. What is i in z(i) = 0?\nAnswer: -5\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = r**2 - 2*r**2 + 0 - 2*r + 10*r + 2 + 1. Determine c(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2438696681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 73443*o**2 + o - 2*o + 7 - 5*o + 4*o. Let z be u(-3). Round z to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14.069 times 0.114?\nAnswer: 1.603866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q = 8*f + 16, -2*f = q + 3*f + 10. Solve 23 = 2*d - 0*d - 3*m, 2*m + 10 = q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-546)\/(-13))\/3150*15)\/(2\/(-6)*1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = j**2 + j + 1. Let b(n) = 17 - 2*n**4 + 7*n**4 + 5*n + 5*n**2 + 8*n**4. Let i(s) = -b(s) + 5*p(s). What is the first derivative of i(t) wrt t?\nAnswer: -52*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 2*b. Let l(m) = 565482*m**2. Give r(l(q)).\nAnswer: 1130964*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = -168 - -173. Suppose 370 + 495 = b*w. List the prime factors of w.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -26 - (-42 + (18 - 22) + 25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 11 in -3, 3\/5, 8045?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**3*m)\/m*m**(5\/7))**30*(m\/(m*m*m**0*m))**41*m\/(m*m\/(m\/((m**8\/m)\/m))*m)*m*m**(2\/5) assuming m is positive.\nAnswer: m**(834\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 1826899, 3653796, 5480689, 7307578, 9134463, 10961344, 12788221?\n\"Answer: -2*m**2 + 1826903*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 7*o + 3. Let b(t) be the third derivative of -t**4\/4 - t**3\/2 + 27*t**2. Give 6*b(s) + 5*v(s).\nAnswer: -s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-30)\/(-9) + -2)*3. Suppose -s*i + 0*i = -84. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -55 - -70. Suppose i*w = 11*w + 244. Let m = -45 + w. Calculate the greatest common factor of m and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5583 + -5576. Solve 0*n + 4*n - 3*l + 19 = 0, 3*n + 5*l = -u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*d - 35*d = -25. Does 25 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-15 - -14) + (-8)\/(-9))*2. Which is the nearest to -0.1? (a) 12 (b) -0.4 (c) w (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 224 + -147. Let d be (10\/(-3))\/((-4)\/(-6)*1). Let a(b) = b**3 + 5*b**2 - 7*b - 8. What is the remainder when w is divided by a(d)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - l = l - 66, -4*o = -5*l + 135. Let s = 2847 - 2848. Sort o, s, 3\/4, 1\/4 in decreasing order.\nAnswer: 3\/4, 1\/4, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.04405078 times 5.3?\nAnswer: 0.233469134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*((sqrt(136) - (5*(sqrt(136) - sqrt(136)*1) + sqrt(136))) + 1*sqrt(136)*2))\/(sqrt(400)\/sqrt(2) - (sqrt(96) - 2*sqrt(96))\/sqrt(12))*-3.\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 64 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Total of -408.766 and -48.\nAnswer: -456.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5, 0, 6, -1\/2, -19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 56 - 54. Let s(n) be the third derivative of 1\/70*n**7 + 0 - 5\/24*n**4 + 2*n**x + 1\/24*n**6 - 1\/60*n**5 - 1\/3*n**3 + 0*n. Factor s(b).\nAnswer: (b - 1)*(b + 1)**2*(3*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/(-32)*8\/(-12)*3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20247?\nAnswer: 3, 17, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3*b**2*n**3 - 63666*b**2*n*u**2 + 29*b**2*u**2 + 12*b**2*u - 2*b*u**2 - b - 2 wrt n.\nAnswer: 9*b**2*n**2 - 63666*b**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-54)\/(-126) + (-106)\/(-14). Suppose -a*r - 365 = -13*r. What are the prime factors of r?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 4*d = -4. Suppose -p = -5*l + 39 - 11, -l - 4 = 3*p. Solve -2 = k + d*j + j, k = -l*j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11*2\/(-4 + 38\/9) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 164997 from -3.2.\nAnswer: -165000.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -5958 at most as big as -5956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + -1*sqrt(68)\/sqrt(4).\nAnswer: -sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 3*c - 4. Let u(h) = -3*h + 4. Let k(y) = 3*l(y) + 4*u(y). Let d be k(-6). Suppose 0 = -0*z + 2*z - d. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4946 or 4940?\nAnswer: 4940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) be the second derivative of -d**4\/6 - d**2\/2 + d. Let h(v) = -v**3 + 11*v**2 - 11*v + 9. Let k be h(10). Let p be o(k). Is -1\/2 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0*l**4 - 20167*l**3 + 2*l**4 + 40341*l**3 - 2*l**2 - 20173*l**3 - 8 as p + o*l**3 + c*l + q*l**2 + z*l**4 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 45*r**2 + 36*r. Let n(w) = -13*w**2 - 10*w. Let c be (-81)\/6*124\/93. Let v(j) = c*n(j) - 5*t(j). Let h(k) = k**2. Determine -51*h(a) + 6*v(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 103*p + 452. Calculate the least common multiple of 25 and l(-4).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 318 = 414*b - 413*b. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -1241, -3828, -8141, -14180, -21945, -31436, -42653?\n\"Answer: -863*p**2 + 2*p - 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 107\/1176 and -19\/420.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1413696 and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 4 (b) -2\/5 (c) 9 (d) 0 (e) 184\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12022 + 0?\nAnswer: -12022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 8537, 0, -0.01, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:26 AM and 4:32 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/(k**(2\/3)*k))**50)**(7\/2) assuming k is positive.\nAnswer: k**(-350\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j**5 - 2*j**4 + 2*j**4)*(103 - 179 + 149).\nAnswer: -73*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t**3 - 22*t**2 + 73*t - 25. Suppose 0 = 56*b - 28*b + 700. What is the remainder when 27 is divided by p(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor l**3\/4 + 55*l**2\/4 + 64*l + 75.\nAnswer: (l + 2)*(l + 3)*(l + 50)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 4 (base 11) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 10202842 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -8*g + 8. Let p be b(3). Suppose w = 3, -z + w + 13 = -18. Suppose z = -2*m - 2*t, -4*m - 29 = -3*t + 46. Is p > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*h - 3*h + 8*h + 3*h - 4*h + 2*h + (-2*h - 5 + 5)*(1 - 2 + 0) - h + 5*h + 2*h.\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -0.2, 0.0371, 1, 3\/5, -5 in decreasing order.\nAnswer: 1, 3\/5, 0.0371, -0.2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -50773812 divided by -4231151\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 492 and 80287758?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-303 - -272) + (17 - 0) - (3 + -9)) + 47.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 567 and 24570.\nAnswer: 73710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -c**2 - 21*c + 46. Let m be b(-23). What is the fourth smallest value in -1\/5, m, 18, -5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*i**2 + 29*i**3 - 31*i**3 + 10*i**2.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -23 * 28352\nAnswer: -652096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -6*a**6 + 458*a**5 + 7*a**4 - 1831554*a**2.\nAnswer: -720*a**3 + 27480*a**2 + 168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-3)\/(-9) - 2352\/(-18)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 3*f + 15. Let v be i(1). Calculate the greatest common factor of 414 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 61, 75, 89, 103?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 46, 1, -0.05 in descending order.\nAnswer: 46, 1, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t be -10*8\/(-20) - 0. Suppose 3*h - 7*h + t = u, -u + 3 = 3*h. Solve 10 + u = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/10177404007 or 0?\nAnswer: -2\/10177404007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*j - 2*j - 8. Solve 9 = j*k - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 41*j - 13. Let g(s) = 12*s + 15. Let b(p) = -7*p - 9. Let q(c) = -10*b(c) - 6*g(c). Calculate f(q(m)).\nAnswer: -82*m - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 184*s - 1691*s**4 + 2*s - 176*s - 945*s - 738*s wrt s?\nAnswer: -20292*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:19 AM and 7:30 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 27766*a**4 + 1160378?\nAnswer: 111064*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -244 - -2801. What are the prime factors of o?\nAnswer: 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 296 is divided by 149.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -8*q**3 - 101*q**2 - 4*q. Let n(z) = z**3 + 15*z**2 - z. What is 6*n(m) + r(m)?\nAnswer: -2*m**3 - 11*m**2 - 10*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*o**3 - 5*o**3 + 4*o**3)*(0 + 4 - 2)*(0 + 0 - o + (2*o + o + 2*o)*(0 - 1 + 0)) - o**4 - 2*o**4 + 2*o**4.\nAnswer: -13*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vvvvll. Give prob of sequence vll.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/4 of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -47 - -49. Factor -3*g**5 - 3*g**5 + q*g**5 + 4*g**3 + 4*g**4 - 4*g**2.\nAnswer: -4*g**2*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 11 + -13. Let l = f - -1. Let p(s) = -6*s + 1. Give p(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bvbv when four letters picked without replacement from {b: 6, v: 2, h: 6, t: 4}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m be (12\/15)\/(14\/10). Which is the nearest to 0? (a) -0.1 (b) m (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.18 + 0.32. What is the nearest to 0.2 in -0.5, -1\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 104*h - 479 - 249 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -59837972 divided by -59837972\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = 60 - -42. Let q = 102.000117 - n. What is q rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 8240\/440 + -26 + (12 - 5)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 253, 498, 743, 988, 1233, 1478?\n\"Answer: 245*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -152848492.8438 + -0.2?\nAnswer: -152848493.0438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/2*x**4 + 4*x - 7\/2 + 3*x**2 - 4*x**3.\nAnswer: (x - 7)*(x - 1)**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1482.9 - -1483. Which is the second smallest value? (a) -2\/243 (b) z (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) be the third derivative of -1\/3*t**3 - 1\/16*t**4 + 0*t + 34*t**2 - 1 - 1\/240*t**5. Factor x(r).\nAnswer: -(r + 2)*(r + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 100 and 14178425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) -2\/117 (b) -2 (c) 26.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (12836*j - 267 - 25671*j + 12837*j)*(-3 + 3 + 1 + (-2 + 0 + 0)*(4 - 3 + 6)).\nAnswer: -26*j + 3471","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = -27.4 - -33. Round r to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2521*h - 68917 - 213245 = -3132*h + 1840*h for h.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (17361 + 36*z - 17361)*(z - z + 3*z**3) in the form k*z + f*z**2 + r + n*z**4 + i*z**3 and give n.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = -526228 + 526206.00057. Let u = -22 - j. What is u rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-l**4 + 2*l - 2*l)*((-1 + 1 + 5*l)*(-5 + 0 + 4) - l + l - 5*l + (-4 - 5 + 6)*(33*l - 26*l - 27*l)).\nAnswer: -50*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = x - 6. Let g be 4*(3 - 105\/20)*-1. Let z be (-2 - -4) + g\/9. Solve 2*d = 4*u + x, 6*u = d + z*u - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -m - m. Determine y so that -2 + m*y**2 + 2*y + 2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = f**3 - f. Let g(j) = j**2 + 6*j - 1. Let z be g(-5). Let u(w) = 3*w + 9. Let o be u(z). Let p be o\/(-6)*2\/(-3). Determine b(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 16 and 1280.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m - 4. Let h be g(-5). Let t(y) be the first derivative of 13*y**4\/2 - y**3\/3 + y**2 - y + 4. Does 13 divide t(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2 - -1. Suppose 41 = 4*y + 5*q - 24, 3*y - 40 = 5*q. Suppose 4*b - y + d = 0. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 45742700 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9905 and 1750.\nAnswer: 495250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of b**3*u**4 + 5944*b**3*u**2 + 29*b*u**4 - 56*u**3 wrt u?\nAnswer: 24*b**3*u + 696*b*u - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 1000 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 547 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*s + 8*s + s + 10*s.\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dl when two letters picked without replacement from tttldlttttlll?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 124 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 3 b when four letters picked without replacement from vggvcgsscbbbg?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x be 5\/30 - 41\/(-6). Suppose 1 = -s + 6. Solve -x + 2 = s*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c\/((c*c\/(c**0\/c*c))\/c))\/c*c)\/c)**(2\/5) assuming c is positive.\nAnswer: c**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = 19 - 18.905. Let y = t + -0.156. Let d = -0.05 - y. Round d to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -4 - -2*12\/8. Let d be (-11)\/(-2 + y + 2). Let z = d + 12. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -2*f - 12. Let s be g(-8). Suppose o - 10 = -s*o. Suppose -16 = -4*i + o*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(170)*3*-5 - (sqrt(170)*2 - sqrt(170))*5)\/(-2*(sqrt(250) + (-2*sqrt(250)*2 - sqrt(250)))).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2\/123 - -478\/861. Find w such that c*w**2 + 0 - 4\/7*w**4 + 2*w**3 + 0*w - 2*w**5 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 10\/37323*650 - ((-144)\/(-66) + -2)\nAnswer: -2\/261","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1b2 + -2e?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**(-1\/21)\/z**(-34) assuming z is positive.\nAnswer: z**(713\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f + 9. Let l(q) = q**3 - 8*q**2 + 4*q + 10. Let g be l(7). Let m be w(g). Let c be (12 - 3)\/(m\/(-10)). Solve b = -2*x + 2 - 8, -5*x - c = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 136325 and 239645?\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4.4 + 4. Let m = 274 - 262.1. Let r = m + -12. What is the nearest to r in s, 3\/5, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -24154*k**2. Let n(w) = -16*w**2. Determine x(n(l)).\nAnswer: -6183424*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 217351099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 50\/437 and 6\/87101.\nAnswer: 1654919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4\/7? (a) -0.17 (b) 8592 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -5444.50611 rounded to the nearest 10?\nAnswer: -5440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 4*l, 8*j - 3*j = 3*l - 2. Suppose 808 = 4*t + 4*u, 3*t = j*t + u + 194. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(((-5 + (1 + sqrt(76))*-1 + -5)*-2 + 4)**2 + -3).\nAnswer: 1040*sqrt(19) + 4885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-11)\/(-3) - (-3)\/9. Suppose 5*c + 14 = p. Let g be ((-3)\/4)\/(c\/152). Calculate the greatest common divisor of g and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**40\/((((h\/h**(-4))\/h*h)\/h)\/h))\/(h**(-39)\/h**(-3\/8)) assuming h is positive.\nAnswer: h**(605\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*v + 2*v - 25. Solve 4*i - 2*m + 3*m + 18 = 0, v*i - 2*m + 16 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = z**2 - 4*z - 3. Let d be o(5). Let i be (d - 1) + -72003 + 2. Round i to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 20 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -497 (b) -0.2 (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 368203 and 23270.\nAnswer: 47866390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 666535509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(252) - (5 + (sqrt(252)*-1)**2) - (sqrt(441)*6)\/sqrt(7)).\nAnswer: 60*sqrt(7) + 1285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand j - j - j**5 + (-4*j**4 - 4*j**4 + 4*j**4)*(-4*j + 3*j - 2*j).\nAnswer: 11*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = -417 - -808. Let f = x + -287. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) be the first derivative of r**3 - 9*r + 21. Let u(q) = -7*q**2. What is u(a(v))?\nAnswer: -63*v**4 + 378*v**2 - 567","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor 2\/3*c + 0 + 1\/3*c**2.\nAnswer: c*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 3*h - 3 = 0, 3*h = 5*p + 2 - 5. Suppose -5*c - 2*o + 234 = 0, -5*o - 150 = -p*c - 3*o. Calculate the remainder when c is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 < 0.1769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -54203516*p**3 - 132764414.\nAnswer: -162610548*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 5*z**2 + 40*z - 85. Let d(i) = 2*i**2 - 1. Let t(o) = -5*d(o) + q(o). What is s in t(s) = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -297*z - 6. Let d be n(1). Let t = 310 + d. Solve 3 = 4*l - t*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -2605 (base 11) in base 10?\nAnswer: -3393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 48, 70, 92?\n\"Answer: 22*u + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c = -2, 0 = -3*h - h + 5*c + 17. Let f be 1\/4 + (-1)\/4. Suppose p + 5*o = f, 3*p + 2*p - 21 = -4*o. Solve -9 = -p*b + 3*s, s = 5*b + 2*s + h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19941138 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -82, -62, -28, 20, 82, 158?\n\"Answer: 7*q**2 - q - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(16)*-2*3)\/(sqrt(648)*-2 + sqrt(648) + sqrt(8)))**2 + ((-1 + sqrt(128) + (sqrt(128) + -1)*4)*6)**2.\nAnswer: -14400*sqrt(2) + 928809\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -a**2 + 10*a - 12. Let w be (-2)\/6*(-6)\/4*16. Let m be g(w). Solve x - 3*x + 9 = 5*h, 2*x = -m*h + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a factor of 216288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 16) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from azrzrzgrapnaar. What is prob of sequence angp?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*n**4 + 130780*n**2 + 3*n + 30984347 wrt n?\nAnswer: 8*n**3 + 261560*n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (3\/(-462)*-4)\/((-13)\/(-273))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -57209\/24 - -7169\/3. Find the common denominator of (-205)\/(-36) + 8\/(256\/280) + -9 and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -209, -363, -531, -719, -933, -1179?\nAnswer: -1463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 8 in 2\/7, 21, 4, -3, -0.58?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = q**3 - q**2 + q + 4. Let i(x) = 2*x**2 - 16 + x**2 - 5*x**3 + 0*x - 4*x. Let r(t) = 2*i(t) + 9*z(t). Calculate r(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2 - 8*g**3 - 5 - 6*g - 18*g - 5 + 30*g**2.\nAnswer: -2*(g - 2)**2*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -156.516243 rounded to the nearest integer?\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.3 + -127.3976.\nAnswer: -127.6976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-2 + (-1107)\/(-546))*((-2)\/(-8))\/(575\/920)\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 193 + -297. Let c = x - -401. What is the remainder when c is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**27\/n**(-3\/7) assuming n is positive.\nAnswer: n**(192\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3 + 270617?\nAnswer: 270622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -11*m + 3. Let x be f(-4). Let l be (10\/8)\/(-10*10\/(-400)). Suppose -d = -l*d - 5*c + x, 9 = d + 4*c. What is the remainder when d is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (x**3 - 2*x**3 - 2*x**3)*(-3 + x + 3) + 0*x**4 - 4*x**4 + 0*x**4 to t*x + z*x**4 + o*x**3 + d + q*x**2 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 1595 (base 13) to base 7\nAnswer: 12140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 158713 is divided by 2343.\nAnswer: 1732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6395 + ((-42)\/(-49))\/(-6 - (-435)\/70)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 2*w - 7 = 0, -o - 4*w = -2*o - 17. Suppose -108 = o*n - 7*n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 201 - 201 + l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -m**3 - 13*m**2 - 11*m - 8. Let d be j(-10). Let g be (-6)\/(3\/(d\/(-4))). Let b be (-1)\/5 + g\/(-45). Solve b*c - 8 = 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3957 minus -6236712.02?\nAnswer: 6240669.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-k + 5*k - 2*k)*((-2*k - k + 2*k)*(108 - 8*k - 108) - 2*k**2 + 0*k + 0*k).\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = -4*l - 24, -25 = 3*h - l + 21. Let q be -5*1*h\/10. Let j be (-41 + 35)\/((-2)\/3). Which is smaller: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(28) + 1)**2 + -2 + sqrt(343).\nAnswer: 27 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -231965 divided by -97?\nAnswer: 231965\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o be -6*3\/(-9) + 0 + 1. Suppose -8*p = -o - 13. Solve h + p*h + 12 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -177 divided by -1713696?\nAnswer: 59\/571232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1978133 is divided by 861?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.18 - -37.18. Let r = -2134.64 + 2172. Let t = h - r. What is t rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -14\/443 + 1012\/3987. Sort a, -1\/7, -0.2, -1\/8 in descending order.\nAnswer: a, -1\/8, -1\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -515 = 59*q - 5707. What is the remainder when 93 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -654, 15, -15, -37 in descending order.\nAnswer: 15, -2, -15, -37, -654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 304139*y - 303965*y + 3 - 3.\nAnswer: 174*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*(h*(h*h**(2\/9)*h)\/h*h)\/h)\/(h\/(h*h**10)) assuming h is positive.\nAnswer: h**(119\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -77, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 2160*o**2 - o. Let b be p(-1). Suppose -5*j = -84 - b. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0, -0.1, -60, 0.198, -1?\nAnswer: 0.198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -24 - 11*w + 18*w - 4*w + 4 - 6*w to a*w + j and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ykkceeckkmkkkkkcmek. What is prob of sequence cykc?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = 1551*u**3 - 4*u + 4. Let d(t) = 35673*t**3 - 94*t + 94. Give 2*d(w) - 47*h(w).\nAnswer: -1551*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -145*z - 695. Let k be o(-5). Solve -32 = -2*g - k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.78 - -32.22. Let l = -6603 + 6606. Put -4, l, u in decreasing order.\nAnswer: u, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange p**4 + 269*p - 547*p + 20 + 271*p to g*p**2 + c + s*p**3 + m*p**4 + z*p and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -b - 25d?\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 87 + -47. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -45, -83, -121, -159, -197, -235?\n\"Answer: -38*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 180 = -0*m. Let n(f) = -29*f - 136. Let k be n(-5). Suppose 415 = k*o + 325. What is the remainder when m is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = 559*q**2 + 18*q - 36. Is m(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -11995700 to the nearest 10000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = -33 - -46. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 2868967, 5737936, 8606905, 11475874, 14344843, 17213812?\n\"Answer: 2868969*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 - 6 - (252\/420)\/((-3)\/32).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*sqrt(189)\/sqrt(7))\/(-1*sqrt(441)))**2.\nAnswer: 48\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kqqzqqfkq. Give prob of sequence zq.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/(-2))\/(768\/(-13312))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -58*z - 269 = -37 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(45)*-6*2*-5 + (sqrt(10)*-3*-4)\/(sqrt(72)*-2))**2.\nAnswer: 1463405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1975 - -3239. Calculate the highest common factor of 79 and r.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 9 and 620718?\nAnswer: 1862154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = j**3 - 9*j**2 + 4*j - 30. List the prime factors of v(13).\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6937767*s + 2 + 4 + 6940063*s to the form a*s + v and give a.\nAnswer: 2296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 31 = 2*s - 5*f + 5, 3*s + 7 = -4*f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i be -1099 + (90\/10 - 6). Let z = 1557 + i. Is 22 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8402, 8403, 8404, 8405?\nAnswer: 8406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2818 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -10 + 15. Suppose 3 - 11 = -v. Suppose x*b - 9 = 4*j - 1, -2*b + v = 0. Solve -4*o + o = -j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -397\/14 at least as big as -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -758, -740, -702, -638, -542, -408, -230?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-11)\/22)\/((-3)\/12). Let l = 401.4 + -401. Which is the closest to 36? (a) 2\/7 (b) q (c) l (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -12*d - 126 - 2\/7*d**2 = 0. What is d?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 37844.72g?\nAnswer: 0.03784472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(-2 + sqrt(3) + 0) + sqrt(24)\/(sqrt(8) + (sqrt(512) - sqrt(512)*-1) + sqrt(512)))**2.\nAnswer: -96*sqrt(3)\/25 + 4228\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 24 and 7332?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**4\/x**(-5))\/(x*x\/((x\/x**(1\/2))\/x))**(-16))**37 assuming x is positive.\nAnswer: x**1813","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 753 + (8\/(-48) - (-100)\/24).\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*q + 42 = -y, -22*y + 14*y + 3 = -7*y for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 250 by -250.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((sqrt(684) + 0 - sqrt(684))*-2 + -4 - (((2*sqrt(684) - sqrt(684)) + sqrt(684))*1 + sqrt(684) + 4))**2*6.\nAnswer: 3456*sqrt(19) + 74640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of d**4 - 3*d**3 - 35*d**2 + 93*d - 37363848 wrt d?\nAnswer: 4*d**3 - 9*d**2 - 70*d + 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 43 - 43.1. Which is the nearest to l? (a) -5 (b) -1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = a**3 + 15*a**2 - 262*a - 3133. What is d(-10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -5*v + 3*v + 11 - 2 - 2. Let p be c(0). Let a(l) = l - 15. Let x(n) = n - 15. Let k(b) = 4*a(b) - 5*x(b). What is k(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -487 >= -486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2276 + -2216. What is the second biggest value in -4, r, -5, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2416 is divided by 35.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 4}. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) be the first derivative of q**3 + 5*q**2 + 7*q - 1. Let n be t(-7). Is n - -1 - (-2 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 14 - 9. Suppose -y + 12 = -n. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.427235236 rounded to two decimal places?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 318 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -1578*g + 1576*g = -3*a - 2, g - 1 = -10*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 422*t**5 + 6*t**3 + 26422*t?\nAnswer: 8440*t**3 + 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 20598 - (4 + 1 - ((-12)\/3)\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -112012, -112075, -112188, -112357, -112588?\nAnswer: -112887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 100*a + 721. Calculate the remainder when t(-7) is divided by (-66)\/(-4)*4\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 2*g - 0*g. Let p = 51 + -47. Let h = p + g. Solve 0*b = -2*o + h*b - 1, 1 = 2*o - 5*b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*y - 228 = 11*y. Let r = -44 - y. Does 8 divide r\/13*(48 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5597*q**2*s*v + 17*q**2*v - 4*q**2 - q*s*v - 2*q*s + q*v + s*v - 4995*s wrt q.\nAnswer: 11194*s*v + 34*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38 = -2*w - 38. Suppose 0 = 4*i + 3*r - 1580, w*i = 3*i + r - 1185. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 178886 and -1?\nAnswer: -178886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 83*v**2 + 212*v + 1578. Is r(-7) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 126 - 126. Solve b = -3*m + 15 - 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22989954721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = -103*c + 99*c + 132414, -o + 26466 = 5*c. Does 41 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 566 + 212 = 0. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = 4*q + 8. Let y = 8 - q. Let l(n) = 2*n**y - 2 + 2. Let a(o) = -3*o. Give l(a(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -134*m - 272. Let q be s(-2). Let b = 3 - 9. Which is smaller: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*m**4 + 228*m**3 + 344*m**2 - 5280*m.\nAnswer: 4*m*(m - 4)*(m + 6)*(m + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -3180*b + 1477. Let q(g) = 15907*g - 7386. Let z(o) = 11*k(o) + 2*q(o). What is the first derivative of z(c) wrt c?\nAnswer: -3166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from aqzkamaahazhaaa?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2)\/(-7) + 108\/14. Let g(m) = -m + 10. Let p be g(l). What is the third derivative of 4*j**2 + p*j - j - j - 4*j**4 wrt j?\nAnswer: -96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -7*y**2 + 5*y. Let a(r) = 4*r**2 - 3*r. Let o(g) = -5*a(g) - 3*j(g). Let u(t) = 53*t. Determine u(o(l)).\nAnswer: 53*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor o**2\/2 + 247*o + 61009\/2.\nAnswer: (o + 247)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:06 AM and 11:46 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 7036 + 4566 + 326 = -213*m for m.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -83\/10 and -28\/59.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*((-4*(sqrt(363) + 0)*3 - (1 + sqrt(363) + 0 + sqrt(363) + 4)) + -5)*5)**2.\nAnswer: 2772000*sqrt(3) + 64123200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 12 + 6. Suppose i = 2*i - d. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 1 = 4. Let b = s + 52. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 7965, 15932, 23899, 31866, 39833?\n\"Answer: 7967*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 49403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 3*k + 23. Let c be u(26). Let j = c - 79. Let p be (0 + j\/8 + -3)*-28. Solve 3*f + p = 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -16\/7*v**2 + 40\/7*v + 2\/7*v**3 - 32\/7.\nAnswer: 2*(v - 4)*(v - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-42*r**2 + 9*r**2 - 28*r**2 + 2*r**2 - r**2 + 12*r**2 + r - r**2 - r + (-r + 0*r - r)*(-2*r + r + 2*r) - 2 + 2 - r**2)*(-4*r**3 + r + 4*r**3 - 2*r**3).\nAnswer: 104*r**5 - 52*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33*r = 34*r - 30. Let y be (r\/(-3))\/(3\/174). Let h = -405 - y. Is 46 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3374222 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -19098725 divided by 1.\nAnswer: -19098725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(2\/7))**(-48)\/(s*s\/s**0)**7)\/(((s*s**3)\/(s**(-3\/2)\/s))\/(s**(6\/5)*s**(-5))) assuming s is positive.\nAnswer: s**(-2661\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 0 (b) 4 (c) 3 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in one eighteenth of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1810 is divided by 189?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = -7978907993\/2070 + 3854545. Find the common denominator of k and -52\/15.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 11550, 11582, 11656, 11790, 12002?\n\"Answer: 3*s**3 + 3*s**2 + 2*s + 11542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 40*g**2*p**3 - 826*g**2*p + 27253*g**2 wrt p?\nAnswer: 120*g**2*p**2 - 826*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(1*sqrt(60)\/sqrt(3))\/(-2*sqrt(196)).\nAnswer: -3*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 77075 = c, -4*v - 4*c + 47176 = -14484. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -24*q. Let m(c) = 59*c**2. Give y(m(s)).\nAnswer: -1416*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (-5 + 5 + 3*o**2)*(3*o - 3*o - o**2) - 5*o**4 - 7*o**4 - 14*o**4 in the form x*o + n*o**4 + l*o**3 + r + u*o**2 and give n.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) be the first derivative of -21*x**2 - x - 2. Suppose 28*q + 243 - 377 = 286. What is the remainder when h(-1) is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 31202 is divided by 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 1603 - 1610 - c + 79*c**2 - 78*c**2. Determine u(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-3\/2)*a**5)**(-1\/60) assuming a is positive.\nAnswer: a**(-7\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -6 (base 15) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2444 divided by -5.\nAnswer: -2444\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3 + 3d?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4 + -1 + sqrt(11) + sqrt(11))*2)**2.\nAnswer: -80*sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24*a - 62 + 62 + a**2.\nAnswer: a**2 - 24*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1840, 1827, 1810, 1789, 1764, 1735?\nAnswer: 1702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**2\/t**(-4))**(-1\/3)\/(t**(4\/9)\/(t\/(t\/(t*t*t**(3\/10)*t))))**18 assuming t is positive.\nAnswer: t**(247\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 4 = 4*l, -4*l + 3 = p + 1. Suppose 3*o - p*t = -6, 2*o + 5*t - 15 = 3*o. Suppose -g + 43 + 36 = o. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2218316788 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 421739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 207 minutes after 8:43 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 minus -43537?\nAnswer: 43537.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 35*b*c**2*z - b*c**2 + b*z - 284*c**2*z wrt b.\nAnswer: 35*c**2*z - c**2 + z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5)\/(-24)*(27 - (11 + 12)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 4*w = 32. Find the second derivative of 59*i - w*i + 4*i**5 - 53*i wrt i.\nAnswer: 80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cze when three letters picked without replacement from {e: 4, z: 3, x: 3, g: 1, c: 2, t: 4}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -g + 3*s + 17, g + 4*g = -4*s - 10. Suppose -g*f = -4*h + 38, 0*h + 5*f - 25 = -2*h. Is h*((-4)\/(-2) - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-35 - -13) + 1 + -3. Let a(y) = -29*y + 17. What are the prime factors of a(m)?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 710264 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 59, 108, 157, 206, 255, 304?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -11*s**3 + 9*s**2 + 3*s + 1. Let p(j) = 8*j**3 - 9*j**2 - 4*j - 3. Let t(o) = -3*f(o) - 4*p(o). Suppose -a = z + 3, 0 = -z - 0*z + 5. Calculate t(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 53 - (-61 - -84 - -30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b = 4*b - 76. Let u = 22 - b. Solve 2*m + 2*m = u*a + 1, 0 = -5*m - 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = b**3 - 7*b**2 - 13*b + 2. Let z be u(9). Suppose z + 73 = 5*a. Solve 0 = -2*o + y + 11, y + 3*y = 4*o - a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 520 divide 304662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = -333.00272 - -333. What is j rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that -u**3\/4 - 49783*u**2\/4 + 298729*u\/4 - 248945\/4 = 0.\nAnswer: -49789, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*sqrt(1088) + (sqrt(68)\/sqrt(2))\/sqrt(2).\nAnswer: -23*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-25)\/14 + (-559)\/(-301).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 24*(-2)\/(-45)*5. Find q such that -r*q**3 + 8\/3*q**5 - 4\/3*q**2 + 8\/3*q + 2\/3*q**4 + 2\/3 = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -347 divided by 5.\nAnswer: -347\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -256*k**2 - 1018*k + 5. Determine o(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + 0 + sqrt(32) + 4 + sqrt(32) + sqrt(160)\/sqrt(5) + sqrt(32) + 4)**2.\nAnswer: 352*sqrt(2) + 633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 34801069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 1\/4 of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1*-1*(-4 + 3). Let w be 66\/((-3)\/2 + m). Let k = -63 - w. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-6 - 15\/(-2)) + (-2835)\/(-18) is divided by 79?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 3*m**2. Suppose -56 = -0*h - 2*h. Let p(k) = -28 - k - k + h. What is t(p(u))?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1079)\/(-156) + -4 + 3\/72*2. Solve -7*f + 3*f + z*i + 11 = 0, -3*f + 2 = 4*i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -11 - 1202334402?\nAnswer: -1202334413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1581 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 26526 (base 12) to base 15\nAnswer: 108b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -32 divided by 1297?\nAnswer: -32\/1297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand 27*r**4 - 5*r**4 + 11*r**4 + r**2 - r**2 - r**4 + (-2*r**2 - r + r)*(-r**2 + 0*r**2 + 3*r**2).\nAnswer: 28*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 194 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 1, u: 6, p: 1, h: 1}. What is prob of sequence uhud?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*f**3 - 1454 - 1456 + 2913 + 3*f + 4*f**2 - 6*f**2 + 3*f**4 to v*f**4 + p*f**3 + g*f + b + q*f**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -q + 10. Let v be x(6). Solve v*l - 9*l = -15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4*((-55)\/(-2))\/((-80)\/(-24))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 47243 and 238.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-15)\/4*(-12)\/(-18)*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -2*i**3 + 26*i**2 - 57*i - 61. What is f(6)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 1049543*o**2 - 1286270 wrt o?\nAnswer: 2099086*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xgysxxgsx. What is prob of picking 1 s, 1 y, and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -7259*p - 12. Let z(f) = 13*f + 3. Calculate -x(i) - 4*z(i).\nAnswer: 7207*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -p**2 - 3*p. Let l be v(-3). Suppose -f + 5*z + 3 = 0, l*z + 2*z = -2*f + 6. Let u(b) = b**2 - 3*b. Let y be u(f). Is 0 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 157374, 159461, 161548, 163635?\nAnswer: 165722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -49\/2 - -24. Let s = -8.4 + 12.4. What is the smallest value in s, c, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 101 + -60. What is the remainder when o is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 11) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 1655*c = -3*q + 1659*c + 28, -2*c = 4*q + 14 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -452*s - 1720730 = -507*s. What are the prime factors of s?\nAnswer: 2, 15643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -154 = -3*y + n - 5*n, 5*n - 260 = -5*y. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 104, 101, 102, 107, 116?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + 55089 = j, 4*n + 36715 = 2*n - 3*j. Let k = n - -48362. Round k to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 8*i**2. Let q(v) = -81*v**2. Let j(k) = 2*q(k) + 21*y(k). Let n(u) = -2 + 73 - 71 + 4*u**2. Calculate j(n(s)).\nAnswer: 96*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 131587 is divided by 128.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand l**3 + 6 - l - 22*l**2 + 22*l**2 + (0 + 0 + l)*(-49*l**2 + 23*l**2 - 41*l**2) + (l**2 + l**2 - 5*l**2)*(2*l - 2*l + 3*l).\nAnswer: -75*l**3 - l + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence een when three letters picked without replacement from eenecenceeeecc.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -2*s**2 - 6*s - 7. Let l(t) = 6*t**2 + 17*t + 20. Let x(y) = -4*l(y) - 11*z(y). Give x(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h**2 - 41*h + 336. Give o(-50).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1144 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1600 and 5872.\nAnswer: 587200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6 + 9. Let f(n) be the second derivative of n**4\/12 + n**3\/3 + 3*n**2 - 7*n - 1. Does 7 divide f(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -f + 2*f - 132. List the prime factors of f.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find i such that -24\/7 + 3*i + 3\/7*i**2 = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -17298991.9 rounded to the nearest one thousand?\nAnswer: -17299000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 33048317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*v - 23 + 8. Suppose -z = 4*d + 2936939 - 111104, 5*d + v*z = -3532275. Let g = -1976460 - d. Round g to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1118*z**2 + 1364*z?\nAnswer: 2236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {u: 2, k: 4, z: 1, q: 1, g: 1, n: 3}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 662792471 to the nearest integer?\nAnswer: 25745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = 56 - 58. Sort 5, 2, y in increasing order.\nAnswer: y, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 11 - 21?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) be the second derivative of -s**5\/110 - 1307*s**4\/66 - 142136*s**3\/11 + 427716*s**2\/11 + 6970*s. Factor r(d).\nAnswer: -2*(d - 1)*(d + 654)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -4*c**3 - 38*c**2 - 19*c - 430. Determine h(-10).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - 2*s)*(0*s**3 - s**3 + 2*s**3) + (-8 + 3*s + 8)*(5*s + 0*s - 4*s)*(2*s**2 - 4*s**2 + 0*s**2).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -73.534 and 362?\nAnswer: -26619.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, l: 1, p: 1, o: 1, b: 1, n: 2}. What is prob of picking 1 p and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 0 - 1 + 5 - w. Let t be d(0). Suppose -4*u = 2*y - 8, -y - 2*u + 28 = t*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -18549 or -7\/30?\nAnswer: -18549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -35730533133 + 3.5\nAnswer: -35730533129.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-3*(-4)\/42)\/((-43)\/2408*16)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c = 901 - 911 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 973 and 417.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 105049388 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 2*h - 1. Let x(v) = 5*v + 102. Calculate -2*u(m) + x(m).\nAnswer: m + 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 40798578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = 5*d + 54. Let t = 14 + d. Let b = 7 + -4. Solve -4*z + t*z - b = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 10) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 37 + -18. Let k = 15 - 8. Suppose 0 = -4*m - 3*x + 32, k*m - 3*m - x = 16. Solve 6 + a = -m*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 113881086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = 92\/17 + -1697\/34. Let x = 44 + s. Are x and -0.5 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 881 - 245. Suppose m = -3*m + c. List the prime factors of m.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 92465186 divided by -4202963.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1*-3*(-6)\/(-9). Let x(q) = -3*q**3 - 4*q - 3. Let v be x(n). Suppose -5*w = -26 - v. What is the smallest common multiple of w and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 5781203*z + 1026991.\nAnswer: 5781203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -3*y - 12. Let i = 29 + -35. Let n be k(i). Let j be 4 + ((-15)\/n - 2). Which is the nearest to j? (a) 1\/4 (b) 1 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 6, -1, -4, 20 in decreasing order.\nAnswer: 20, 6, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2158)\/3320)\/(20\/(-1200)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide ((-28)\/(-8))\/7 + (-3355)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 55550 and 133430?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zzzqqqz. Give prob of sequence qz.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n - 6 - 5 = 3*w, 3*w - 24 = 3*n. Let p = 7 + n. Factor 0 - 1\/3*h**4 + 0*h - 1\/3*h**3 + 0*h**p.\nAnswer: -h**3*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 80557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-15*w**4 - 16*w**3 + 16*w**3)*(0 - 1 + 3 - 6 + 5 - 1 + (1 + 1 + 1)*(-2 - 1 + 1)).\nAnswer: 90*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*i = -32*i - 286 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve q = 4*p - 16, 3*p - 12 = 2*q - 0*p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2125 + -1326. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -w**3 + w**2 - w - 1. Let a be h(-2). Let q be (-13*(-18)\/4)\/((-67)\/(-134)). Calculate the highest common divisor of q and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 145\/6 and -61\/116172?\nAnswer: 116172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the third derivative of -1\/6*v**3 + 0*v - 7*v**2 + 0 + 1\/360*v**6 - 1\/24*v**5 - 1\/4*v**4. Let a(l) be the first derivative of u(l). Give a(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-3)\/45 + 91814\/435 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11.6549632 rounded to 2 dps?\nAnswer: -11.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = c**3 + 22*c**2 - 17*c - 38. Let g be v(-22). Suppose 62*a = 56*a + g. Calculate the remainder when a is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 22 and 1314.\nAnswer: 14454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -5 (base 8) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 32\/5 of a second in milliseconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Are -69 and -69011 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = -637 - -636.9. Which is the nearest to 2\/7? (a) 1\/2 (b) 20 (c) f (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1\/(9 - 3 - 5). Let z(y) = y + 19. Let x be z(-17). Solve -3*m = 5*l + n, -2 = x*l - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -58*d + 17. Suppose -2*r - 5*f + 4 = 0, -2 = -4*f + 3*f. Is w(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -16, -2\/3, 27, 4, 6?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) be the first derivative of 11\/2*m**4 + 5*m**3 + 0*m - 52 + 0*m**2. Find the third derivative of u(p) wrt p.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that m**3\/6 - 420755*m**2 - 1683022*m - 5049068\/3 = 0.\nAnswer: -2, 2524534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 685 minutes before 2:43 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*h - 2232 = -18*h. What are the prime factors of h?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 + (-3 - (-6 - -4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 271 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*z - 4*z = 1128. What are the prime factors of z?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 8 = i. Suppose 14 = -0*a - i*a. What are the prime factors of -2*a\/(14\/12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 193314 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(252) + 0 - (sqrt(14)\/(sqrt(50) + sqrt(2)) + sqrt(7))*3)**2.\nAnswer: -10*sqrt(7) + 191\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/2*k + 1\/2*k**2 - 1\/6*k**3 + 1\/6.\nAnswer: -(k - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -488*s - 749*s + 83*s.\nAnswer: -1154*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q be (6\/(-12))\/(0 + -2). Let t be 1\/(-3)*(20 - -1). Let m = 8 + t. Which is the smallest value? (a) q (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 40558*f**4 + 362*f + 10.\nAnswer: 486696*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -224.2334 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 34 = -42. Calculate the highest common factor of 32 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00001175 to 7 decimal places.\nAnswer: 0.0000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -145*w = -146*w + 18*x - 61, w = -x + 2*x - 61 for w.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 divided by -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*((sqrt(264) - (sqrt(264)*-2 + sqrt(264))) + sqrt(264) - sqrt(264)) - sqrt(264))\/sqrt(11))\/(-2*sqrt(128)*-2).\nAnswer: -5*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 2*o**3 - 93*o**4 + 94*o**4 + 0*o - 2*o - 4 in the form x*o + u + j*o**2 + c*o**4 + h*o**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 15832 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 5 - 10e21?\nAnswer: -10e1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -12323012 (base 4) to base 6\nAnswer: -335142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2 + 1.9. Let d = 3.71 + -3.71. Let u = -0.3 + 0.4. What is the closest to u in 3, c, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -7744\/7 + 176\/7*l - 1\/7*l**2.\nAnswer: -(l - 88)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 12\/(-6)*(21 + -13 + 1\/(-2)). Let u(g) = -2*g**2 - 34*g + 15. Give u(a).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3814, -3808, -3802, -3796?\nAnswer: -3790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4222 - 698 = 3*t. What is t rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*c + 7*c + 4*c + (6*c - 17 + 17)*(3 + 3 - 4))*(3*c**4 - c**4 - 3*c**4).\nAnswer: -34*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 4*x - 14 = 0, -x = i - 2*x. Let s = 25 - i. Calculate the highest common divisor of s and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (11\/(-165)*-10)\/((-8)\/60).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (22\/3)\/(224\/(-336))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*r + 28843 + 28771 + 2*r**3 - 86450 + 28836.\nAnswer: 2*r**3 - 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2 * 715265.\nAnswer: -143053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.02267 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*t = -5*t + 103. Let s = t - -216. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -63177854*f + 35748155?\nAnswer: -63177854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iipwppwipciiiippppip. What is prob of sequence pip?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m = k - 15, -k = 4*m - 8 - 22. Solve 0 = v - 2*p - k, -3*v + 18 = -0*v - 2*p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 4*a**3 - a**2. Let r be ((-3)\/(-3))\/((-2)\/22*-1). Let d be 1 + (-33)\/27 - r\/(-9). Let n(s) = -s**3 - s**2. Calculate d*n(q) + i(q).\nAnswer: 3*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 210528428 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -x**3 - 2*x**2 - x - 1. Let c(m) = 220*m**3 - 13*m**2 - 6*m + 13. What is 7*a(k) - c(k)?\nAnswer: -227*k**3 - k**2 - k - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (6*i - 18*i - 5*i)*(34 - 417*i + 415*i + 44)*(2*i + 0 + 0) + 3*i**3 - 2*i**2 + 2*i**2 in the form z*i + t + j*i**3 + o*i**2 and give o.\nAnswer: -2652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = a**3 - a**2 + a + 1. Let d(x) = -12*x**3 + 18*x**2 - 18*x - 10. Let m(t) = 20*c(t) + 2*d(t). Factor m(p).\nAnswer: -4*p*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -26 - -14. Let f be 3\/(-2)*a\/9. Suppose -n = -f*n + 3. Let y(j) = -j**3 + 2*j**2 + 3*j + 1. Calculate y(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 6*n + 128. Calculate the least common multiple of y(-20) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -331, -321, -309, -295?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2905\/57776 or -0.2?\nAnswer: 2905\/57776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**27\/f*f\/f**(1\/11))\/(f**(-2\/39))**(-4\/7) assuming f is positive.\nAnswer: f**(80720\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -299.4 take away 4879?\nAnswer: -5178.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = f**2 - 1227*f + 8524. What is i(7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = y**3 - 12*y**2 + 33*y + 1. Let h be k(14). Let t = h + -412. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (-49)\/(-1568)*96*(-19)\/(-3)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -x**3 + 10*x**2 - 9*x + 9. Let y be 3*(-5 - -2)*(-2 + 1). Calculate the remainder when 105 is divided by o(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rr when two letters picked without replacement from errrerieerireere?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 16\/(208\/(-91))*-20*(-25)\/700?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 26, -198, 0.3, 26\/5, -6 in descending order.\nAnswer: 26, 26\/5, 0.3, -6, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -10.7241567 to 0 dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 15676317 - 116?\nAnswer: 15676201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 330722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 49045.27 kilometers to millimeters.\nAnswer: 49045270000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2539939841?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p be 5\/(-15) - 13\/(-3). Suppose -28 = -p*a + 2*l + 3*l, 3*a + 6 = -3*l. Suppose 7*w + 25 = a*w. Sort w, -1, 0 in increasing order.\nAnswer: w, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2.144 - 0.144. Let t = -334 + 5676\/17. Let c = t - 47\/34. What is the closest to 0.1 in c, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 5*o - 118 = 682, 3*o + 1000 = -5*b. Let n = b + 607. Let k(j) = -6*j**2 + 408*j - n*j + 6 - j**3 - 1. Give k(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2332\/286 + -1 + -7. Which is the closest to 0.2? (a) 0.2 (b) 1\/2 (c) -0.9 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 73210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 112 divide 29685113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = 3*h + 2*r - 26, 4*r = h - 22. Suppose -w = 2*w - h. Suppose -w*g + 0*g + 94 = 0. What are the prime factors of g?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -27852936.8 to the nearest 100000.\nAnswer: -27900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 = -2*q + 7*q + n, 24 = 4*q + 3*n. Let i be (-6)\/(q\/8*-1). What is the highest common divisor of i and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6610.9 + -6611. Which is the smallest value? (a) 9 (b) y (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -0.02, 2\/11, 2\/15, 1\/7, 267?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -d + d - 135276*d**2 - 102212*d**2.\nAnswer: -237488*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 8 - 7 = 5*q, -7 = -5*w + 3*q. Suppose 14 = z + 4*a, -w*a = -5*a + 9. Solve -25 - 4 = z*j + 5*f, -3*j - 16 = 2*f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 85, 151, 257, 397, 565, 755, 961, 1177?\n\"Answer: -o**3 + 26*o**2 - 5*o + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 156 = 8*s - 452. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 285893.3g?\nAnswer: 285893300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -n**3 + 14*n**2 - n + 2. Let f be j(14). Let a = 70 + f. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 2.79962ng?\nAnswer: 0.00000279962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 676116359.\nAnswer: 676116359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 101495378.\nAnswer: 2, 19, 2670931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 + 3122341424?\nAnswer: 3122341422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let 5*g**2 - 898595*g + 26055050 = 0. Calculate g.\nAnswer: 29, 179690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 27270660685814.8999954 - 27270658304421. Let b = -2381396 + h. Let f = b + 2.1. Round f to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 276 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that -u**3 - 55560*u**2 - 12076437*u - 657518302 = 0.\nAnswer: -55342, -109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3625\/3 or 1207?\nAnswer: 1207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let -2*o**4\/5 + 6*o**3\/5 - 2*o**2\/5 - 6*o\/5 + 4\/5 = 0. Calculate o.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/3 in 0.2, 3.723, 2\/15, 3\/2, -57?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 556 and 170692?\nAnswer: 170692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = 47.0000076 - 47. Round d to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the first derivative of t**4\/26 - 22*t**3\/39 + 19*t**2\/13 - 18*t\/13 + 328. What is p in g(p) = 0?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 2*s - 38 = 6*i, 26 = -3*i + s. Let n(h) = -3*h**3 - 11*h**2 - 20*h + 5. Is n(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = 47*k - 51. Suppose -2*m = -5*t + 10 + 19, -3*t - m = -13. What is the units digit of w(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o**4\/7 - 13347*o**3\/7 + 334157*o**2\/7 - 273195*o - 2259868\/7 = 0. What is o?\nAnswer: -13372, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 69.51957l in millilitres?\nAnswer: 69519.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -3, -61, 5, -76 in decreasing order.\nAnswer: 5, 0, -3, -61, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mz when two letters picked without replacement from srsmsxzsms?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -1505319, -1505318, -1505317, -1505316, -1505315?\n\"Answer: r - 1505320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -138 + 216. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.1 times -1478.9\nAnswer: -147.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0.45 take away 1190302?\nAnswer: -1190301.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 445 minutes after 10:16 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -138*t - 1376. Calculate y(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7918.\nAnswer: 2, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 337 minutes after 3:27 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -9420 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/4)\/(19\/(-38))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + -7 + -1 - (-26 - (0 + -3)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6, 8, 26, 48?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -83*k - 10 = -73*k. Let d = -8 + 12. Sort -5, 2, d, k in ascending order.\nAnswer: -5, k, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-231)\/315 - 4\/(-10)) + 56916202\/219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 50 = -4*a - 0, 0 = 5*a - 10. Calculate the highest common divisor of j and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1648035217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 104631864 to the nearest integer?\nAnswer: 10229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -8453, 9, -118?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -108 + 240. Let i = m - 120. Is (18\/i)\/(3\/28) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*s**(6\/7)*s)\/(s\/(((s*(s*s**12)\/s*s)\/s)\/s)) assuming s is positive.\nAnswer: s**(97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 1079, 2157, 3235, 4313, 5391, 6469?\n\"Answer: 1078*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 15, 32, 5, 2 in descending order.\nAnswer: 32, 15, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = 13 - 21. Let x = h + 9. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 181*s + 951 = -429 + 113 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 388319 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 3531243587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5413, 9768, 14123, 18478, 22833, 27188?\nAnswer: 31543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 255 - 250. What is the third smallest value in -4, u, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(49) + -1*sqrt(3969))\/(sqrt(112)*-4).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -z + 4*z - 5*z + (0 + 2 - 1)*(-z + 4 - 4) + z - 3 + 3 + (-5*z + 2*z + 2*z)*(0 - 4 + 2) + 881*z - 1419*z + 945*z to the form v + j*z and give j.\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -10*l + 24. Let s be x(0). Calculate the common denominator of (-21)\/(-12)*(-136)\/s and -91\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 2*w. Let y(c) = -4065841*c**2. What is y(t(h))?\nAnswer: -16263364*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.82 - -0.08. Let s = 1894.99 - 1894. Let p = s - k. Round p to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 28293, 113152, 254585, 452592, 707173, 1018328?\n\"Answer: 28287*c**2 - 2*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -493521164 divided by 75833.\nAnswer: -6508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 3 - 35 - (70 - 125)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Product of -17.719 and -56.4.\nAnswer: 999.3516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3551 - -117206\/33. What is the common denominator of 29\/308 and k?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 0 - (0 + (-6)\/3). Suppose 7*p = w*p. Suppose 4*b - l - 38 = p, 2*l - 42 - 2 = -4*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1702)\/276 - 36\/(-6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -24\/46666813 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*c**5 - 740*c**2 - 120*c + 13*c**4 - 33*c**4 - 35*c**4 + 157*c**5 - 858*c**3 - 292*c**3 = 0. What is c?\nAnswer: -2, -2\/5, -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:31 AM and 8:34 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-14 - -2) + (14 - 9) - -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 382.9 * -14.2.\nAnswer: -5437.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve s - y - 5 = -6*y, 4*y + 7 = -3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out -25 * -1.8.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -2950*x + 2952*x - 4*k + 82 = 0, k - 8 = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 1231212 (base 4) to base 9\nAnswer: 10553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) be the second derivative of -1\/6*w**3 + 0 - 10*w + 7\/2*w**2. Let h be j(5). Calculate the greatest common divisor of 4 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 57040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 65 a factor of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - k - k = 8, 0 = -4*k - 12. Let t(x) = 4*x + 11*x**2 - a + 0 + x**3 - x + 4*x. Is 19 a factor of t(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1049724601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 514*f**4*k**3 - 2*f**4 - 202*f**3*k + 126*f**2 - 11*f*k**2 - 4*f - 25*k**3 wrt f?\nAnswer: 12336*f*k**3 - 48*f - 1212*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide 438 by 6.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 4 + 1)*(2*a + 0*a + 0*a) + (2*a - 2*a + 2*a)*(-1 - 1 - 3) to i + o*a and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -134 = 5*m - 554. Let w be 15\/m + ((-15)\/12)\/(-5). Which is the nearest to -3? (a) w (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 + (-7 - -9 - 9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 1062 divide 10640178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + f - 3 = 0, f + 3*f = p - 14. What is the remainder when 102\/27 - (-16)\/72 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = 3*l - 5*a, -9*l + 5*l = -4*a + 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1443.82 + 1444. Let c = 27 + -27. What is the closest to -0.2 in c, a, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 721406138?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5 and 12695.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {a: 1, f: 4, i: 5}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 252 = 5*a, -514 = -3*y - 5*a - 186. Let r = -7 - -11. Calculate the smallest common multiple of r and y.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 474 - 479. Let i be (12\/a)\/((-15)\/((-7425)\/(-18))). Sort i, 3, 4 in descending order.\nAnswer: i, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15 - 5 = -5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 5, 1, 0.9, -3, -275, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -1011010 (base 2) in base 5?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (8*d + 13*d - 6*d)*(5 - 1 - 2) - d + 0*d + 2 - d + (d - 2 + 2)*(-4 + 2 + 1) + 4*d - d - 5*d + 3*d - 5*d + 4*d to p*d + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s + 34 = 3*d, -d + 2*d = -21*s + 149 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 9*f**2 + 225*f + 1. Let n(c) = 2*c. Determine u(n(v)).\nAnswer: 36*v**2 + 450*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1776*c**2 + 323*c**2 - 1069*c**2 to l + b*c**2 + h*c and give b.\nAnswer: -2522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -8671305*r**3*s + 8*r**2 + 401519*r*s wrt r.\nAnswer: -52027830*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -19.1 and 0.4?\nAnswer: -7.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 9, 3, -1\/2109 in decreasing order.\nAnswer: 9, 3, -1\/2109, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -9658*p - 86560. What is a(-9)?\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 112 = 9*i - 5*i. Let a = i + -10. Calculate the remainder when 47 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 e and 1 q when four letters picked without replacement from {q: 4, e: 15}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*q = -q. Suppose 0 = 5*v - q*v - 10. Solve 5*m - v*r + 16 = 0, 5*m + 2*r + 25 - 1 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -7 + 827a9?\nAnswer: 827a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 23626 (base 10) to base 9\nAnswer: 35361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/r**(-3))\/r)**(-2\/23) assuming r is positive.\nAnswer: r**(-6\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 6, s: 5, u: 3, b: 3}. What is prob of sequence ls?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - 3*m)*(0*m**2 + 6*m**2 - 2*m**2) + 2*m**2 + m**3 - 2*m**2 + (m - 3 + 3)*(5*m**2 + 2*m**2 - 5*m**2).\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3955 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 464233, 464184, 464135, 464086, 464037, 463988?\n\"Answer: -49*s + 464282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -70 + 62. Let q be (6\/v)\/((-42)\/224). Let i(r) = r + 3. What is i(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -86 - -47. Let o be (-1)\/3 + z\/(-9). Solve -j - o = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-4)\/(-3))\/(8 - (-100)\/(-15)). Let b be (14\/4)\/(z\/2). Solve -3*i + b*i - 12 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3378 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (46 - 4 - 24 - 12) + -45.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2 - -6. Let t be 14\/j + 2\/8. Let n = t - 1. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 825.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 10265 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Add 6896 and -1134.1767.\nAnswer: 5761.8233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: 152 times -2\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 160 divide 126959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 158 and 783749836.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 2*t - 10. Let o(y) = -14*y + 678. Let k be o(42). Calculate the greatest common factor of t and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 5 + -5. Let y be (4\/(-8))\/((-2)\/(-6)). Sort 0.5, o, y.\nAnswer: y, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - 2\/2)\/(-6 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 52945 is divided by 2407?\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 43\/2 of a tonne?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9460143 is divided by 1057.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -14\/98481?\nAnswer: -14\/98481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -675 + 921 = -82*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 50424 and 23111.\nAnswer: 554664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let -2*c**2\/7 - 239772*c - 50304285486 = 0. Calculate c.\nAnswer: -419601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0034271645 to 4 dps.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 0*c + 15 = 0. Suppose -c*k = -k - 388. Let x = k + -66. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 3 + 2)*(-2*s + 2*s**3 + 2*s) + 2*s**2 - 2*s**2 - s**3 + (2*s + 0 + 0)*(s**2 + 0 + 0) - 22 + 22 + 2*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 131562870 and 27?\nAnswer: 1184065830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = p + 4. Suppose -25 = -5*k, -2*k - 9 = -2*z + 11. What is the remainder when z is divided by t(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2673?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*l - 5*u - 194, -42*l + 47*l - 430 = -5*u. Solve -234 = -39*w + l*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(-2)*(-330)\/77*42\/15.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2931949ng in milligrams?\nAnswer: 0.0000002931949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 2*j**3 - 97*j + 367. Give v(4).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.1, 18, 6\/5, 0.1, -0.019?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express -6*z + 2*z**2 - 4*z + 7*z - 8*z**4 + z in the form u + t*z**2 + a*z**3 + m*z + s*z**4 and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the second derivative of 0 + 0*z**2 + 0*z**4 - 5\/2*z**3 + 0*z**5 - 11*z + 0*z**6 - 2\/21*z**7. What is the second derivative of n(x) wrt x?\nAnswer: -80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-8)\/(-52) - 258\/(-13). Let p be (-12)\/(-18) + d\/6. Solve 4*q - 2*o = -14, -2*o - 17 = p*q - o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*a = 5310*l - 5311*l + 40, 2*l - 36 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p be -1*(-10 - (-2)\/4*10). Sort p, -4, -12.\nAnswer: -12, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 + 71 = -5*j. Let q be (8\/j)\/((-7)\/3 - -2). Find the first derivative of 43*g**2 + 6 - 43*g**2 + q*g**3 wrt g.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 234408?\nAnswer: 2, 3, 9767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 432*m**2 + 36*m + 305. Is u(-6) a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in s + 143*s**3 + 19*s**3 + 228*s**3 - s - 240*s**3.\nAnswer: 150*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -q**2 - 1. Let j(y) = y**3 - 2*y**2 + y - 2. Let w(m) = -25*m**3 + m**2 + m + 1. Let i be w(-1). Let r = i + -28. Determine r*n(f) + j(f).\nAnswer: f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -3, -5, 129, 5, 157 in increasing order.\nAnswer: -5, -3, 1, 5, 129, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) be the third derivative of y**7\/2520 + y**5\/30 - 37*y**4\/12 + 48*y**2. Let f(j) be the second derivative of d(j). Calculate f(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2 + 0 + -2 + 5. Suppose 0 = 2*a + 3*a + o. What is the common denominator of 73\/10 and 34\/(-24) - a\/4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:30 AM and 11:35 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 429 minutes before 5:16 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/4*(40\/(-7))\/(46\/161)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -19? (a) -13 (b) 0.5 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d be 5*(3 + (-11)\/5). Suppose d = -k + 2*k. Suppose -54 = -k*a + 18. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n\/(n*n**0\/n))\/n*n*n)**(-1\/21)\/((n**(-1)\/n)\/n*n*n**8) assuming n is positive.\nAnswer: n**(-128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -12*c. Let x(g) = 6 + 12 - 30 + 13*g + 6. Let v(l) = -37*l + 17. Let s(i) = -6*v(i) - 17*x(i). What is a(s(m))?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 992.3 times -0.01?\nAnswer: -9.923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t be 621\/36 - (-1)\/(-4). Suppose 3*n - t = -4*f, -2*f = 4*n - 12 - 4. Solve -12 = -2*p + f*l, -p + 3*p + 8 = -2*l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*u - u + 5*u**3 - 5*u**3 - 13*u**3 + 18*u**2.\nAnswer: -13*u**3 + 18*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = 6*n**2 - 1. Let r be w(-1). Suppose 162 = r*y - 118. Let c = -11 + 18. What is the greatest common divisor of c and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -1351*c**5 - 19512*c**2 + 19512*c**2 + (-5*c + c + 2*c)*(-c**4 + 5*c**4 - 3*c**4).\nAnswer: -1353*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4085 and 2365.\nAnswer: 44935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 166*r**2 + 7*r. Let g(a) = -140*a - 3. Determine g(o(p)).\nAnswer: -23240*p**2 - 980*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 4*q**2 - 18*q - 7. Let z be l(5). Suppose f + 16 = 2*b + z*f, -3*b - f = -32. Calculate the greatest common factor of 8 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) be the first derivative of y**3\/6 - y**2\/2 + y\/2 + 2. Factor h(t).\nAnswer: (t - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -4*m**2 - 16*m - 8. Determine r(-8).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 515*n - 531 - 533 + 3440*n - 544 + 1613 to the form t + u*n and give u.\nAnswer: 3955","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 203651397 and 1161.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -958 = -t - 25*f + 21*f, 0 = 3*f. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v = 6926214 + 6573786. Round v to the nearest one hundred thousand.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -6*u - 33*u**4 + u - 63 + 34 + 18*u**3 + u**2 + 31 + 39*u**4 in the form j + l*u**4 + t*u**3 + b*u**2 + q*u and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-79 - 137 - 185 + (-1 - 3 + 3)*(1 - 4 + 1))*(-2*a**4 - a**4 + 5*a**4 + (0*a + 0*a + 2*a)*(-a**3 + 0*a**3 - a**3) + 3*a**4 - a**4 + a**4).\nAnswer: -399*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iibibabwiiak. What is prob of picking 2 i and 1 k?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = 84.42 - 148.3. Let m = t + 8.98. Let c = m + 55. Are c and 2.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*m + 249 = 6*b, 3032*m = 3029*m - 5*b + 114 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 23 + 1031?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 6 - (13 + -4 + 3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 135, -1\/2, 1, 2\/7.\nAnswer: -1\/2, 2\/7, 1, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 - 5 = -26*o. Solve 0 = 8*u - o + 32 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 741 and 4?\nAnswer: 2964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = 237 - 212. Suppose -25 + i = w. Factor -1\/2*g**3 + 0*g**4 + 0*g**2 + w + 1\/4*g + 1\/4*g**5.\nAnswer: g*(g - 1)**2*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.04 in -1\/6, 2, -302?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 884.9675t in micrograms?\nAnswer: 884967500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y, 1 a, and 1 q when three letters picked without replacement from ayayqyyaaq.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -56 = -6*a - 38 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2589096\/77 - -33624. Calculate the common denominator of i and 86\/399.\nAnswer: 4389","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -34, -5, -1.\nAnswer: -34, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out 1 + -6537922007.931.\nAnswer: -6537922006.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4920115, 4919934, 4919641, 4919242, 4918743, 4918150, 4917469, 4916706?\nAnswer: 4915867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 2 p when three letters picked without replacement from {p: 10, w: 2, x: 4}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 211160 to the nearest 1000.\nAnswer: 211000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) be the third derivative of 0*a**3 + 0*a**4 + 1\/10*a**5 + 10*a**2 + 0 + 0*a. Let h(q) = 2*q**2. Give h(c(w)).\nAnswer: 72*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u be -15 - (-42)\/28*2\/(-3). Find the common denominator of -81\/2 and ((-366)\/u)\/(255\/68).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 2654*t. Let m(g) = -g**2. Determine m(p(w)).\nAnswer: -7043716*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = 400.34 - 424.5. Round k to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14235 is divided by 14225?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from bbbbbtbtb.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5 - 3. Let z be 0\/(l - 1) - -4. Suppose -c + 14 - z = 0. What is the least common multiple of c and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1191 - -1196. Let x = -2 - -3. Which is the closest to -1? (a) t (b) 0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -14*x**2 - 7*x - 11. Let i(s) = -5*s**2 - 3*s - 4. Let c(f) = -17*i(f) + 6*y(f). Calculate c(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3407 is divided by 95?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 95027 to the nearest one thousand.\nAnswer: 95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by 9199\nAnswer: -2\/9199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -80\/282087 and 43\/702.\nAnswer: 1692522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -248672\/13 or -19130?\nAnswer: -19130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 2 q when three letters picked without replacement from {q: 2, h: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 0.07, 1\/2, 62, -1\/4 in ascending order.\nAnswer: -1\/4, 0.07, 1\/2, 2, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 277*x + 50918 = 51195 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 3030*0.016\nAnswer: 48.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*y + 16*y**2 - 2*y)*(-3 + 4 - 4)*(0*y + 0*y + y) - 4*y**3 + 0*y**3 + 3*y**3.\nAnswer: -49*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -73\/28 and -83\/19573736.\nAnswer: 19573736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ssxxkuyy. What is prob of sequence skys?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*y**3 - 38*y**2 + 7*y**3 - 19 + 18 + 38*y**2.\nAnswer: -y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i be 104\/24 - 2\/(-3). Solve -c = 5, w = i*w + 3*c + 35 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7931 - 17476 = -35*l + 21080. Calculate the greatest common divisor of 20 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 + -9 + (-4 + 23 - 8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by -19829065\nAnswer: 1\/19829065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let -4*b**5 + 11184*b**4 - 7783956*b**3 - 47107096*b**2 - 358656*b + 251238528 = 0. Calculate b.\nAnswer: -4, 2, 1401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = 7 + -4. Suppose -57 + 18 = -s*t. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 2, v: 9, n: 5}. Give prob of sequence nvt.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = r - 29. Give z(12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out 7.33 + -490.\nAnswer: -482.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10 - (2 + -4)) + (6 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -7, 926, -2 in ascending order.\nAnswer: -7, -2, 926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 0\/3*(-118)\/1534*1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + (6 - 9) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = 4*l, -2*l - 400 = -5*n. Suppose 21*i + 1836 = 114*i + 60*i. What is the highest common divisor of n and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*l - 3*l. Let b(j) = -18*j**3 - 7*j**2 - 21*j - 1153. Let q(k) = -7*k**3 - 3*k**2 - 8*k - 461. Let i(t) = 5*b(t) - 13*q(t). Does 38 divide i(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*o + 9 = -14*o - c + 3*c - 8, 5*c = 13*o + 70 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 7*l**2 + 7*l - 9. Let j be o(6). Let b = -2 + 7. Suppose 3*k + 333 = b*v - k, -3*k = 4*v - j. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = z**2 + 28*z + 45. Let p(m) = -2*m**2 - 57*m - 92. Let c(k) = -6*p(k) - 13*y(k). Let t be c(-19). Solve -5*f + t = o, -3*o - 2*f + 5 = -2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -75, -287, -639, -1131, -1763, -2535, -3447?\n\"Answer: -70*a**2 - 2*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 62*q + 334 = -38 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 22991, 45964, 68923, 91868, 114799, 137716?\n\"Answer: -7*o**2 + 22994*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -11.4 - -11.43. Which is smaller: m or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32.4348mg in tonnes?\nAnswer: 0.0000000324348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -2*h**3 - 6*h**2 + 7. Let c(g) = g**3 + 5*g**2 - 6. Determine 6*b(l) + 7*c(l).\nAnswer: -5*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18326.49 - -0.012.\nAnswer: 18326.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/10*12\/(-2)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) be the second derivative of -w**5\/20 + 11*w**2 + 14*w. Let c be x(0). Solve y + c = -5*n, 2*y + 2*y - 12 = 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 85 + -50. Let b be 5\/(p\/(-2)) - 58\/(-7). Suppose -2*s + 0*q + b = 2*q, 10 = s + 3*q. Let v(j) = 4*j**3 - 2*j**2 + 2*j - 1. Calculate v(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 80 - 69. Suppose -7*r + 17 = -c. Let g(b) = 851*b - 15. Is g(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (1 - 7 - (0 - 1))*(-82)\/82. Which is the third smallest value? (a) -1925 (b) 0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 437, 1556, 2665, 3758, 4829, 5872?\nAnswer: 6881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnudddinidun. Give prob of picking 1 n and 1 u.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n = -196\/335 + -1\/67. Which is the nearest to -2? (a) -0.04 (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*y - 2*y + 3*y**3 + 4 - 3 - y**4 - y**4 to the form k*y**3 + a*y**2 + f*y + g + m*y**4 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 53328 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-30)\/4*(-72)\/60. Suppose -12*d + 6 = -v*d. What is the common denominator of 67\/10 and ((-3)\/(-33))\/(d\/(-50))?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 45432 by 18.\nAnswer: 2524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Multiply -446 and 0.02.\nAnswer: -8.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 586 a factor of 3260642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1490 - -1500 - ((-51 - (-3 - 1)) + -4)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-6)\/5)\/(0 - 8\/20). Let c(k) = k**3 - 4*k**2 + 5*k - 2. What is c(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 39 - (151 + -91 + -96)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -1118, -2337, -3568, -4817, -6090, -7393?\n\"Answer: -n**3 - 1212*n + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be (2394\/45)\/((-8)\/(-20)). Suppose 3 = -10*l + y. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*l + 5*l - 3*l)*(21313*l - 8762*l - 21188*l).\nAnswer: 17274*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -40 = -25*v + 7*v - 2*a + 52, -a = 4*v - 3 - 23 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, -20393, 1\/5.\nAnswer: -20393, 0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1923835 is divided by 1628.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i - a = -134, 3*i - 6*i + 3*a + 84 = 0. What is the highest common divisor of i and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11495.\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + 0 + (1 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {y: 4, i: 6, l: 1, m: 2, x: 7}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 28524.28 to the nearest one hundred.\nAnswer: 28500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = o - 393, -u - 2*o - o = -123. Suppose -134*d + 3554 = -u*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7960 divided by -7960?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -31\/60 and 57\/4364.\nAnswer: 65460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = 29188 + -1167427\/40. Calculate the common denominator of y and -37\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 10 + -9. Let f be (-3 - g)\/2 - -4. Suppose -m + 0*r = 2*r - 57, f*m = 3*r + 135. Is m a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/24)\/((-2)\/(-12)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3601872 to the nearest integer?\nAnswer: 1898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:31 AM and 3:17 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00006724 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/t**12)\/(t**(-2)*t*t) assuming t is positive.\nAnswer: t**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -d**2 + 6*d + 9. Let m be o(7). Let v(x) = -7*x**m + 7*x**2 - 14*x**2. Let r(c) = -c. What is r(v(h))?\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -22 - -22. Suppose v = k + 2*z - 8, -2*z + 26 = 5*k + z. Suppose 0 = 4*d - 9*d. Solve -u + 2*u - k = d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 572\/15 - 38. What is the nearest to 2 in 2, 0.4, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 306*l - 14044 = -6394 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -146 - -146. Suppose -1 = -3*c + 14. Let n = 250\/567 + -1\/81. What is the closest to t in 3, n, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 31631, 41056, 50483, 59912?\n\"Answer: u**2 + 9422*u + 22208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1672843682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5 - -11. Suppose 6*u = 2*u - 3*g + 87, 0 = 2*u - 5*g - 37. Suppose -2*i = 4*o + 20 - t, 5*i - 4*o - u = 0. Which is smaller: i or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -109125*3.\nAnswer: -327375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -b23927 (base 12) to base 11\nAnswer: -1632571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (((-20)\/42)\/(-2))\/(205\/(-82))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 70*i - 67*i. Solve -3 = z - i, 2*d = 2*z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 8, 3, 5, -3\/196 in descending order.\nAnswer: 8, 5, 3, -3\/196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 2, y: 4}. Give prob of sequence vy.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/81 in 1\/4, -5, -0.025?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -48*c + 38*c = -60 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 52*f - 9252. Let z be i(178). Which is the fourth smallest value? (a) 116 (b) z (c) -1 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1 - -1e45?\nAnswer: 1e44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 219020240*b*h - 106227765*h with respect to b.\nAnswer: 219020240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -1227, -2050, -4299, -8688, -15931, -26742?\n\"Answer: -119*z**3 + z**2 + 7*z - 1116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1025285?\nAnswer: 5, 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) be the third derivative of -2*d**7\/21 + 17*d**4\/24 - 7*d**2. Find the second derivative of q(y) wrt y.\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 10*j. Let a(d) = -86*d**2 - 8332*d. Give g(a(z)).\nAnswer: -860*z**2 - 83320*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22570452?\nAnswer: 2, 3, 23, 27259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-676)\/(-1040) - ((-8)\/10)\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Product of -65150 and -0.9.\nAnswer: 58635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 2009245 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 27289.7 and 31.1?\nAnswer: 848709.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -0.11 (c) -1\/22 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -20*c + 2. What is g(7)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 9103687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -150178\/15 or -10013?\nAnswer: -150178\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kpszzkoyo. What is prob of sequence ys?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 146440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 5\/33 and 55\/6753.\nAnswer: 74283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5\/2*96\/48.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 589, -5 in increasing order.\nAnswer: -5, 5, 589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:05 PM and 11:14 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/1794181 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 0.7 times 0.0646\nAnswer: 0.04522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d**3 - 7*d**2 - 7*d - 1. Let s(r) = r**2 - 7*r - 2. Let b be s(8). Suppose 5*j + 28 = -v, -2*v + 4 = -j - b. Is w(j) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 8 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qig when three letters picked without replacement from srsrrsiigrrrirsqrr?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-200)\/250*(-90)\/(-156)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -7*n. Let a(r) = -29376*r**2 + 680*r. Calculate i(a(u)).\nAnswer: 205632*u**2 - 4760*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k be (3 - (2 + 0)) + -6 + 0. Let i(d) = -d**3 - 4*d**2 + 6*d + 10. Calculate i(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1152 - 2291 + 6760*x + 1139)*(3*x**3 - 3*x + 3*x).\nAnswer: 20280*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = n - 3. Let x be w(3). Which is smaller: x or -9\/34?\nAnswer: -9\/34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -12 + 10.7. Let c = 1.30000109 + o. Round c to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the third derivative of f**7\/105 - 41*f**5\/30 - 31*f**3\/2 - 35*f**2. Differentiate y(u) with respect to u.\nAnswer: 8*u**3 - 164*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 2, c: 2}. What is prob of sequence occo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 273679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -p**2\/2 + 9*p.\nAnswer: -p*(p - 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 2*g**2 + 3663*g + 263509. Determine j(-75).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 9 and 2294?\nAnswer: 20646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -211, 174, 1241, 3332, 6789, 11954?\nAnswer: 19169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12 + -1 + ((-37 - -62) + 41 - 180)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 7*b**2 - 3*b + 87. Let j(p) = 30*p**2 - 12*p + 348. Let c(t) = 15*a(t) - 4*j(t). Differentiate c(w) wrt w.\nAnswer: -30*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from spaowgs. What is prob of picking 1 s and 1 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3 + -3. Let i be (4\/(-1))\/(0 + -2). Suppose -v = i*v. Solve v = 3*p - 9 - n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 118472 = -437*b - 1238*b - 69128 for b.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 40 - 20. Suppose -10 = 3*f + l - 6*l, 4*l - r = 0. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = o**3 + 15*o**2 - 35*o - 16. Let z be x(-17). Let r be ((z\/1)\/33)\/((-48)\/144). Which is bigger: 3 or r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -640 + 638 + 1962 = 70*h for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 39*w - 15*w = 24 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q + 80 = 5*a, 0 = -5*a + q - 0*q + 85. What is the least common multiple of a and 21?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 29192.67 tonnes to milligrams.\nAnswer: 29192670000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/(-9))\/((-8)\/(-32)*2)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -11*a**3 - 1354*a**2 - 40*a + 4579443.\nAnswer: -33*a**2 - 2708*a - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 296 minutes after 5:08 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) be the first derivative of -14*c**6\/27 - 148*c**5\/45 + 67*c**4\/9 + 1012*c**3\/27 + 128*c**2\/3 + 16*c + 263. Suppose q(n) = 0. What is n?\nAnswer: -6, -1, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -n**3 + 3*n**2 + 3. Let a be j(3). Solve -a*y - 24 = 2*r - 5, 4*y + r = -22 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 104, 167, 126, -73, -484, -1161?\nAnswer: -2158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*j + 506 = -2*v, v - 3035*j + 66 = -3038*j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 615317 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.092 + -0.032. Let w = -971.2 - -971. What is the closest to w in n, 1\/6, -2\/3, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2)\/(1*(-1)\/5). Let d be 245*((-6)\/n - -1). Let m = 187 - d. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44 = 4*y - 0*y. Solve 4 = -y*z + 9*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.3 in 5\/4, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 455659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 + 2*j**4 - 3*j**2 + 2*j + 1 + j**4 + 0 to s*j**2 + v*j**4 + a*j**3 + g + z*j and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:46 PM and 4:00 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2\/(2\/(-19)) + 2. Let a = -15 - h. What is the tens digit of 134\/2 - (2 - a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27*y**2 - 5479699*y + 5479699*y.\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = -16.33 + 0.33. Let t = s - -16.1. What is the smallest value in 4, t, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (580\/6 + (-8)\/(-24))*-2. What is the hundreds digit of (-28)\/(-7) + (-18)\/3 - b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wwkwaaawawawaaaaaka. Give prob of picking 1 w and 1 a.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-4)\/240)\/(6 + 120\/(-18)). Let o(f) be the first derivative of k*f**4 - 12 + 0*f**2 + 1\/50*f**5 + 0*f + 0*f**3. Factor o(p).\nAnswer: p**3*(p + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 36*q**2 - 5*q + 5. Is j(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 greater than -500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = 22 + -17. Which is the closest to 0.1? (a) -1 (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.4 in 1.1, -0.2, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*v**3 - 141*v**2 + 816*v + 960.\nAnswer: 3*(v - 40)*(v - 8)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -98, -1286, -4932, -12398, -25046, -44238?\n\"Answer: -227*i**3 + 133*i**2 + 2*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 10, e: 4, q: 5}. Give prob of sequence eqe.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let -c**2 + 304*c + 305 = 0. What is c?\nAnswer: -1, 305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = 24 + -35. Let u = w - -31. Calculate the lowest common multiple of 6 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that -5*h + 9*h - h**2 - 4*h + 5 - 4*h = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 5, -125\/3, 37, 1\/7, 1\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -2, 0.3, -2\/5, 11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 90 + -86. Let t(d) = -11*d + 47. Let h be t(u). Put -15, h, -2 in descending order.\nAnswer: h, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -3*((-50)\/6)\/5. Suppose 0 = -l + 3*s - 1, x*l + s = -2*s + 13. Solve l*w = -w + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0188093 to 4 decimal places.\nAnswer: -0.0188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*y + 4*y + y)*(3*y + 0 + 0) + 4*y**2 - 4*y**2 - y**2 + (3 + 0 - 1)*(-2 + 2 + y**2) - 56054 + 192*y**2 + 56054.\nAnswer: 199*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (445\/356)\/((-114)\/(-3344))?\nAnswer: 110\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aadaddddadadadad. Give prob of sequence aa.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = -25 + 115. Let y be (3\/(-2))\/(3\/(-36)). Calculate the greatest common factor of y and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = a**2 - 7*a + 13. Let t be m(5). Suppose -3*p = t*p - 684. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 112964?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 81\/22 and (-14 - -19) + 8893\/3544*-2?\nAnswer: 19492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 154\/(-110)*2*1\/(-14)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3539.8955 + -3539. Round f to 2 dps.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -179632*r**4 + 2617*r**2 - 10*r wrt r?\nAnswer: -4311168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 3\/((-567)\/123) - 904\/(-4068)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = n**2 + 19*n + 13. Let c(z) = z**2 + 10*z + 7. Let t(h) = 5*c(h) - 3*p(h). Let q be t(4). Solve 4*m + 2*g - 1 = -17, 5*m + 2*g + 18 = q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -1. Let d(s) = -2*s + 3. Let r(h) = -2*d(h) - 6*f(h). Let l(b) = 21*b. Determine l(r(u)).\nAnswer: 84*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/3? (a) 1\/7 (b) -6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in five quarters of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 27040\/9 - 3004. What is the fifth biggest value in d, -1, 0, -4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-120)\/10 + 1 - -11. Let s(v) be the second derivative of y*v**4 + 0 - v - 3\/2*v**2 + 0*v**3 - 7\/30*v**6 + 0*v**5. Differentiate s(h) wrt h.\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4567735121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -5*7951999\nAnswer: -39759995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -961*r + 2981. Let t be v(3). Calculate the highest common factor of t and 7000.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine t, given that 2*t**4\/3 - 6*t**3 - 1120*t**2\/3 - 3456*t - 28672\/3 = 0.\nAnswer: -8, -7, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = 13 - 8. Suppose -a*i + 5*b = -25, -20 + 2 = -3*i + 4*b. Calculate the least common multiple of 2 and -6 + 4 + (i - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = s**2. Let k(i) = -2*i**2 + 785. Determine o(k(d)).\nAnswer: 4*d**4 - 3140*d**2 + 616225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -11 + 16 + (1 + 1 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 3 = -25. Let r be (2 + 238\/(-77))*(-9 + 102\/12). What is the biggest value in -2, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b**3 - 7*b**2 - 8*b + 2. Let v be h(-6). Let j(t) = 5*t - 32. Let n be j(13). Let u = n + -35. Sort 1, v, u in descending order.\nAnswer: v, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 573 minutes after 6:45 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -339073*g**2*m**4 - 44*g**2*m**2 + 40*g*m - m**4 + 104*m**2 wrt m?\nAnswer: -8137752*g**2*m - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 9 and 271827?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17*284.3.\nAnswer: -4833.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t be (1 - -7)*(-4)\/8. Let d be (-2 + -1)\/(((-30)\/t)\/(-5)). Solve p + 0 = d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -14, -4, -6, -5 in descending order.\nAnswer: -4, -5, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 342.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 327672 divided by 81918?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 189.544 * -80.6\nAnswer: -15277.2464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 24*((-40)\/(-6))\/(-20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -8 + -4. Let c = 4 - m. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*o + p - 218 - 807, 0 = -2*o - 5*p - 410. Let t = 3673\/18 + o. Calculate the common denominator of t and -64\/21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) be the first derivative of 2 - 1\/2*g**2 + 5*g. Calculate o(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 7980.64381 to the nearest 10.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 2394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 0\/(-3*(-3 - -2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) 22 (b) -0.4 (c) 0.1 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -916*j + 3732619 = -119*j - 25240722. What are the prime factors of j?\nAnswer: 36353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1679 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -0.8 + 0.123?\nAnswer: -0.677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in -3\/4, -1\/5, -1.8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = 2*q + k, -3*q - 13 - 11 = -3*k. Let n(g) = g**2 + 4*g + 1. Let w be n(q). Let u be (-2880002)\/6 + 2\/w. Round u to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 3*f - 148 = 5*f, 2*o - 62 = -5*f. Let d = o - 43. What is the units digit of (-1447)\/d + -1 + 6\/21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the second derivative of x**3 + 5*x**2 - 4*x. What is the tens digit of g(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -64*x**3 - 4*x**3 - 56*x**3.\nAnswer: -124*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 12468, 100031, 337696, 800511, 1563524?\n\"Answer: 12508*h**3 + 3*h**2 - 2*h - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u be (1\/10)\/((-4)\/2016). Let v = u - -50. Are -1\/2 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (l**4 + l**2 - l**2)*(4*l - 3*l - 5*l + (4 - 2 - 4)*(3*l + l - 6*l) + 4 - 4 + l).\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from ggzbygygzgggbg.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8\/(-6)*((-759)\/(-286))\/(-23).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 59 divide 66080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-20)\/200 + (-84)\/(-40). Suppose -2*z - s = -6*s - 45314, -2*z = d*s - 45286. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2100)\/(-71050))\/(4\/58)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) be the first derivative of -13*x**3\/3 + 2*x**2 - 27*x - 26. Let k(b) be the first derivative of c(b). What are the prime factors of k(-3)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2*(-35)\/14 - (2 - 3). Let s(t) = t**2 - 2*t. Let z(r) = 158*r**2 - 164*r. Let j(c) = x*s(c) + z(c). What is the second derivative of j(i) wrt i?\nAnswer: 308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = d**2 - 15*d + 18. Let h be v(14). Suppose 0 = 5*t + 35 + 20. Let k = h - t. What is the remainder when 29 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by -7093.\nAnswer: 5\/7093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 4 (b) -393 (c) 3 (d) 1\/6289\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -2 less than -1038452?\nAnswer: -1038450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g be 17\/3 + 5 + 3\/9. Suppose 316 = g*v + 118. Solve 14*b - v*b - 4 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 21 and 54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3989.\nAnswer: 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 485292010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*t - 10 = -32*h + 35*h, 0 = -3*h + 3*t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 15 - 17 - (-1 + 8 + -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 3*i - 7*i + 4 = 0, -x + 4*i = 4. Let m = 5 - x. Find u such that u**3 - 2*u**3 - 2*u**2 + 2 + 6*u**2 - m*u = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) be the third derivative of -209*q**7\/105 + q**5\/20 + 71*q**4\/12 + 362*q**2. Find the third derivative of b(u) wrt u.\nAnswer: -10032*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 plus -1734184218?\nAnswer: -1734184218.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*r = -15*r + 3*a + 14, 4*r - a = 7. Solve -2*t - 5*c = 5, 5*c + r = -3*t - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = t + 5. Let a be u(8). Let p be (a\/(-3))\/((-1)\/3). Suppose -2*o + p + 13 = 0. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the third derivative of 23*y**5\/15 - y**4\/12 - 61*y**3\/2 + 171*y**2. Differentiate v(r) with respect to r.\nAnswer: 184*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 247817286 a multiple of 634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 221512 is divided by 701?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 966 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: What is the value of 792\/240*945\/297?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -4*h - 37. Let a be z(-11). Suppose 1563 = 5*w - o, 0 = a*w - 11*w + o + 1250. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -194a (base 15) to base 2.\nAnswer: -1010101011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -8*z. Let c(a) be the first derivative of 7*a**2\/2 - 17. What is -6*c(i) - 5*p(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 36 divided by 20.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q + 5*o = -125, 2*q = 4*o + o - 78. Let v = 32 + q. Solve 0 = -8*w + v*w - 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4.6862263 rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*o + 4*h = -6*o + 24, 13 = -4*o - 3*h. Let k be (-12)\/(-11331)*15114\/(-4) - o. Is -1 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z\/(z**9*z))\/z)\/((z*z**(-2\/5)*z*z)\/z)*(z\/(z*z\/z**(2\/11)))**(-13\/4) assuming z is positive.\nAnswer: z**(-1967\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, g: 3, d: 3, l: 1, x: 2, v: 5}. What is prob of picking 2 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 4 - 2 + 7*b**2 + 7 + 347*b - 167*b - 178*b + 5*b**4 in the form v*b + w + q*b**2 + g*b**4 + d*b**3 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 54 minutes after 9:57 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 420 minutes before 8:42 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xjxe when four letters picked without replacement from exrerxxxxrexxroxjxx?\nAnswer: 15\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.37? (a) -0.2 (b) 4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-54*1)\/((-75)\/(-10) - 7). Let m = t - -54. Let k be (2 + -8)*18\/m. Solve 0*j = -k*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 236 = 5*t. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/15 of a day in seconds?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -1107.1420763 to 1 dp.\nAnswer: -1107.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 2*i + 232 = 0, 0 = -t - 0*i - i + 45. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -166*o + 41. Let v be b(-5). Let w = -75 + v. Round w to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 195506099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2456014334.\nAnswer: 2, 1228007167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 2321506 to the power of 1\/2, to the nearest integer?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = -8 - 4. Suppose -i*q - 11 = -41. Solve 2*w - q*w = -9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 43 - 22 = 0. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -x + 2*a = -2*a + 12, -2*x - 14 = -3*a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 167 (base 9) to base 8\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -82 - -84. Let q(m) = 3*m**3 - 2*m**3 + 0*m + 2*m**2 + m. Let f be q(g). Calculate the greatest common factor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence que when three letters picked without replacement from uuuepjueupupeq?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 560d (base 16) to base 8\nAnswer: 53015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 18.69137l to millilitres.\nAnswer: 18691.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 6 - -31. Let n = -6 - -41. Let g be (o - 2)*98\/n. What is the highest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16 = 5*r + 6*g, 1419 - 1425 = -2*r - 2*g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + c - 11 = 0, 0 = -5*o + 5*c + 57 + 48. Let s(v) = v**2 - 70*v + 354. Calculate the remainder when s(65) is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1346889?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + 14 = o - 1, 4*o - 4*g - 60 = 0. Suppose -o = 5*w, w + 53 = 4*c - 2*c. Suppose 71*q - 29 - 358 = -58*q. Solve -q*h = 2*h + c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 1463, 1477, 1491, 1505, 1519, 1533?\n\"Answer: 14*g + 1449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 71\/2240 and -3 - -13 - (-555)\/(-40).\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4899)\/142 - 1\/(-3 + 8 + 660\/(-130)).\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 97\/2152 and -97\/53800.\nAnswer: 53800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -962*n + 24 + 32 = -960*n. Suppose 4*i - 15 = 3*i. Let f(j) = n*j - 14*j - 3 + 4 - i*j. What is f(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -i**3 - 8*i**2 - 7*i + 3. Let n = -8 + 1. Let g be c(n). Suppose 2*b - g*b + 5*t = -1, 7 = b - 2*t. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 4695 (b) -0.5 (c) 2\/27 (d) 74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 342938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 0*f + 49*f**2 + 6*f**2 - 3 - 3*f + 1. Let z be b(-2). Suppose -9*x + 5*x = -z. What is the highest common factor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6\/35)\/((-54)\/126).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -2*g**2 + 12 + 0*g**2 + g**3 + 8*g - 6*g in the form l*g + w + m*g**2 + k*g**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = 8*h - 4*h - 4, 0 = -2*h. What is the tens digit of -8 + 2456\/p + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 164\/(-8)*-2 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((1 + sqrt(448))**2 - sqrt(7)) + 0 + sqrt(567).\nAnswer: 24*sqrt(7) + 445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -3*a. Let s(v) = 170*v + 2. Give d(s(w)).\nAnswer: -510*w - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = 6604384.9199061477 + 3.0800618523. Let w = d - 6604252. Let a = w + -136. What is a rounded to 6 decimal places?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) be the third derivative of q**3 + 10*q**2 + 0 - 1\/24*q**4 + 0*q. Let n(o) = 5*o**2 + 2*o - 1. Let l be n(1). Determine g(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -135881 minus -29?\nAnswer: -135852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -178 - -168 - (-34 + 1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 184637 - -4?\nAnswer: 18463b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 3*i**2 - 12*i - 960. Let r be q(21). Solve 3*l - 90 = -r for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 2*d**2 + 11*d - 47. Let c be z(-12). What is c rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5 - 10. Let y = 123 + -122. Sort y, 3, d in decreasing order.\nAnswer: 3, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4039?\nAnswer: 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -1, -11, 7, 4, -372 in descending order.\nAnswer: 7, 5, 4, -1, -11, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 20664 and 2051?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) be the third derivative of f**6\/24 - f**5\/60 + 3*f**4\/8 + 222*f**2. What is the second derivative of m(c) wrt c?\nAnswer: 30*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -20704.47 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = -8 - -5. Let o be (1 - 0) + (-13)\/1. Let q be 2\/p*o - -2. Which is bigger: 11 or q?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (8*r + 2 - 2)*(r + 3 - 3) + 0*r**2 - 2*r**2 + 3*r**2 + (-r - 3*r + 2*r)*(-2*r + 0 + 0) to the form u + g*r + n*r**2 and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) be the second derivative of 0 + 1\/6*l**4 + 0*l**2 + 0*l**3 + 26*l - 1\/10*l**5. Suppose h(m) = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -329\/10 + 230\/7. Calculate the common denominator of 5\/28 and i.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -89 + (-7 - (39 + (-19 - 0) + -16)).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v\/(v*v\/((v*v**(-7))\/v))*v)\/(v**(-1\/5)*v*v)*v**1*v*v**(5\/4))**(2\/39))**(-3\/22) assuming v is positive.\nAnswer: v**(111\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 28 = -4*j + 4*m, 0*j - 5*j - 19 = 3*m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/5, -2.79, 5 in increasing order.\nAnswer: -2.79, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = -3*l - 5*a + 14, l = -2*a + 5. Let x be (2\/(-4))\/(l\/(-54)). Let d = -2 - x. What is the remainder when 19 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 10, -119, -1, 0.6?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -52, 81, -1, 216, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 14, 14, 6, -16, -58, -126, -226, -364?\nAnswer: -546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 134 + -86 + (18 - -2 - -24)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/t**(-18)*(t*t**(-3)\/t*t*t)\/t)**24 assuming t is positive.\nAnswer: t**408","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.3 in -1\/16, 1\/5, 6, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -425, -457, -497, -545, -601, -665?\n\"Answer: -4*x**2 - 20*x - 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 881, 2, -2, -7\/4, -5, 0 in increasing order.\nAnswer: -5, -2, -7\/4, 0, 2, 881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = -3, -3*f - 21 = -0*f + 5*p. Let g be ((-4)\/(-4))\/(1\/f). Let z = 0.2 - -0.3. Which is the closest to g? (a) z (b) 0 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 174914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1936 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*t - 7*t - 2*t + (-2*t - t + 2*t)*(3 - 3 + 2))*(1 + 0 + 1)*(3 - 2*t - 3).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 125294 and 48373?\nAnswer: 7642934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -2*b**2 + 2*b. Let u(t) = 10*t**2 - 11*t. Let f(m) = 11*o(m) + 2*u(m). Let l(k) = -14*k**2 - 2*k. What is f(l(p))?\nAnswer: -392*p**4 - 112*p**3 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:34 PM and 8:55 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -16, 8, 1, 2 in decreasing order.\nAnswer: 8, 2, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) be the third derivative of o**4\/4 - o**3\/3 + 20*o**2. Let s be t(1). Let g = -1 - -6\/5. What is the smallest value in -3\/7, s, g?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 88118, 176206, 264296, 352388, 440482, 528578, 616676?\nAnswer: 704776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*j - x - 10708, 16*j - x = 18*j - 7147. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*w - s = -7, -2*s - 21 = -2*w + s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh biggest value in -4, 2, -263, -3\/6499, 0, -2\/11, -1?\nAnswer: -263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -65 + 73 - (-559)\/(-26).\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1899108353.\nAnswer: 101, 18803053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -k**3 - k**2 + 4*k - 1. Let u be 4\/18 - 116\/36. Let f be t(u). Let j be (4\/f)\/2*-5. Which is the third smallest value? (a) 0.5 (b) j (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p**(1\/14))\/p*p*p**(-2\/3))\/(p**(3\/13)*p*p)**(-4\/11) assuming p is positive.\nAnswer: p**(7303\/6006)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -263745 - -7?\nAnswer: -26373b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - 3*g - 261 = -w, -4*w + 4*g - 356 = 0. Let f = -48 - w. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p - 120 = -n - 131, p + 0*p = -12*n + 53 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 322 minutes after 1:02 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12524\/(-1212) - 104\/(-24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + 2*w = 2, w = 3*w + 10. Let n = 58 - u. What is the remainder when n is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 251711 (base 14) in base 3?\nAnswer: 2101121122220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 28248, 28280, 28364, 28524, 28784, 29168, 29700?\nAnswer: 30404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -215 - -132. Which is greater: r or -85?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6062779023.\nAnswer: 3, 7, 43, 6714041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 30993771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -4*b**2 + 675084*b - 1469568?\nAnswer: -8*b + 675084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -207*q**3 - 52*q**2 - 8*q - 2.\nAnswer: -1242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c\/c**(-4)*c**(-1\/12)*c**(-6\/11)\/c**(9\/4))**(-6) assuming c is positive.\nAnswer: c**(-206\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -730459, -1460916, -2191385, -2921872, -3652383, -4382924, -5113501?\n\"Answer: -r**3 - 730450*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 34920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5927.0025 - 5921. Let j = 6 - n. What is j rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand j**2 + j**2 + 0*j**2 - 2*j + (2*j - 2*j - 3*j)*(48914 - 48914 - 192*j).\nAnswer: 578*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1968 and 80.\nAnswer: 9840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or -4\/103?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -4*z - 2. Let l(s) = 7*s + 3. Let j(r) = 8*r + 3. Let w(t) = 2*j(t) - 3*l(t). Let p(o) = -6*q(o) + 5*w(o). Differentiate p(d) wrt d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 99 = 5*s, -3*h = -6*h - 3*s + 135. Let j be 3\/42 - (-18)\/h. Suppose -3 = -y + 4*a - 6, 0 = 4*y + 5*a + 12. What is the nearest to j in 2, y, 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2086863869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -110201122 (base 3) to base 13\nAnswer: -42b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 21\/15321485 and -17\/25?\nAnswer: 76607425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) be the third derivative of b**6\/120 - b**5\/60 - b**4\/6 - 4*b**2. Let v(z) = z - 4. Let h be v(7). Is g(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 3*y**3 + 44*y**2 - 19*y - 54. What is h(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (-5*(0 + 2 + sqrt(1539) + sqrt(1539)*1 - -6*(-4 + sqrt(1539)*-1)))**2 + -5.\nAnswer: 39600*sqrt(19) + 627693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 40255267.34 to the nearest one million.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find p, given that -2*p**2\/9 + 36460*p\/3 - 437488\/9 = 0.\nAnswer: 4, 54686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 12 and 392\/24 - (-1)\/(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -916 + 1320. Suppose -149 + v = 15*n. Is 19 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2.79 - -147.79. Let o = 145.05 - v. Suppose -l = 3*l. Are l and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 408\/32*(-8)\/(-3). Let n = h + -26. Let p be (n\/(-12) - (-3)\/(-9)) + 16. Solve -w = 3*m - p, w + 9 = 4*w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 10117?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xc when two letters picked without replacement from {z: 2, u: 2, r: 1, c: 1, x: 1, i: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 2443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -2*d - 4*p, -4*p - 12 + 0 = 3*d. Let f(b) be the first derivative of -3\/2*b**2 + 6 - 3*b. Calculate f(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14795251 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: -1 divided by -491583\nAnswer: 1\/491583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -0.3 (b) -13 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 3873306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: ((-4144)\/(-280))\/((-20)\/(-50))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-247 - -206) + 4 + -32?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*o + 0*o + 5*o)*(8 - 5*o**3 - 8) - o**4 + 3*o**2 - 3*o**2 - 1 to the form j*o**4 + m + t*o**2 + w*o**3 + a*o and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*w = 58*w - 62 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11947*w**3 + w + 1123*w**3 - w.\nAnswer: -10824*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -61\/123 and (-62)\/(-55) - 42\/105.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -29\/372 and -82\/4521.\nAnswer: 560604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -8*(-2)\/(-4) - 2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 1, y: 6, s: 1, t: 3, g: 1, u: 1}. What is prob of picking 1 t and 1 i?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-1 + 4 - 2)*(-2*n - 4*n + 5*n) - 2*n - 2*n + 2*n)*(n + 0*n - 2*n) + (4 - 7 + 6)*(-3*n**2 + 0*n**2 + n**2)*(2 - 3 - 1 + (-4 + 1 + 2)*(0 + 3 - 1)).\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = l**2 + 8*l - 5. What is o(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 990866?\nAnswer: 2, 495433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = 472 - 391. Calculate the smallest common multiple of w and 99.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -s**5 + 781*s**4\/2 - 65943*s**3\/2 - 2339*s**2\/2 + 196285*s\/2 + 65949 = 0. What is s?\nAnswer: -1, 2, 247\/2, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) be the first derivative of -7*g**6 - 15*g**2 - 3*g - 122. What is the second derivative of d(k) wrt k?\nAnswer: -840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -255 + 270. Suppose -13 = -5*g + 17. What is the derivative of -w + 2 + g + 5 + 6*c wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -18, -372, -1038, -2028, -3354, -5028?\nAnswer: -7062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -19*d. What is the units digit of g(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -856189226 take away 0.0512?\nAnswer: -856189226.0512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -15, -3, 138, 5, -5?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1924793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 122822656 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 2 + 30*r - 65*r + 36*r. Let o(n) = -10*n - 24. Let z(j) = -o(j) - 12*p(j). Let m(b) = 3*b. What is m(z(c))?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-1)\/(-4 + (-9)\/(-2)) - -458.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 74228 is divided by 663?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 18 = -5*w, 0 = 3*w + 2*w - 10. Suppose 50 = 3*v + 5*k, k + 0 = q. Find the second derivative of -12*s**4 - v*s + 0*s + 11*s**4 wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -10616 or -26284?\nAnswer: -10616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17 + 1859*c - 378 + 1866*c + 44 - 81 - 3729*c.\nAnswer: -4*c - 432","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 171 and 5358.\nAnswer: 16074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = -367 - -100.9. Let l = i + 266. What is the closest to -1 in 7.2, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8 - 4) + -9 - (-23 + -1 + 2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 1131*h**3 + 117*h**2 + 117*h - 117. Let i(l) = 39*l**3 + 4*l**2 + 4*l - 4. Determine 117*i(g) - 4*v(g).\nAnswer: 39*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 2*v - 763. Let a(o) = 1. What is -5*a(x) - m(x)?\nAnswer: -2*x + 758","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 1110011010 (base 4) to base 6.\nAnswer: 11214220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.17 * -15485\nAnswer: 2632.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 43486725 divided by -19.\nAnswer: -2288775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -13042 + -3?\nAnswer: -13100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5 - 3. Suppose -p - 4*v + 7 = -10, y*v + 107 = 5*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -h**2 - 9763*h + 11152268.\nAnswer: -(h - 1033)*(h + 10796)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be 102\/(-85) - (-434)\/(-5). What is the remainder when 251 is divided by (3 - f\/(-24))\/((-1)\/42)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 53956, 53959, 53962, 53965, 53968?\n\"Answer: 3*n + 53953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -742 (base 16) to base 5.\nAnswer: -24413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -17*c + 3. Let h(q) = 148*q. What is h(f(i))?\nAnswer: -2516*i + 444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 1319 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*z + 145 = -6*z. What is the second smallest value in z, -4\/7, 8.42?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express ((6 - 2 - 1)*(-3 + 2 + 0) + 0 + 2 - 3)*(2*d + d - d) + (-3 + 4 + 0)*(-2*d + 2*d - d) + 0 + 0 - 3*d + 6*d + 6*d - 3*d as q + y*d and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2.376 - -0.614. Let i = 0.01 + u. Let h = 1 - i. Put -1\/4, 3, h in increasing order.\nAnswer: h, -1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -30122*y. Let x(p) = 416*p**2 + 18. Determine x(s(m)).\nAnswer: 377451311744*m**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -3 - 4 + 4 + 4. Let x(c) = c + 0*c + c + 1. Let t = -8 + 9. Give t*x(j) - 3*r(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-12795)\/(-7677))\/((-1)\/9*-35).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1160 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2 + -1. Let n be h + (-45*5)\/3. Let g be 4\/(-10) + n\/(-10). What is the greatest common divisor of 28 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**0*g)\/g**28)\/(g*g**(-1\/28)*g)**(-30) assuming g is positive.\nAnswer: g**(447\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 753510.\nAnswer: 2, 3, 5, 25117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 5093*l**3 - 8*l**2 - 62*l + 198. Is p(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*w**2\/3 - 23126434*w\/3 - 46252844.\nAnswer: -2*(w + 6)*(w + 11563211)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(66)*2*-4)\/((sqrt(36)*-1 - sqrt(36))\/sqrt(6)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) be the first derivative of -p**3\/3 - 11*p**2\/2 + 29*p - 83. Let o be q(-13). Let 3\/4*l**2 + 3\/4*l**4 + 0*l + 2*l**o + 0 - 1\/2*l**5 = 0. Calculate l.\nAnswer: -1, -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -145, -595 in decreasing order.\nAnswer: 3, -145, -595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 13233331 (base 5) to base 4\nAnswer: 200213113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = s**2 + 5*s. Suppose 2*z = -z - 21. Is b(z) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 57 - a**2 + 51 + 30*a + 4*a. Is k(35) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (9\/12)\/((-81)\/(-864))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u + 1456*g - 1460*g = -22, -4*u = -5*g - 31 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 14, 33, 58, 89?\n\"Answer: 3*w**2 + 10*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + 1)*(3*j + 4 - 4)*(29 - 1176*j**3 - 6136*j**3 - 65 + 36).\nAnswer: -21936*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1 - -d?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l be (4 - 2) + 1 + -1. Suppose 9 - l = n. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -129*u - 79*u + 357 + 587 - 113 wrt u.\nAnswer: -208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = 2*g**3 - 5*g**2 + 2*g + 1. Let r be k(1). Solve 0 = 5*w - r*w - 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2004 + 13.26.\nAnswer: 13.0596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 140.3708 and -279383741?\nAnswer: 279383881.3708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = -7 + 4. Let j be k\/(-6)*(-1 - 1). Let n(a) = 24*a**3 - a**2 - 2*a - 1. Let p be n(j). Is -24 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) -2 (b) 0.009 (c) -3\/2 (d) 27 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from lvaa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = 17 + -7. Let a be (l\/8 - 2)*-4. Let t = 2222 + -2221. Solve 2 = a*n - t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -102*b + 31*b - 68 + 3175 + 940 for b.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -42.9 + 80.5. Let v = t + -53.5. Let q = 1.1 + v. What is q rounded to 0 dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -60*((-4818)\/440)\/73?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/((-96)\/(-72)*(-27)\/132)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 103\/950 and 33\/11305?\nAnswer: 113050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*q + q - q)*(59 - 130 - 197)*(-3 + 3 + q) + (2 - 2 - 2*q)*(-2*q + 0*q + 0*q) + 3 + 2*q**2 - 3.\nAnswer: -798*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -8 - 517\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -1269*l**3 - 3*l**2 - 3*l + 3. Let u(d) = -2537*d**3 - 8*d**2 - 7*d + 7. Let w(f) = 7*t(f) - 3*u(f). What is the third derivative of w(v) wrt v?\nAnswer: -7632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n + 10 - 22 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v, 1 w, and 1 i when three letters picked without replacement from iaaaiagtavwaawg?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -304, -917, -1838, -3061, -4580, -6389, -8482?\nAnswer: -10853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/1486581 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 6, 16, 32, 54, 82, 116, 156?\n\"Answer: 3*q**2 + q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -565.5 and 0.057?\nAnswer: -32.2335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 590411745?\nAnswer: 3, 5, 7, 11, 170393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.3 - -0.3. Let s = 3 + d. Let m = 2.99984 - s. What is m rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k, 1 j, 1 h, and 1 s when four letters picked without replacement from {t: 1, j: 2, h: 2, k: 5, s: 1, r: 2}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = z - 9. Let j be 156\/21 - (-3)\/(-7). Suppose -87 - 25 = -j*d. Let f be i(d). Calculate the highest common divisor of f and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -66 + 67. Suppose 25 = 4*g + s. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7390415.\nAnswer: 5, 1478083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2669415443.6 + 50.\nAnswer: 2669415493.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 156193 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -255 = 38*m - 109 + 82 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -216, 37203.5, -5.\nAnswer: -216, -5, 37203.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = v**3 + 4*v + 1065. Let d be b(0). Suppose -r = -0*r + 3, 2*r = -3*i + d. Suppose g + 70 - i = 4*o, 5*o = -g + 323. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 4*m**2 + 4*m + 175. What is r(0)?\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 128100 to the power of 1\/2, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = -328 + 335. Suppose -5*y + 5650 = 5*t, -g*t + 1130 = -6*t - 2*y. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-2)*r)\/((r\/(r*r\/(r*r**(-2\/17))))\/r))\/(r\/((r**(-4)\/r)\/r)*r*r**2\/r) assuming r is positive.\nAnswer: r**(-151\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*q + 3*q - q)*(10*q**2 - 3*q**2 - 11*q**2 + (-q - q + 3*q)*(3*q + 3*q - 4*q)) to the form v*q**2 + y*q**3 + u + j*q and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1 + 2 + 171*s**4 - 168*s**4 wrt s?\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8046 is divided by 219.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -340 - 618?\nAnswer: -958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -5929*a + 2. Let i(z) = z**2. Determine f(i(m)).\nAnswer: -5929*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide (-27895)\/(-49) - (-132)\/(-462)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -27*x + 3. Let w = 7 - 10. Let y = -1 + w. Is c(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (69 + -6 + (32 - 38) - -6) + (-1 - 7).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -119791 by 17113.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 57126162?\nAnswer: 2, 3, 2141, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 28*y**2 - 5*y + 4. Is d(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0060750813 to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = -279\/163 - -263119\/154198. Let w = n - -12552\/3311. Calculate the common denominator of w and -5\/38.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7724465 is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2507 + 3950. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gyyy when four letters picked without replacement from {a: 2, y: 4, r: 1, g: 4, j: 2, b: 2}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.208 plus -4112624375.69?\nAnswer: -4112624375.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 1 = -3*o, 2*o - 4*h = -o + 25. Suppose -o*d - 2*z - 1679 = 0, 4*d - 219 = -3*z - 2459. Let m = 182 - d. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 53e + -65?\nAnswer: 4c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f, 1 i, and 1 m when four letters picked without replacement from fmmmmmmimfmaimfm.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -63*l**2 - 8 - 60*l**2 + 5*l - 54*l**2 + 178*l**2 to the form c + z*l**2 + a*l and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9*6*(-13)\/1872.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n + 3*x - 51 = 27, -2*n + 44 = -2*x. Solve 2*l - n + 8 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(30)\/(sqrt(1000)*-2 - sqrt(10)) + (((sqrt(3) - sqrt(3)*2) + sqrt(3))*5*-1)**2.\nAnswer: -sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 65 + -28. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (0 - -2) + -1 + 2. Let x = 173 + -113. Is 1 + (x - 4) + z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/2*(-3 - -11). Let l = k + 11. Let d be 2\/7 + (-780)\/(-210). Solve d*g + 12 = 0, -2*z = 3*z - l*g + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 150*x - 4*x**3 - 486*x + 6*x**3 + 336*x.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/632)\/(1*21\/(-168)).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 49595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*w - 4 = 46 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 593, 5, -312805 in decreasing order.\nAnswer: 593, 5, -312805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 580?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + -5 + (-1 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 550 - -192. What is the remainder when k is divided by 241?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 0 + (-6)\/(-8) - (-1309)\/(-28). Let j = 59 + w. Calculate the remainder when 244 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 - 74 - (933 - 848).\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 74 not equal to 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:12 PM and 9:17 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 4*x**2. Let q be a(-1). Sort q, -5, -3.\nAnswer: -5, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -15 and -1542.01.\nAnswer: 23130.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3\/(-15)*(27 + -27). Let l(v) be the second derivative of 0*v**2 + 1\/21*v**4 - 2\/105*v**6 + y + 15*v - 1\/35*v**5 + 2\/21*v**3. Solve l(g) = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 63\/515 and -34\/4635.\nAnswer: 4635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*j - y - 4, -8 = 3*j + y + y. Solve j*n - 3 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -52 + 55. Suppose 0 = i*l - 5 - 10. Solve 4*d - 10 = k + 4*k, l*k = 5*d - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2*(-4)\/40 - (-20748)\/(-35). Let a = k - -1057. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6922970 divided by 3461485.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 4404314192 plus -0.4529?\nAnswer: 4404314191.5471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:48 AM and 1:51 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (1 + -3 + 1)*47043\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) be the second derivative of -v**4\/12 - v**3 - 6*v. What is k(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/4*4\/(-18). Let o = 1.5 - 1.4. Sort o, -0.4, n.\nAnswer: -0.4, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -38 + 39. Let x(l) be the third derivative of 1\/4*l**4 + 2\/3*l**3 + 0*l + 0 + 14*l**2. Let n(c) = c**2 + c + 1. Determine o*x(r) - 4*n(r).\nAnswer: -4*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/601 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -8*k**2 + 12*k**2 + 15*k**2 + 13*k**2 in the form t*k + q + n*k**2 and give n.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -2*k**3 + 42*k**2 - 39*k + 14. What is the remainder when 76 is divided by z(20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-78)\/117 + 8\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4\/(-26) - (-119)\/13. Let k(u) = -u**3 + 3*u**2 + 1. Suppose -5*b = -0*b - 15. Let r be k(b). What is the highest common divisor of f and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 22, 1\/2, 5, 223.8, -2\/15 in decreasing order.\nAnswer: 223.8, 22, 5, 1\/2, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 3*u + 3. Let k be a(4). Let h = -38 + 33. Does 12 divide 2 + h\/(k\/(-102))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29\/5 of a meter in centimeters?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 + (31 - (13 + -1)) + 33 + 52.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 416\/520 - (-282)\/(-15).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nun when three letters picked without replacement from nnnnnunuunnunnnnunnn.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-73)\/(-438) + (-22)\/(-12). Solve 2*h + 2*g - 14 = 0, 0 = -j*h + 4*h + g - 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3235 + 26 - 1120)*(3*s - s**3 + 2*s**4 + s**3).\nAnswer: 4282*s**4 + 6423*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/((u**(-6)*u)\/u*u))**(16\/11)*u**(-7\/3)\/u**(-17) assuming u is positive.\nAnswer: u**(772\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = 6 + -4. Let o be -3 - (b*-1 + 2). Let n be ((-3)\/(-2))\/(o\/(-16)). Solve n - 2 = -2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) be the first derivative of h**5\/20 - h**4\/12 - h**3\/2 - 3*h**2\/2 - 13*h + 1. Let t(u) be the first derivative of x(u). Determine t(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (9569 - 4759 + 9248)*(5 - 4 - 3)*(4*s + 3*s - 5*s).\nAnswer: -56232*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 193 and -0.043?\nAnswer: -8.299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*f**5 - 6*f**4 - 1260*f**3 - 7176*f**2 - 14016*f - 9216.\nAnswer: 3*(f - 24)*(f + 2)**3*(f + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -65461, -131109, -196755, -262399, -328041, -393681, -459319?\nAnswer: -524955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -t**3 - 5*t**2 - t + 3. Let f(d) be the second derivative of d**3\/6 + 3*d**2 + 6*d. Let z be f(-11). Determine y(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 196832?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 929.99 * -192.9\nAnswer: -179395.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 178*g**3 - 573*g**2 - 158*g - 44. Let y(p) = -36*p**3 + 114*p**2 + 32*p + 8. Let q(b) = -2*v(b) - 11*y(b). Let q(s) = 0. What is s?\nAnswer: -3\/10, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 11*z**2 - 55*z - 23. Let d(r) = -5*r**2 + 25*r + 9. Let f(s) = 4*b(s) + 9*d(s). Determine f(10).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = o**2 + 72*o + 4. Let q be m(0). Let w be 2\/11 + 75\/11. Sort -3, w, q.\nAnswer: -3, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -9*a + 28. Let c be q(3). Let g(y) be the first derivative of 38*y**3\/3 - y**2\/2 + 1. Is g(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 16*g**5\/9 + 3868*g**4\/3 + 2099588*g**3\/9 - 528044*g**2\/3 - 58564*g = 0. Calculate g.\nAnswer: -363, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 35.20474 milligrams in micrograms?\nAnswer: 35204.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -12738*m = -1289*m - 675491 for m.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 37994840 at least 37994841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -p**3 - p**2 - 10*p - 32. Let z be o(-3). Solve z = -w + 19 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*z + 20, -26 = 4*y - 2*z - 36 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -4 - (3 + -5 + 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*i + 6*i - 6, 0 = 5*y - 2*i - 461. Suppose 0 = 3*l - 6*l + y. Suppose l = h - 8. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 862904 to the power of 1\/2, to the nearest integer?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 525008042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) be the third derivative of s**6\/2340 - s**5\/780 - s**4\/78 + 15*s**3\/2 + 50*s**2. Let h(c) be the first derivative of k(c). Factor h(b).\nAnswer: 2*(b - 2)*(b + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -203415 - 50?\nAnswer: -203505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2934666?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) be the third derivative of d**7\/1050 + d**6\/150 - d**5\/25 - 2011*d**2. Solve v(k) = 0 for k.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 4\/9, 1, 0, -2, -483, -45?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0\/(-25) + 4\/(-18)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -82*i + 3*o = 44*i - 17*i - 177 + 534, i = 7*o - 73 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2 + -1 - (1 + -2). Let o(n) = -3*n**2 - n - 6. Let g be o(-2). Let d be (1\/26)\/(-3 + (-44)\/g). Sort -1, p, d in descending order.\nAnswer: p, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -7876, -10706, -13522, -16318, -19088?\n\"Answer: l**3 + l**2 - 2840*l - 5038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 l and 1 n when four letters picked without replacement from {n: 1, t: 4, l: 3, w: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 4 + 898*h + 7485*h + 7275*h.\nAnswer: 15658*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5\/28*-4)\/((-4)\/7).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - -3 - (4 - 6 - -4 - -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = h**2 - h + 4. Let m be w(4). Suppose -i - 2*q - m = -58, 5*q + 7 = i. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 806361 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 2*a + 28. Let t(y) = -1734*y**2. Determine s(t(f)).\nAnswer: -3468*f**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-51 - -30) + -27 + 30.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -641, -595, -519, -413, -277, -111, 85?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -u**2 + 3*u + 32. What is h(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 32\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 18*p**2 - 3*p - 3. Suppose 2*o = -2*o + 44. Suppose -5*j - o + 1 = 0. Does 25 divide l(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 157108078.\nAnswer: 2, 23, 3415393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 698682, 698680, 698678, 698676, 698674?\nAnswer: 698672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3\/160 - -293\/1440. Let j = 252765\/136 - 31602\/17. Let g = -3 - -8. Which is the third biggest value? (a) j (b) g (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2899 and 462?\nAnswer: -1339338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 53 divide 172668011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.04 - -0.2. Let a = -0.04 + v. Let h = 9 - 16. Is a at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 25379678*b**3*w + 16*b**2*w - 6*b**2 - b*w - 2*b - w + 13 wrt b.\nAnswer: 152278068*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11650 is divided by 51.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) 58 (b) 0 (c) -0.3 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 43447688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = i**3 - 12*i**2. Determine p(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 41*u**3 + 5*u + 1743?\nAnswer: 123*u**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -23*((-11)\/11)\/((-14)\/(-14))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = h**3 - 57*h**2 + 2*h - 79. Calculate u(57).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 52, 1\/8, -0.1, 2 in descending order.\nAnswer: 52, 2, 1\/8, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) be the first derivative of -67*m**2\/2 - 22*m - 4. Let f be s(-3). Suppose 37*x + f = 38*x. What are the prime factors of x?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 701\/8184 - -10\/93. Find the common denominator of i and -13.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*c = 10*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*b - 2*r, -3*b - 3 + 0 = 3*r. Suppose 6*d = -3*x + 3*d + 87, -b*x = -4*d - 34. Calculate the remainder when 49 is divided by x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y*y**20\/y*y)\/y*y**(-4)*y assuming y is positive.\nAnswer: y**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 918955 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (603\/(-33) - 2) + (-9 - -31)*1\/2.\nAnswer: -102\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1304 - 4144043?\nAnswer: -4200402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(-6)*(20\/4)\/(-50)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/h**(2\/25))\/h**(2\/17)*((h**0*h)\/h*h)**(-32) assuming h is positive.\nAnswer: h**(-13259\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-2)\/(-24) + (-131205)\/(-180).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -267*n + 341*n + 190*n + 162*n + 449*n.\nAnswer: 875*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1\/2, 5\/4, 2\/113, 1, -0.4, -0.0791, -5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4952148 decades to millennia.\nAnswer: 0.004952148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 + (7 - 6) + -16.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = i**2. Suppose 28 = 4*s - 4*m, -7*s + 2*m = -2*s - 20. Let a(b) = 7*b - b - 3*b - 5 + s. Determine a(g(v)).\nAnswer: 3*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -q**2 + 1 - 5*q + 3*q - 5*q. Calculate the least common multiple of n(-7) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 130 = 4*b + 150 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -99 plus 57173705?\nAnswer: 57173606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b = -h + 12, -3*h + b = -3 - 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 5*m**2 - 3*m + 3. Let u(t) = -t**3 + 4*t**2 - 4*t + 2. Let p be u(2). Let h be n(p). Let w = h - 4. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -206 + 211 - (9 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 45*m - 681672 - 1210263. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 10*h + 141. Give p(-9).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 79 a factor of 3359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 52\/7 and -13\/184?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21*f + 5 - 9*f + 0*f - 9*f - 5.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.3 + 324.\nAnswer: 323.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + 27 = 7*a - 3*a, -3*a + 14 = -k. Suppose 5*t + 7*w = a*w + 276, -1 = w. Suppose 2*v + t = 6*v. Calculate the remainder when 41 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -618, -534, -450, -366, -282, -198?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1 + -4 + (-6)\/3. Let g = 9 + b. Solve 2*a - g = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5 + 120883?\nAnswer: 120888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0, -2\/3, -0.0266, 0.2, 2886?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the first derivative of f**6\/72 - f**5\/60 - 14*f**3\/3 - 18. Let c(k) be the third derivative of y(k). Solve c(g) = 0 for g.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -7.007 - -0.007. Let k = -10 - -2. Let b = k - h. What is the third smallest value in 1, b, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1221677416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -m**2 - 566*m + 2283. Determine b(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 327*v + 565*v + 9771 = -16989 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -65*d. Let z(o) = -50152*o**2 + 2*o - 45. Give z(v(n)).\nAnswer: -211892200*n**2 - 130*n - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 13031 (base 6) in base 13?\nAnswer: b80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2175600 divided by 31080.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 2.856 rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = 15965\/17 - 939. Factor -4\/17*v - u*v**3 + 0 - 6\/17*v**2.\nAnswer: -2*v*(v + 1)*(v + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -147, 722, 4, -5\/3, 1.1?\nAnswer: 722","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor u**3 - 1370*u**2 + 8193*u - 12276.\nAnswer: (u - 1364)*(u - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 687 - 2001 = -3*p, u - 3579 = -4*p. Suppose h + p = 5*i, 7*i - 10*i - 4*h = -560. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (8 - (0 - 7 - (-28 + 27))) + -84?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tgg when three letters picked without replacement from ttgtgttttgtttttttttt.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Add together -38 and 0.031.\nAnswer: -37.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3 + -1. Let p(z) = -z + 2*z**u + z. Let v(i) = i**2. Calculate p(v(n)).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 1443*h - 514. Is o(21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(176) + sqrt(176) + sqrt(176) + -3 + sqrt(176) + 3 + -1)**2.\nAnswer: -32*sqrt(11) + 2817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Are -517 and 4\/5855 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = g + 16. Let o be l(-11). Let k(f) = -2*f**3 - 2*f**2 - 2*f - o + 4 - 1 + f**3. What is the units digit of k(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 234, 336, 438, 540, 642, 744?\n\"Answer: 102*q + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 50 and 198060?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 5311997*18\nAnswer: 95615946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.05 - 0.01. Let s = 3553 - 3550. What is the biggest value in -2, s, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -o**2 + 126*o + 1809. Give j(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ffg when three letters picked without replacement from fgggfff.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 464445 and 2115.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 5, f: 7}. Give prob of picking 1 f and 2 x.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*g + 7 + 1. Let z(y) = -g*y**2 + 0 + 3 - 3. Let d(a) = 2*a + a - 2*a. Determine z(d(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 450*v = 451*v, 2*b - 4 + 12 = 792*v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*p**5 + 83*p**4 - 6316*p**2 + 18551730*p + 1.\nAnswer: 60*p**3 + 996*p**2 - 12632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out 720220680.86 - -0.0854.\nAnswer: 720220680.9454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:48 PM and 9:16 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) be the first derivative of -c**3\/3 - 4*c**2 - 7*c - 2. Calculate the remainder when 22 is divided by s(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-25)\/(-68) - 2\/17?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-110220)\/845625 + 132\/902.\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -71 + -131?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 603, 604, 605, 606?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1953 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*u + 5*u = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -151.872 - -152. Let s = 0.072 + t. Which is the nearest to s? (a) -0.4 (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 228 (base 11) to base 12.\nAnswer: 1a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*z - 4*z + 0*z)*(11 + 20 + 22) + 2*z - 4*z + 3*z to the form v + l*z and give l.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t + 5*o - 40 = -19, o - 6 = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -17243585 - 16.6?\nAnswer: -17243601.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -34152 (base 6) to base 3\nAnswer: -20121112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 112 - 78. Let t = j + 116. What is the tens digit of (-3)\/(-18)*3*t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -228 - -7?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 8341160 and 500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2 + 1\/((-28)\/30 + 1). What is the greatest common factor of 68 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = -0*d - 4*d + 265, -d = 5*a - 72. Suppose 2*k = 15 + 81. Let t = d - k. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = t. Suppose 0 = -6*f - 2*f + 16. Suppose -3*w - 4*j = -0*j + 14, -3*j - 19 = -2*w. Let k(m) = 4*m**2 + 0*m**f - m**w. What is k(c(v))?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = -13 + 7. Let u = q - -16. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (38\/(-40) + 1)\/((-15)\/(-60)). What is the second biggest value in -5, -3, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3729 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = v**2 + 6*v - 7. Let d be r(-9). Suppose -5*l = -0*l - d. Let k = 43 - 31. What is the greatest common divisor of k and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10516623 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 2 = -2. Suppose 0 = -5*k - 2*j + 15, j + 4 = -u. Suppose -k*f = -2*f. Which is greater: -2\/25 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1.065 - -0.065. Let q = j + 1.09. Let s = -10 + 3. Which is smaller: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 46 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = -14 - -16. Find the first derivative of 4*u**2 - 6*u**b - 5*u**2 - 1 wrt u.\nAnswer: -14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 843002.7ug?\nAnswer: 843.0027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 128 minutes after 1:51 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -b + 2. Let t be n(0). Suppose s + t = 6. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 3128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in four thirds of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract -4578329770 from 10259.\nAnswer: 4578340029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -517 (b) 1\/4 (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12 + 3 - 6356*p + 0.\nAnswer: -6356*p + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 0*d - 4 = 3*d, 2*x - 2*d - 12 = 0. Let f(g) = -15*g + 11. Let t(p) = -3*p + 2. Let v(s) = x*f(s) - 11*t(s). What is v(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -180.24 + -2.76. Let p = 183.121 + l. Let t = p + -0.111. Which is the closest to 0.1? (a) 3 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 6*c**3 + 8*c**2 + 8*c + 8. Let w be 5915\/27 - 12\/162. Let h = w + -216. Let t(d) = -d**3 - d**2 - d - 1. What is h*n(k) + 24*t(k)?\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -508*l = 5*b - 505*l - 354600, b + l = 70918. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tcfncnftcfnnnff. Give prob of sequence fnc.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 364 greater than 3651\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2306, -4640, -6988, -9350?\nAnswer: -11726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 325 minutes before 6:03 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -220 - 345 - 557 + 21*x**2.\nAnswer: 21*x**2 - 1122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find k such that -12\/11*k**4 + 144\/11*k**2 + 216\/11*k - 2\/11*k**3 + 32\/11 = 0.\nAnswer: -2, -1\/6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -273*o + 270*o - 2*g = 14, -2 = 5*o - 2*g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a be (94*1\/2)\/1. Let t be 21244\/(-678)*-18*(-2)\/(-3). What is the greatest common divisor of t and a?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 3*b + 4. Let n(s) = -s + 7. Suppose -2*x - 3*o + 9 = -0*o, 3*o = -x + 3. Let k be n(x). Suppose 4 = -h + k. Give m(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 4\/(-8)*(-8)\/22. Let c = r + 7\/22. Factor c*w**3 + 1\/2*w**2 + 0 + 0*w.\nAnswer: w**2*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 803 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -29, -0.4, -4, -2\/3, 49349 in descending order.\nAnswer: 49349, -0.4, -2\/3, -3, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/(m\/(m**(-3\/4)\/m))*m)\/m)\/((m*m**(3\/20))\/m)*(m\/((m**(-19)*m)\/m*m))\/(m\/(m*m*(m**(5\/2)*m)\/m)) assuming m is positive.\nAnswer: m**(103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 199754, 399471, 599188, 798905, 998622, 1198339?\n\"Answer: 199717*v + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 11110001011100 (base 2) to base 11.\nAnswer: 10678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 3830.27 minutes to nanoseconds.\nAnswer: 229816200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is i in -2*i**4\/9 + 2*i**3\/9 + 26*i**2\/9 - 2*i\/9 - 8\/3 = 0?\nAnswer: -3, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*-1*(sqrt(153) + -1).\nAnswer: -18*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 5\/2657957 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) be the third derivative of -x**5\/60 - 2*x**2. Let n(g) be the first derivative of 2\/3*g**3 + 0*g + 1 + 0*g**2. Calculate n(j(z)).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 6 - 2)*(1 + 4 - 1)*(2 - 2 - m).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 860382482*q**2 + 152*q + 224255.\nAnswer: 1720764964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g**5\/5 + 4077*g**4\/5 + 28653*g**3\/5 + 45099*g**2\/5 - 5730*g - 49176\/5 = 0.\nAnswer: -4, -3, -1, 1, 1366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/105 + -374*206\/(-3493245)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -q + 2*q. What is the closest to 2 in -3\/2, q, 0.03?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = b**2 - 343. Let a be t(18). Which is smaller: a or -109\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -53 (base 15) to base 9.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*t**3 + 3213*t**2 + 4*t + 1539?\nAnswer: 18*t + 6426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 53 divide 80261780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 597120048 a multiple of 477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (50\/(-225))\/((-15)\/(-1260)*14).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1.18 (b) -34 (c) -1 (d) 1\/8 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Determine v so that 2*v**3 + 44*v**2 - 102*v - 144 = 0.\nAnswer: -24, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 30127758.\nAnswer: 2, 3, 409, 12277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -189\/2318 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -c**2 - 2*c + 4. Suppose 3*q + 4 - 13 = 0. Let g be k(q). Let p be g\/(-2) + (-3)\/6. Solve 0*t = -t + p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 77\/148 and 1\/976.\nAnswer: 36112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let 2*q**3 + 6504186*q**2 + 5288064196590*q + 15864134052150 = 0. Calculate q.\nAnswer: -1626045, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -2*f**3. Let u be i(1). Let p be 0*(u\/(-3) + -1). Let s be 4*3\/24*p. Solve -k - 8 + 5 = s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (2\/(-5))\/((-4)\/20). Which is the third smallest value? (a) 5 (b) q (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -7 - -61\/9. Let i(t) = -t - 5. Let j be i(-7). Suppose 0*k + j*k = -6. Sort k, 0.02, y.\nAnswer: k, y, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3.35 - 252.35. Let d = -271.3 - f. Let m = -22 - d. What is the second smallest value in 3\/5, -0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 7*w**2 + 85*w + 2287. Let y(h) = -51*h**2 - 598*h - 16007. Let f(v) = -29*n(v) - 4*y(v). What is the first derivative of f(x) wrt x?\nAnswer: 2*x - 73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -14.145 + 14. Let c = -46.955 + q. Round c to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -326 (base 12) to base 5\nAnswer: -3322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + -2 + 0 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1622 + 48*h**3 + 1622)*(2 + 2*h - 1 + 0*h + (-4*h + 2*h + 4*h)*(3 + 1 - 3)).\nAnswer: 192*h**4 + 48*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5\/2 - (-2)\/(24\/18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 196014 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 757 or -5?\nAnswer: 757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p be (2 + 9)\/(-2 + 3). Let d = p - 7. Let l be 12000*((-14)\/d + -3). Round l to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) be the second derivative of -o**4\/36 - 6*o. Factor v(u).\nAnswer: -u**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -30*w + 30*w + 8*w**3 + (6*w + 4 - 4)*(3*w**2 + 0*w**2 - w**2).\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 366353 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -c**3 - c**2 - 4917*c - 19719. What is q(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -12*f + 11. Suppose -2*n - 5*c - 28 = -6, -n = -c + 4. Let x be o(n). Let t = 190 - x. List the prime factors of t.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 8\/90*10\/4. Let g(m) = -m**2 - 2*m + 5. Let o be g(-2). Sort 0.3, o, 0.1, i.\nAnswer: 0.1, i, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = b**2 + b - 6. Let z be m(0). Let y(q) = -8*q - 6. Let k be y(z). Calculate the highest common divisor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2 - 1. Suppose -38 = -5*b - 13. Suppose 6 = -2*c, 0 = b*r + 3*c - 7*c - 22. What is the greatest common factor of f and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -20 + -17. Let y(g) = g + 55. Let x be y(u). What is the highest common factor of 18 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = 4*z**2 + z + 7. Let w(o) = -7*o**2 + 5*o - 4. Let p(i) = i**2 - i. Let q(s) = 5*p(s) + w(s). Determine 7*q(g) + 4*t(g).\nAnswer: 2*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -89*i + 60*i. Which is the nearest to 1? (a) i (b) -0.2 (c) -231\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 758937 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pi when two letters picked without replacement from {i: 7, t: 6, p: 3, z: 3}.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -38eb9 - 69?\nAnswer: -39033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is seventy-five halves of a year in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -53\/130? (a) 0.3 (b) -13 (c) -0.4 (d) -1 (e) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1)\/2*(-12)\/6. Let a be (g*-2)\/((-5)\/(-20)). What is the remainder when (164\/3)\/(a\/(-12)) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1053 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(88) - (sqrt(88) + -1*sqrt(88)))\/sqrt(2) - (sqrt(264)*-2)\/sqrt(6))\/(1*(sqrt(4) - -3*sqrt(40)\/sqrt(10))))**2*4.\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 119 = -n + 1072. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 207519 by -1.\nAnswer: -207519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 235 minutes before 1:59 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3.731 + -0.3.\nAnswer: 3.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -9, -3, 1004, 6.\nAnswer: -9, -4, -3, 6, 1004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*r - 108*r = 11*r + 260 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = -2*y - 8. Let f = -14 - -34. What is the highest common divisor of f and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 2, k: 3}. What is prob of sequence ku?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -s**3 - 5*s**2 + 4*s - 8. Let d be q(-6). Find the second derivative of -2*n**d - 3*n**5 - 4*n + 3*n**4 - n**4 wrt n.\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*p*r*v**2 - 20*p*r*v + 4*p*r - 23*r*v**2 + 69 wrt v?\nAnswer: 4*p*r*v - 20*p*r - 46*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 5302, 21213, 47732, 84859, 132594?\n\"Answer: 5304*x**2 - x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 70439 is divided by 296.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Add -21848 and -906501.\nAnswer: -928349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of d**4 - 490*d**3 - d**2 - 34546.\nAnswer: 4*d**3 - 1470*d**2 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in -2, 14\/5, -0.7, -356, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/5)\/(42\/(-75))*7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2350?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 89\/144 and 37\/13752?\nAnswer: 27504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -8*h**2 + 7*h. Let f(a) = -8*a**2 + 6*a. Let r(z) = -6*f(z) + 5*w(z). Suppose d = -2*d + 36. Calculate the remainder when d is divided by r(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -378 + 378.2. Put -3, u, -9, 5 in increasing order.\nAnswer: -9, -3, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 h and 1 o when four letters picked without replacement from qoooohohhyhjt?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -13 - 300222200?\nAnswer: -300222213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor w**3\/3 - 4*w**2\/3 - 27*w - 60.\nAnswer: (w - 12)*(w + 3)*(w + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 13, 54, 97, 142, 189, 238, 289?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/6, 0.4, 947, -2\/5, -3\/7 in increasing order.\nAnswer: -3\/7, -2\/5, -1\/6, 0.4, 947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1720 is divided by 424.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.9476 + 0.8676. Let f be (-7)\/3 - (-4)\/2. Which is the closest to g? (a) -4 (b) 3\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in 3\/4, -135, -1\/5, 0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6086.\nAnswer: 2, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = -56 + 24. Let c = g + 51. Suppose c*z = 22*z. Solve -2*f + 8 = -z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -36, -78, -120, -162, -204?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1139196 to the nearest integer?\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -181, -185, -191, -199, -209?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*v**3 - v**5 + 0*v**3 + (3*v**5 - v**5 - 3*v**5)*(236 - 100 + 203) - v**5 + 2*v**5 - 4*v**5.\nAnswer: -343*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/(45\/6))\/((-63)\/15)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = w**2 + 2*w. Let s(x) = -8*x - 27. Let t(d) = 2*f(d) - s(d). What is the tens digit of t(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 5, u: 1, t: 1, n: 1, a: 1}. What is prob of sequence tcua?\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2844350.\nAnswer: 2, 5, 163, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t be 16\/60*90\/(-1340). What is the third biggest value in 0, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2*((-2)\/(-1))\/12)\/(-1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1160011 (base 7) to base 3\nAnswer: 21120012201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c**(-1\/59)*c**1)\/((c*c**44)\/(((c**(2\/25)*c)\/c)\/c)) assuming c is positive.\nAnswer: c**(-64807\/1475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((-1 + 5*(0 + sqrt(363)) - (3*(sqrt(363)*1)**2 + -6*(sqrt(363) - (1 + sqrt(363))))) + 3).\nAnswer: -110*sqrt(3) + 2186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -942, -1244, -1520, -1758, -1946, -2072, -2124?\n\"Answer: 2*f**3 + f**2 - 319*f - 626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2.01 - -2. Let u = t + -4.99. What is the third biggest value in 0.1, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*r - 5*k - 3632, 2*r - 2724 = -r + 3*k. Let p = -631 - -33. Let j = r + p. Round j to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-99)\/18)\/(1\/(-1326142)). Let b = k - 4883781. What is b rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 50490\/(-2640)*48\/18\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37461 + 7629 = 167*g. What is the smallest common multiple of g and 405?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 71 (base 14) to base 6\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/(q\/(q*(q**(2\/11)*q)\/q*q)*q*q)*q*q**6)\/(q**(-6)\/((q*q**(-5))\/q)))\/((q\/(q*q**(-8\/7)))\/(q\/(q\/(q\/q**(-8)*q*q*q*q))*q))**13 assuming q is positive.\nAnswer: q**(13500\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5852\/5 + -1180. Let h(s) = -10*s**2 + 2*s - 1. Let q be h(1). Which is greater: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 129367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6.7 + -80.7. Let d = v - -73.6. Which is the closest to 0.1? (a) -2\/7 (b) d (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3*c**3*n + 6*c**3 - 17*c**2*n**3 + 21*c**2 wrt n?\nAnswer: 3*c**3 - 51*c**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 8 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -6*y. Let t(x) be the first derivative of -x**2 - 46. Determine n(t(j)).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*l**5*p + 718*l**5 - 2*l*p + 67*l - 2*p - 19 wrt l?\nAnswer: 40*l**3*p + 14360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -9816 - -14083. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4131.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -1128, -65, 1, 0, 5 in increasing order.\nAnswer: -1128, -65, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 6*b + 16. Let o be m(-2). Let c(j) be the first derivative of -11 - 4\/3*j**2 - 2\/3*j**o - 2\/3*j - 2\/15*j**5 - 4\/3*j**3. Factor c(z).\nAnswer: -2*(z + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 4\/20 - 538\/(-10). Suppose -2*j = 5*g + 2*j - t, -g + 15 = 5*j. Solve 5*s + g = -3*k + 2*k, 24 = s - 5*k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + s - 103 = 0, -3*s = -2*b - 2*s - 53. Let r = 16 + b. Let f be (-460)\/(-15)*r\/2. What is f rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l - 3. Let i be o(-5). Sort -2, 4, i.\nAnswer: -2, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4529\/3 + -51339\/34. Let l = f + -1\/34. Which is the second smallest value? (a) l (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 261*m**2 - 29*m?\nAnswer: 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -25, 0.2, 18, 1, -2 in decreasing order.\nAnswer: 18, 3, 1, 0.2, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:23 PM and 8:28 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -10*o - 41. Let p be k(-8). Let g = 923 - 650. What is the highest common divisor of g and p?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0 - 0. Let x = -0.255 + 0.355. Which is the third smallest value? (a) n (b) x (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -6, -5, -3 in increasing order.\nAnswer: -6, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 13.53266 micrometers in nanometers?\nAnswer: 13532.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0396533 rounded to four dps?\nAnswer: -0.0397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 15*(-27)\/45 + -7 + 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 - -2) + 3 + -2 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in seventeen quarters of a day?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1)\/2 + 58670\/(-4140). Let c = 1\/207 + r. Let o = c - -79\/6. Which is smaller: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2.76 + 1.12. Let s = -0.08 + -0.04. Let q = p - s. Put 0.1, q, 3\/4 in decreasing order.\nAnswer: q, 3\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 5*g**3 - 751979*g - 47688742 with respect to g.\nAnswer: 15*g**2 - 751979","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 894 - 892. Suppose 0 = g*d - 2*o + 4*o - 790, -389 = -d + o. Is 28 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 2*r + 4 = 0. Suppose -j + r*o = -o - 30, 6 = -3*o. Suppose -2*t = -7*t + j. Let x(y) = y**3 - 3*y**2 - 3*y - 2. Give x(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1112011 - -1?\nAnswer: -1112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -v**4 - 4*v**3 + v**2 - 4. Let a(t) = -4*t**4 - 11*t**3 + 4*t**2 - 11. Let l(m) = 4*a(m) - 11*c(m). What is n in l(n) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.02 in -4, 42, 21\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = o - 4, 0 = w + 6*o - 12. Let i = 0 + 2. Let p(c) = 2*c - 2. Let n be p(2). Solve -i*m + 0 - n = w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = x**3 + x**2 + x + 1. Let l(c) = -6*c**3 - 2*c**2 - 4 + 3*c - 8*c - 5*c**2. Determine l(p) + 5*n(p).\nAnswer: -p**3 - 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in -0.34, -0.4, 1, 4?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a be (6\/(-4))\/((-15)\/(-20)). Let x(d) = -d**2 - 6*d - 6. Let g be x(a). Solve -4*f + g*n = 5*n + 21, 5*n = -15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-1908)\/(-5) + (1 - (-9)\/(-15)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) be the third derivative of t**5\/60 + 67*t**4\/24 + 11*t**3 + 60*t**2. Factor w(v).\nAnswer: (v + 1)*(v + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1578402 to the nearest integer?\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3136297?\nAnswer: 1759, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*w + 5124 = 5012 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 725 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1.1 - -1. Which is the closest to 3? (a) w (b) -2\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.951344 + -23248864?\nAnswer: -23248862.048656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 44624 (base 8) to base 16\nAnswer: 4994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -2\/3544829?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z be (8\/36*3)\/(4\/222). Which is smaller: 36 or z?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -11 + 10 - ((-48)\/2 + 2). Suppose -4013 = -3*h - j, -h - 4*j - u + 1344 = 0. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 536029312?\nAnswer: 2, 7, 13, 17, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) be the third derivative of -l**5\/20 - 6*l**2. Let o(j) be the second derivative of j**3\/3 - j. Calculate n(o(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Are -0.5 and -453186 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0 + 14. Let w = u - 13. Let h = 32 - w. List the prime factors of h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.05 + 1.05. Let u = 31 - 31.5. Which is the closest to -1? (a) u (b) 1\/8 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 226 - 128. Calculate the highest common factor of 21 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 30.021 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:22 PM and 1:37 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j - 5*p = -50, -3*p - 16 = -7*p. Suppose -4*b + j*b + 218 = 0. Let i = b + 191. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 12234395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((-1*(-2 + sqrt(200)) - sqrt(200))*-3*1)**2.\nAnswer: -14472 + 1440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 6925253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w + 11. Let p be z(-5). Suppose p*i - 6 = 5*i. Let h = 92 + -85. What is the least common multiple of i and h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hspcopy. Give prob of picking 1 o and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 21\/9245392 and 107\/1955756?\nAnswer: 101699312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 63 = -2*t. Suppose 2*i - 3*n - t = -0*n, n = -1. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ssxsxvlsxxsxss. What is prob of picking 1 v and 1 l?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - 850475.2331103?\nAnswer: -850480.2331103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1 + 113311?\nAnswer: 113312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*p - 3*s - 32, 3*p - 2*s - 430 + 407 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -o**3 - o**2 + o. Let x(l) = 2*l**3 + 4*l**2 + 77*l. What is -4*i(b) - x(b)?\nAnswer: 2*b**3 - 81*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 333.693 - 0.09\nAnswer: 333.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1391873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -4*i - 9. Let v be b(-6). Let h be 3\/((v\/(-2))\/5). Let x be 2 - (-1 - (-4)\/h). Solve -x*y = w + 8, 0 = -3*y - 2 - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-8)\/(-40))\/((-2)\/(-10))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -26*f**5 - f**5 - 3*f**5 + (18 + 31*f - 18)*(-4*f**4 + 0*f**4 + f**4) + 0*f**5 + 2*f**5 - f**5.\nAnswer: -122*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 18\/95 and -71\/15815690.\nAnswer: 300498110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l be 0 - (0 - -1*2). Let p = l + 2. Suppose -15 = -p*h - 5*h. Solve -y + 4 = h*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6343 (base 7) in base 6?\nAnswer: 14204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 20 + -12. Suppose 3*j - x = 7. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -2*c**3 - 15*c**2 - 15*c + 5. Let m(k) = k**3 + 8*k**2 + 8*k - 3. Let l(o) = 4*b(o) + 7*m(o). Suppose -2*r - 10*r - 36 = 0. Give l(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 10066743?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1 - -49. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4 + -5. Let q = r + 4. Solve -4 = q*k + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 5019\/11 + -10149\/22. Calculate the common denominator of o and ((-17)\/(-357))\/(10\/(-123)).\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -899*x = -900*x + 261223. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(5 + (sqrt(833) - (2*(sqrt(833) - sqrt(833)*-1))**2) + -5) + -4.\nAnswer: -79972 + 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -31\/5, -20, -240, 1, -2 in descending order.\nAnswer: 1, -2, -31\/5, -20, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 48 divide 108240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that 2*q**5 - 293520*q**4 + 10759262450*q**3 + 732948637740*q**2 + 1433618314040*q + 711429232272 = 0.\nAnswer: -66, -1, 73414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -w**2 - 4*w**2 - 8*w**2 - w**3.\nAnswer: -w**3 - 13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/29 in 2\/3, 2\/13, 3\/2, 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2073698 and 2510266?\nAnswer: 47695054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3558 + 3566. What is the nearest to -0.05 in 5, o, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -75851580 divided by -708\nAnswer: 107135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/((-1)\/(-4)*((-504)\/70)\/(-9))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1297 is divided by 186?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 193824793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 3, -9950 in descending order.\nAnswer: 3, 1, -9950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*t - 5*o - 28, -5*o + o - 4 = -3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 303 minutes before 8:53 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1184 in -2, 0.5, -3.3, 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4189*k + 1515*k = -93590 for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -2\/5 (b) 0.5 (c) 2 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 13\/195 - (-192)\/(-180)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 58 - 13. Suppose -5*f + q - 179 = -238, f - 5*q - 7 = 0. What is the remainder when a is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -5*c**2 + 128*c + 4888. Let i(y) = -6*y**2 + 126*y + 4886. Let x(b) = 6*i(b) - 7*k(b). Determine a, given that x(a) = 0.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -41*u**2 + 1. Let r(j) = 25017395*j**2. Calculate f(r(s)).\nAnswer: -25660672156027025*s**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -119*u - 12. Let z(x) be the second derivative of -x**2\/2 + 2*x. Let h(s) = -w(s) + 3*z(s). Is h(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3 + 1376\/(-136) - -7 - (-57)\/51. Which is bigger: 308 or p?\nAnswer: 308","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i, 1 y, and 1 z when three letters picked without replacement from {m: 1, u: 1, i: 2, y: 2, o: 1, z: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 235\/725679?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((11 - 33) + 4 - -9) + (17 - -7) + 7?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 4*g**3 - 27*g**2 + 117*g + 11. What is the remainder when q(5) is divided by 140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1*(1*-2 + 5). Suppose 2*r + 2*r + 44 = q*y, -5*y + 2*r = -50. What is the greatest common factor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*f - f + 9 - f - 23*f.\nAnswer: -19*f + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3, -0.5, -1, 4901, -1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6004257 + -14074257. What is v rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.04 + -1.44. Let r = t + 10.4. Let o = r + -10. Which is smaller: -3\/2 or o?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2752 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express 3 - 271698*o**3 - 3 + 266807*o**3 + (0 + 0 + o)*(o**2 + o**2 + 0*o**2) - 4*o + 4*o + 2*o**3 in the form d*o + k + m*o**2 + i*o**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 12 = -3*z, 3*t - z = -6 + 2. What are the prime factors of (7 - t - 4)*227?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zrrr when four letters picked without replacement from rrrzrrzzzrzzzr.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = 90 - 102. Let z be (-3)\/b + (-1057)\/(-28). Let x(s) = 6*s**3 - 5*s**2 + s - 4. Let o be x(4). What is the highest common factor of o and z?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ahzmh. Give prob of picking 2 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2136 + -2140. Which is the closest to -4? (a) 1\/2 (b) i (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = v + 7*v - 24. Suppose 4*o = -3*d, v*o - d + 3*d = 0. Let n be 66\/(-2) - o\/(-6). Which is smaller: -31 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 4*f + 132. Let p(d) be the first derivative of -2*d**3\/3 - 1050. Determine a(p(k)).\nAnswer: -8*k**2 + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -636 - 179*o**2 + 18*o**2 + 164*o**2 + 74 in the form s*o**2 + u + n*o and give u.\nAnswer: -562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2)\/(-14) - 11394\/(-63). Let t = -126 + m. Let w = t - 44. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 139, -1, 5, -5, 2.\nAnswer: -5, -1, 2, 5, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify t*t\/(t\/t**2)*t*(t\/(t\/(t*t*t**(-20))))\/t*t*t**(-4\/7)\/t**(2\/31) assuming t is positive.\nAnswer: t**(-3176\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1355525 - 2532?\nAnswer: -1402501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -84311*h**5 - h - 12140?\nAnswer: -1686220*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*m = -7*y - 161 + 56, 1375*m - 9 = -6*y + 1378*m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*c - 12250 = -10*c. Is 31 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b\/(b\/b**(-6\/11)))\/(b\/(b*b*b*b**(-3\/4)\/b*b*b)*b))\/((b*b\/(b\/b**(5\/8))*b)\/b**(-4\/11)))**(-3\/16) assuming b is positive.\nAnswer: b**(603\/1408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 2*j - 2929 = 0, 0*j + 4840 = 5*i - 5*j. Suppose i = 6*c + 211. What are the prime factors of c?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -5, -99, 3 in descending order.\nAnswer: 3, 0, -5, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = q**3 + 3*q**2 - 4*q + 4. Let r be g(-4). Suppose -7*x + 6 = -r*x. What is the third derivative of 32*c**5 + 4*c**2 + 0*c**x - 40*c**5 wrt c?\nAnswer: -480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) be the third derivative of -53*k**8\/24 - 25*k**4\/3 + 589*k**2 + 1. What is the second derivative of a(b) wrt b?\nAnswer: -14840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + ((sqrt(209)*-3 - sqrt(209))*1 + sqrt(209))\/(sqrt(33)\/(sqrt(9)\/sqrt(3))))*3.\nAnswer: -9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -f**2 + 3*f + 89. Suppose 4*a - 6 = -3*l, 0*a + 2*l - 4 = 2*a. Let w be p(a). Let z = w - 85. Solve z*v + 2 = -5*y - 1, -y = -3*v - 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -2*j**3 + 122*j**2 - 5*j + 791. Calculate the remainder when k(61) is divided by 85.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 2, m: 6, x: 2, h: 2, e: 1, n: 4}. Give prob of picking 1 c, 1 m, 1 h, and 1 e.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 66*d + 5*u - 16 = 63*d, -25 = 5*d - 2*u. Let v(m) = 8*m**2 + 3*m - 1. Let j(t) = -9*t**2 - 4*t. Determine d*v(f) - 2*j(f).\nAnswer: -6*f**2 - f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = t**3 + 12*t**2 - 13*t - 6. Let d be 4*91\/84*(-21)\/(3 + 4). What is k(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15358\/31 equal to 496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that 4*a**5 + 24496*a**4 + 220172*a**3 + 195680*a**2 = 0.\nAnswer: -6115, -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -i - 2*w = -9 + 10, 0 = i + 3*w + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 3 = -3*y, -2*y = -6*y - n + 4. Solve -y = -3*j + 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/(12\/(-8)))\/(10*(-3)\/(-240)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.89 and -35.\nAnswer: -31.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) be the first derivative of -11 - 34*l**2 + 8*l + 26 + 9 - 41*l. What is the derivative of i(j) wrt j?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1\/((-4)\/48*-4). Suppose n*r - 3 = -4*b - 15, -2*b - 2*r = 8. Suppose 4*k - 4 = -b. Put -5, -1, k, 0 in increasing order.\nAnswer: -5, -1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 128939, 128897, 128827, 128723, 128579, 128389, 128147?\n\"Answer: -k**3 - 8*k**2 - 11*k + 128959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.4, -0.2, -2, -1\/3, -36528, 16?\nAnswer: -36528","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fxu when three letters picked without replacement from {o: 3, u: 3, t: 2, f: 1, x: 1, w: 2}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4 - -4. Suppose d = 3*u - 239186 + 31628. Let z = u + -139186. What is z rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11133311 + 2132?\nAnswer: -11131113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1376764?\nAnswer: 2, 491, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 8 (b) 1\/109280 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 23 = 4*y, 2*y - 5*m = 4*y + 21. Suppose 5*s - 6*s + y = 0. Solve 0 = -2*n - 2 - s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (105 - 105 - 8*v)*(-2 + 3 - 3)*(9*v**4 - 6*v**4 + 5*v**4).\nAnswer: 128*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 551*h + 72879. Give n(-132).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the second derivative of -34*n**7\/21 - n**4\/6 + 7*n**2 + n + 64. What is the third derivative of b(w) wrt w?\nAnswer: -4080*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 2*z**3 - 2*z**2 + 3*z + 2. Let t be g(3). Let b = t - 33. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 574 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify r\/(r\/(r\/r**3))*r**(2\/7)*r*(r\/(r\/(r\/r**(-3))))\/r**(1\/8) assuming r is positive.\nAnswer: r**(177\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Product of 143.5 and -6821.\nAnswer: -978813.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w**2 - 320*w - 5120 = 0.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*i - 2*l + 262, 3*i - 4*l - 82 = 87. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1319 - -1372 - (79 + 7)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bxbaabxbaxaxxbnxbx. What is prob of sequence an?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 6401, 12717, 19033, 25349, 31665?\n\"Answer: 6316*t + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -319 - -388.3. Let s = r + -69. What is the closest to 3\/7 in -0.2, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by 31349.\nAnswer: -5\/31349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = -4*u. Let d = 18.6 + -4.6. Let t = d - 12. What is the second smallest value in t, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -l**2 - 2*l - 1. Let k be d(-2). Let c = -22 + 28. Suppose -5*p = -v - c, 5*p - 2 = 3*v + 6. Do v and k have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 2*j**3 + 2*j**2 + 29*j - 4. Let y be l(0). Sort y, 19, -3, 7, 1 in descending order.\nAnswer: 19, 7, 1, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -12 + (-19 - (-6 + -12 - -1 - -12))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 0.7, 3, -0.05 in increasing order.\nAnswer: -0.05, 0.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dndtdsusutdddduu. Give prob of sequence dd.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*x**2 + 8095 + 8*x - 8095 - 8*x.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out -77383 + 0.1.\nAnswer: -77382.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 27574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 7815840 divided by 2605280\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -33 - 10330000?\nAnswer: -10330033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/9, 1\/4, -3, -1\/4.\nAnswer: -3, -1\/4, 2\/9, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*m + 15*m = 165. Calculate the greatest common divisor of m and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 8046 divided by 1\nAnswer: 8046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4 and 1714.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-8)\/20 - (-6)\/15. Suppose a = 3*h + 2*h - 178000000. Suppose 0 = -2*o - 2*o - h. What is o rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 15.4 * -14779.\nAnswer: -227596.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 197 minutes after 8:10 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*v**2 + 6*v**2 + 2*v**2)*(-5*v**2 + 3*v**2 + 0*v**2)*(-22*v - 25*v - 1 + 23*v) - 5*v**5 + 0*v**5 + 4*v**5.\nAnswer: 383*v**5 + 16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1763 + -1756. Put 5, -0.5, p, 6\/7 in increasing order.\nAnswer: -0.5, 6\/7, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 484499 + 484490 + 484500 - 3*x - 1453489 - 26*x.\nAnswer: -29*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find s such that -2*s**3\/19 + 72*s**2\/19 - 378*s\/19 - 5292\/19 = 0.\nAnswer: -6, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 369, 2990, 10099, 23940, 46757, 80794, 128295?\nAnswer: 191504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1*-2*-6*3\/(-36).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 48\/48*2\/(-4)*57\/(-6)?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) be the second derivative of -5*c**4\/12 + 2*c. Let q(h) = 2*h**2 + h**2 - 2*h**2. What is t(q(z))?\nAnswer: -5*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -66, -122, -144, -114, -14, 174?\n\"Answer: 3*c**3 - c**2 - 74*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 77 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 293262*x. Let j(o) = 8*o + 2. Calculate l(j(c)).\nAnswer: 2346096*c + 586524","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -20*n - 11. Let t(z) = -z - 1. Calculate -g(x) + 3*t(x).\nAnswer: 17*x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11001100100111101010 + -11001110?\nAnswer: -11001100101010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 3*t**2 - 82*t + 188. Is j(57) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*c**2 + 1 - c + 5 - 12*c**2 + 0*c - 10 in the form u + h*c**2 + o*c and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: a (base 16) to base 8\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 40*q**3 + 4*q**2 - 3*q + 1. Suppose 0 = 2*i + 2*h + 8, 3*i - h - 2*h - 6 = 0. Let b = i - -3. Is c(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 248297\/6 - 41376. Suppose -101 = 4*s + n, -6*s - 106 = -2*s + 2*n. Let d = -16 - s. Is q > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = h + 6. Let m be v(-4). Let j(b) = 4*b**3 - 2*b**2. Let x be j(m). What is the greatest common factor of x and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) be the second derivative of h**7\/252 + h**5\/12 - 7*h**4\/12 + 4*h. Let v(w) be the third derivative of r(w). Differentiate v(i) with respect to i.\nAnswer: 20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 67 divided by -21\nAnswer: -67\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (6\/10)\/((-468)\/1040)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c**2 + 2*c + 2. Let a(q) be the third derivative of -q**5\/60 + q**4\/12 + q**3\/3 + 11*q**2. Calculate 5*a(k) - 4*f(k).\nAnswer: -k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1993\/6 - -327. What is the common denominator of 2 + 1 + 59\/(-10) + 1 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -4, 1, 30 in decreasing order.\nAnswer: 30, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k be 4\/10 - (-28)\/(-70). Solve -4*p - 8 - 4 = k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2 + -6. Suppose 4*r - 28 = 4*j, -1 = -r - 3*j - 6. Calculate the remainder when 46 is divided by q\/((-2)\/(r*2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f - 161 = -49. Let l be ((-18)\/(-27))\/((-1)\/27). Let p = l - f. Solve 3*d - 2*h = 6, -h = 5*d - 3*h - p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1234 - -5020. Is (c\/(-18))\/((-3)\/9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -1*(-4 + -2)*-1. Let d = r - -9. Let m(t) = -t + 4. Let i be m(0). Solve d*w - 6*w + i = -2*a, 3*a = 5*w - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6315175 to the nearest integer?\nAnswer: 2513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 336 minus -94456?\nAnswer: 94792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -6607, -13592, -20577, -27562, -34547?\n\"Answer: -6985*v + 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 139 + 145 = -142*z. Let l(r) = r**2. Let x(d) = -d**3 + 7*d**2 + 6. Let c(v) = 6*l(v) - x(v). Let a(o) = 1. Determine z*c(t) - 10*a(t).\nAnswer: -2*t**3 + 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = -29 - -25. Let c(q) = q**3 - 2*q**2 - q - 2. Let b be c(4). Let r be ((-2)\/(-10))\/((-2)\/b). Which is smaller: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -n**3 + 15*n**2 - n + 20. Suppose 2*v + 5*x = 55, x - 2 = 3. Let g be h(v). Solve -g*d = -20, 3*d - 2 = -2*z + 7*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/30 + 6237\/270 + (-5 - -1)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = d**3 + 18*d**2 + 75*d + 55. Determine h(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -345 - -344.95. Which is the nearest to f? (a) -1 (b) 2\/11 (c) 41 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -y**3 - 6*y**2 - 5*y - 2. Let o = 6 + -8. Let j(r) = -4*r - 3. Let m be j(o). Suppose -h = 3*c + 18, m = -2*c + 5*h + 10. Determine s(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -58, -55, -60, -79, -118?\n\"Answer: -c**3 + 2*c**2 + 4*c - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = b**2 - 2*b. Let s(o) = o. Let i(f) = 2*s(f) + u(f). Let n(a) = -3*a**2 - 2 - 2 + 4. Give n(i(c)).\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(-2\/67)*u*u**(2\/13) assuming u is positive.\nAnswer: u**(979\/871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = -69901.47 - -70224. Let v = -321 + y. What is v rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 83035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -0.6, 0.27, 5\/3, -4\/3 in increasing order.\nAnswer: -4\/3, -0.6, 0.27, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -32140*v - 32050*v + 64212*v.\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/(z\/(z*z**(-23))))\/z**(1\/23) assuming z is positive.\nAnswer: z**(-507\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p be 5\/(15\/21) + 3. Let d be p - 5\/(-5)*-5. Is -12 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -198201 + 196822.41. Round z to the nearest 10.\nAnswer: -1380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) be the second derivative of 271*b**6\/30 - 127*b**2 + 68*b. What is the derivative of t(o) wrt o?\nAnswer: 1084*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 11 and 1134025.\nAnswer: 12474275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) be the second derivative of -y**7\/420 - y**6\/180 - y**5\/120 - y**4\/12 - 5*y**3\/6 - 8*y. Let q(c) be the second derivative of m(c). Determine q(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 331 - 331.05. Which is the second biggest value? (a) g (b) 3 (c) -2\/9 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 9826 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -2*o**2 + 39*o - 136. Give a(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 9231 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 13780015 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 91280 + -91283. Let m be (-10)\/(-14) + 2\/7. Which is the closest to m? (a) 2\/9 (b) p (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = c + 8. Let f be p(-6). Let m = f + 29. Solve -8 = h - b, -m = 5*h + b - 3*b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the first derivative of -d**3 + 7*d**2\/2 - 7*d + 1. Let o(w) = -w**2 + 2*w - 2. Determine 6*g(q) - 21*o(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 0.2281611cm?\nAnswer: 2281611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (2 + 1 - 5)*((1 - 2 + 0)*(2 - 2 - 2*h) + 3 - 3 + 3*h)*(h - 2*h + 3*h + 6 - 6 - 3*h + (-1 + 6 - 3)*(1 - 1 - h)) as j*h + n*h**2 + g and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6738, -15118, -25136, -36792?\nAnswer: -50086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q - 7*y = 3*q - 0*q - 42, -y + 9 = -2*q - 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.33 + 0.6. Let q = 0.73 + x. What is the biggest value in 2\/9, q, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2760*y**2 + 1658*y**2 - 4428*y**2)*((-5 + 2 + 1)*(2*y - 2*y - 2*y) + 3 - 3 + 2*y).\nAnswer: -33180*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3313354 = 13*j + 19*j - 3253590. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + 5 - (-1 - (3 - 12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5814*n**4 - 2*n**3 - 15037*n**2 - 1556*n + 41617 wrt n?\nAnswer: 69768*n**2 - 12*n - 30074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*t - 125708 = -21860. Let f = 4872 + t. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -139, -189, -239, -289?\n\"Answer: -50*u - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 1. Let y(m) = 7*m - 5 - 5*m + 3*m + 0 - 2*m. Give -4*v(z) - y(z).\nAnswer: -3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1.4 - -1.42. Let q = z + -1.02. Sort 0.5, q, -2\/15 in descending order.\nAnswer: 0.5, -2\/15, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -o - o. Let h = -32 + 41. Suppose 2*u + h = r + u, 4*u + 8 = o. Let s(p) = p**2 - 7*p + 4. Determine s(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 7*g - 26 = -2*l, 0 = -3*l + 2*g + 34. Suppose 0*c - l = -c. Suppose 5*h - 35 = 10. Calculate the least common multiple of c and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 19, d: 1}. What is prob of picking 2 q?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 9 - 1. Suppose 3*w + f = 20 - 6, 4*w - 4*f = -r. Differentiate -2*g**3 + 0 + w*g**3 + 2 wrt g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1.337 - 601.663. Let h = 599 + j. Let v = -23\/3 - -106\/15. Which is the nearest to v? (a) 0 (b) h (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b = -2*q + 2, -5*b - 8 = -2*q + 3. Let m be (6\/5)\/(4\/(-10)). Let r = -4 - 0. Put b, m, r in decreasing order.\nAnswer: b, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -o**2 + 29*o - 35. Suppose 53*n + 150 = 59*n. Let d be y(n). What is the highest common divisor of d and 715?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*(sqrt(126)*-3)\/sqrt(9)*3)\/((-1*sqrt(196))\/(sqrt(14)\/sqrt(2)*2)))**2.\nAnswer: 5832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3 - 5. Let w = o + 6. Let y = -2.93 - 0.07. Which is the third smallest value? (a) y (b) 0.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1101010 (base 2) to base 10\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -2541 * -10\nAnswer: 25410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Product of 324141 and -439.\nAnswer: -142297899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 3779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.5, -3, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -39.5 (b) 0.7 (c) -2\/7 (d) -290\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -13*g + 433 + 204. Let u = 366 + -317. What is the highest common factor of u and g?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 136626*l - 7*l**2 + 4716*l**3 - 136626*l.\nAnswer: 4716*l**3 - 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 5970311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5671 + 1027 = -12*c. Let l = c - 315. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1011000010101110101111 - -100?\nAnswer: 1011000010101110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9349861 is divided by 39.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 6299012?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-384)\/(-2448))\/((-2)\/3))\/2.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hdvb when four letters picked without replacement from eevphdbhhpdv?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*v**2 - 16*v**2 - 9 + 8 - 24*v**2.\nAnswer: -27*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from rldebbd.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m and 1 k when three letters picked without replacement from vtkdmmtkdltm?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 31\/30 and 14\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 2 r when three letters picked without replacement from {r: 2, v: 1, k: 1, c: 2, u: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.93 (c) 2\/13 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = m**3 - 16*m**2 - 16*m - 13. Let c be o(17). Suppose 0*x = 3*f + c*x + 500, -4*f = x + 645. Let j = -69 - f. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t**3 + 1601*t**2\/3 - 8978*t + 8800\/3 = 0. What is t?\nAnswer: -550, 1\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -k**3 - 4*k**2 + 7*k - 5. Let g be j(2). Let r be ((-70)\/(-4))\/((-2)\/4). Calculate the smallest common multiple of r\/g - (-4)\/6 and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 28176 and 600.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -152 + 156. Suppose o = 2*q - b, -5*q + 8 = o - 23. Let v(s) = -s**2 + 4*s + 2. Determine v(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 7*j**2 - 3*j - j**3 + 26 - 35 + 7*j. Let c(s) = -s**3 + 3*s**2 + s + 1. Let h be c(2). Is u(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 2, b: 8, e: 9}. Give prob of sequence ebbb.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 11118928 and 117844.\nAnswer: 6932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 0 + 6002*q + 0.\nAnswer: 6002*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 2261357542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 0*q - 10 = 2*q, -12 = -c + 5*q. Let u = 1\/76 + 149\/228. Solve 4\/9 + 2\/9*g**c + u*g = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the third derivative of 21*g**5\/10 + 3419*g**2. Let u(p) = -20*p**2. Calculate u(n(f)).\nAnswer: -317520*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve v**2\/4 - 79111*v\/2 + 6258550321\/4 = 0.\nAnswer: 79111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 135 and 45.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 399 and 8 - (-1704)\/78 - 4\/(-26).\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 12 - (-2 + (-280)\/(-14)). Sort h, -1\/2, 4.9 in increasing order.\nAnswer: h, -1\/2, 4.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:17 AM and 11:05 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -3*b**2 - 2*b + 2. Let f be (24 - 19) + 1*-2. Let j be ((-3)\/(-2))\/(-7*(-21)\/196). Let q(m) = -m**3 + 4*m**2 + 2*m - 3. Give f*a(v) + j*q(v).\nAnswer: -2*v**3 - v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -8*i**2*r**3 - 2*i**2*y + 24*i**2 + 7*i + 446*r**3 - 2*r**2*y + 5*r*y + 2 wrt r.\nAnswer: -48*i**2*r + 2676*r - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 + 9 = 4*d + o, -4*d + 2*o + 2 = 0. Let q = 5 - d. Solve -q = -2*a + v + v, 5*a = -3*v - 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-530)\/(-371) - 6\/14. Which is bigger: i or -6\/311?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 13 - 11. Suppose 0 = -0*m - 2*m - f. Sort m, 4, -4 in ascending order.\nAnswer: -4, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 6 + (14\/(-2) - -3). Suppose 3*j + 3*l = -c*j + 105, -4*l - 34 = -3*j. Calculate the lowest common multiple of j and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 433 is divided by 351?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = -4*m + 21 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y be 6 - 1*(0 + 2). Suppose s + 2 = 3*a, 0*a + 3*s = -5*a + 8. Put y, a, -3 in ascending order.\nAnswer: -3, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2651 - 5117 - 43*l**3 + 2542 to o*l**3 + r + z*l**2 + v*l and give r.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 u when two letters picked without replacement from hunhb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -940 = 18*b + 338. Let n = 114 + b. List the prime factors of n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 19274 and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -g**3 + g - 1. Let h(s) be the third derivative of -s**6\/24 + s**4\/4 - 7*s**3\/6 - 3*s**2. Let p(b) = h(b) - 6*i(b). Differentiate p(c) wrt c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c - 3*j + 45 + 29 = 16, 14*j = -c - 60 + 353 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 14*c**4 - 12*c**3 + 154*c**2 - 62*c**4 + 10*c**3 wrt c.\nAnswer: -1152*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -79 + 84. Suppose -2*n = p - 5, -5*n = -h*p - 3*n + 61. What is the third derivative of 17*f**6 + p*f**6 + 19*f**2 + 4*f**6 wrt f?\nAnswer: 3840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (0 - -7)*2\/7. Let a(x) = 88*x + 1. Is a(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor b**3 + 80*b**2 - 2508*b - 226512.\nAnswer: (b - 52)*(b + 66)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4575*o**4 + 696*o**2 + 265433309*o.\nAnswer: 54900*o**2 + 1392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o be 12 - 10 - 9 - -11. Let z(s) = -130*s**2 + 39*s - 39. Let w(u) = -13*u**2 + 4*u - 4. Determine o*z(y) - 39*w(y).\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000172396 rounded to six dps?\nAnswer: 0.000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -2815, -2812, -2799, -2770, -2719, -2640?\n\"Answer: z**3 - z**2 - z - 2814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wsoss. What is prob of sequence ws?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a - 134 = -179 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-32)\/14)\/((-84)\/(-49) - 2). Suppose 5*q - s = 3*q, 3*a - 2*q - 166 = 0. Is 29 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -42, 42, 16, 4, 41 in increasing order.\nAnswer: -42, 4, 16, 41, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = -5464 - -8037. Let k = c - 1751. List the prime factors of k.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6*(24\/(-2))\/312?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-8)\/(-10))\/(10\/25). Suppose 3*z - 32 = z + 2*g, p*g - 7 = -z. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*-2*sqrt(1008) + 0 + (5 + sqrt(1008))*6*-1)*3)**2 + 0.\nAnswer: 25920*sqrt(7) + 153252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -9\/13 at least -5298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 142 divided by 7?\nAnswer: 142\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/51 in -3, 2\/15, -0.5, 4, 36, 52?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -0.009, 2, 1\/5, -2, 0.01?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -1992*a + 89680. Give j(45).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 3574721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q be (1\/(-2))\/(7\/(-70)). Suppose p + 5 = -0, q*l - p = 110. Suppose 2*j - 5*v = 23, -5*j + 66 = -2*v - 2*v. What is the greatest common divisor of j and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1 - 0. Let s = y - 4. Let l = -4.1505 + -0.8495. Which is the second biggest value? (a) s (b) 2\/5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) be the first derivative of -103\/3*h**6 + 0*h**4 + 0*h + 0*h**5 + 277\/2*h**2 + 184 + 0*h**3. What is the second derivative of u(q) wrt q?\nAnswer: -4120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 3*y + 56. Suppose -4*a + 20 = 0, -14*b + a + 50 = -19*b. Determine q(b).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -4605834*l**2. Let m(u) = -2*u. What is m(y(x))?\nAnswer: 9211668*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(5 + (sqrt(25)\/sqrt(5)*-2)**2 + -5*sqrt(35)\/sqrt(7)*6 + 2).\nAnswer: -54 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 97\/95320 and -32\/36645?\nAnswer: 698600280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 4\/17 (b) 82 (c) 6 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*n - 10*n + 6970 = -65*n - 160*n for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1\/2, -1\/739, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k**2 + 2*k - 4. Let v be j(3). Suppose l = -v*l + 372. Calculate the remainder when l is divided by 15 + 1 + 1\/1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -p**3 - 6*p**2 + 4*p + 23. Calculate i(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 10310024161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 167*n - 173*n + 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 8*z. Let n(x) = -4*x**2 + 50*x + 4*x**2 + 36 - 50*x - x**2. Determine l(n(w)).\nAnswer: -8*w**2 + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3770 and 4160.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2, -0.2, 80, -0.1?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 43768, 43767, 43766?\nAnswer: 43765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 161, 171, 195, 239, 309?\n\"Answer: k**3 + k**2 + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 27875502377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5)\/14*-8*(-2)\/(-20).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -83 - 90 - 81 - 84 - 2*k + 339.\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -u + b + 11 = 0, 2*b + 37 = -26*u + 31*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h**5\/5 - 18312222*h**4\/5 - 41917193478268*h**3\/5 - 41917156853828*h**2\/5 + 8383438695654*h + 8383435033210 = 0 for h.\nAnswer: -4578055, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -a**3 + 30*a**2 + 353*a - 73. Give l(39).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + 2*a - a + 69 = 0, 32 = 2*w + 2*a. Let z be ((-2)\/5)\/(3\/(-1275)). Calculate the greatest common factor of z and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = o - 7*o + o**2 - 5*o**2 + o**3 - o**2 - 5. Determine w(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*t + 1653284 = 3896746. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2 + -17021412?\nAnswer: -17021410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.02 (b) 0.4 (c) -0.139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(-9)\/i*(i**(-16)\/i)\/i assuming i is positive.\nAnswer: i**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -2*s. Let d be u(-2). Suppose 48 = -d*i + 64. Let h(l) = l**2 - 8*l + 16. Let a be h(i). Solve -2*z + 2 = v, 3*v + a*v + 5 = 5*z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -w, 4*w - 401 = -3*n - 1. Does 32 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3*m**2 - 5*m**2 - m**2)*(-3 - 2*m**2 + 3) + 8*m**4 + 22*m - 22*m as y*m**4 + a + j*m**3 + g*m**2 + v*m and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -5*f - 31. Let t be q(-8). Let x(d) = -2*d + 30. Calculate the least common multiple of x(t) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 10.287 (b) 15 (c) 0.0016\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(11) + 1 - sqrt(44)*-5)**2.\nAnswer: 14*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -61450, -121953, -182456, -242959?\nAnswer: -303462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1516 is divided by 299?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 93*c - 56*c**3 + 22*c**2 - 91*c + 829*c**3 - 5*c**3 wrt c?\nAnswer: 4608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52 = -2*a - a + 2*h, -2*a + 4*h + 48 = 0. Calculate the remainder when 69 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -25 - -30. Suppose -w*v = -4*y - 1098 - 169, 2*y - v = -629. Let k = 866 + y. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 23\/(1771\/(-286))*-1295. Calculate the greatest common factor of g and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2253 and 21084325?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5160 + -18.59882.\nAnswer: -5178.59882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 58372499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Add together 537912 and 1544.\nAnswer: 539456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 806537?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Add -1156036 and -181.8.\nAnswer: -1156217.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 109231 minus -1.1?\nAnswer: 109232.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 6) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*x + 0*x - x**5 + (4*x**4 + 273*x**3 - 273*x**3)*(x + 35 - 35)*(0 - 3 + 4).\nAnswer: 3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = j**2 + 29*j + 389. Give f(-22).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u be -2 + 4 + (2 - 4). Let p be (12 - 8) + 164 + u. Let j = p + 23. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*d**3 - d**3 + 0*d**3)*(1 - 8*d + 9*d + 8*d).\nAnswer: -9*d**4 - d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -346482 or -346495?\nAnswer: -346495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -203206 (base 9) to base 15\nAnswer: -25a53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r be 6\/9 + (-8)\/(-6). Let v = 12 - 6. Suppose -z - 11 = -r*d, -3*z + 9 = 3*d - v*z. Solve 0 = d*q - 4*q + 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -k. Let x(f) = 4*f**2 - 5*f**2 + 291*f - 291*f. Calculate x(m(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (64 - 65 - (-1 - (9 + -1))) + 1742 + -1761\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 258 (b) 0.4 (c) 1\/260 (d) -0.7 (e) -14.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 68626c (base 14) to base 10.\nAnswer: 3551224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4403 - 8058. Let n = -2144 - j. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 2 g when three letters picked without replacement from {z: 1, w: 1, u: 4, p: 6, b: 3, g: 5}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1 - (-2 - (-905)\/(-126)). Let b = -81\/7 + i. Find the common denominator of 49\/4 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 + 52 = 5*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -2*s**2 + 95*s - 69. Let r be g(48). Let q be ((-2)\/32)\/((r\/27)\/13). Which is the closest to -1\/3? (a) 0.05 (b) q (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 60598029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.4 in -22368, -5, 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 9) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1135758, -2271517, -3407276?\nAnswer: -4543035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 19582 - 16363. Does 111 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 271, 365, 497, 673, 899, 1181, 1525, 1937?\nAnswer: 2423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 4, a: 1, k: 6, d: 1, z: 6}. What is prob of sequence az?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -127*k - 4623 - 1981 = 0 for k.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = q**3 + 15*q**2 - 3329*q - 53209. Give x(-16).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((-4968)\/(-4140))\/(((-2)\/(-21))\/(5\/(-3)))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 2 - ((-7 - -8) + -2 + 7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -4725964 divided by -4\nAnswer: 1181491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*x**3 - 12*x**2 + 16*x.\nAnswer: 2*x*(x - 4)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*k + 6*k - k)*(0*k + 2*k - k + 5).\nAnswer: 8*k**2 + 40*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 1*((-15)\/(-3))\/5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*g + 4*d + 164 = 0, -3*g = 4*d + 7696 - 7632 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 48*m - 48. Let y be ((-1)\/2)\/((-1)\/2). Let l(k) = -4 + 3*k - y + 2. Let p(w) = -2*b(w) + 33*l(w). What is the first derivative of p(a) wrt a?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17638991 to the power of 1\/2, to the nearest integer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h be -5 + (-124201)\/(-14) - (-5)\/(-10). Round h to the nearest 100.\nAnswer: 8900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7.101 - -2.101. What is the third biggest value in 0.3, f, 20, 0.6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 + 0*b - 1\/5*b**5 - 2\/5*b**4 - 1\/5*b**3 + 0*b**2 = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*j + 2*j + 0*j)*(605 - 120 + 464)*(-4*j**2 + 7*j**2 - 10*j**2).\nAnswer: 6643*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 9900 and 8118.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5 and 385.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 0*q + 5*i + 3 = 0, -2*q - 7 = 5*i. Let k be q*(-5 - -1) - -436. Round k to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1 - 5cbb?\nAnswer: -5cbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 2*-2*(-62)\/(-248)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 4441\/2, 0.017, 429 in increasing order.\nAnswer: 0.017, 429, 4441\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - 132 = -7*h. Let f = 141 - h. Let c = f - 63. Calculate the remainder when 34 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((sqrt(1008) + 5*sqrt(1008)*1 + 0)*-1)**2.\nAnswer: 36284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:40 PM and 8:18 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -n**2 - 4*n + 27. Give f(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 22133020120 - 13332?\nAnswer: 22133000122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4151?\nAnswer: 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 25339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -1657, -3315, -4975, -6637, -8301, -9967, -11635?\n\"Answer: -q**2 - 1655*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 579124 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 63 a factor of 387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) be the third derivative of o**6\/120 - o**5\/6 - 5*o**4\/12 - 17*o**3\/2 + 72*o**2. Let s be j(12). What is the greatest common divisor of 13 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-2)\/3)\/((-2)\/426). Let z(y) = -20*y**2 - 256*y - 27. Let a be z(-13). Let o = p + a. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 547911 a multiple of 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = -59 + 61. Solve -4*b + 26 = -l*v, 0*v + 5*v + 25 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 9077 by 1036.\nAnswer: 9077\/1036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out -117 * -120.5.\nAnswer: 14098.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -108 divided by 352?\nAnswer: -27\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 93*y - 47*y + 66*y + 3250 + 34*y + 314*y wrt y?\nAnswer: 460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at least as big as 0.57610695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 133942 and 535768?\nAnswer: 535768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t - 2*s + 4 = 0, 34*t + 9 = 37*t + 2*s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -26 + 25.05. Let f = -2 + 1.95. Let q = h + f. Which is the nearest to q? (a) 0.1 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -87\/10 and -51\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1478*n**3 + 345*n**2 wrt n.\nAnswer: 8868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4.5 - 4.3. Sort o, 0.5, 4 in descending order.\nAnswer: 4, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -8*k**2 + 560*k - 23. Give t(70).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -2*o + 30. Let n be j(12). Let f be n\/2*4\/(11 - -1). Solve f + 1 = -2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 24*j. Let s be n(0). Suppose s = -27*k + 21*k + 8886. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -91\/24 and -101\/1005908.\nAnswer: 6035448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -6*t**2 - t. Let p be w(-1). Let j = p - -2. Let c = -0.8 - -0.5. What is the second smallest value in j, c, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -11 (base 4) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 64354 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 325 and 6058?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f + 5*n + 72 = 61, -5*f + 34*n = 54 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:51 AM and 7:51 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.08 or 16839?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1198622, 1198658, 1198688, 1198706, 1198706, 1198682?\nAnswer: 1198628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 3 = -z. Let n = 455 + -450. Suppose 0*s = n*s + 5*a - 30, 0 = -a - z. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (0\/(2 + -3))\/1. Suppose v = 3*m - 8*m - 540. Is m equal to -108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*t + 4*t + 485. Suppose 0 = 4*q - 20, -2*q - 3*q + t = 3*r. Suppose -2*w = r - 78. Is 27 equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -2*q + 20. Let v be l(9). Put -2\/3, v, 0, -1 in increasing order.\nAnswer: -1, -2\/3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 2*d + 105. Give g(25).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 173 = -4*i - 135. Let q = i + 81. Suppose 0 = q*d - 2*o - 10, -d - 4*o = -22 - 3. Solve -d*j = -12 + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 8*n. Let z(f) = 7881339*f**2. Calculate z(d(c)).\nAnswer: 504405696*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 4, y: 2, u: 1, j: 2}. Give prob of sequence juj.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 46201.47 years to millennia.\nAnswer: 46.20147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -84946*v**4 - 46491*v.\nAnswer: -1019352*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*v - v - 2*v + 2*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*h - 2*h + 24 = 0. Solve -h*n = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 2*y + 8 = 0, -4*h + 8 = -5*h + 3*y. Let a be ((-2)\/4)\/((-1)\/h). What are the prime factors of (12\/15)\/(a\/15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (14\/21)\/((-4)\/(-30)) + 54\/(-27).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 2656994069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f = 3*f. Suppose -4*g = -f*g - 28. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1 - 3) + -4 - -3. Let u = 0.16 - -7.84. Let w = -10 + u. What is the third biggest value in w, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -43, -207, -511, -979, -1635, -2503?\n\"Answer: -4*o**3 - 46*o**2 + 2*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -352 + 761. Suppose 1269 = h - p. What are the prime factors of h?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*-4*sqrt(252))**2 - (0 + sqrt(700) + sqrt(7) - (2*sqrt(70))\/sqrt(10))**2)*-6.\nAnswer: -20790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 337, 283, 229, 175, 121, 67?\n\"Answer: -54*r + 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = r. Let k = 67 + -63. Let b(o) be the second derivative of 0 + 1\/2*o**k + 0*o**3 + 2*o + 0*o**2. What is b(p(d))?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 4, l: 2}. What is prob of sequence ll?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 137 minutes before 8:38 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 17710 (base 8) to base 11\nAnswer: 6127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 50466679?\nAnswer: 19, 2656141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 54 a factor of (-6139)\/(-11) - -2 - 5\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q + 4 = -4*j, j = 3*q + q - 1. Sort j, 3, 1 in increasing order.\nAnswer: j, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -766.25 to the nearest ten.\nAnswer: -770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -7*v**2. Let f(w) = -5*w - 11 - 11 + 22. Calculate f(k(y)).\nAnswer: 35*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -199, -877, -2457, -5311, -9811, -16329?\nAnswer: -25237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -3*i**2 + 8*i. Let g(u) = 0*u + u + 0*u. Suppose -3*k = -5*s + 97, -2*s = 3*s - 25. Give k*g(p) + 3*r(p).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i + 3*x + 148 = 0, -4*i - 74 - 42 = 3*x. Let j = 26 - i. What are the prime factors of j?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(6300)*3)\/((sqrt(1458) + sqrt(1458)*-2)\/sqrt(2)).\nAnswer: -50*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 34 = 3*r. Is 17 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(2) + sqrt(4)\/sqrt(2))**2 + (sqrt(2) - sqrt(8)*1) - ((2*sqrt(98))**2 - (sqrt(8))**2*2).\nAnswer: -364 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 351339, 352063, 353269, 354957?\n\"Answer: 241*h**2 + h + 351097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 392787, 392783, 392765, 392727, 392663, 392567, 392433?\n\"Answer: -r**3 - r**2 + 6*r + 392783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -5 - 8 + 22 - 7. Let z(m) = m**2 + 1. Suppose -5*y = 2*k - 22, 3*y + 1 = 13. What is k*u(l) - 2*z(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) be the first derivative of -66 + 0*c + 2\/3*c**3 + 0*c**2. Let m(f) = 36*f**2. Calculate m(u(d)).\nAnswer: 144*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) be the third derivative of z**6\/120 + z**5\/15 - z**4\/24 + z**3\/6 + 2*z**2. Let y be m(-4). Solve -4*k + y*k + 2 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -15 (b) -3 (c) 2\/5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -100011110001 (base 2) to base 12\nAnswer: -13a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + -21 + 6 - -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-16)\/(-15))\/((-87)\/20). Let t = k - -2\/87. Let y = 5 - 5. Which is smaller: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -1\/6 (b) -11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.4 (b) -12 (c) -2\/135\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -0.3, -3\/4, -116, 3, 0.032, -2\/13?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 73*t**2 - 4*t - 2*t + 6*t as d*t**2 + l*t + o and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 71188 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -17973 times 3.7?\nAnswer: -66500.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-1 - 3 + 5)*(-7 + 1 + 1) - 2 + 2 + 3)*(0*w + w + 0*w) to t + v*w and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eooo when four letters picked without replacement from oeooe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 - 1 - 640*h + 1.\nAnswer: -640*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -43250.8 rounded to the nearest 1000?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (3\/((-9)\/7))\/((-43)\/129)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the second derivative of -107*i**6\/30 - 7*i**4\/12 + 43*i**3\/6 + 5*i**2\/2 - 4*i + 34. Find the second derivative of a(p) wrt p.\nAnswer: -1284*p**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2176*j**2 - j + 22 wrt j.\nAnswer: 4352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 932802 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = 7 - 3. Suppose -n*v + 2*v + 12 = 0. Solve -3*y - v = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (56\/12)\/((-2)\/(-6)). Let q be 23\/7 - 4\/v. Let z = 4 + -2. Which is smaller: z or q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.61? (a) 290 (b) -0.3 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = c**3 - c**2 + c + 3. Let l be g(0). Solve -l = -a + 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 20, -3*q + 116 = 4*u - 78. Calculate the remainder when q is divided by (4 + 22\/(-5))*-30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (3 - 6) + 3 + -4. Let n(b) = -b - 1. Let r be n(d). Let l(v) = v + r*v - 6*v. Let h(q) = -25*q**2. Determine l(h(c)).\nAnswer: 50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -w**3 - 8*w**2 + w + 10. Determine y(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -12*m**3 - 2*m**2 + 15. Let v(y) = -192*y**3 - 33*y**2 + 240. Let r(o) = -33*d(o) + 2*v(o). What is the first derivative of r(a) wrt a?\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = 2*l, 5*q + 3*l - 440 = 0. What is the highest common divisor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -x. Let l(j) = -3*j**2 + 20. Give l(s(o)).\nAnswer: -3*o**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 0 (b) 2\/11 (c) 6\/29 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = -18*d + 17*d + 6*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1652 + -21. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 395 - 340. Let p be 1\/7 - r\/(-105). Is p smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1822*l + 15888 + 34086 - 12175 = -20505 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -17 + 17. Let g(h) = -3*h + h + x*h + 13*h. Let j(l) = 2*l. Calculate j(g(p)).\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -104 - 30 = 4*n + 3*o, 5*o = -10. Let v be 16\/n - 18\/4. Is 138\/2 + v\/((-10)\/6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1911 and 477477?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -22c07a (base 13) to base 9.\nAnswer: -1488260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find u such that 2*u**4\/19 - 78*u**2\/19 - 140*u\/19 = 0.\nAnswer: -5, -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.0321 and -0.064?\nAnswer: 0.0961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = 38 + -28. Solve 10 = 3*b - b - 3*c, 2*c = -2*b + j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33181 > 33168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 40*38\/(-95) - -1173297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(76) + sqrt(76) + -4*5*sqrt(76) - sqrt(76))\/((sqrt(44)*4)\/sqrt(11)).\nAnswer: -19*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 32*q + 30. Let j(a) = -65*a - 67. Let t(b) = 3*j(b) + 5*o(b). What is the hundreds digit of t(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 4 = -0*x + 2*s, 0 = -3*x - 5*s - 11. Suppose t + 160 = p, -2*p - x*t = t - 308. Suppose 2*z = 4*z - p. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mmnx when four letters picked without replacement from xmnxmnnnmnnmxx?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 982, 1168, 1678, 2674, 4318, 6772, 10198, 14758?\nAnswer: 20614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + (5 - (-6 + 13))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 16) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = s**3 - 12*s**2 - 4*s + 3. Let g be x(12). Let a be 54\/g*(-10)\/4. Suppose 2*p + p = a. Solve -4*j = 7 + p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*n - 2*n - 16 + 6*n - 9.\nAnswer: -n - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = 528.9873 - 529.0873. Let d = -7 - -6.7. Let t = 0 - d. What is the closest to p in 0.5, t, -9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 96 - 64. Let b = 627527 - 5657998\/9. Let q = b - -1139. What is the closest to o in 2, 0, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4*d*s**6 - 6846*d*s**4 - 21322*d*s**2 + 245*d + 217*s**3 wrt s.\nAnswer: 480*d*s**3 - 164304*d*s + 1302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lwiw when four letters picked without replacement from iissilsuwsuwsi.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = 88 + -87. Let u(q) = -14*q + 13. Let k(t) = -7*t + 7. Let m(x) = 7*k(x) - 4*u(x). Let p be m(h). Solve -37 = 3*a + 5*f, 13 = -p*a + f + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -u**2 + 2*u + 3. Let s be t(3). Let w(q) be the second derivative of 0 + 0*q**2 - 1\/12*q**4 + s*q**5 + 2*q + 0*q**3 + 1\/30*q**6. Factor w(x).\nAnswer: x**2*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.002059587 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 2, k: 1, t: 2, z: 1, x: 1}. Give prob of picking 1 x and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand -831*l**2 - 823*l**2 + 1666*l**2 - 2*l**4 + (l - l + l)*(-3*l**3 + 0*l**3 + l**3).\nAnswer: -4*l**4 + 12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 4, n: 3}. What is prob of sequence nnii?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -25*q - 7*q + 1376. Do 46 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3245193 a multiple of 359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(228) + 3*sqrt(228) + sqrt(228) + sqrt(228))*-1)\/sqrt(12) + 1)*6.\nAnswer: -36*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide 567 by -189.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:02 AM and 8:20 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 220\/8*93\/155*4\/3\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*r = -12*r + 27735 - 6351. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -2 - -1 - 1*-6. Let z = -0.23763 + 0.03763. Let q = -0.08 - -0.28. Which is the third smallest value? (a) 4 (b) u (c) z (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 3*b**2 + 1. Let o be 8 - (-6)\/(30\/(-25)). Suppose 11*t + o = 14*t. Give g(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 1851564 divided by -2028\nAnswer: -913","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 - ((-6 - -28) + -2) - 6 - -1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j*j*j**5\/j)\/(((j\/(j\/j**(-5\/4)))\/j)\/j)*(j*((j**4*j*j)\/j)\/j)\/j*(j**(-2\/13)\/j)\/j)**27)**(-34) assuming j is positive.\nAnswer: j**(-264843\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that j**3\/6 - 979*j**2\/6 - 819*j - 984 = 0.\nAnswer: -3, -2, 984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.3 in 27, 5, -3, -769, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -214, 1, -2, 3, -243, 4 in descending order.\nAnswer: 4, 3, 1, -2, -214, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**5\/g)**31)**(-11) assuming g is positive.\nAnswer: g**(-1364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 5*u - 40 = 0, -2*u - 3*u - 50 = -5*y. Suppose 0 = 5*h - 5*n - y, 6*h = 2*h + 5*n + 10. Solve 4*i - 14 = -2*g, -3*g = -2*i - 6*g + h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1047, 4278, 9665, 17208, 26907, 38762, 52773?\nAnswer: 68940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -6593775.9 rounded to the nearest 10000?\nAnswer: -6590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1029081*g*y**3 + 2983702*g*y wrt y.\nAnswer: 6174486*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1692, 1694, 1696, 1698, 1700, 1702?\nAnswer: 1704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 72162314 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify n*n**3*n**(4\/3) assuming n is positive.\nAnswer: n**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (-8 + 0 + 3)*((55*o - 5*o - o)*(0 + 0 + 2) - o + 2*o - 3*o) in the form j + v*o and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2 + 1)*(-9)\/3. Let s be (z + -3)\/(-3) + 3. Suppose 11 = 2*f - 3*w - 12, -2*f = 2*w + 2. Solve 3 = -s*y - 4*q - q, -f = 4*y + 5*q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 137 + (-22 - (-12 + 12) - (-3 + 5)).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 5, j: 2, v: 1, p: 1, k: 1}. Give prob of sequence jyjk.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h = 3*h + 8. Let g(l) = 9 + l**3 - 6*l + 9*l**2 - 3*l**2 + 0*l**2. Let k be g(-7). Solve 0 = -2*d + h - k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -5360*v + 42886. What is m(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -205, -79.8, -2 in ascending order.\nAnswer: -205, -79.8, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 147 and 637?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4404 + -2886. Suppose 2*y = 8*y - q. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -9\/5 and 62\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-5)\/10*4 - -64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*u + 15 = 16*u. Let v be (-3)\/(12\/(-16)) + 96\/u. Is 2\/(-3) - (-1284)\/v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) 2\/3 (b) -1\/7 (c) 2.4 (d) 0.2 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) be the second derivative of 2*k**3\/3 + 3*k**2\/2 + k. Let p(j) = -9*j - 7. What is 14*m(g) + 6*p(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9916 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1 - 0)*4*8. Let c = v - -50. Suppose 0*u + 3*d + c = u, -2*u = -2*d - 16. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (j + j - j)*(-3*j**2 + 0*j**2 - 2*j**2) + 14*j**2 + 17*j**2 + j**3 - 34*j**2 + (2*j**2 - j**2 - 3*j**2)*(j - 6*j - 2*j).\nAnswer: 10*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 274 + 170 = f, 676 = 3*n + 4*f. Suppose 5*x - 5*u + 41 = 406, -2*u = -3*x + n. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -m**3 + 10*m**2 + m + 11. Give a(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 3.56495mg?\nAnswer: 0.00356495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:10 AM and 3:05 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 18059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 29 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-3)\/(-51) - (686795\/(-85) + 5)?\nAnswer: 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = -4*r + 196, 2*a - 28 = -r + 16. Let i(y) = 1743*y - 1724. What is the remainder when r is divided by i(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1417*b - 361 = 1416*b. What is the remainder when b is divided by 78?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.4 - -0.3. Let i be 3\/((-66)\/4) + (-1840)\/(-440). Which is the nearest to 2? (a) -2\/13 (b) i (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 66\/72*3 + 2\/8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -27 in 3, 264, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -q**3. Let o(a) = 3*a**3 + a + 2. Give -5*l(s) - o(s).\nAnswer: 2*s**3 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 743, 6063, 20525, 48701, 95163, 164483, 261233?\n\"Answer: 762*r**3 - r**2 - 11*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -57, -60, -65, -72, -81?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 73374?\nAnswer: 2, 3, 7, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/260*(-4)\/30*10?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5928 greater than or equal to -124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*l - 3*w + 3347, 3*l = -4*w + 119 - 2133. Let v = l - -1152. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -u**3 - 4*u**2 - 4*u. Let r be n(-2). Suppose 0 = -r*d - 2*d + 2*b + 108, b + 162 = 3*d. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 285\/5*2\/(-6). Let p = o - -17. Is 470\/8 + p\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + 3*o)*(3 + 1 - 2) + (3 - 8 + 0)*(0*o + 3*o - o) + 2*o - 7*o + 4*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify d\/d**(3\/4)*d\/(d*((d*d\/d**(-13)*d)\/d)\/d*d)*(d\/d**1*d)**(-3\/16) assuming d is positive.\nAnswer: d**(-239\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.85 - 0.7. Let n = u + -0.114. Let w = n + -2.036. Which is the closest to -1? (a) 4 (b) 0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9862482 to the power of 1\/2, to the nearest integer?\nAnswer: 3140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -279, -275, -261, -231, -179, -99?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -770*g + 90832 = 2414*g - 243488 for g.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(1\/19))**(-7)\/((f*f**(-1\/15)*f)\/(f\/(f\/(f\/f**(-1\/13))))) assuming f is positive.\nAnswer: f**(-4538\/3705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*d + 0*d - 5*d + (-2*d - 3*d + 6*d)*(-4 + 2 + 4) + 8 + 14*d - 8 + (0 + 0 + d)*(-7 + 2 + 3) to the form m*d + v and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1026 and 59469183.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13 - 3*h - 3*h + h.\nAnswer: -5*h + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 291 minutes before 8:51 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rrkrkkkrkmkmkmmrk. What is prob of picking 3 k?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -17, -36, -55?\n\"Answer: -19*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 3*m + m - 5*m + 53 - 54. Let k(p) = -7*p**2 + 3*p + 8. Let w(y) = -6*g(y) - 2*k(y). Differentiate w(t) with respect to t.\nAnswer: 28*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -13 (b) -3\/4 (c) -0.037\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f**(-1\/4))**20*f\/f**(1\/8)*f*f**(1\/5)*(f*f\/f**(1\/4))**(4\/19)\/((f\/f**(-2))\/f**(-2\/5)) assuming f is positive.\nAnswer: f**(10673\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000064389 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*j - g - 65, 5*j - 66 - 59 = 5*g. Let z = j + -16. Let w = 160 + -158. Solve -w*f + z = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 141.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Are -5\/3 and 0.8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 2 = -4*t + 18, -5*t = 3*f - 32. Let m = t + 2. Suppose m*h - 3*h - 6 = 0. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1 + 2 + -3)*(-10 - 0). Let v be ((-5)\/(-4))\/(1\/4). Solve -45 = 4*w + 5*j, v*j = j - g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) be the third derivative of b**6\/120 - b**5\/20 - 5*b**4\/24 + b**3\/3 + 22*b**2. What is v(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*z + 0*z + 0*z + 4*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 46\/(-2) - 22872309\/(-993765) and 26\/4781?\nAnswer: 23905","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 - -89 - 144 - -120.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(-16))\/(157\/(-1256)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((2004\/(-16366))\/(2\/7))\/(-1). Let 0 - 3\/7*l**2 + g*l = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (37 - 39)\/(4\/6*1). Is -9 - -79 - (d + (5 - 3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*f**4 + 35196*f**3 - f**2 + 2*f + 9944.\nAnswer: -48*f + 211176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m be 171\/(-6) + 4 + 3\/6. What is the second biggest value in 1\/9, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -43 + 1604. Suppose a - 5*z - q = 0, z + 4025 = 2*a + 903. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 332 minutes before 4:10 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (f - 3 + 3)*(-3*f + 4*f + f) + (-25*f - 10*f - 18*f)*(3 - 3 + f).\nAnswer: -51*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(171)*3 + sqrt(171) + sqrt(171) + 3*(sqrt(171) - (sqrt(171) + sqrt(171)*1 + sqrt(171))))\/(sqrt(225)*-5 + sqrt(9)*-4*1).\nAnswer: -8*sqrt(19)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 86 a factor of 34698403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = 994 + -8051\/8. What is the common denominator of a and (9\/2)\/(-145 - -143)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (2\/2)\/((-115)\/23 - (-87)\/18)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g + 16 = 3*d, 0 = 3*g + d + 3 - 4. Let m = g - -8\/5. Let i = 2179 + -23921\/11. What is the common denominator of m and i?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 8 + -11. Let l = 14 - 10. Let z(i) = i**3 - 4*i**2 - i + 4. Let n be z(l). Which is the closest to n? (a) s (b) 1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -7*r**2 + 25*r + 19. Calculate h(8).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:06 PM and 5:29 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 2*a**3 + 22*a**2 + 4*a - 7. What are the prime factors of f(-10)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*h - v - 164, 5*v - 14 - 46 = -2*h. Suppose 9*t - 6*t = 24. Suppose -t = -g + 6. Calculate the remainder when h is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -l + 5. Let a(s) be the third derivative of -s**4\/24 + s**3 + 378*s**2. Calculate 4*a(n) - 5*c(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*z**4 - 2*z**3 - 6*z**2 + 10*z - 4.\nAnswer: 2*(z - 1)**3*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2675622778?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = k**2 - k - 20. Let a be d(0). Suppose -x = -4 - 2. Let s be (a\/12)\/((-2)\/x). Solve -2*m = -4*p - 14, p + 26 = -0*m + s*m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 955977128.\nAnswer: 2, 1579, 75679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*g*x**2*z - 7*g*x**2 - 6*g*x*z**2 + 2*g*z**2 - 28*g*z - 52*x**2*z**2 - 8*x**2 wrt z?\nAnswer: -12*g*x + 4*g - 104*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -715, -726, -717, -676, -591, -450, -241, 48?\n\"Answer: 2*k**3 - 2*k**2 - 19*k - 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - (4 + -7)) + -3 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-b**2 - 3*b**2 - 5*b**2)*(0*b**2 - b**2 - 2*b - 2*b**2) in the form j*b**2 + s*b + a*b**3 + u + o*b**4 and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of (-10)\/(-3) + (-240)\/(-144) - -4 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 682646 and 110103295?\nAnswer: 109420649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*a**5\/7 + 102*a**4\/7 - 12*a**3\/7 - 204*a**2\/7 + 6*a\/7 + 102\/7 = 0.\nAnswer: -17, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 - 4 + 3)*(0*z - z + 0*z + (1 + 2 - 5)*(-z + 2*z + z))*(z**2 - z**2 + z**2) in the form i*z**3 + n*z**2 + d*z + p and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 20*i**3 - 7*i**2 - 145*i - 7. Let j(f) = -18*f**3 + 6*f**2 + 148*f + 6. Determine -6*h(q) - 7*j(q).\nAnswer: 6*q**3 - 166*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o, 1 b, and 1 z when three letters picked without replacement from {o: 4, b: 2, u: 2, r: 1, z: 2, m: 9}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (154*z + 47316*z**2 - 154*z - 187544 + 187544 + (2*z + 0 + 0)*(0*z + 0*z - 2*z))*(2 - z - 2).\nAnswer: -47312*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = -122 - -70. Let b = -25.9 - t. Round b to 0 dps.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 6\/(9\/24*(0 - -4)). Let s(y) = -y. Let w(a) = 2*a - 1. Determine i*s(l) + w(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 431 times -558083\nAnswer: -240533773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2649 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-16)\/(-18))\/4 + 1425\/(-2646). Let f = p - 3653\/147. Find the common denominator of f and ((-6)\/(-32))\/(2\/(-8)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 261, 127, -237, -945, -2111, -3849, -6273, -9497?\nAnswer: -13635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 36*o**2. Let p(n) = 193*n. Determine r(p(s)).\nAnswer: 1340964*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 544 (base 7) to base 5\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) be the third derivative of h**5\/60 + 7*h**4\/24 + h**3\/3 - 2*h**2. Let n be f(-7). Suppose -14 = -0*m - n*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 3*s - 86 = 0, -4*h + 4*s - 164 = 2*s. Let m = h + -4. Do -45 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 26405, 26478, 26551, 26624, 26697, 26770?\nAnswer: 26843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -12, 3, -26, 22\/7, 0, -2 in ascending order.\nAnswer: -26, -12, -2, 0, 3, 22\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -2*o**3 - 14*o**2 - 2*o - 7. Let t be r(-7). Let u be (2 - 12\/7) + 26\/t. Suppose 4*x - v = 23, -4*x + u*v = v - 13. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -6119.735 to the nearest ten.\nAnswer: -6120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 4730204 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: Suppose 4*c = -4*p + 1712, -3*p + 4*c + 1270 = -0*c. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 5747861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3423*m**3 + 3423*m**3 + 22*m**4 + 8*m**2)*(-2 + 0 - 1)*(5*m - 10 + 10)*(0 + 7 + 1).\nAnswer: -2640*m**5 - 960*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = 421 + -169. Suppose 172*u - 45 = 163*u. Suppose -4*a + 5*y - n = 0, -u*a + 0*a = 5*y + 315. Which is bigger: -1\/2 or a?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-12 - 7434\/(-621))\/((-1)\/(-3)). Sort 1\/10, -4, v, 1 in descending order.\nAnswer: 1, 1\/10, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 40, 60, 90, 136, 204, 300, 430, 600?\nAnswer: 816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -13 * 0.0627\nAnswer: -0.8151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*s - 4*s - 108708 + 108708.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = m. Suppose -3*k + 4*d = 12, -5*k - 2*d = -3*d + 3. Let h be w(k). Let a be -4 + h + 1 + 4. Which is bigger: 1\/11 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by 34.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 40 and 312.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -38*m - 106. Let g(d) = 7*d + 21. Calculate 33*g(n) + 6*z(n).\nAnswer: 3*n + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -33*z. Let v(b) = 3644431*b - 3. What is l(v(i))?\nAnswer: -120266223*i + 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u be (5\/4)\/(-5)*-20. Suppose -10 = 2*r, -2*j - 35 = -u*r - 86. Let s be (0 + (-23)\/(-3) + -4)*3. Which is smaller: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*d**5\/8 - 15*d**4\/8 - 9*d**3\/4 + 3*d**2\/2 + 3*d.\nAnswer: -3*d*(d - 1)*(d + 2)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/453? (a) 4 (b) -4 (c) 2\/19 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3215353*j**2 + 5496*j + 189?\nAnswer: 6430706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 3 - -746?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1*75 - 39\/13. What is the highest common divisor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5289\/4712 - -3\/1178. Let z = -324 + 4214\/13. What is the third biggest value in -5, z, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -41\/4 and 131\/71259000.\nAnswer: 71259000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -78*q**2 - 3*q**3 + 159*q**2 - 81*q**2.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:27 AM and 4:13 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 4*x - 4849 = 0, -3*k - x + 14571 = -5*x. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -a**4 + 3*a**3 - 205 - 2*a**3 + 6*a + 207 to w*a + v*a**2 + f*a**3 + l*a**4 + y and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 138213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5665.\nAnswer: 5, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12117703 is divided by 81.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 5*d**2 - 2*d + 8. Give s(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7507391 is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*w = 4*q + 12*w + 371, 3*w + 0 = -5 - 4 for q.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Are -959 and -958 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b be (5\/(-3))\/(9\/(-27)). Suppose 3*q - 3797 = -q - 3*k, 2*q - 1931 = b*k. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 2*b = 3, -x + 21 = x + 5*b. Suppose -4*t + 5*t = x. Suppose -5*s = -4*l - 32, 0 = -7*s + t*s + 4*l + 28. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*i - 7*i + 11 = 4*d, 0 = 47*d + i - 142 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 2*x**2. Let b(n) be the first derivative of 11*n**6\/360 + 5*n**3\/3 - 3. Let v(a) be the third derivative of b(a). Calculate v(y(p)).\nAnswer: 44*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1948795 is divided by 149868?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand b**3 - 5*b**3 + 8*b**3 + (-2*b**2 - 1 + 1)*(b + 0 + 0).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0005704202074 to 5 dps.\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(117) - sqrt(117)*-2*-5 - (sqrt(117) + (sqrt(117) + sqrt(117)*2)*-6)))\/((-6*-2*sqrt(99))\/(2*(sqrt(11) - sqrt(44)))).\nAnswer: 16*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -78629, -78908, -79379, -80048, -80921, -82004, -83303?\n\"Answer: -h**3 - 90*h**2 - 2*h - 78536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -4*c**2 - 25*c + 3. Let z(a) = -46*a**2 - 274*a + 34. What is -68*v(h) + 6*z(h)?\nAnswer: -4*h**2 + 56*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = 39 - 22. Suppose -q*x + 12*x + 2545 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 288353 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 109*x - 200*x + 91*x - 764*x**2.\nAnswer: -764*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -2*(-5 + 8) + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2630 or -44733\/17?\nAnswer: -44733\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 13279, 94 in descending order.\nAnswer: 13279, 94, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 13188 and 153075.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + (2 - 0) + -4 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 times -1.4547?\nAnswer: -0.58188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/6, 4, 35 in ascending order.\nAnswer: -1\/6, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 6*z + 3. Let w be p(-2). What is the remainder when (w + 11)\/((-1)\/(-13)) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 242 a factor of 3937050084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 16) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Are -494\/3 and -165 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = -344 - -346. What is the hundreds digit of -10 + 0 - -725 - 2\/v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 88\/32 - (-6)\/(-4). Let g = v - 37\/36. What is the nearest to 0.1 in g, -4, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l*l*l\/l**(-2\/115)*l**(-26)*l assuming l is positive.\nAnswer: l**(-2528\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 18*a + 9. Let d(z) = 85*z + 36. Let l(q) = 4*c(q) - d(q). Let i(g) = -13*g. Calculate 5*i(o) - 4*l(o).\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v be -2*(0 + -2*1). Suppose -3*c = -v*c + 1. Let y = -15 - -17. Does c = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:02 PM and 12:44 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence il when two letters picked without replacement from {l: 2, i: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 96 = 5*x, 107 = 4*z - 4*x - 85. Let u = 52 - z. Which is the smallest value? (a) u (b) 1 (c) -2\/95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-18177)\/(-584) - ((-69)\/24 + (2 - -1))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = l**3 - 6*l**2 + 7*l - 7. Let y be z(5). Calculate the common denominator of 67\/30 and 586*y\/1386 - 3\/(-7).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -955798, -7646464, -25806840, -61171780, -119476138?\nAnswer: -206454768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-2)\/6 - (-31)\/3. Let v = 13 - 8. Suppose 20 = -m + v*m. Solve 4*o + m*i - i - 16 = 0, 0 = -2*i + a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -4*q**3 - 2*q**2 + 11*q - 45. Is 18 a factor of w(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) be the second derivative of r**3\/6 - 3*r**2\/2 + r. Let b(l) = -l**2 - 3*l + 7. Let f be b(4). Let d = 18 + f. Give h(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(77)*-5 + sqrt(77) - sqrt(77))\/(sqrt(28)\/sqrt(36)).\nAnswer: 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 4*i**2 + 2*i + 2. Let q(u) = 9*u**2 + 5*u + 5. Let v(w) = -5*h(w) + 2*q(w). Let s(b) = 624*b. Give s(v(o)).\nAnswer: -1248*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 26537581997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-48)\/(-14)*1092\/(-234).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -4 (base 5) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from whwoh. What is prob of picking 2 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dyqx when four letters picked without replacement from ldqdylyttytyyyyxyxyd?\nAnswer: 3\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**2*r)**(8\/7) assuming r is positive.\nAnswer: r**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 24\/(-16)*(-2)\/9\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) be the first derivative of -21*z + 44\/3*z**3 + 45 - 3*z**2. Is v(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 7, -1423, 0, 3 in decreasing order.\nAnswer: 7, 3, 0, -3, -1423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1 + 50\/4 + 15\/(-10). What are the prime factors of (-30)\/2*(-92)\/n?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 124, 4, 22, 79483 in decreasing order.\nAnswer: 79483, 124, 22, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = j + 1. Let x be ((-16)\/24)\/(2\/3). Let b be x\/6 + 5\/(-6). Let m(g) = 8*g + 12. What is b*m(k) + 10*r(k)?\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p = -862 + 350. Let l = p + 512. Put -42, -3, l in decreasing order.\nAnswer: l, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-8)\/(-28) - 184\/7. Let m = -16 - u. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*g + 403 = 445. What is the greatest common factor of 973 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -b**2 - 51*b + 45. What is the remainder when c(-23) is divided by 99?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 49 - -7. Suppose y = 2*y - z. Let n be (-3)\/4*y\/(-147). Which is the biggest value? (a) 0.1 (b) -0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1367648, 1367645, 1367642, 1367639, 1367636, 1367633?\n\"Answer: -3*q + 1367651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*g**3 - 8925*g**2 + 53685*g - 80595.\nAnswer: -5*(g - 3)**2*(g + 1791)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -d - 51 + 53, 0 = -k + 5*d - 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) be the third derivative of -l**6\/300 - l**5\/50 - 16*l**2 - 16*l. Factor q(a).\nAnswer: -2*a**2*(a + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 3*a - 4. Let o(v) = -6*v + 8. Let i(m) = -o(m) - q(m). Let y(h) = -h + 1. Let l = 11 + 3. Determine l*y(x) + 4*i(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in -3\/23660, 3.1, -0.2, 0.8, -3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -d - 5*d + 4*d + (-2 + 2 + 1)*(-2 - 2 + 6)*(-26*d + 10*d - 3*d) to the form c + f*d and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 7*r + 10 = 0. Suppose -5*p + 3*j + 20 + 37 = 0, -j = -4*p + 40. Let t be (p\/6)\/(3\/12). What is the greatest common divisor of t and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 11552, 11373, 11182, 10979, 10764, 10537, 10298?\nAnswer: 10047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -4*i - 27. Let k be l(-9). Solve k = -3*p - 4*f, 4*p - 3*f - f + 12 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 186 and 54746.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = n**3 + 7*n**2 + 26*n - 1. Let q(p) = p**2 + 3*p. Let t(y) = -6*q(y) + x(y). Calculate t(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (3\/(-6))\/((-5 + 6)\/(156\/6))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6.46 + -6.72. Let h = 59.46 - 59. Let l = t + h. What is the closest to l in 0.2, 4\/3, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2 or 75024027?\nAnswer: 75024027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 97\/228 and 151\/72.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 34 = 11. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -14, -52, -114, -200?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 6) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 2 h when three letters picked without replacement from dkdffddfdfhkk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9, 0, -5, -6, -3, 4, 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:57 PM and 10:47 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 7? (a) 5 (b) -4 (c) -15 (d) -3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 6040460 + 6?\nAnswer: 6040466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 44536 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 7949411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = 13 + -10. Let y be (1\/1)\/(d\/60). Solve -5*k + 5 = -y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7 - 6. Let n(o) = 5*o**2 - o. Give n(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/5? (a) 8 (b) -1 (c) 2\/11 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 164 divide 22616810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.094 or -46\/9?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = -4*y + 9, -5*y - 2 = -d - 16. Suppose a = 2*a - 18. What is the smallest common multiple of y and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - 4 - 5 = -3*x, -x + 3 = g. Let q(m) = 2 + m - x - 1 + 3. Let o(k) = -4*k - 3. Determine -o(w) - 2*q(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + 5 + (1*sqrt(1250)*-4 - ((sqrt(550) - -4*sqrt(550)*4) + sqrt(550))\/sqrt(11))**2.\nAnswer: 72208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 852791 is divided by 27509?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 14 = -4. Suppose -3*w + 3*k - 10 = -k, -5*w + g = -k. Let c be (3 + -1)*(w + -36502). What is c rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000876335233 to seven dps.\nAnswer: 0.0008763","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-708)\/13275*(-2 + 7)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 302*q - 292*q + 90 = 0. Put -4, -5, q in ascending order.\nAnswer: q, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yyyyyyyyyy. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = a**3 - a**2 - a. Let w(l) = -7*l**2 + 2*l. Let j be (-13)\/(1053\/90) + 1\/9. Determine j*w(f) - 2*y(f).\nAnswer: -2*f**3 + 9*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1\/(21\/2 + 0). Let a be (-11139)\/79*2\/(-6). Suppose -44 = l + 2*h - a, 2*h - 2 = 0. Which is greater: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -148, 5, 2\/77, 0.1, -1.4, -0.5 in increasing order.\nAnswer: -148, -1.4, -0.5, 2\/77, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-12)\/(-2) + (-18)\/6. Solve -p - t*v + 15 = 0, -2 = -2*p - 0*v + v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 417399018.\nAnswer: 2, 3, 69566503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -18 + 16 - (-1 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 6479.0291 rounded to 0 dps?\nAnswer: 6479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1489379390.\nAnswer: 2, 5, 29, 43, 83, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand 14*f - 110*f + 23*f + (1 + 1 - 3)*(f - 1 + 1).\nAnswer: -74*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 36 and 3716380?\nAnswer: 33447420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 1a4c (base 13) to base 15\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-2)\/(-6)*0 + 2. Suppose 4*n - 20 = h*d, -4*n - 3*d = d + 4. Solve 2*u + 8 = 4*s, -3*u + 3 + 3 = n*s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -27 by -7910.\nAnswer: 27\/7910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 12 + 0 = 0. Let z(d) be the third derivative of -1\/12*d**4 + 1\/6*d**l + 0 - d**2 + 0*d. What is the first derivative of z(v) wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5 in 12\/7, -0.2, 1?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 206934.881 rounded to the nearest 10?\nAnswer: 206930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 5 + 204811?\nAnswer: 204816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 1033*h**3 - 2*h**2 - 4591 wrt h.\nAnswer: 3099*h**2 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 42*l - 2849. Give u(69).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*m**2 - 490659*m - 981306.\nAnswer: -3*(m + 2)*(m + 163551)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 32 = 5*i - 5*w, 4*i + 2*w = 40. Let m = i + -6. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 85239 divided by 231.\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16847*u**2 - 6360*u**2 + 27775*u**2.\nAnswer: 38262*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(-4*(0 + sqrt(10)\/sqrt(2) - ((-1*sqrt(5) + -3)**2 - sqrt(5))) + 5)*-2.\nAnswer: 192*sqrt(5) + 732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 103*p = 98*p + 13*y + 33, y - 7 = -2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 3*r**3 + 12*r**2 - 4*r - 3. Let w be b(-11). What is w rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhwrhfwwzfw. What is prob of sequence wh?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -189810 = -28*t - 29*t. What is the thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d = -0 + 76. Suppose d = k + 21. Let m = k + -52. What is the remainder when 13 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3044 - -3495. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 0*l + 88 = 5*c, c - 72 = -4*l. Calculate the remainder when 66 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 1146, 2238, 3332, 4422, 5502, 6566, 7608?\n\"Answer: -x**3 + 7*x**2 + 1078*x + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -7 + 11. Let g(q) = -q**2 + 78*q - 1475. Let h be g(46). Which is greater: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -659 + 664. Let v be 11\/3 + 1 + 0. Let l = v - n. Which is the third smallest value? (a) 0.5 (b) l (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*r**4 - 14534*r**3 - 4709*r**2?\nAnswer: -48*r - 87204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 56\/(-4)*(-1813)\/343.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 48 and 2636?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d = -5*q - 40, -d + 2*q = -2*q - 23. Suppose d*g = -7*g + 130. Solve 5*p + g = 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*b - 4*b + 5*y + 9 = 0, 5*b - 5*y - 45 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -39959000 rounded to the nearest one hundred thousand?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = j + 5. Let w(n) = 2461*n + 2449*n - 4911*n + 0 + 0 - 1. Suppose y - 3*z - 2 = 1, -2 = -2*y + 5*z. Let v = y + 15. Give v*w(b) + r(b).\nAnswer: -5*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3\/6 - 6\/(-4). Let t = u + 2. Solve 3*f - 20 = -2*f, 0 = -5*v + t*f - 36 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4097\/31, 0.1, -4, -0.2 in descending order.\nAnswer: 0.1, -0.2, -4, -4097\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1305 = -19*q + 22*q. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5 + u - 7*u**3 - 298*u**2 + 1 + 296*u**2 to f*u**3 + b*u**2 + v*u + w and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 8*p**2. Let i be r(-1). Let t be (-1)\/1*(i + -11). Suppose 60 = t*z + 12. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -347, -698, -1051, -1406, -1763, -2122, -2483?\nAnswer: -2846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be (156\/24)\/(2 + (-9)\/6). Let u(q) = -q**3 - q**2 + q - 2. Let r be u(-3). Calculate the highest common divisor of x and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-20)\/25)\/((-6)\/(-15)). Let l = b - -5. Suppose l*t + 2*h - 130 = 4*h, -215 = -5*t + 5*h. Calculate the greatest common divisor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 4) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -34071 - -34068. Which is the nearest to 12? (a) -0.3 (b) j (c) 2\/21 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 195242 and 566866?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 752*b - 5. Let r be a(-1). Let i = -512 - r. Suppose 2*g + w = 184 - 29, 3*g - w - i = 0. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1967\/5 - 41182\/105. Let p = 575\/42 - r. Let c = -76\/15 + 22\/105. Find the common denominator of c and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 285*l**3*p - 3*l**2*p**2 + 18*l - 214*p**2 + 46*p wrt l.\nAnswer: 855*l**2*p - 6*l*p**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -446, -480, -562, -716, -966?\n\"Answer: -4*j**3 - 6*j - 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 - (-1 - (5 + 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/4, 14, 12 in increasing order.\nAnswer: 1\/4, 12, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 2*o - 595. Let s(v) = 370*v. Give s(n(z)).\nAnswer: 740*z - 220150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (b + 0*b - 2*b)*(-33 + 3 + 15).\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 6*h**3 + 3*h**2 - 3*h - 1. Let t(u) be the first derivative of 3*u**4\/2 + 2*u**3\/3 - u**2 - u + 1299. Determine -2*l(m) + 3*t(m).\nAnswer: 6*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -14043, -14093, -14145, -14199?\n\"Answer: -t**2 - 47*t - 13995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -422654 (base 9) to base 10.\nAnswer: -251311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 409 - 0?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-8)\/44 - (-2)\/11. Suppose f*c = 4*c + 36. What is the units digit of c\/6*2\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-8368)\/1046)\/(30\/9).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -n + 7. Let q be (-57)\/(-12) + (-1)\/(-4). Let i be f(q). Suppose 3*x - 4*j + 1 = 0, -4*j = -2*x - 0*j - 2. Sort x, i, -1.\nAnswer: -1, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7910?\nAnswer: 2, 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 4739350097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor v**3 + 728704*v**2 + 27689669*v + 263048426.\nAnswer: (v + 19)**2*(v + 728666)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p**2 - 33*p. Let b be l(-28). What is the highest common divisor of 60 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/3 of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.5, 4\/5, 1\/4, -3, 0.13165, 4?\nAnswer: 0.13165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by 7479590\nAnswer: -1\/1495918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 15708 divided by -102\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 10*p + 26. Calculate the smallest common multiple of y(-2) and 182.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -592.1 + 592.099996521. What is i rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find k such that -15125*k**3 + 132648450*k**2 - 19294080*k + 701600 = 0.\nAnswer: 4\/55, 8770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 72298456.\nAnswer: 2, 239, 37813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = -40 + 44. Suppose 0 = x + 1, 0 = -f*a - 2*x - x + 13. Solve -a = -2*n - 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 191216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 34\/(59 - 7175\/123).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Total of -10887871 and -163.\nAnswer: -10888034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) be the second derivative of 1\/6*m**3 + 2*m + 0 + 0*m**2. Let n be 2\/((-7)\/6 - (-202)\/303). Determine x(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 79.66575 months in decades?\nAnswer: 0.66388125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -25.9 + 25.9. What is the nearest to 1 in -1\/20, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 4*g = -0*g - 27, d = -g. Calculate the remainder when d is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -65\/5048 and -3\/784?\nAnswer: 494704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 209467 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = -4*w + 6. Let f(t) = t**3 - 2*t**2 + t - 2. What is f(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-29*2\/(-3))\/((-594)\/(-462)*56\/432).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 7*t + 3. Let p be y(6). What is the greatest common divisor of 18 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, 2, -24 in descending order.\nAnswer: 2, -10, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 235, 502, 797, 1126, 1495?\n\"Answer: h**3 + 8*h**2 + 236*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 74 - 63. Let s be (-30 - -29)*(2 + -3). Sort q, -4, s in increasing order.\nAnswer: -4, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1428 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*q - 4*o + 15, -2*o - 15 = -4*q + q. Suppose -k = 3*p + 4, 0 = p - 5*p - k - q. Let f(t) = t - 7*t**3 + 0*t**3 + t**2 + 0*t**3. Calculate f(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1223 (b) 8618 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 27871082, 55742166, 83613250?\n\"Answer: 27871084*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Subtract 2 from -869676141.\nAnswer: -869676143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n = 4*g + 50, -3*g - 46 = -4*n + 23. Suppose -u + 20 + 46 = 4*t, -u = 2. Is t smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 0*d + 6 = 2*d, -5*d = 5. Sort z, -1, -5.\nAnswer: -5, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -26969, -53920, -80851, -107762?\nAnswer: -134653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8174631?\nAnswer: 3, 2724877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x - 4 + 12 = 0. Let s(f) = 4*f**x - 4*f**2 - 2*f**2. Let j(d) = 5*d**2 + 1556 - 1556 + 3*d**2. Calculate j(s(m)).\nAnswer: 32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 17*b**2 + 53*b - 3504.\nAnswer: 34*b + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 34d2 - -5?\nAnswer: 34d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c**3\/3 - 1306*c**2 - 38580*c = 0. Calculate c.\nAnswer: -1929, -30, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) be the first derivative of -12 - 25*y - 2*y**2 + 0*y**3 + 1\/12*y**4. Let p(f) be the first derivative of q(f). Let p(z) = 0. What is z?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 0*j**2 - j**2 - 9*j**2. Let x = 43 - 33. Let f(s) = -5*s + 4*s - x*s + 7*s. Calculate f(u(g)).\nAnswer: 40*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -61*g + 70 = -68*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 40*a**2 + 9*a. Suppose i - 6*i = -s + 22, -3*s - 24 = 3*i. Is q(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -40, -35, -26, -7, 28, 85, 170?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -90*v - 459. Let n(j) = 30*j + 152. Let z(i) = -2*m(i) - 7*n(i). Let d be z(-30). Calculate the greatest common factor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*m**2 + 0*m**3 + 19*m**2 - 17*m**2 - m**3.\nAnswer: -m**3 - 9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = -12 + 8. Let v(c) = -16*c + 971. Let x(n) = 9*n - 555. Let f(m) = -4*v(m) - 7*x(m). Calculate f(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000424 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2\/401 - -828\/5213. What is the second biggest value in 1\/4, p, -3\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 52540 (base 9) to base 16.\nAnswer: 8790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 697656523234 and -0.867?\nAnswer: 697656523234.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -512*r + 61956. Give i(121).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -498 - -768. Let h be p\/(-100)*40\/(-48). Factor -2 + h*a - 1\/4*a**2.\nAnswer: -(a - 8)*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from blll.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 87 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1494 or -341840\/229?\nAnswer: -341840\/229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -16605 divided by -5535.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 3*n**2 - 8*n + 3. Let g(s) = 4*s**2 - 7*s + 4. Suppose 0 = 3*y + u + 15, 0*u = 2*u + 6. Let p(i) = y*g(i) + 5*b(i). What is the tens digit of p(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 661 = -3*p + 679, 0 = -2*r + 4*p + 164802. What is r rounded to the nearest 100?\nAnswer: 82400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from {x: 1, d: 4, i: 3, l: 6, r: 2, p: 2}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1.18432 + 654335.81568. Let m = a - 654338.199941. Let t = -1.2 - m. Round t to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 8773*b + 3242 wrt b.\nAnswer: 8773","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -a**2 - 92*a - 2019. Let q be z(-35). Let p(w) = 12*w + 292. Give p(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 9\/40 - 33\/80. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 38 - 36. Let o = k + 67. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = b**3 - 8*b**2 - 4*b + 9. Let o be f(8). Let m = o - -31. Solve -2*t = -3*u - m, -11 - 11 = 5*t + 3*u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 7*a - 17. Let w(o) = 3*o + 13. Let d be w(-2). Does 4 divide k(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*s = 9 - 37 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 11 (base 4) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-16)\/(-8))\/(4*-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is (1*4)\/(6\/12) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the first derivative of -4*k**3 - 11. Let y(x) = 41*x. Calculate q(y(v)).\nAnswer: -20172*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -196176*m**3*t - m**2 - 662*m*t - 26*t wrt m?\nAnswer: -1177056*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*(y\/y**(-1\/7))\/y*y**34*y*y*y*y*(y*y*y**(-25\/2))**(-6))**(-14\/9) assuming y is positive.\nAnswer: y**(-1430\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - 2 - -5 - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 610286838?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 9 divided by 84?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3458161?\nAnswer: 7, 494023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12*b + b - 2 + 0*b)*(-b - b + 0*b)*(5*b - b - 3*b).\nAnswer: 22*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-100 - -100) + -6 + -1 + (-44 - (-1 + -4))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.8287 and -142.048.\nAnswer: -142.8767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*y - 6*q + 4*q - 319868, 6*q = 5*y - 399835. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 560 and 25453120?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 1\/6, -5, 0.1, -1\/9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 + -2 + (4 - 0) - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00163176398 rounded to 5 dps?\nAnswer: -0.00163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 10*v + 132. What is the tens digit of x(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -175 at most -175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-165)\/102 + 2 - 5\/10. What is the second biggest value in 0.1, a, -4, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 2 v when three letters picked without replacement from xurvrxruxvviduvvu?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 4, c: 2, n: 7}. Give prob of sequence qqc.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 2*m + 11044. Let g(o) = -19*o - 65. Give g(l(h)).\nAnswer: -38*h - 209901","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -40*v = 3*o - 206, -o + 37 - 7 = 4*v + 3*o + 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find d, given that -59*d**2 + 184310*d + 18744 = 0.\nAnswer: -6\/59, 3124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 9, c: 1, p: 1, l: 1, d: 4, o: 1}. Give prob of sequence wd.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = -226 + 1034. What is n rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 less than -6957.3?\nAnswer: -6962.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 28 (b) -1\/4 (c) 249 (d) -25 (e) 1\/24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -w + 7. Let s be k(-10). Let o = -13 + s. Suppose -3*x + 1645 = x - u, o*u - 1229 = -3*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -t**2 - 29*t + 92. What is x(-35)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is -6471\/110 greater than -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Suppose 58*k - 64*k = -180. Suppose 0 = -7*y + y + k. Solve 5*v + 0*v + y = -4*l, 32 = 4*v - 4*l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1232322 - 141343?\nAnswer: -1424220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or 3\/486269?\nAnswer: 3\/486269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 96*f = 106*f - 451 - 149. What is the greatest common factor of 8400 and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 406 + -22. Let g = p + 48. Let n = -215 + g. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -10*s + 162. Let r(x) = 9*x - 161. Let o(p) = -5*g(p) - 6*r(p). Let c be o(33). Solve -10*q + 22*q = c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -5053, -0.2, -0.5, -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, 3, 16, 4\/7 in descending order.\nAnswer: 16, 3, 4\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(2\/5)\/n**4)\/(n\/((n*n**(2\/11)\/n)\/n)*n**(1\/3)) assuming n is positive.\nAnswer: n**(-949\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -54*l + 6*l. Solve 2*b + 17 - 7 = l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 100*s**2 + s - 11. What is the hundreds digit of z(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -587870, -1175738, -1763606?\n\"Answer: -587868*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -66*y = -561 - 165 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -237 (base 16) to base 7.\nAnswer: -1440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -18142, 2\/3, 1, -10\/17 in ascending order.\nAnswer: -18142, -10\/17, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1\/422, -7, 3\/5, -233?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -d**2 + 1. Let i(k) = -2*k**2 - 122*k + 4. Calculate i(m) - 4*r(m).\nAnswer: 2*m**2 - 122*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:59 AM and 10:51 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = -s - 2*f, -s + 2*f = s - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -r. Let l(u) = 189*u - 13. Determine m(l(t)).\nAnswer: -189*t + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 20469761?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + (7 - 4 - -1) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w*w*w*w**(-3)*w*w)\/w)**(-32)*(w*w*w**(1\/7))**(-16) assuming w is positive.\nAnswer: w**(-464\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t, 1 d, and 1 g when three letters picked without replacement from {m: 3, g: 1, p: 5, l: 1, d: 3, t: 4}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 223605842743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 5610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 774005 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 55 divide 554192265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(130)*-1*5)\/sqrt(10) + -2)**2.\nAnswer: 20*sqrt(13) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*k - 1129712*m + 1129710*m + 45, -70 = -5*k - 5*m for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -9408*j**2 - 49*j - 49. Let u(d) = 392*d**2 + 2*d + 2. Determine -2*m(g) - 49*u(g).\nAnswer: -392*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*s + 49*g - 53*g + 20, 4*g + 20 = -3*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 6.7 (b) 18 (c) 4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2735 = 10*w - 2715. Let j(h) = -h + 1. Let x be j(2). Let l = -4 - x. Which is greater: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 - (-26 - (24 + -23))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 646*x**2 - 8*x - 109. Is t(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) be the third derivative of a**6\/120 + a**5\/4 + 7*a**4\/12 - 2*a**3\/3 + 9*a**2. Let t be w(-14). Put 5, -3, t, -5 in decreasing order.\nAnswer: 5, -3, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 2*d**2 - 18*d - 20. Let q(z) = -4*z**2 + 37*z + 41. Let h(o) = 7*c(o) + 4*q(o). Factor h(r).\nAnswer: -2*(r - 12)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -26 + 29. Suppose -3 - 1 = -d, -3*d + 3 = -i*r. Solve 2*a + 5*f = 2*f, -4*a = r*f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 28, 60, 92, 124, 156, 188?\n\"Answer: 32*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 4\/((-528)\/(-2265)) + 2\/22 and 1\/5*(-970)\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y*y**(-1))\/((y*y\/y**(-6))\/y)*(y\/y**8)\/y**(-1\/12) assuming y is positive.\nAnswer: y**(-155\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -o**3 - o**2 + o + 7. Let g be k(0). Let j = g - 2. Suppose -r - 79 = -2*t, j*t + 2*r - r - 208 = 0. List the prime factors of t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 53410589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55*m = 65*m - 900. What is the least common multiple of 18 and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 19364 and 9785.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r*r*(r**(-2)\/r)\/r*r)**(2\/77))**(-2\/31))**(-7\/4) assuming r is positive.\nAnswer: r**(-1\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0001224086 to six dps.\nAnswer: 0.000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 15) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(18)\/(sqrt(36)\/sqrt(6)) + (sqrt(3) - 3*sqrt(3))*2)*3.\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 14313538 + -48?\nAnswer: 14313480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -q + 4*o - 17, -2*q - 4 = o - 3*o. Let p be (-242)\/(-7) - 78\/(-182). Suppose 0 = -25*b + 160 - p. Calculate the least common multiple of b and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*g**3 + 1187448*g**2 - 2374890*g + 1187444.\nAnswer: -2*(g - 593722)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/32 of a week in seconds?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*r - 12*r - r - 19557*r**3 - 3*r.\nAnswer: -19557*r**3 - 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -1.2, -1, 2, -4, 9\/2, -1\/3, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -51299 divided by -141.\nAnswer: 51299\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0 - -3. Suppose -d*x - 90 = -3*j - 6*x, -126 = -4*j - x. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*v - 15*v - v - 2*v.\nAnswer: -28*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -85.91551*-0.2.\nAnswer: 17.183102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 2, e: 4, u: 2}. Give prob of sequence ll.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = 43471*q**3 - 17988*q - 8994. Let b(l) = 5*l**3 - 2*l - 1. Give -44970*b(d) + 5*m(d).\nAnswer: -7495*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -2*g. Let w(t) = -60*t + 3. Calculate w(q(s)).\nAnswer: 120*s + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -43? (a) 2\/11 (b) 4 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 5*c**3 + 53 - 3*c**2 - 4*c**3 - 43 in the form h*c**2 + l*c**3 + n*c + x and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00002516462 to six decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = 18168.2 - 16137. Let n = o + -186.2. Let v = -1845.000833 + n. Round v to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -146645, -146021, -145397, -144773, -144149, -143525?\n\"Answer: 624*a - 147269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -22 + 44. Suppose 8 = -2*s + 4*w, 0*w = -2*s + 2*w + 2. Calculate the remainder when z is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 970632.6 years to months.\nAnswer: 11647591.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -4 bigger than -230\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 1219*j + 253. Let n be 20\/(-210) + 26555\/(-105). Let q(r) = -29*r - 6. What is n*q(c) - 6*u(c)?\nAnswer: 23*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*j = 14*j - 2*n + 1684, -4*j + 4*n + 3392 = 0. Calculate the remainder when j is divided by 39.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 0*y + 9894 - 4938 - 4949 - 7*y + 47*y**2. Let q(u) = -47*u**2 + 6*u - 6. Calculate 7*q(j) + 6*s(j).\nAnswer: -47*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 198 and 1155?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 293*z**5 + 103*z**2 + 1.\nAnswer: 17580*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8.2*-261.\nAnswer: 2140.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -71, -128, -231, -386, -599?\n\"Answer: -f**3 - 17*f**2 + f - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 19374 - 19377. Sort -7, x, 307, -5 in decreasing order.\nAnswer: 307, x, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 344107020?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 41973 is divided by 99?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(272) + sqrt(272) + -1 + 1)**2 - 3*(sqrt(272) + 2).\nAnswer: -12*sqrt(17) + 1082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -b. Let c(k) = 86*k**2 + 12*k + 1. Let u(t) = 255*t**2 + 39*t + 2. Let d(y) = -13*c(y) + 4*u(y). Give d(m(z)).\nAnswer: -98*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3 - -3.3. Let u = 1697\/10 + -1019\/6. Let d = -2.04 - 0.06. Which is the closest to 0? (a) q (b) u (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -0.4, 0.5, 1, -9\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 794.1 + -848. What is i rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2712 + 2707. Let y(j) = 6*j**2 - 13*j - 30. Let v(h) = 4*h**2 - 9*h - 20. Calculate b*y(p) + 7*v(p).\nAnswer: -2*p**2 + 2*p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = 11586 - 9951. Which is greater: v or 8174\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 63.791 and -0.77.\nAnswer: -49.11907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from tntnztj. Give prob of picking 3 t and 1 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 1050.49 minutes?\nAnswer: 63029400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6141 is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.8 - 9.2. Let l = z + 10. Is -0.1 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 9*y**3 - 526*y - 14783*y**2 + 9*y**3 + 14782*y**2 - y**3 wrt y?\nAnswer: 102*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 45.9 + -46. What is the nearest to 1\/4 in -2, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -l**3 - 5*l**2 - 4*l + 5. What is the smallest common multiple of t(-4) and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -5798*o**2 + 129*o**2 + 1465 + 2*o - 2*o wrt o.\nAnswer: -11338*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 33708, 33710, 33714, 33720, 33728, 33738, 33750?\nAnswer: 33764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 9907 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2*(-9)\/(-6)*5\/(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00334828 rounded to five dps?\nAnswer: -0.00335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.0557 and -1.\nAnswer: -0.9443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(1 + 3 + sqrt(720) + sqrt(720)).\nAnswer: 4 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (-63)\/14*(-696)\/(-87)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 21, 1\/5, -5, 15\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -11090, -22151, -33186, -44183, -55130?\n\"Answer: 2*g**3 + g**2 - 11078*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 7, h: 4}. What is prob of picking 1 r and 2 h?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = x**2 - 2*x + 12. Calculate f(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r be (4 - 13\/4) + (-1)\/1. What is the nearest to r in 0.3, 4, -236?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19416.\nAnswer: 2, 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 1, i: 4, w: 5, d: 5}. Give prob of sequence wid.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xww when three letters picked without replacement from xbxwwlxlbbbbbbbbl.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 1\/35, 1\/104 in increasing order.\nAnswer: -5, 1\/104, 1\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g be 333\/63 - (-2)\/(-7). Solve -5*q + 2*r - 3*r + 28 = 0, g*q + 5*r - 40 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 2*v. Let j be a(1). Find the third derivative of -50*d - 5*d**4 + 9*d**j + 50*d wrt d.\nAnswer: -120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (151 + 396 - 54)*(2*f - 3*f + 0*f)*(2 + 2 - 2)*(2*f**2 - f**2 + 0*f**2).\nAnswer: -986*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -k + 6 + 2. Let w = 19 - 13. Calculate the lowest common multiple of k and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2773?\nAnswer: 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 4\/5, 2\/7, 0, 30 in increasing order.\nAnswer: 0, 2\/7, 4\/5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 3 + 1)*(-2*c + 2*c**3 + 2*c)*(c - 3 + 3) + (-2*c**3 - 3*c**3 + 4*c**3)*(63 - 63 - c) to the form d*c**3 + i*c**4 + v + o*c + m*c**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert -130552 (base 8) to base 10.\nAnswer: -45418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 2*i**2 - 2089*i - 238884. Give z(-104).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) be the second derivative of -p**4\/12 - 499*p**3\/6 - 249*p**2 + 2*p - 171. Factor w(q).\nAnswer: -(q + 1)*(q + 498)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1596022.\nAnswer: 2, 859, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from hrlmhqlm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -111000 + 1221001?\nAnswer: 1110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -16.1803445 rounded to zero dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 132 and 967706652.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 49 (b) -2\/15 (c) -4 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, t: 1, o: 1, r: 1, z: 1, y: 1}. What is prob of sequence yz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is ((-10)\/(-75))\/(1\/(-6))*-1255 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = x - 2, -14*x + 11*x = 5*g + 10. Let l(r) be the second derivative of 1\/36*r**4 + x - 4*r + 1\/9*r**3 + 1\/6*r**2. Factor l(j).\nAnswer: (j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 146084 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l, 1 o, and 2 h when four letters picked without replacement from {o: 1, c: 5, x: 4, h: 4, e: 3, l: 1}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -292 + 0?\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = 108 - 37. Let a = -63 + z. Calculate the remainder when 31 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eleven quarters of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 72*z**2 + 4*z. Let g(u) = -6*u. Give n(g(l)).\nAnswer: 2592*l**2 - 24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o be (55\/150*12)\/((-6)\/(-15) - -2). Let a(j) be the first derivative of -33 - 1\/8*j**4 - 18*j + o*j**3 - 6*j**2. Solve a(m) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/4, -41570, 3\/4, 4, 0.3 in descending order.\nAnswer: 4, 3\/4, 0.3, 1\/4, -41570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 493057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -17, -26, -37, -50?\n\"Answer: -i**2 - 6*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.31 and 4338.\nAnswer: 4338.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 29\/2 of a micrometer in nanometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 4*d**3 + 5*d**2 - 4*d. Let w be s(1). Solve 25 = -w*f + v, f - 3*v + 15 = -2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -271 in 1\/2, -0.04, 0.11?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -h + 2. Suppose q = h*q. Solve q = k - 2*v - 10, -2 - 12 = -3*k + 2*v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/(-8) - 4825809\/(-64024)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w**3 + 4*w**2 - 7*w - 5. Let m be u(-5). Suppose 0 = 5*v - 5*z - 25, -2*z = -4*v + m*v + 4. Factor -j**4 - 2*j**2 + 3*j**4 + 2*j**3 + 0*j - v*j.\nAnswer: 2*j*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = t**3 - 7*t**2 + 6*t - 8. Let w be l(7). Suppose -8 = a - w. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*m**4 - 1964*m**3 - 17*m**2 + 4135*m + 35 wrt m.\nAnswer: -24*m**2 - 11784*m - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 7*b + 0*b = 9939. Is b bigger than 3313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5262782 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -17*u - 3815. What is o(-148)?\nAnswer: -1299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*x + 3*j + 3, -2648*x - 2 = -1322*x - 1328*x + 2*j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3852*z**6 - z**5 - 5*z**4 + 252496*z**2 wrt z.\nAnswer: 462240*z**3 - 60*z**2 - 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 2*u**2 + 2*u - 2. Suppose 0 = 2*m + 4. Calculate i(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -4*a**3 - a**2 + 2*a - 3. Calculate b(2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 5287994093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -d**2 + 7*d - 2. Let f(w) = -w + 6. Let i be f(4). Let m = 4 + i. What is the units digit of u(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13 - (31 + (-51 - -18))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 636791 and 655.\nAnswer: 3183955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -0.5, 2\/11, 0.1, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 515 is divided by 254?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 4, z: 2}. Give prob of sequence qqqz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-1548)\/(-344) - 430\/60?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 20*a**2 + 3*a - 11*a**2 + 18*a**2 as d + b*a**2 + o*a and give b.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -480 + 230?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*h**2\/13 + 205744*h\/13 - 5291324192\/13.\nAnswer: -2*(h - 51436)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-2)\/(-18)*3)\/(-1). What is the closest to p in 5, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*l - 269 + 293. Let v be 2\/l - (-442)\/204. Solve 0 = v*a - 4*a + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 7 or -2600?\nAnswer: -2600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 160 - 105. Suppose -5*y + 4*y = -p. Let c = -38 + y. What are the prime factors of c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nzzzzzzzzzzz. What is prob of sequence zzzn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1241404?\nAnswer: 2, 503, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -3*v + 20. Let w be k(8). Let l(f) = -f - 2. Let t be l(w). Suppose -2*m = -g - 5, 5*g - g = -3*m - 9. Solve r - 5 = 0, 2*b - 5 = -t*r - m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of x**4 + 181*x**3 - 3*x**2 - 543*x + 31257981?\nAnswer: 4*x**3 + 543*x**2 - 6*x - 543","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*o = -2*g - 4*o - 55, -1178*g + 1181*g - o = 19 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -12500600.705 minus -0.4?\nAnswer: -12500600.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -321167.4 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b, 1 d, and 1 l when three letters picked without replacement from {d: 1, j: 1, b: 1, l: 1, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00024908429 to seven decimal places.\nAnswer: 0.0002491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -4*z**3 + z**2. Let a be r(-1). Is 2 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*v + 632 = -5*v. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 4*n + 33385 = -40109, 2*n + 73496 = 2*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*l + 3*l - 2*l)*(-1 - 5 + 2) + (-2 + 2 + l)*(-3 + 1 - 1).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 339772 is divided by 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*z - 40991 + 40929 = -14*p, -4*p = 3*z - 26 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:44 PM and 4:44 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 3, -7, -6 in descending order.\nAnswer: 3, 1, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -o**3 + o**2 + 3. Let s(f) = -3*f**3 + 2*f**2 - f + 7. Determine 4*s(r) - 10*y(r).\nAnswer: -2*r**3 - 2*r**2 - 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12479 divided by -16467.\nAnswer: -12479\/16467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Add 1200.954055 and -30.9227.\nAnswer: 1170.031355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -18, -32110, 263 in decreasing order.\nAnswer: 263, -18, -32110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:43 AM and 5:08 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y + 2 = y. Factor 0*q**2 - y*q**2 - 24*q**3 + 8*q**2 + 6*q**2 - 15*q**4.\nAnswer: -3*q**2*(q + 2)*(5*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -t**3 + 11*t**2 - 33*t - 7. Determine s(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 62312015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -132804 divided by -372.\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 20 (base 4) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p*p*p**(2\/55))\/(p\/(p\/p**(4\/11))))\/(p**(-19)*p*p)**(7\/5) assuming p is positive.\nAnswer: p**(1456\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 305 times -216?\nAnswer: -65880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r - 3*s - 17 = -0*s, -5*r - 5*s = 65. Let u = r - -15. Put u, -3, 5 in decreasing order.\nAnswer: 5, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x + 14 = 3*a, 21*a - 50 = 17*x - 38*x + 19*x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*y**3 + 918*y**2 + 9405*y + 23700.\nAnswer: -3*(y - 316)*(y + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 66973800 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ezo when three letters picked without replacement from {o: 1, f: 5, i: 3, c: 2, z: 1, e: 1}?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.5, -3, -2\/59, 32, 4, 0.1, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/d**(-15))**21 assuming d is positive.\nAnswer: d**336","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = -59 + 82. Let w(r) = r**3 - 13*r**2 + 11*r + 15. Let n be w(12). Solve -n = 4*h - v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 3*w**2. Let b be -1 + 2 - 2*-1. Let i(a) = -8*a - 5. Let x(q) = 4*q + 3. Let h(p) = b*i(p) + 5*x(p). What is d(h(s))?\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -1182 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 771 = 247*y - 21953. What is the remainder when 1100 is divided by y?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -15*m + 328 - 403 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 4*g - 6. Suppose -7*z + 30 = -z. Let d(s) = -3*s + 5. Let a(v) = z*r(v) + 6*d(v). Let c(h) = -14*h. What is a(c(n))?\nAnswer: -28*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bub when three letters picked without replacement from {b: 7, u: 4}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 266448*o**3*u**2 - 22*u**2 + 19*u - 14 wrt o?\nAnswer: 799344*o**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*p + 4*z = 8, 7*z - 3*z = 14*z - 50 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 2*i**3 - 16*i**2 + 71*i - 236. Give f(6).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 72 + -48. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(1\/2)\/v**(7\/3)*((v\/v**(-2))\/v)**(-2\/17)*(v*v\/(v\/v**(-1\/4)))**(-46)*((v\/v**0)\/v)\/v*v**(-1)\/v*v assuming v is positive.\nAnswer: v**(-1967\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*a - a + 6. Let g be (2 - 1)\/(1\/42). Calculate the highest common factor of g and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -805248*d + 3220951. Determine w(4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 2, u: 2, c: 1, x: 2, s: 1, f: 1}. Give prob of sequence su.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**(1\/11)*(j*j*j*j**(-2\/23))\/j*j*j*(j\/j**(-4))\/j*j**(-1\/2)*(j**(1\/2))**(-22)\/((j*(j**8*j)\/j*j)\/j*j**(-2\/5)\/j) assuming j is positive.\nAnswer: j**(-28073\/2530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 291408840 divided by -9\nAnswer: -32378760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -10 by -4.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = 13 - 8. Suppose 4*w + 3 = t*w. Suppose 4*r = -0*r. Put 5, r, w in ascending order.\nAnswer: r, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1.2678 in 3\/4, -2\/19, -2\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.4 (b) 4\/5 (c) 1 (d) 5 (e) -19071\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 289472397?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 181713 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 42 and 672.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-15)\/(v\/v**(-8)))\/(v\/((v**(-7)*v)\/v)*v*(v**(4\/11)\/v)\/v*v) assuming v is positive.\nAnswer: v**(-356\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (v - 4*v - v)*(987 + 701 - 1348).\nAnswer: -1360*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -1308 (base 9) to base 4\nAnswer: -33110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0453829 milligrams in grams?\nAnswer: 0.0000453829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 107\/244556 and -109\/395052.\nAnswer: 5135676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -700*s + 85*s = 3782 + 1753 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*h**2 - 4*h**2 + 4*h**2)*(4*h - h + 0*h) + 0*h**3 + 4*h**3 - 2*h**3.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -14*h + 3. Let c(j) = -7*j + 1. Calculate -15*c(b) + 6*k(b).\nAnswer: 21*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 2280 divided by -6\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the third derivative of 0*y - 5\/24*y**4 + 1\/12*y**5 + 1\/6*y**3 - 7*y**2 + 1\/120*y**6 + 0. Calculate w(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j + 50 = -3*o + 51, -13 = -4*j + o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1\/6, -0.2345, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 1 + 1)*(2*q**3 + 4 - 4) + 38*q - 20*q - 484*q**3 - 18*q - 617*q**3.\nAnswer: -1107*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find q such that -2*q**2\/11 - 2336*q\/11 = 0.\nAnswer: -1168, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w be -1 + 0\/(-2) - 0. Let g be 2 + w\/1 + 4. Solve g*u - p = 2*p - 3, 0 = -u - 3*p + 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 2*i + 44 = 0, 0*a + a - 4*i = 31. Suppose -1 - a = -4*g. Suppose g*p = 20, 3*p = -5*v + 36 + 81. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -6*v - 13. Suppose 0 = h + 2*x + 2 + 2, -2*h = 2*x + 4. Let w be (-1)\/(-1) + -14 + h. Is s(w) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of d**3*k - 2*d**2*g*k - 2273*d**2 - 68*d*g*k - d*g - d*k + 6*g*k - 1 wrt d?\nAnswer: 6*d*k - 4*g*k - 4546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in -321, -5, 897\/25?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4307445 + -6087445. Round j to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -5*d - 7. What is t(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*z + 6*z - 397 + 46 = 59 for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) be the second derivative of -829*v**5\/5 - 2023*v**4\/6 + 14638*v. Find the third derivative of m(h) wrt h.\nAnswer: -19896","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w + 17 = q, q + 0*q - 3*w + 13 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2\/(-12)*(-18)\/(-4). Sort -0.3, 3, t in decreasing order.\nAnswer: 3, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-12)\/(-4))\/(18\/5)*(2048\/240)\/16?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -14*u**3 + 6 + 17*u**3 + 0*u - 1 + u as t + f*u**2 + j*u + l*u**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) -1\/3 (b) 24\/7 (c) 0 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -639, -636, -631, -624, -615, -604, -591?\n\"Answer: i**2 - 640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - (-9 + 2 + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1227 = 31*v - 230. Let n = -13 - -18. Calculate the remainder when v is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -11 and -56.\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(2299)*1 - sqrt(2299)) - 6*2*sqrt(2299) - (-5 + -1 + sqrt(2299) + 0))**2.\nAnswer: -1716*sqrt(19) + 388567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2488531 and 597011?\nAnswer: 5911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose f + 16 = 5*f. Suppose -4*o = -6 - 6. Solve 2*p - f*p + 3 = -3*u, 0 = 4*p - o*u - 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 382518097?\nAnswer: 13, 157, 187417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 975834 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -250, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 137*l - 52*f - 244 = 133*l, f - 3 = 3*l - l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10*a*u**2 - 2*a*u - 32*a + 924*u**2 + u + 34 wrt u?\nAnswer: -20*a + 1848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 5*t - 0*t. Let o be t\/((-2)\/(-6)) + 261\/81. What is the nearest to 2\/3 in o, -4\/7, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + 33 + 7 = 2*d, 0 = -4*d + 20. Let l(v) = -v**2 - v. Let u be l(0). Put u, n, 2 in descending order.\nAnswer: 2, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the first derivative of p**2\/2 + p + 65. Let q be c(1). Solve -q*a = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 44 = -3*t - 2*n, 0 = 4*t + 2*n - 82. What is the least common multiple of 4 and t?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -100 = 5*i - 8*x, 4*x + 64 = 2*i + 116 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -747 - -690. Let j = w + 99. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.6 and -3559.268.\nAnswer: -2135.5608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 472, 895, 1314, 1729, 2140, 2547, 2950?\nAnswer: 3349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -31*m + 203. Give x(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 41.5 + 91.9. Let b = 3.49 + -153.49. Let q = u + b. What is q rounded to 0 decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of d**2*p + 44*d**2*q**2 + 6*d*q**2 + 1130*p*q**2 - q wrt d?\nAnswer: 2*d*p + 88*d*q**2 + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 15 = 0, -428 = -4*c + 17*i - 21*i. What is the remainder when 423 is divided by c?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 109*j**2*k - 243*j**2*y**2 - j*k*y**2 + 4*k*y**2 + 35761*k wrt j?\nAnswer: 218*j*k - 486*j*y**2 - k*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*w + 3*w + 2*w)*(-7*w + 11*w + 17*w) to f + j*w + x*w**2 and give x.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 93 a factor of 24459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 10, -50, -3 in decreasing order.\nAnswer: 10, -2, -3, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 2, a: 2, s: 2, k: 1, h: 1}. What is prob of picking 2 p and 1 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2)\/14 + (-5 - (-180)\/35). Suppose 5*g - 886 = -3*d, r = -5*d + 2*d + g + 874. What is the remainder when d is divided by 79?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = 19*y**2 + 1168*y + 4686. Calculate the remainder when w(-4) is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000764262 to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = 18 - 7. Suppose 10*d = r*d - 25. Suppose 16 = 5*c - 2*c + 5*m, 5*c - 5*m = 40. Calculate the remainder when d is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -61, 0, -19, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ttthttthttvnv. What is prob of picking 1 v and 1 n?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d be 5\/2 + 1\/2. Let m(g) = -3*g**2 - 85*g - 92. Let i be m(-27). Solve -r + i = d*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = 5*g - 12, -2*b + 7*b + 14 = 2*g. Let i be g\/(6\/3)*0. Solve 0*m = 4*m - 20, 3*q - 3*m + 9 = i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 59 minutes after 2:22 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -44 - 1604?\nAnswer: -1651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -5*g**2 + g**2 - 2 - g**3 + 2*g**3. Let d(p) = -4*p**3 - p**2 + 1. Let y be d(-1). Determine s(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5? (a) 4 (b) -5\/2 (c) 1\/21 (d) -21.9 (e) -21.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -2\/17, -2, 1, 6\/1493 in increasing order.\nAnswer: -4, -2, -2\/17, 6\/1493, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let -a**4\/2 + 3*a**3 - 6*a**2 + 4*a = 0. What is a?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1 - -3)*6\/(-4). Let u(o) = -o**3 + o**2 - o + 5. Let k be u(0). Let x = k + y. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1683*x**6 - 113*x**2 + 33*x wrt x?\nAnswer: -201960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2085, 2078, 2065, 2046, 2021?\nAnswer: 1990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0 - 0. Let t = 2.97026 - -0.02974. Let q = -123\/200 - -6\/25. Which is the closest to y? (a) t (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) be the first derivative of 10*r**3\/3 + 8*r + 11. What is the derivative of n(s) wrt s?\nAnswer: 20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnwvvlpnnwwvdv. What is prob of picking 1 p and 1 w?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 40068*p - 52467 wrt p.\nAnswer: 40068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -v**2 + 6*v**2 - 4*v - 4*v**2 - 6*v + 10. Let k be i(9). Let t be 3\/12 - (-198)\/(-840). Which is bigger: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (0 + 1)\/(1\/(-4)). Let s = -89\/42 + 11\/6. What is the second smallest value in u, -8, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 177 or 630?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 2*u**2. Let g(r) = -4*r + 151 + 5*r - 178. Calculate z(g(k)).\nAnswer: 2*k**2 - 108*k + 1458","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 5*j**2 + 105*j - 211. Let c be x(2). What is the greatest common factor of c and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 319 divide 3115220977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -23213 divided by 139\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 3 divided by -64\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 217 minutes after 10:36 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -1256200 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2367946?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39 + 32 = d. Sort d, 5, -1 in decreasing order.\nAnswer: 5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 86.17805 days?\nAnswer: 2068.2732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve h = 4*l - l + 6, 5*h = 2*l + 17 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 408 divide 166036416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of i**4 - 13943153*i**3 + 9760797*i**2 wrt i.\nAnswer: 24*i - 83658918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -1342*n + 1345*n + 5*b - 2, -5*b = -5*n - 50 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Product of -3 and -221.\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -b**2 - 6*b + 16. What is t(-11)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 5*i + 8. Let f be k(20). Are f and 108 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -3, 3, -2, -87, -60 in increasing order.\nAnswer: -87, -60, -3, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 6823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 3.445 (b) -7 (c) 2\/5 (d) 0.3 (e) 5 (f) -2\/9 (g) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 839492.2 grams to tonnes.\nAnswer: 0.8394922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 1.079081ml?\nAnswer: 0.001079081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bkkbbqkbkbqbkbbb. What is prob of picking 1 b, 1 q, and 2 k?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = -9764.2 - -9871. Which is the third smallest value? (a) 2\/9 (b) w (c) 4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-66)\/3)\/(-35 + 37). Sort c, 8, -14 in descending order.\nAnswer: 8, c, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/19 in -5, 5, -4\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = y**3 + 11*y**2 + 7*y + 4. Let a be m(-10). Let i = a - 168\/5. Let o = 1 - 2. Is o smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*a**2 + 2*a**2 - a**3)*(3 + 0 - 6)*(2*a - 2*a - a).\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1258\/7 - 180. Let d = 1\/21 - z. Let -d*s + 0 - 1\/3*s**2 = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v**5\/7 + 2333*v**4\/7 - 485150*v**3\/7 + 26549346*v**2\/7 - 230276835*v\/7 + 546833025\/7 = 0. Calculate v.\nAnswer: -2529, 5, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -9*h**4 - 6*h**3 + 10*h**2 + 6*h. Let k(d) = -d**4 + 6*d + 0*d**3 - 7*d + d**3. Let b(i) = 6*k(i) + y(i). Find the third derivative of b(n) wrt n.\nAnswer: -360*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-1))**(-3\/34)*(o*o**(-4))\/o**(-2)*o**2*o\/(o\/(o\/(o*o\/((o\/o**4)\/o))))*o**(-2)*o*(o**(-2\/5)*o)\/o assuming o is positive.\nAnswer: o**(-903\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 5*v - 2088 = -2121, x - 5*v = 13. Calculate the remainder when 139 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 56954603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -16564 = -2040*w + 18116 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 2*m + 491. Let t(w) = -2*w**2 - 60*w + 282. What is the smallest common multiple of t(-34) and q(0)?\nAnswer: 4910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.63 * 12.\nAnswer: 7.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -n**3 - 3*n**2 + 14*n + 19. Is a(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 18 - 58. Calculate the common denominator of ((-246)\/a)\/(48\/40) and (1\/5)\/(2\/(-126)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 4*y - 2438 = 0. Suppose -2719 = -2*q + y. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 2*h = -4, 14 = -4*b - 4*h + 2*h. Let p = -55\/3 + 379\/21. What is the nearest to 0 in -25, p, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + -8 - (25 - -44) - (4 - (5 + -6))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*q + 15 = -3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -1391076 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-140)\/7 + 0 - -6. Let q(l) = -48*l - 111. What is the tens digit of q(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(170) + -3*sqrt(170)*-2 + 3*(sqrt(170)*-1 + sqrt(170)))\/(-1*(sqrt(1000) + 5*-1*sqrt(1000) + sqrt(1000))).\nAnswer: 7*sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(192)*-3*2 + sqrt(192) - (2 + 3*sqrt(192))) + -3)*-5.\nAnswer: 45 + 960*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 0*r + 30 = 0. Suppose 2*s - 4 = r. Suppose -6 + 41 = s*a. Round a to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 537636 and 24?\nAnswer: 1075272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 1 * -10.232\nAnswer: -10.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -5 - -308?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 8.6122 and 27?\nAnswer: 18.3878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express 53*a**2 - 113*a**2 - 2*a + 66*a**2 - 84 + 220 as h + k*a**2 + w*a and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 775.1545 decades?\nAnswer: 93018.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -175*c + 9004 = 3375 - 3821 for c.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -12102022 (base 3) to base 8.\nAnswer: -7556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3357 and 11.\nAnswer: 36927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1 (b) 43 (c) 1\/3 (d) -1550 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lzzuxxxzxxlzxlxuzxz. Give prob of sequence uz.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-11)\/((-44)\/20) + 0. Which is the second smallest value? (a) -18\/35 (b) i (c) -4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve d + 7 - 4 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2.4 + -11.6. Let i = 9.02 + -0.02. Let r = n + i. Sort r, 1\/5, -4.\nAnswer: r, -4, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 515 or 4628\/9?\nAnswer: 515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -3*l**2 - 4*l**2 + 5*l**2. Suppose 0 = 2*g - 4. Let j(w) = -w - 2 + g*w + 2. Determine j(t(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10930 = 13*v - 11*v - 2*f, -f + 16419 = 3*v. Calculate the remainder when v is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 307423 times 5.1\nAnswer: 1567857.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s = 6*s - 24. Let g(w) = 5*w**2 - 1. Let o be g(-1). Suppose m - o = -s. Which is the second smallest value? (a) -1\/3 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -15*q + 128 + 172. Solve 2*h + 8 = s - 0*s, -s - 5*h - q = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = x**2 - x - 23. Let d be j(8). Suppose -3*h + 2 + 7 = 0. What is the highest common factor of h and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -35\/9021 and 9\/970.\nAnswer: 90210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -17, -19, -15, 1, 35, 93?\n\"Answer: c**3 - 3*c**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 115358501 - -1.62865.\nAnswer: 115358502.62865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 53164?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1d3 (base 14) in base 13?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -c**2 - 2*c + 1. Let o be y(-2). Suppose -o - 3 = -2*a. Solve -2*n - 20 = a*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = x - 9. Let j be o(9). Suppose 0 = -s + 3*h - 8, j = -2*s - h - h + 16. What is the greatest common factor of 8 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 68\/3 or 24?\nAnswer: 68\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = -c - j - 2, -5*j + 110 = -5*c. Let q = 20 + c. Let b be 445\/700 - q\/5. Is b not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 4*o - 7. Give d(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -2102 (base 15) in base 10?\nAnswer: -6977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35 = -86*p + 81*p. Differentiate -3*t + 293 + 7*t**2 + 11*t**3 - p*t**2 - 212 with respect to t.\nAnswer: 33*t**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.06, 0.1, 1\/4, -2412?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}