diff --git "a/data/dm_maths/full_data/10814_11255.jsonl" "b/data/dm_maths/full_data/10814_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10814_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let v(h) be the second derivative of h + 13\/12*h**4 + 0*h**2 - 1\/6*h**3 + 0. What is the least common multiple of 20 and v(-1)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5370 is divided by 1136.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -51*z**2. Let h(m) be the first derivative of 0*m - 15 - 1\/2*m**2. Determine h(b(q)).\nAnswer: 51*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1173 - 36*i + 14*i - 22*i.\nAnswer: -44*i + 1173","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3c2227 + -2?\nAnswer: 3c2225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 28, -27, 4 in ascending order.\nAnswer: -30, -27, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.76, 1, -3 in descending order.\nAnswer: 1, 0.76, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1843 bigger than -1843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*m, 4*m + 139 = s - 1759. Suppose 13*l - s = 6*l. Is l a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186782 is divided by 31019.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356*t + 644 + 780 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4, 3*k - 10 = 3*h - 5*h. Suppose -3*v = -3*r + 6, 0 = 5*v - h*r + 7*r - 40. Is -1 + 26 + (-3)\/v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1909659 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 16. Suppose 0*r = h*r - 8. Solve 0 = -3*c - r*o - 4, -5*c - 14 = -2*c + 4*o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + (sqrt(117) - (sqrt(117) - sqrt(117)*1*-6)))\/(sqrt(63)\/(sqrt(28) - sqrt(7))))**2 - (-1 + -4 + sqrt(325) + -3).\nAnswer: -5*sqrt(13) + 333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**3 - c**3 + 0*c**3 - 8*c**2 - 3*c - 6*c**3 + c**2 + 3*c**2 + (0*c**2 + c**2 + c**2)*(c - c + c) + c**3 + 1 - 1.\nAnswer: -7*c**3 - 4*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -31942 take away -1?\nAnswer: -31941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 490\/13 (b) -0.07836 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*h - 44 = -113*h + 2*q, 47*h = 5*q - 774 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -17*m**4\/24 - 77*m**3\/6 + 186*m**2 + 5*m + 4. Let o(h) = 4*h**2. Determine o(x(y)).\nAnswer: 1156*y**2 + 10472*y + 23716","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n = -13 - 14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032958089 rounded to the nearest 100000?\nAnswer: 1033000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -449*i**3*v - 7111*i**3 + 206*v**2 - 14 wrt v.\nAnswer: -449*i**3 + 412*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, b: 5, o: 8, t: 1}. Give prob of picking 3 b.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35468 and 916.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*p**2 - 2*p**3 + 5*p**3 - 2*p**3.\nAnswer: p**3 - 107*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 2*d + 15. Let f be k(0). Solve 0*c = -n - 5*c - 20, f = 5*n + 2*c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 738317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32159 - -58750. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5430, 5422, 5408, 5388, 5362, 5330?\nAnswer: 5292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 0*i - 1\/60*i**5 - 1\/12*i**4 + 0*i**3 + 1\/30*i**6 + 2*i**2 - 8 + 1\/70*i**7. Solve h(a) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 6:12 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**3 - 3*g**2 - 6*g + 1. Let q(y) = -5*y**3 - 4*y**2 - 7*y + 1. Let x be -3*1\/24 + (-14882)\/(-16). Let p = x - 926. Give p*f(c) - 3*q(c).\nAnswer: -c**3 - 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.351 + 1252173\nAnswer: 1252172.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 19. Suppose -957 = -l*k + 2596. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21133 + -21140. Let u(p) = -p**3 - 9*p**2 + 9*p + 166. What is u(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d**(2\/5))\/d)\/d)**23*(d\/(d**(-2\/7)\/d))\/(d**(2\/19)*d) assuming d is positive.\nAnswer: d**(6903\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4\/5 + 513*x**3\/5 - 9891*x**2\/5 + 67179*x\/5 - 30870.\nAnswer: -3*(x - 150)*(x - 7)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -45, -49, -43, -21, 23, 95?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 - -0.2. Let m = 123.1 + -115. Let l = m - 8. Which is bigger: l or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 217, -1152, -4839, -12002, -23799, -41388?\n\"Answer: -193*g**3 - g**2 - 15*g + 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8 + 12 = 0. Let j(i) = -i - 1. Let o be j(-3). Suppose p = o*w + 48, -65 + 330 = 5*p - 5*w. Calculate the remainder when p is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a + 6 - 6)*(10*a**2 - 4*a + 0*a**2 - 2*a**2).\nAnswer: 48*a**3 - 24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(275)\/sqrt(5))\/(sqrt(5) - 2*sqrt(320)).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a + 60. Let r(v) = 8 + 12 + 0*v + 25*v + 10*v - 36*v. Determine 11*r(i) - 4*y(i).\nAnswer: i - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 424496 and 516?\nAnswer: 1273488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 2:42 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*v - 36*v + t = -34, 5*v + 3*t - 38 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1827 = 104081*y - 104168*y for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -372, 3, 0, 5, -4, -102?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5248735 + 150*g - 5248735.\nAnswer: 150*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -533, -525, -515, -503, -489, -473?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.124408341 - 0.1244. Round w to seven decimal places.\nAnswer: 0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o**2 - 2*o - 8. Let c(s) = -2*s**2 - 1. Let k(q) = 5*c(q) - i(q). Let l(h) = -9*h**2 + 4*h + 7. Give -7*k(u) + 3*l(u).\nAnswer: u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 49701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -47, -116, -213?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p + 29. Let x(q) = -3*q - 24. Let g(m) = -5*r(m) - 4*x(m). Let o(d) be the first derivative of -d**3\/3 + 4. Determine g(o(i)).\nAnswer: 3*i**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1672349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 665038 divided by 407.\nAnswer: 1634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9548 and 6060252.\nAnswer: 42421764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence arw when three letters picked without replacement from {g: 1, a: 1, w: 2, r: 1, c: 1, y: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161, -163, -175, -203, -253, -331, -443?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8272373 a multiple of 495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + c + 36. Let t(h) = 5*h + 6*h**2 - 4*h**2 + 3*h - 5. Let v be t(-6). Solve 5*x = -4*n + v, -2 - c = -5*n - 2*x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 - 64 - 11 - -12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -14. What is the third derivative of 2*l**2 - l**2 - 2*l**2 + 3*l**z wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 683708 by 2.\nAnswer: 341854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 112649 at least 112688?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 696.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -4\/5*p**4 - 4\/5 - 24\/5*p**2 - 16\/5*p**3 - 16\/5*p = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 490729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 548508 and -3921855.\nAnswer: -3373347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(132)\/sqrt(4)*-4)\/(sqrt(176) - sqrt(11)).\nAnswer: -4 - 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m**3 - 12*m**2 - 11*m - 10. Let p(l) = 3*l**3 - 11*l**2 - 11*l - 9. Let n(t) = 4*o(t) - 5*p(t). Factor n(g).\nAnswer: (g + 1)**2*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -11*w**3 - 3*w**2 - 2*w - 4. Let o be t(-3). Let r = o + -1637\/6. Which is the closest to 0.1? (a) -0.1 (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -5)\/((-19)\/95*90\/(-162)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*i + 120*i + 89*i)*(-16*i**4 - 34 + 34).\nAnswer: -2768*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -38*z - 2. Let j(p) = -4*p**2. What is j(v(y))?\nAnswer: -5776*y**2 - 608*y - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-51)\/6 + (-1)\/2. Let n = 19 + g. What is the remainder when (18 - -1)\/(-4 - -5) is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v. Let s(u) = 131469*u. Determine s(z(b)).\nAnswer: 394407*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4463 = -591*a + 2038 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8121 > 105588\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62148\/55 at most 1130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20\/9 - -91\/45. Suppose -b - 1 - 2 = 0. Let n be 2 + b + 2\/3. Is u < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*((-210)\/(-20))\/(-21). Solve -2*a - u + 4 = 11, -22 = m*a - 4*u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -4\/3*q**6 + 0*q**2 + 0*q**4 + 6 - 2\/3*q**3 + 0*q + 0*q**5. Find the third derivative of n(x) wrt x.\nAnswer: -480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 1\/324, 0.4, 2, 0.3, 16, -0.05?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*w - 37*w + 2092 = -1366 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25775216?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 367629795 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-1)*1 + -2. Let f = b - -9. Is (7\/f + -1)*25 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0 = -i - 4, 2 = 2*n + 5*i. What is the lowest common multiple of 19 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233514499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 0. Suppose v - 27 = -v + 3*m, z*v - 48 = -3*m. Suppose 0 = -4*s + 83 - v. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.82249 + 0.17751. Let i = 0.4 + -0.2. What is the biggest value in 3, m, 1, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -3 (b) 0.4 (c) 1 (d) 1\/13 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*y + 360 = 5*l, -146 = -2*l - 3*y. Suppose -4*q - l = -o, 3*q - o + 16 = 2*q. Let m = -13 - q. Which is smaller: m or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710797428 a multiple of 12892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -71565330 divided by -1233885\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 + -42. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a - 298 = -p, -4*a = -3*p - 1171. Let m = a + -167. What is the greatest common divisor of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 263211.75, -1\/2?\nAnswer: 263211.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + 3 - (-1 - -1 - -2720). Let a = t + -1225. Let k = a - -7048. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24630\/24 - (66\/24)\/11 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2745649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31249049.\nAnswer: 13, 2403773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/((-10)\/6) + 1. Let l = j - -5. Suppose l*o - 35985 = 2*b, -b - 2861 = 5*o + 15164. What is b rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**3\/6 - 7*a**2 - 6*a - 6. Let h(c) be the first derivative of x(c). Give h(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f - 77 = -n, -334 = -4*n + 3*f. Let x(h) = -h**2 - h - 6. Let z be x(-5). Let t = z + 55. Calculate the remainder when n is divided by t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132.9 times -0.1799\nAnswer: -23.90871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.148669 rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14660 or 249198\/17?\nAnswer: 249198\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 12) in base 9?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 - 11*l**2 + 2*l**2 - 7*l**2 in the form w*l + o*l**2 + t and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 57, -21156, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -7 + 2 - 9) + 5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b (base 14) to base 3.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26869684 a multiple of 1348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p - 3. Suppose -32 = -3*a + x - 0*x, -2*a + 33 = -3*x. Let k be (-1)\/(1\/(-2))*-2. Let h = k + a. Give r(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4111110310 (base 5) to base 14.\nAnswer: -1161077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*sqrt(112)*1 + (sqrt(112) + sqrt(112)*2)*2) - (1 + sqrt(112) + sqrt(112) + 1)*6*5)**2.\nAnswer: 19200*sqrt(7) + 182800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -392 and -14051.\nAnswer: 5507992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*t + 6*t. Suppose 5*c = 5*b - t, 3*c + 1 + 5 = -4*b. Suppose -3*l - 10 = 5*a, 6*l - 2*l - 5*a - 45 = b. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + y + 3. Let l = 11 - 7. Let b = 7 - l. Let s = b + -3. Calculate k(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -29*m + 1. Suppose 0 = -52*n + 53*n - 12. What is the lowest common multiple of n and b(-1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 3\/7, 0.2, -14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26871281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2 = 10, 328 = 2*o + 2*h. Suppose -r + 0*r + 4*k = -51, 0 = 4*r - 5*k - o. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7260.939us to milliseconds.\nAnswer: 7.260939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-5))\/v**(5\/6))**(1\/35) assuming v is positive.\nAnswer: v**(-23\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -0.62.\nAnswer: 0.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1587140 divided by -158714\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 10 - (6 - 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 6*b - 3. Let f be j(-2). Suppose m + m - 4*g + 14 = 0, -1 = m - f*g. Let w(p) = -p**3 - 11*p**2 - p. Is 5 a factor of w(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -13*u + 3. Let r be l(-7). Suppose 3*y - 289 + r = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z + 8*z + 6 + 0*z. Let b be m(6). Suppose p + 5*a - b = 0, 0 = -p + 5*a - 6*a + 38. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (c - 2*c - 10*c)*(-2*c - 3 + 3)*(-4*c + 4*c - c**2) in the form i*c**3 + b + w*c + j*c**2 + s*c**4 and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -163.14 + -0.03\nAnswer: -163.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/2 + 329889*q\/2.\nAnswer: 3*q*(q + 109963)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 775 rounded to the nearest ten?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/(-1) - (-1 - -2). Suppose c = 3*u - 23. Suppose -22*s + 17*s + 480 = 0. Calculate the greatest common factor of s and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 230*n*p**3 + 157*n*p**2 + 58*n*p + 191130*p**3 - 120*p**2 wrt p.\nAnswer: 1380*n + 1146780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**7\/1680 + g**6\/80 - g**4\/24 + g**3\/3 - 6*g**2 - 4. Let d(q) be the second derivative of z(q). Factor d(y).\nAnswer: -3*y*(y - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**6\/15 + 3*q**5\/5 + 21*q**4\/2 - 40*q**3\/3 - 528*q**2 - 3*q - 584. Factor a(r).\nAnswer: -2*(r - 11)*(r - 3)*(r + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -44*d**2 - 526*d + 2663. Give s(5).\nAnswer: -1067","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5863 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 5, 1686, -13 in descending order.\nAnswer: 1686, 5, 0, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4598117332 + -0.03.\nAnswer: -4598117332.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 366, 756, 1170, 1620, 2118, 2676?\nAnswer: 3306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 235068 by 3093.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23\/15243766 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10090000 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2015*o + 3. Suppose -x - 2 = 3*x + s, 5*x - 1 = -3*s. Is k(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggz when three letters picked without replacement from {z: 3, g: 9}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 47855843 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3 - (-32)\/12) - 41. Let b be (-2)\/(140\/k - -3). Let l(u) = u**2 - 6*u + 1. Let q be l(b). Calculate the greatest common factor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71979417 is divided by 1211.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 14*r**2 - 24*r + 24. Let v be b(-12). Let s = v + 72. Let g = 385\/4 - s. Is 3\/55 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + b**3 - 76*b + 67*b - 12*b**2 + b**4.\nAnswer: b*(b - 3)*(b + 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7527 by -8.\nAnswer: 7527\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + p - 2*p - 4, 0 = 2*p + 2. Let g = 0.089 + -0.489. What is the nearest to v in 4, g, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64\/37 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*u - 4*a - 19, 2*u - 1 = 5*a. What is the remainder when 37 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjrjrrlrjl. What is prob of picking 2 r and 1 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 219*y + 42. Let h(r) = 21*r + 4. Let f(i) = 21*h(i) - 2*t(i). Let p(q) = -2*q - 4*q + 7*q. Calculate f(p(a)).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 l when two letters picked without replacement from {n: 1, a: 6, c: 3, l: 1, v: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23020 + -1321130?\nAnswer: -2010210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7657176 by -6.\nAnswer: -1276196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2 + 0*v + 8 + 6*v - 4*v + 0*v. Let u(d) be the third derivative of -3*d**2 + 1\/6*d**3 + 0 + 0*d. Determine -h(b) + 3*u(b).\nAnswer: -2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62275\/12792 + -48\/533. Calculate the common denominator of d and -85\/2094.\nAnswer: 8376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 23 - (9 - 68) - (5 - 5).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from {q: 4, i: 7, k: 7}.\nAnswer: 49\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a9a99 (base 11) to base 16.\nAnswer: -13a398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*sqrt(4608)*1 + 1.\nAnswer: -288*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 (base 3) in base 5?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 + 2*h**4 - 2*h**2 + 6 - 6 - h - 2*h**2 to i + n*h + f*h**2 + t*h**4 + w*h**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*s + 38*s + 392. Is 11 a factor of -2 - (1 + 0 + s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -695\/94 + 25666\/3055. Find the common denominator of 980\/2912*(-14)\/5 and a.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -13*i**2 - 205. Let m(y) = -6*y**2 - 103. Calculate 9*m(x) - 4*u(x).\nAnswer: -2*x**2 - 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 19\/259 (c) -53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -295.4 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-64)\/80*3\/((-216)\/20))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5781924, -5781854, -5781784, -5781714, -5781644, -5781574?\nAnswer: -5781504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -10148*p**3 - 473*p**2 + 473*p - 473. Let j(m) = 43*m**3 + 2*m**2 - 2*m + 2. Calculate 473*j(s) + 2*q(s).\nAnswer: 43*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f**2 - 5*f - 6. Let k(m) = 3*m**2 - 6*m - 49. Let a(c) = c**2 - 6. Let x(d) = 7*a(d) - k(d). Determine -5*o(n) - 4*x(n).\nAnswer: 9*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddksf. What is prob of sequence kd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*o - n, -n = 4*o + 34 - 24 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4205031 to the nearest integer?\nAnswer: 2051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(5) - (1 + sqrt(5))) + sqrt(45) + sqrt(720))*3)**2.\nAnswer: 1350*sqrt(5) + 10350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwk. Give prob of picking 1 c and 1 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from foffffffofffffffff. What is prob of picking 2 f and 2 o?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1200*y**4 - 2*y**2 + 2281*y. Let f(p) = 2399*p**4 - 5*p**2 + 4562*p. Let j(o) = -2*f(o) + 5*m(o). What is the second derivative of j(w) wrt w?\nAnswer: 14424*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 - 20*w**2 - 13*w + 114.\nAnswer: -(w - 2)*(w + 3)*(w + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 87 - (5 - 16 - 2 - -15 - (3 + -11))\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1877*k**2 - 625*k**2 - 631*k**2 - 623*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 0)*(17 - 3*g - 17 + (-4 + 12 - 12)*(-9*g + 18*g - 7*g)) to the form l*g + s and give l.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 4*z**2 + 15*z - 23. Let s be l(6). List the prime factors of 1393 + 20\/s + -2.\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w - 2. Let y(i) be the third derivative of i**4\/24 + 83*i**2 - i. Calculate -l(k) + 4*y(k).\nAnswer: 6*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d - 3*d + 5*d - 2*d**2)*(-4 + 2 - 6) to the form u*d + k*d**2 + y and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/1 + 42\/21. Let s(b) be the third derivative of 1\/150*b**5 + 0 + 0*b - 1\/15*b**3 + 1\/300*b**6 - 2*b**l - 1\/60*b**4. Suppose s(x) = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*t - 2*n = 29*t - 90*t - 314, 5*t - 3*n + 27 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5541571 and 24045?\nAnswer: 1603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/11))**(-20)\/(l**8*l**6))**43 assuming l is positive.\nAnswer: l**(-4902\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (26 + -20)*2\/4. Is 61444\/84*f + 24\/42 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-8) - (-189)\/36. Let h = 15 + -16.1. Let w = -2.9 + h. Which is the second smallest value? (a) 0.5 (b) y (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3618975 - 0?\nAnswer: -3618975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p**2 + 2*p**2 - 2*p**2 to b + m*p + s*p**2 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 3)*(13 + 12 - 4) - 1 + 5 - 1)*(3*s + 0*s - s)*(4 - 2 - 1).\nAnswer: 90*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -268*g - 18. What is the hundreds digit of d(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12.7, 3\/2, -1\/6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127872 divided by 4.\nAnswer: 31968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -287.2, 4, -128 in descending order.\nAnswer: 4, -4, -128, -287.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -103*d - 2027. What is b(-15)?\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -r + 3*b, 2*r + 4 = -59*b + 58*b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4188 = 8*x + 828. Round x to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 10 = h + 4*n, -5*h = -4*n + 20. Suppose h = 10*k - 6*k - 24. Suppose k*v + v - 6769 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g*l**3 - g*l*p**2 + g*l*p + 4*g*p**2 - 1718*g + 28*l**3*p**2 - p**2 wrt p?\nAnswer: -2*g*l + 8*g + 56*l**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2\/3 - 3769*x\/3 + 41822 = 0. What is x?\nAnswer: -3802, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 83924786*z**3 - 1254138?\nAnswer: 251774358*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 584 - 575. Calculate the remainder when 88 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64.08264l?\nAnswer: 64082.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/570 and 29\/2565?\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - x + 3*x)*(-x**3 - 2*x**3 + 2*x**3) - 89*x + 7*x**4 + 89*x + 88*x**3 + 97*x**4 - 88*x**3.\nAnswer: 103*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -443\/588 + 1\/294. What is the second biggest value in -1\/2, 1\/10, p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -5 - -3 - (-11 - (-13 + 7))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*o + 222*o**2 - 218*o**2 + 102*o.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-42)\/(-35))\/((-2)\/5). Let p = l - -18. What is the remainder when p is divided by (-11)\/44*4 - (-10 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -2*b + i, 29*b + 4*i = 28*b - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 27*i**2 - i - 9. What is the remainder when (-172)\/(-5) + 4\/(-10) is divided by x(-27)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - 2*z**2 + 3*z**2 + 3 + 5*z**3 - 4*z**4 - 4*z**2 - 4*z**3 to the form p*z + r*z**3 + t*z**4 + m*z**2 + l and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14068752 to the power of 1\/2, to the nearest integer?\nAnswer: 3751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/9))**(9\/11)*(m*(m\/(m\/m**(1\/11)*m))\/m*m)**34 assuming m is positive.\nAnswer: m**(30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 7*g + 2. Let i be w(7). Let t(u) = -u**2 - u + 1. Let j(p) = -p**2 - 2*p + 2. Let z(q) = i*j(q) - 4*t(q). Let f(o) = o**2. Give z(f(h)).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 182 + -169. Let o(g) = g**2 + 8*g. What is the units digit of o(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*-1*(-2)\/3. Suppose -4*m - 93 = -z + m, d*m + 156 = 2*z. Suppose 0 = -4*r + z. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - v + 42 + 12 + 13.\nAnswer: -v + 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67397108*l**5 + 1431874*l + 10?\nAnswer: 1347942160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 0*g + g)*((-4*g - 5*g - 6*g)*(6 + 0 - 4) - 4 + 2*g + 4).\nAnswer: -84*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.068 (b) 17\/2 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -837 - -861. What is the lowest common multiple of 132 and c?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/36 and 149\/266214?\nAnswer: 1597284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1358*l**3 - 4632.\nAnswer: 4074*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y + 4*u = -35, 2*y = 4*u + 30. Let z be (-21)\/14*(-2 + (-8)\/12). Suppose -1 = m - 5*v + 4, -z*m + 5 = y*v. Let f(n) = -n + 18. Determine f(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21520837.\nAnswer: 13, 1655449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -11561.8177 to the nearest one hundred.\nAnswer: -11600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3412815\/8 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-295216)\/(-3) - 85\/(-51) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 12. Suppose -3*c = 12, 2*c - 6*c = 2*u + g. Suppose -u*k + 0*k = y + 3, 29 = 5*y - k. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1790 + 1790. Let d(l) be the first derivative of -9 + 11*l - 5\/4*l**4 + y*l**2 + 0*l**3. What is the derivative of d(u) wrt u?\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-2)\/(-4) - 1. Suppose 2*m = -5*p - 0*m + 16, -2*m + 6 = 0. Let k(r) = 3*r**p - 3*r + t*r + 0*r + 2. Determine k(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.6+2930\nAnswer: 2942.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*t - 15207114 = -59*t + 13*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 203047236 divided by -567.\nAnswer: -358108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*y - y = 1546752. Calculate the lowest common multiple of y and 3.\nAnswer: 7296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177871271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 7*o**2 - 8*o + 3. Let a = -2 + 7. Suppose -a*f + 0*h = h + 30, 2*h = -5*f - 30. Is 3 a factor of w(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9 - -3.1. Let n = -11.57 + 6.57. What is the closest to -0.23 in -1, f, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -2*h**2 + 184 + 39 - 67 + 5*h. What is s(-7)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w. Let n(g) = 87*g**2 - 58*g. Let j(x) = x**2 - x. Let f = 39 + 135. Let m(y) = f*j(y) - 3*n(y). Calculate m(b(o)).\nAnswer: -87*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9747483 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 12:12 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 416 and 733928.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 + 3*s - 1. Let p(a) = -5*a**2 - 7*a + 3. Let n(y) = 7*b(y) + 3*p(y). Let k(h) be the first derivative of n(h). Let r(t) = -2*t. Give k(r(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135576 and 1021860?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 11. Suppose 3*k - g - 7 = 0. Solve -4*m + m + k = -2*a, 0 = 4*a - 5*m + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88224 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 9*k**2 - 94*k - 261. Calculate x(-3).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010001100 - 1?\nAnswer: 111010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 13. Let d be a(-13). Round d to the nearest 10.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**3 + p**2 - 2*p. Let n be (-12)\/(20\/5 - 6). Let m(v) = -3*v**3 + v**2 - 2*v. Give n*m(g) - 5*r(g).\nAnswer: -3*g**3 + g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g - 20. Let o be x(-3). Let s(q) = -q**2 - 5*q + 4. Calculate s(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -302 - -872. Suppose 2*x = -4*j - p, 0 = 2*j + 3*x + 472 - 189. Let d = j + 2147\/15. Which is the nearest to 0? (a) 0.5 (b) 4\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c + 18. Suppose -5*w + 15 = -5*n, 7*n + 18 = -w - 75. Calculate a(n).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6 - 4 = 0. Solve q*w + 3 = 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 127*i**3*m - 828738*i**3 + 118033593*i**2*m wrt i.\nAnswer: 762*m - 4972428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-109)\/(-3) - (-1)\/(-3). Suppose 15 + 0 = 3*y. Suppose j - y*j + w = 0. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64998 is divided by 406.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2448.6358 to zero dps.\nAnswer: -2449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*3*15\/(-150)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 30, 2, 6.1, 0.2 in descending order.\nAnswer: 30, 6.1, 2, 0.2, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Express -24 + 15 - x**3 - 16*x + 10 in the form j*x**3 + b*x + d*x**2 + h and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*c - 57*c - 274536 = 0. Which is greater: -2541 or c?\nAnswer: -2541","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15623 and 170.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(14)\/(sqrt(12)\/sqrt(6))).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8573, -9, 19, 4, 0, -1, -3 in ascending order.\nAnswer: -8573, -9, -3, -1, 0, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -954132\/19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 3*h + 16 = 0, -1506*h + 9 = 3*s - 1508*h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 38781408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58574, -58575, -58576, -58577, -58578?\nAnswer: -58579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/42 + 41080\/840 - 18?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (213 + 15)*6\/8. Find the second derivative of -81*u - 69*u + x*u + 127*u**4 wrt u.\nAnswer: 1524*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 20 = -5*y. Suppose 3*v + 10 = 2*i + y*v, 0 = v - 3. Let b(p) = 2*p**2 + i*p + p**3 - 5*p**2 - 2*p**2. Determine b(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27889765 divided by 79\nAnswer: 353035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence si when two letters picked without replacement from {b: 2, s: 4, i: 2, e: 1, q: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 + 49986 - 49986.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -73*r. Calculate u(-1).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2031, -4076, -6159, -8298, -10511?\n\"Answer: -3*k**3 - k**2 - 2021*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.81 + -0.876. What is s rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwqeqqlvqvvaqqllaq. What is prob of sequence el?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1641.56841 seconds in days?\nAnswer: 0.018999634375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13658644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30.1 - -0.1.\nAnswer: 30.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*r**4 + 494*r**3 - 2*r - 991*r**3 + 496*r**3 to v + i*r**2 + c*r + d*r**3 + g*r**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 257\/4, -22, -0.1, -16?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -710 - -720. Solve -s + l = 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*m - 20 = 2*a, -a + 5*m - 19 = 0. Let o = 12 + a. Solve 3*d + o = 5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 685689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 b, and 1 s when three letters picked without replacement from qhrhqsmb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-9)*-6*(-20)\/360.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*z + 12. Suppose -5*b = -0*f + f + 96, z*b = 2*f - 88. What are the prime factors of (-2 - -1)\/(2\/b)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-4)\/(-3))\/(-3 - 88\/(-24)) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0093 and 3.7.\nAnswer: 3.7093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 56830129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**4\/4 - q**2\/2 - 7*q + 13. Let u(o) be the first derivative of i(o). What is u(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**3 - 158*v - 1416. Let p(a) = 2*a. Calculate p(x(k)).\nAnswer: 6*k**2 - 316","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14944 and 94843030.\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2763*3\nAnswer: -8289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*q - 40, -5 + 2 = -2*q - n. Let y be (0 + -1)\/(-1)*0. Suppose h + q*h - 15 = y. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-3))\/(-1*1). Let d = -31 + 31. Which is the closest to 2? (a) d (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - 8*u + 13 - 2 + 7*u - 37*u**3 + 3*u as d*u**2 + o + m*u + f*u**3 and give f.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3293939 divided by 11\nAnswer: 299449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + 2*t - 2. Let l be (-1 - -2 - 1) + -2. Let d be h(l). What is the derivative of -5 - 4*c**3 + d - 2*c**3 wrt c?\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - sqrt(68)*-2 - (sqrt(119)\/(sqrt(35)\/sqrt(5)))**2.\nAnswer: -17 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g - 88. Give c(-8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13597?\nAnswer: 13597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2. Let q = 47 + -50. Let i be (-3)\/(45\/20)*q\/(-2). Let j be z(i). Let w(r) = r**3 + 6*r**2 + 6*r + 2. Determine w(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.02 + -0.21. Let z = 0.8159 - b. What is z rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**3\/6 - u**2 + 2*u. Let w(y) = -y**2 + 3*y - 3. Let n be w(3). Let g be m(n). Which is bigger: g or -6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 23*w - 41. Let z(r) = -17*r + 40. Let h(a) = 4*d(a) + 5*z(a). Determine h(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4375 times -0.1?\nAnswer: -437.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 31*c**2 + 56*c + 1477. Calculate n(34).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -11. What is the third derivative of -m**2 + 3*m**2 - m**2 - z*m**6 wrt m?\nAnswer: -480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (0 + 1) - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/205 and 1\/369.\nAnswer: 1845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 811 divided by 2?\nAnswer: 811\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -0*s - 36. Let l be (3\/2)\/(s\/(-12)). Suppose 5 = -l*a + 29. Solve 0*t = 3*t + a for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eo when two letters picked without replacement from {f: 4, e: 6, o: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1445 + -48071.357?\nAnswer: -49516.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 4*l + 3. Let h be j(-2). Let s = -315 + 316. Which is the closest to -1? (a) 3 (b) h (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 0)*(0 + 2 + 1) + 0 + 0 + 2)*(861 + 136*t - 861).\nAnswer: 680*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**3 + 20*l**2 + l + 225. Calculate o(-12).\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7924 rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/(x*x\/x**(2\/25)))\/(x\/(x\/(x\/(x\/x**(9\/7)))))*x**0\/x**(13\/2) assuming x is positive.\nAnswer: x**(-2347\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((5 + -2 + sqrt(5) - (sqrt(80)*-3 + sqrt(80)))*-2)**2.\nAnswer: 432*sqrt(5) + 3312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*q**6 - 78*q + 78*q - 7*q**2 wrt q?\nAnswer: -1440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m + 2*m - 4*m. Let o(t) be the first derivative of -t**2 + 4 + 1 - 7. What is o(h(j))?\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -738313 - 11576*n**2 + 369154 + 369159 to l + x*n**2 + i*n and give x.\nAnswer: -11576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 8*w. Calculate r(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*z**2 - 5*z + z - 104 + 4*z + 94 as a + y*z + f*z**2 and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 246821*b + 101090?\nAnswer: 246821","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (3 - 4) + (9 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 - -0.1. Let i = o - -0.7. Is i not equal to -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90814 - -90818. Factor 64\/15*i**2 + 0 + 32\/15*i + 16\/15*i**s + 16\/5*i**3 + 2\/15*i**5.\nAnswer: 2*i*(i + 2)**4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 25*j**3 - 3*j**2 - 5*j - 5. Let a(c) = 22*c**3 - 3*c**2 - 4*c - 4. What is 7*a(t) - 6*d(t)?\nAnswer: 4*t**3 - 3*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 8:09 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*j + 23 = 0, 0*s - 3*s + 5*j + 34 = 0. Does 16 divide ((-32)\/6)\/(s\/(-27))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 9684.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 715*m - 3104. What is d(5)?\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/4 and (694*(-4)\/(-620))\/((-408)\/(-85)) + -1?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, s: 2, j: 2, y: 1, b: 1}. Give prob of sequence yj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -17 and -226.\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, y: 2, f: 1, k: 2, j: 2}. What is prob of sequence yftj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - (50\/425 + (-2792)\/34). Let i be 374\/o + 2\/(-8) + 2. Suppose 4*c - 133 - 59 = 0. What is the greatest common factor of c and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 2976*p + 72525.\nAnswer: 3*(p + 25)*(p + 967)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/((-16)\/24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*b + 1 - 3 + 3*b)*((-b**3 + 4*b**3 - b**3)*(0*b - 4*b + 2*b) - 4 + 4 - 2*b**4 + 2*b**4 - b**4 - 5*b**4).\nAnswer: 510*b**5 + 20*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381676902?\nAnswer: 2, 3, 19, 3348043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i = -140 + 25. What is the remainder when 13762\/84 - i\/(-30) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**3 + 60*j**2 + 6*j - 31. What is the remainder when n(20) is divided by 1*(14\/4)\/(2\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50238 divided by 8373.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**2 - 2*c**3 - 34*c**3 - 6*c**3 - 5*c**3 - 53*c**3 to i*c + f + a*c**3 + t*c**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 10, 5*b + 5*y - y - 230 = 0. Let o be 150\/14 + 12\/b. Let x = -207 - -295. Calculate the highest common divisor of o and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198374438 to the power of 1\/2, to the nearest integer?\nAnswer: 14085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d + 6. Let k = 60171 - 60166. Let j(f) = -f - 3. Suppose 0 = -6*m + 2*m + 8. What is k*j(i) + m*s(i)?\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11309 and 1462.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 16*j**2 - 14*j + 26. Let t be c(-15). Suppose -t*u = -7*u. Let g be (4 - 1)*(-1)\/(-1 - u). Solve -2*q + 6 = 2*f - 2, g*q + f = 14 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -6.615201571?\nAnswer: -7.615201571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -6. Let d(y) = y**2 - 11*y + 5. Let k be d(9). Let c(g) = -41*g**2 + 13*g + 2. Let u(o) = 20*o**2 - 6*o - 1. Let n(a) = k*u(a) - 6*c(a). Give n(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.09 and 0.1079.\nAnswer: 0.1979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-21))\/((-22)\/18).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*s - 87*s + 14 = 4*f, 3*f - 28 = 5*s. Solve -4*z + 12*q - 2 = 15*q, -4*z = -q - f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6098 + -6102. Let i(j) = j**3 + 3*j + 5. Give i(l).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-60)*55\/99)\/(3\/(-18))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 513 or 514?\nAnswer: 514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195920*k**3 + 43126*k**3 - 40100*k**3.\nAnswer: 198946*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/77)\/((-40)\/(-88))?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Let l = -3.13 - -4.03. Which is the nearest to l? (a) -0.5 (b) -0.3 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 18 + 9 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qfqqqaaaqqfeqafae. Give prob of picking 2 a, 1 q, and 1 e.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 8:53 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g**2 + 6*g**2 + 9*g**2)*(430*g - 6 + 6 + 322*g - 176*g) to the form k + v*g**2 + n*g**3 + q*g and give n.\nAnswer: 8640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 0 + 2 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 11*p**2 - 5*p - 2. Let k(n) = 8*n**2 - 4*n - 2. Let x(h) = -7*h**2 + 2*h + 1. Let u(l) = 2*k(l) + 3*x(l). Give 2*c(w) - 5*u(w).\nAnswer: 2*w**3 + 3*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10002210221120 (base 3) to base 12\nAnswer: 676820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3088845 - -2150145. What is l rounded to the nearest ten thousand?\nAnswer: -940000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*c**4*g*s - 458*c**3*s + 2*c**2*g*s + 63*g wrt c?\nAnswer: 648*c*g*s - 2748*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, d: 1, u: 2, o: 2, i: 8, c: 2}. Give prob of picking 1 o and 1 u.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*j - 7 = -4*j, 4*u = -2*j + 12. Let b be (-204)\/(-24) - (-5)\/(-2). Solve -u*d = b + 19 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2044.913 + -2050. Round a to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 12*j - 15. Let s be o(1). Let q be s*((-87)\/(-29) + 10\/(-3)). Sort 12, q, -1 in increasing order.\nAnswer: -1, q, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256269784 to the power of 1\/2, to the nearest integer?\nAnswer: 35444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -40.59*5216\nAnswer: -211717.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 38.9654 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -561 + 610. Suppose 0 = -u*s + 55*s + 24. Let l(g) = 2*g**2 + 3*g - 16. Calculate l(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34093.22ug in kilograms?\nAnswer: 0.00003409322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 1. Let p(g) = 5*g**2 - 2*g + 4. Let o(j) = j**3 - 32*j**2 - 2*j + 66. Let s be o(32). Calculate s*w(v) + p(v).\nAnswer: 5*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -11*p + 1. What is the lowest common multiple of n(-3) and 18?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 4*l**2 - 6*l + 9. Determine j(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-4)*12\/6. Let i be ((-1)\/b)\/((-8)\/(-96)). Solve i*d = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*w**5*x + 20*w**3*x - 2*w**2*x + 9*w**2 + 2*w*x wrt w.\nAnswer: -240*w**2*x + 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jeimr. Give prob of picking 1 e and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1249437 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*x**2 - 10*x - 124*x**2 + 2*x + 3*x to the form g + k*x**2 + j*x and give k.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76*k**2 + 267*k**2 - 121*k**5 + 173*k**2 wrt k?\nAnswer: -7260*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87047.87s to nanoseconds.\nAnswer: 87047870000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k - 3*k - 15 = -5*k + p, 0*p + 3 = p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 203*j - 2575. Give r(9).\nAnswer: -748","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6593, -6655, -6825, -7157, -7705, -8523, -9665?\n\"Answer: -9*v**3 + v - 6585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igvovgvgoiovvoo. What is prob of picking 1 o and 1 i?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1562761.995621 minus -21.8?\nAnswer: -1562740.195621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -207*f + 427. Let q be h(2). Let v = 3 - 1. Suppose 2 = v*a - 22. Is a < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3031872?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-980)\/168*6*-1?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 17. Let d(p) = 581948*p. Determine t(d(n)).\nAnswer: 581948*n - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, -1, -160 in decreasing order.\nAnswer: 6, 5, -1, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 4. Let k(q) = -q + 1. Give -b(f) + 5*k(f).\nAnswer: -4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 15*f - 13 = 4*j, -6 = 3*j + 3*f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*q**3 - 301\/5*q**2 + 1192\/5*q - 1188\/5.\nAnswer: (q - 297)*(q - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.997 + 0.003. Put 67, -1\/2, 0.3, u in descending order.\nAnswer: 67, u, 0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 88 + -616?\nAnswer: -57d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((-123)\/(-117) - 474\/9243)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -894872 divided by 223718.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 3*m. Let c(p) = 2 + 3791*p**2 - 3794*p**2 - 2 + 5*p. Let n(o) = 3*c(o) + 5*k(o). Let g(b) = -40*b - 1. Give g(n(t)).\nAnswer: -40*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -183 (b) -2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34271*u**2 + 34284*u**2 - 68819*u**2.\nAnswer: -264*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 11842*o**2 - 5919*o**2 - 5924*o**2. Let d(i) = 2*i**2. Calculate d(l(m)).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49565520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -369*l*n*p**3 + 2*l*n*p - 3*l*n + 2*n*p**3 + 18*n*p**2 wrt p?\nAnswer: -2214*l*n + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -2\/11*t**2 + 0*t + 3\/22*t**4 + 2\/33*t**3 - 1. Solve w(h) = 0 for h.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**4 + 163989*k**3 - 20015*k**2 - 2 wrt k?\nAnswer: -48*k + 983934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 616 and 135576.\nAnswer: 1491336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 84942 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/78*-3)\/((-210)\/455). Let d(r) be the second derivative of 2\/3*r**3 + 5*r - b*r**4 + 0 + 0*r**2. Find i, given that d(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48959.68 litres in millilitres?\nAnswer: 48959680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22576.908 seconds to minutes.\nAnswer: 376.2818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -24918884 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 152 + 2\/(6\/9). Let i = -40 + z. Let h be i\/30 - 1\/(-6). Solve -h*d + 5*d = 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22c - 0?\nAnswer: 22c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8529484*t + 8529484*t + 168*t**2.\nAnswer: 168*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 26. What is the closest to 0.1 in 0.3, 5, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 2.43.\nAnswer: 4.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42397464*d**2*n + 2*d*n + 7310387*d + 3*n wrt d?\nAnswer: 84794928*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lllv when four letters picked without replacement from lvllllllllvvlvvlllly.\nAnswer: 91\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/7, 0, -3\/8, -15.8.\nAnswer: -15.8, -2, -3\/8, -1\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*y + 14*y + 3*y)*(2 - 11 - 7)*(-4 + 1 + 0)*(-1 + 3 - 3)*(3 + 4 - 6).\nAnswer: -1872*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 12:17 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 82 * 1.4\nAnswer: 114.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -26. Suppose -d + 0*d + 5*f = -37, f - 63 = -i*d. Solve 5*k = 4*a + 31, 0 = -4*a + k + k - d for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.271 in -5, -1, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1700801153?\nAnswer: 223, 2063, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f + 18. Let l be (-16)\/(-6)*(-63)\/14. Let v be 4\/l - (-87)\/(-9). Let n be r(v). Let t(o) = -2. Let u(s) = s**3 - 2. What is n*t(i) + 2*u(i)?\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 (base 15) in base 9?\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15277 - 2436?\nAnswer: -17713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5485940.\nAnswer: 2, 5, 43, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-3))\/(0 + 16\/(-6)). What is the closest to r in 0.5, 1, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 871963?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 389 = -w + 25, -4*w + 5*s + 1731 = 0. Let u = w + -293. Calculate the highest common divisor of u and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39977772 to the power of 1\/2, to the nearest integer?\nAnswer: 6323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 911731.\nAnswer: 29, 149, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -650?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28101149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2, -10, -20, -32, -46?\n\"Answer: -y**2 - 5*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s**2 - 8*s**2 - 39 - s + s to the form c*s**2 + y + l*s and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 167 and 1917995?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3674*h + 189*h - 1665*h to k*h + l and give k.\nAnswer: -5150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*f + 3*f - f + (-1 - 3 + 3)*(-5*f + 2*f + f) - 10 + 10 + 2*f + (4 + 2 - 4)*(-2*f + 3*f - 3*f).\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3)\/n*n)\/n*(((n*n**(1\/5))\/n)\/n)\/n*n**(-9\/2)\/(n*n*n*n**(1\/12)*n) assuming n is positive.\nAnswer: n**(-863\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 72629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*b + 489 = -2*y + 613, 0 = -3*y - 3*b + 15 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 3:10 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 - 40 - l**2 + 91 to the form o + s*l + a*l**2 and give o.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9290?\nAnswer: 2, 5, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -655, -493, 219, 1757, 4397, 8415, 14087?\n\"Answer: 46*g**3 - g**2 - 157*g - 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 21616243.97 to the nearest one thousand.\nAnswer: 21616000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b - 3. Let j be i(-6). Let u be (j\/14)\/(6\/8). Factor 8\/3*p + 8\/3 + 2\/3*p**u.\nAnswer: 2*(p + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 283 - 183. Suppose 54*t = 50*t + w. Find the second derivative of 561*z - 271*z - t*z**2 - 279*z wrt z.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28 - -25) + 0 + 5. Which is smaller: a or 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 2*l - 1. Let b be p(-1). Let g be -1 + (-39)\/(-12) - b. Determine x, given that 0 + 0*x - 1\/4*x**3 + g*x**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36009\/43 greater than or equal to -836?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5158641.\nAnswer: 3, 1719547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1182433938 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232968412 divided by -116484206.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 16) to base 6.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3176413?\nAnswer: 37, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**6\/9 + 2*o**5\/3 - 7*o**4\/6 + 2*o**3\/3 + 15. Suppose z(b) = 0. What is b?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -3*l - 124. What is the common denominator of (4 + (-155)\/20)\/(l\/(-6)) and -27\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 168?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 764*i + 390*i - 13190 = -109562 - 27106 for i.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 2*p - 2*f, 0 = -5*p + f + 3*f + 145. Is 22 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/6*(3 - 1). Let b be ((-7)\/(-7))\/(l\/3). Suppose 2*s + 3*z - 46 = 0, 3*s - 39 = -b*z + 24. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + (-1 - -1) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103 + -79. What is the second derivative of -8*d - 12*d**5 + z*d**5 + d**5 wrt d?\nAnswer: 260*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00728137 to four decimal places.\nAnswer: -0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2600 and 14040.\nAnswer: 70200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 13*x**2 + 22*x - 22. Let y be o(1). Suppose 15*k = 4*c + 13*k - 14, -y = -2*c - k. Solve -17 = c*d + 8 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 261\/17? (a) 1\/2 (b) -2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 214, 2, 3, 4, -4, 52 in increasing order.\nAnswer: -4, 2, 3, 4, 52, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*z + 24, z - 6 = -3*i + 5*z. Suppose i*w = 3*w + 12. Suppose w*p = 643 + 1105. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -26, -40, -56, -74, -94?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4856 and -1.1.\nAnswer: -4857.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -11621216?\nAnswer: 11621213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*u - 6. Solve -2*y + 3*p = 9, -5*p - 4 = 2*y - u*p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5362 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/59 (b) 3 (c) -0.123 (d) -2\/3 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3490, 3293, 3100, 2911, 2726?\nAnswer: 2545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -208.1 and -3.59.\nAnswer: -211.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2*x = 10, 4*m - x - 26 = 8*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 109.3 and 3423.01588012?\nAnswer: 3313.71588012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-3)\/3 - 13. Let j = f - -17. Suppose 0 = -4*x + m + 26, -5*m = -12 + j. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = j + 14. Let d = 90 - j. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(d - 2*d + 0*d)*(-7 + 4 - 7) + 4*d - 4*d + 2*d + 1 - d - 1 + 3*d - 5*d + 0*d + (2*d + 3*d - 3*d)*(0 - 1 + 3).\nAnswer: -17*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 20*b**2 - 19*b + 2. Let c be g(-19). Solve c*u + 16 = 3*o, 5*o + 13 + 2 = -5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1900 divided by 19124\nAnswer: -475\/4781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -84 + 2297275*q + 602571*q - 618590*q - 12. Let x be n(16). What is x rounded to the nearest 1000000?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8a (base 12) to base 11\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3792 and -0.4513.\nAnswer: -1711.3296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 267 + -150. Is h a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713 is divided by 120?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -121\/448 - 1\/64. Let x = -6 + 4. Which is the nearest to d? (a) 3 (b) x (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 21*l**4 + 3*l**3 - 28. Let n(t) = 64*t**4 + 11*t**3 - t - 84. Let d(h) = -2*n(h) + 7*v(h). Find the second derivative of d(o) wrt o.\nAnswer: 228*o**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -5.5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47 * 4.\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802287 is divided by 505?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3588000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 + 1840*b**2 - 38905*b - 40740.\nAnswer: 5*(b - 21)*(b + 1)*(b + 388)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 3*w - 224*w**3 + 113*w**3 + 109*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 12. Let q = 4 + i. Let c = 4 - q. What is the third smallest value in 3\/4, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {w: 2, z: 5, c: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 68, 162, 296?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1118\/215)\/((-2)\/(-5)). Solve -7*b + y*b + 18 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 123956 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 4663.3785 to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2586 - -2598. Calculate the least common multiple of k and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -7*u**3 + 247*u**2 - 114*u - 113. Give m(35).\nAnswer: -1653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296561089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.94 + -0.06. Let u = 2 - q. Which is the third biggest value? (a) 0.2 (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*sqrt(968))\/(sqrt(4) + (sqrt(32)*1)\/sqrt(8)).\nAnswer: -1 + 33*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**5 - 2221*t**4 - 2*t**2 - 1656*t + 3.\nAnswer: -60*t**2 - 53304*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3575\/2, 99, -3\/7 in increasing order.\nAnswer: -3575\/2, -3\/7, 5, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 254.7 * -0.1.\nAnswer: -25.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11415 times 782\nAnswer: 8926530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -28 - 12682. Suppose 1338 = 8*z - r. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2848032?\nAnswer: 2, 3, 11, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -2*g + 5*g + 5, -4*g = 31*v + 205 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -11\/2, -2\/7, -18.\nAnswer: -18, -11\/2, -2\/7, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 167781 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*1\/4 - 49\/(-2). Find the third derivative of 2*x**5 - 200*x**2 + 237*x**2 - b*x**5 wrt x.\nAnswer: -1320*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -491 - 0.\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c - 8. Let a = 180 + -177. Suppose -3*o - h - 14 = 0, a*o - 6 = 6*o + 3*h. Give f(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79242566 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 588117960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/6)\/(3\/(-90)). Let r(q) = 11*q - 6. Let z be r(6). Suppose n*f - z = 5*f. What is the smallest common multiple of f and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157447149?\nAnswer: 3, 17, 3087199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 12648*z + 1964700.\nAnswer: -3*(z - 150)*(z + 4366)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-2) + 0)*-102. Let p = 24 - 20. Let k = p - a. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 228*v**4 - 2*v**2 + v*y + 2*y - 440 wrt v.\nAnswer: 912*v**3 - 4*v + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*l + 42*l = 18. What is the common denominator of (-5*(-22)\/265)\/(l\/(-4)) and 61\/2?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, s: 2, v: 6, z: 4, u: 1}. What is prob of picking 1 j, 1 s, 1 v, and 1 u?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 6\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 1 = 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178 + 267 - 75 = -37*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*n + 4*n - 9, 5*n = 5*m - 30. Let l be -4 - (-14)\/(1 - n). What is the third derivative of -6*w**3 - l*w**2 + 4*w**3 + 7*w**3 + 2*w**3 wrt w?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -8 (b) -3\/4 (c) -1\/2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4*13\/(-3276)*-21)\/((-1)\/150)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(420\/(-8)) - 460\/(-75).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1, -6\/13 in descending order.\nAnswer: -0.4, -6\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 + 12*c - 3. Suppose -7*d - 3*t = -5*d + 13, 2*t - 10 = d. Let g be h(d). Let i = g - 29. Which is smaller: -11\/14 or i?\nAnswer: -11\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 16) to base 15\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3649*d*i**3 + 166*d*i - 4*d + i**3 + 4*i**2 - 2*i - 2 wrt i?\nAnswer: -21894*d*i + 6*i + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 0*c - 92. Let k = -21 + c. Suppose q + 5*f = 2*q - 7, -k*q - 4*f + 28 = 0. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 f when four letters picked without replacement from {u: 6, j: 1, f: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**4\/4 - i**3\/3 + i**2 + 24*i - 33. Calculate the smallest common multiple of l(0) and 4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493449 is divided by 59?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 16. Let o be g(-14). Suppose 0 = -4*v - 0 + 48. Suppose 0 = -3*z - z + v. Solve -o = w + z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57116 or -56915?\nAnswer: -56915","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -1 - (3 + -6 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 8 + 6*l**2 - 41*l - 32*l + 78*l - 24*l**2. Let w(n) = 6*n**2 - 2*n - 3. Give 3*r(b) + 8*w(b).\nAnswer: -6*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 26*s + 22. Suppose -48*t + 2*q = -52*t - 92, -2*q + 8 = 0. Determine o(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2873.1181 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1856, -3706, -5556, -7406, -9256?\nAnswer: -11106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -69. Let d be 2\/8 - 29\/g. Are -2 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -55, -40, -27, -16?\n\"Answer: -i**2 + 18*i - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -60627 - -3?\nAnswer: -60624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 4. Suppose 15 = 5*d - 5*f, -5*d = g*f - 6 - 9. Suppose 5*w - 2*x - 117 = 0, 0*w = 2*w + 4*x - 66. Solve 0 = 2*q + d*q + w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 + o**4 - 9*o**4 + (-3 + 3 + o**3)*(5 - 3*o - 5).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 27*l - 188. Let n be b(7). Solve 2*p - 4*c = p - n, -p - 2*c = -5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**6\/10 + 3*l**2\/2 - l - 1. Let w(m) be the first derivative of j(m). What is the first derivative of w(z) wrt z?\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*d = -222*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -1336 + 2663 - 1327 - 149*h. Let f(b) = 8*b**2 - 1. What is f(g(z))?\nAnswer: 177608*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 997 = 2*x, 4*x - x = 3. Let t = s + 1112. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.18 < -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458460.\nAnswer: 2, 3, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + 9 + -10 + 0 + 1. Solve 2*p - 4 = 2, -q + p = h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.448 + 0.078. Let w = s - -2.27. Let y = w + 0.1. Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2355773 and 0.3.\nAnswer: 706731.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 2031.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 - (9 + -13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167293256?\nAnswer: 2, 13, 857, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**4\/5 + 36*x**3 + 1018*x**2\/5 + 168*x = 0?\nAnswer: -84, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6519, -0.3, -5, -1\/3.\nAnswer: -6519, -5, -4, -1\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2))**(-2\/29)*(n\/n**(-3\/5))\/(n**(2\/5)\/n) assuming n is positive.\nAnswer: n**(339\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49588551*j**3 + 32522*j - 790.\nAnswer: 297531306*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) 3 (c) 0.4 (d) -1 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/10)\/((-2)\/(-16)). Find the second derivative of x*o**4 - 4*o + 6*o + 2*o - o**4 wrt o.\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/7 and 61\/87.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817896?\nAnswer: 2, 3, 53, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 163, 367, 655, 1027, 1483, 2023?\nAnswer: 2647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/5, 8, 5, -5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4500 divided by 20.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c + 1. Let s be (-2)\/(-3) - (-1)\/3. Let o be b(s). Suppose 120 = o*f - 2*f. Solve z + 5*y = f, 0 = -2*z + z - y + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 - 113. Calculate the common denominator of (-4)\/q*(-2 - (-22)\/28) and -7\/11.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41748 and 60564.\nAnswer: 4300044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -3, -21, -72 in decreasing order.\nAnswer: 5, -3, -5, -21, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 64058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30257 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124 and 1984?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 + 22. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-2) - -4 - -1. Let w = q - 3. Suppose -v - 3*b + 38 = 0, w*v + 4*b - 152 = -13. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 2cb?\nAnswer: 2c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/3)\/4*14\/(-12)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61653 = 3*p - 3*f, -174*p + 176*p + 4*f - 41126 = 0. What are the prime factors of p?\nAnswer: 5, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -209\/2 less than -9\/137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 270 and 666?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 21 - ((-2 - 0) + ((31 - 15) + -25 - 1))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, r: 3, t: 1}. What is prob of picking 2 r and 1 t?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*q + a - 3, -2*a - 12 = -q. Let y(d) = d**3 - 5*d**2 + 4*d. Give y(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -3*s + 66. Find the common denominator of -63\/5 and s\/(-14) + (0 - 1).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, h: 18}. Give prob of sequence hkk.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 386011.8 from -0.3.\nAnswer: -386012.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 13*x - 7. Suppose 4*m + 40 = 4. Let c be i(m). Suppose y - 27 = -4*o, 0 = 5*o - 2*y - c - 21. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -13165092050?\nAnswer: -13165092050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - h + 2*h. Let b(t) = t**3 + 9*t**2 + t + 9. Let w be b(-9). Let s(i) = -4*i**2 + 0 + 0*i**2 + w. What is s(z(a))?\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/7))**22*(y\/((y*y**(1\/2)*y)\/y))**(10\/7))**37 assuming y is positive.\nAnswer: y**(1443\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 92551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ch when two letters picked without replacement from {c: 1, o: 2, e: 1, t: 1, y: 2, h: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 68903871.4 rounded to the nearest 100000?\nAnswer: 68900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 - (-45 + -12 + 23).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -24429*o - 11335056. Calculate c(-464).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 + 4*v + 48. List the prime factors of l(11).\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from okkrxkv. Give prob of sequence okrk.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 68562017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -5) + 5 + (-1 - (1 - -3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2330 divide 24621110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76589 - -534110\/7. Suppose -18*s = 2*s + 5740. Let r = h - s. Which is the smallest value? (a) 29 (b) -2 (c) -5 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(3\/5)*d*((d\/(d**(-6)*d))\/d)\/d*d assuming d is positive.\nAnswer: d**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 8*l + 1. Let i = 33 + -29. Calculate n(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 4, 0.4, 0, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 + ((-6004)\/(-1145) - (-83)\/(-415)). Is -0.1 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 39977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66238353?\nAnswer: 3, 7359817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -46 - 40?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, 0.2, -0.2, -21?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12509*a - k = -12504*a + 19, -2*k + 1 = -3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h - 1 + 2*h**2 + 7 - 2. Let z(w) = -2*w**2 + 3*w - 5. Let d(r) = 5*t(r) + 4*z(r). Factor d(i).\nAnswer: 2*i*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*m**2 - 56*m**2 - 49*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 663123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*5\/(-30) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3820?\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4796 is divided by 191?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 8. Solve f = u - 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 430*x**2 - 1065*x + 319304.\nAnswer: 860*x - 1065","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*v - 4*l + 151, v = -5*l + 27. Find the first derivative of -q + 71*q**2 - v + q - 98*q**2 wrt q.\nAnswer: -54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v - 2*v**2 + 6*v + 3*v + 16*v**3.\nAnswer: 16*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y + 5. Let x be 10\/(-1 + (5 - 2)). Calculate the remainder when z(x) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9460*f**3*s**3 + f**3*s**2 + f*s**4 - 37533*f*s**2 wrt s.\nAnswer: 56760*f**3 + 24*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7*w - 56 = 0. Suppose -3*s = -2*m + 16, 3*s + 2*m + 6 = -2. Let h = w - s. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164174 or 164177?\nAnswer: 164174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(15\/8) + 1360\/(-408). What is the fourth smallest value in y, 2, 3, 0, -1\/87?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 831 = 4*j - 7*g + 616, 2*j + 7*g = -209 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1398136235\/6122 + 228379. Is o less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u - 7*u - 604. Calculate the remainder when u is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 7736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 142 - 80*m**3 - 8*m**2 + 82*m**3 - 140 + 2*m**4 in the form b + q*m + s*m**2 + y*m**4 + f*m**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -1\/2*k**3 + 0 - 2*k - 3\/2*k**2. List the prime factors of y(-6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*(-2*sqrt(70) + sqrt(70)))\/(sqrt(1000) - (sqrt(1000)*-1 + sqrt(1000))) + -5).\nAnswer: -30 + 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3 - 88*o**2 + 1066*o - 3380 = 0.\nAnswer: 5, 13, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80744592 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9307903753?\nAnswer: 1307, 7121579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-135)\/(-12) + -5 + 9 + 74\/(-8). Sort -134, 4, q in ascending order.\nAnswer: -134, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8410088 divided by 91414\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 - r. Suppose 11*t - 2 = 12*t. Give y(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 - x + 1. Let m(j) = -2*j - 4. Let c be m(-3). Suppose -6*b + c*b = 16. Let k = -3 - b. Give q(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/7)\/(b*b\/(((b\/(b\/(b**(3\/20)\/b)*b))\/b*b*b*b)\/b)*b*b*b*b) assuming b is positive.\nAnswer: b**(-919\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -2*r - 168. Let s = r + -44. Which is the nearest to -1? (a) s (b) 4 (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -0.2 (b) 41 (c) -257 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1716 is divided by 112.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 18*j - 51. Let l be o(14). Suppose -s - 1 = 0, 0 = 3*x - l*s + 7 + 3. Sort 4, -4, x.\nAnswer: x, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y - 92 - 5*y + 7*y**2 + y - y**3 + 106 as g*y + p + u*y**3 + k*y**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13634 and 19378?\nAnswer: 5744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 16 + 1. Sort 1, r, 5.\nAnswer: r, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**5\/15 - r**4\/3 + 2*r**3\/3 - 2*r**2\/3 + r\/3 - 1. Suppose b(m) = 0. What is m?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-2))\/(-6 + 7). Let f(k) = 3*k**3 - 2*k**2 + k. Let t(z) = -z. Let a(n) = s*f(n) + t(n). What is the third derivative of a(r) wrt r?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 e when three letters picked without replacement from {f: 1, s: 7, e: 12}.\nAnswer: 77\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*b = -92*b - 57078. List the prime factors of b.\nAnswer: 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/11165 and 2\/218225.\nAnswer: 2400475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 160 + -446. Is m\/(-6) + (-10)\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -253*f**2*k*o + 58*f**2*k - f - 10296*k*o wrt f?\nAnswer: -506*f*k*o + 116*f*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -96 and -95 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2 = 2*l, 4*l = -4*w + 3*l + 6. Let y(m) = 6 + w*m - m + 6 - 17. Give y(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 6*f**2 + f**2)*(-158*f - 51*f - 13*f).\nAnswer: 1332*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 938\/(-77))\/1.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*m + 19140, -5*m + x = 9301 - 57158. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h = -12. Let y = 9 + h. Suppose y*x - 54 = -0*x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11529 rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 875*h + 870*h - 1759*h.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -25232684 plus 0.1507?\nAnswer: -25232683.8493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -5, -0.1, 577 in ascending order.\nAnswer: -5, -0.1, 14, 577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89 + -90 + 8 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24342, 97017, 218024, 387363, 605034, 871037, 1185372?\n\"Answer: 24166*b**2 + 177*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17935818?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - -1 - 19) + 19 - 24?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1604 and -91\/20.\nAnswer: 8020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 488420323 divided by 1.\nAnswer: 488420323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.06 (b) 3.4 (c) -1\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2005.043 != 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -17 + 32. Calculate the greatest common factor of y and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*w + 259 = 34*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*p - 164 = -2*r - 68*p, -2*r + 4*p + 174 = 0. What is the highest common factor of r and 140?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from {u: 4, w: 1, b: 8}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 328899850 rounded to the nearest one hundred thousand?\nAnswer: 328900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 2182 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 279.115286 to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b**3. Let v be f(1). What is the least common multiple of (-1780)\/(-90) - v\/(-18) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/8 - 27475*x\/2 - 754875625\/2 = 0. Calculate x.\nAnswer: -54950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 26. Let x = s + 88. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 370961557 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 43 = -17. Calculate the smallest common multiple of 1 - 0 - (g + 4) and (-2)\/8*-9*(-2560)\/(-240).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -214, -293, -506, -919, -1598, -2609, -4018?\nAnswer: -5891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280 and 910.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v - 8*v - 8*v)*(-61*v - 43*v + 29*v) to d + b*v + y*v**2 and give y.\nAnswer: 975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 318101?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3381415?\nAnswer: 5, 47, 14389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 34*b - 100. Let w = 1707 + -1676. Calculate k(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, r: 1, t: 3, k: 4, l: 1}. Give prob of picking 1 k and 2 e.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1766?\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144 a factor of 1791739664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**2 + 4517896*m - 22589380 = 0.\nAnswer: 5, 1129469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 229*d + 1388 - 520 + 4857 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4*q - 15 = -34, 2*k + 2*q - 14 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*u**2 + 57*u**2 - 183*u**2 + 56*u**2.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10116376 to the power of 1\/2, to the nearest integer?\nAnswer: 3181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (4 - -1) + 0. Suppose 1 = -2*w + p. Is w less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 38*z**2 - 14*z - 15. Let w(j) = 75*j**2 - 30*j - 29. Let i(l) = 13*r(l) - 6*w(l). Differentiate i(b) wrt b.\nAnswer: 88*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13232303313 (base 4) to base 8\nAnswer: 7566367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 45) + (45 + 37 - 62)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - f = -1871, 2*f = a + 58 - 537. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 2. Let t be b(0). What is the second derivative of h + 3*h**2 - t*h - 2*h**2 + 3*h**2 wrt h?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*((h**(2\/17)\/h)\/h)\/h*h)\/(h**4*h))\/(h**(-1)\/h**(-1)) assuming h is positive.\nAnswer: h**(-100\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, y: 4, c: 2, l: 1, f: 7, n: 1}. Give prob of picking 1 f and 1 c.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 51078126 at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/9*-3 + -1551. Let b = -981 - o. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42422566?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127 + 141 - (56 + (-4 - -3 - 4)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50\/141 + 1\/47. Let d = -54 + 217. Let y = d + -158. Which is the closest to q? (a) -1\/4 (b) -0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -220 + 439\/2. What is the fourth biggest value in q, 0, -1\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llfllllllff. Give prob of sequence lf.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) 1 (c) -3\/2 (d) -3 (e) 2\/47009\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 2*i + 1. Let q be u(19). Suppose -4*p + q = -0*p. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 1 = -3*f, -183*i - 2*f - 2 = -182*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1897962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19933 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330 = 102*d - 124*d for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 107, 115, 123, 131, 139?\n\"Answer: 8*d + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnzgfnnnh. What is prob of sequence hn?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.38357 micrograms to kilograms.\nAnswer: 0.00000002538357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -935 != -18727\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 24*o**2 - 71*o + 127. Let c be j(2). Solve -15*k - c = -51 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 264. Let i be k(0). What is the highest common factor of 24 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/5, -5, -25.8?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*j + 23*j = 223*j - 276 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccfuyu. What is prob of sequence fuf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 14741150*b.\nAnswer: -5*b*(b + 2948230)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3588 (b) -5 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20d8d (base 15) in base 14?\nAnswer: 2a028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2 + 11*y + y**2 + 3*y**2. Let z = -168 + 191. What is the remainder when g(-10) is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l + 12591 = 12801 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3513?\nAnswer: 3, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42*50\/(-840))\/(((-15)\/(-4))\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 7 + 3 - 64\/6?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1609071949.\nAnswer: 8783, 183203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-3\/32))**4*((y\/(y*y*y*y*y\/(y*y**(12\/11))))\/y*y)\/(y**(5\/3)*y) assuming y is positive.\nAnswer: y**(-251\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 57251920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 486 and -4472 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 439917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 32*u + 59061 = -32235. Is u a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**4\/(n**(1\/11)*n*n*n)*n**4\/(n\/(n*n\/n**(-4))) assuming n is positive.\nAnswer: n**(109\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3.715102 centuries?\nAnswer: 0.3715102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 6:13 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/8 + 579\/12. Let x = j - 47. Suppose -58 = -4*r - x*a + 254, 6 = 3*a. Does 18 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -1027*l - 17483. Determine t(-17).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, o: 1, e: 1, j: 1, m: 2, s: 1}. Give prob of picking 1 m, 1 o, and 1 e.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**8)**(-39)*(a*a*a**(-3\/14))**35 assuming a is positive.\nAnswer: a**(-499\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 612\/(-22) + (-14)\/77. Suppose u - 5*l = 5, 0 = u - 5*u + 5*l - 55. Let a = u - n. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 5 = 3*b, 5*b - 17*z - 18 = -14*z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 275276 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62183 - 22986. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313 = 4*m - 4*j + 125, 0 = -3*m + 5*j + 419 - 194 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124660?\nAnswer: 2, 5, 23, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2126746*q**2*v**2 + 3*q**2*v - 2*q*v**2 - 1904*q + 131*v**2 wrt q.\nAnswer: -4253492*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5347 (base 8) to base 3\nAnswer: -10211101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10026 = -89*p + 98*p. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.214602 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 3:22 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 2*x - 2. Let k(w) = -5*w**2 - 9*w + 11. Let o(t) = -11*b(t) - 2*k(t). Let d(q) = 3*q**2 + 9*q. What is -4*d(c) - 9*o(c)?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12.3 and 163.\nAnswer: 175.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159 by 40.\nAnswer: -159\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 2:24 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000023163 to seven decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193408497 divided by 1.\nAnswer: 193408497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20078426 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: What is the product of -0.68 and -768792?\nAnswer: 522778.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5043697 is divided by 39714.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**3 + 3*a**2 - a - 1. Let b be 1 + (-3)\/(-1) - 1*14. Let o be (-3)\/(4\/(-1 - 15)). Let w = b + o. Determine s(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -582 + 1741. Suppose -5*w + 3*f + 290 = 0, -f - 48 = 5*w - 358. What is the greatest common divisor of a and w?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1)*(4 + 44*v - 42*v + 56) in the form d + y*v and give d.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (8 + -15 + -2 + 3 + 6).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**3 - 5*s**2 - 5*s - 1. Let o be (196\/(-6))\/((-12)\/(-18)). Let j = o - -46. Let k be x(j). Solve -4*a + 11 = -3*r, -k = -r - 0*r - 4*a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + sqrt(931)*4)*-1.\nAnswer: -28*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 1067*f + 1079*f - 130 = 0, 3*r + 5*f = 65 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.76 - 0.24. Let s = r + -10. Which is the biggest value? (a) s (b) 0.3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 248066475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 271, -2, 49?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4918494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1223933 rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 52. Let p be z(-56). Solve 0 = -l + r + p, 2*l - 2*r + 4 = -3*r for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + 24. Suppose 5*u = -2*m - 2*m + 78, -s = -2*m + u. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 175.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u = -22 + 4. Let y(q) = q - 1. Let v(k) = -3*k + 3. What is u*v(m) - 4*y(m)?\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 4\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.229 less than -321.47?\nAnswer: -316.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -475*t**3 - 5*t**2 - 50*t + 7. Let j(y) = y**3 + y**2 + 2*y. Let h(x) = c(x) + 5*j(x). Find the second derivative of h(s) wrt s.\nAnswer: -2820*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -328369 to the nearest one thousand.\nAnswer: -328000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x - 21. Calculate f(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 11*v + 3. Let h be g(-3). Let r be (1\/h)\/(2\/(-8)). Suppose 0 = 3*b + b. Which is smaller: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -104259 - -151448. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -980?\nAnswer: 4\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 123.\nAnswer: -5\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4452 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 4*v - 52, -2*v + 1245 = -5*f + 1303 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 + 285*z + 385*z**3 - 287*z + 207*z**3.\nAnswer: 592*z**3 + 3*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*c**3 - 6627595*c**2 + 235142833.\nAnswer: -48*c**2 - 13255190*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027259\/2 at most as big as 513630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 1\/240*f**5 - 1\/120*f**6 + 1\/24*f**4 - 1\/24*f**3 + 3*f**2 + 0*f + 0. Determine m, given that j(m) = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-7\/3))\/f*f**(-34)*f**12*f*f**(-6\/29)\/f assuming f is positive.\nAnswer: f**(-2048\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**3\/3 - 8*n**2 - 27*n + 371. Calculate f(-12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (895\/1074)\/((-1)\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 11*l + 9*l + 20*l - 26*l + 3*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2092 from -69457.1.\nAnswer: -71549.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hulkxli. What is prob of sequence kx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1839610*r**2 - 22924*r - 36.\nAnswer: 3679220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 296 = 8*c + 21*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m = -11*m. Let c be (-1)\/5 - (-366)\/30. Let l be (-2)\/c - 161\/(-1470). Which is greater: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-13 - (-8 + -9)). What is the nearest to -8 in -1.2, 2, g?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2310 divided by 1?\nAnswer: -2310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*c + 10475 = 1211. Calculate the greatest common divisor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1815 and 115523540.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3808 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34904 by -8726.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128540, 257081, 385622, 514163, 642704?\nAnswer: 771245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -4, -790, 33, 0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 836 from -4.\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*w + 3*a**3 - 42*a**2 - 21*a - 4*w wrt a.\nAnswer: 12*a*w + 18*a - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.98 + -5. Suppose 21*a - 75 = 36*a. What is the third biggest value in a, 5, y, 4\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 18. Which is the nearest to f? (a) -1 (b) 4 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) 1 (c) -2\/3 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55308 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117.2 + -128. Let t = q - -11. Sort t, -2, 5 in descending order.\nAnswer: 5, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f = -465. Does 5 divide f\/(-27) + 2\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y**2 + 7*y - 60. Let i(v) = -7*v**2 - 9*v + 64. Give 4*i(w) + 5*l(w).\nAnswer: 2*w**2 - w - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -430242 (base 8) to base 14.\nAnswer: -3a438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7467 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11616*l**4 + 15978*l**4 - 20836*l**4 + (0*l**2 + 2*l**3 + 0*l**2)*(-l - 3*l + 5*l) to i*l**4 + r*l**3 + t*l + q + b*l**2 and give i.\nAnswer: 6760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 - -1.39. Let o = 0.12 + 0.48. Let s = o - k. Round s to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0305 + -1.221492?\nAnswer: -1.190992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -1312112033?\nAnswer: -1312112041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4908863587?\nAnswer: 16417, 299011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2 + 2*sqrt(2))**2 - (sqrt(8)\/(sqrt(4)*-2))**2).\nAnswer: -16*sqrt(2) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37429.97us in nanoseconds?\nAnswer: 37429970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/3 in 2, -3, -0.9, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 193280 to the nearest one thousand.\nAnswer: 193000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7827307 to the power of 1\/2, to the nearest integer?\nAnswer: 2798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*y + 50. Let d be (8\/y)\/((-2)\/15). Let s be (-65)\/(-10) - d\/4. Solve -5*f - 49 = 4*i - 16, -5*i - 35 = s*f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y - 2. Let x be b(6). Let q be (x\/14)\/2*-4339. Let h = 1235 - q. What is the common denominator of h and 27\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**4 + 0*s**4 + 0*s**4 + (0*s**2 - 3*s**2 + s**2)*(-s**2 + 0 + 0))*(-4 + 8 - 2).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 28*g + 10. Let i be y(28). Let h = 5 - 2. Let s be 329\/h - 2\/(-6). Calculate the greatest common factor of i and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, k: 2}. What is prob of sequence kkq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -28. Let y = -0.1 - -0.1. Let m = y - 0. Which is the second smallest value? (a) 4 (b) m (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 9:16 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 645807061?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1817, 2157, 2497?\n\"Answer: 340*q + 1477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 2*x**2 - 3*x + 1. Let d be p(-3). Let i(u) = u**2 + 3*u + 1. What is the least common multiple of (-2)\/(d\/((-6)\/2)) and i(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 21*k + 5. Give r(-18).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16342 - -16406. Calculate the greatest common factor of 66 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5119 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(4\/11)\/w*w*w**6*w**(-12)*w\/(w**(4\/3)\/w*w) assuming w is positive.\nAnswer: w**(-197\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 214569 and -12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -204195\/4 - -50754. Let c = w + 297. Which is greater: c or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 17*k**5\/60 - 4*k**2 - 5*k. Suppose -11 = -12*j + 1. What is n(j)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 803685059, 803685067, 803685085, 803685119, 803685175, 803685259, 803685377, 803685535?\n\"Answer: c**3 - c**2 + 4*c + 803685055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -0.059004.\nAnswer: -0.00236016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -54*q + 1195. What is r(22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 3. Suppose d*y = -4*r + 28, -7*r + 3*r = -3*y + 44. Find the common denominator of -1 + (-9)\/y + -1 and 5\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 128775.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(110) + sqrt(110)*1) + -2*(sqrt(110) + 2*sqrt(110) - sqrt(110)) + sqrt(110))\/(sqrt(640) + (1*2*sqrt(640) - sqrt(640))).\nAnswer: sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(9\/(-3))*(-8)\/(-5*112\/770).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 9*h + 5. Let q(a) = -a**2 - 8*a - 5. Let l be q(-6). Let r be m(l). Let x = -21 + r. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*c - 64, -7 = -0*c - c - 5*k. Let m(g) = 18*g - 1. What is the remainder when m(2) is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6893168 by -1723292.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s + 23884 - 24139 = 0 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/4)\/x**(3\/2))**(-4\/7)\/((x\/((x**(-1\/3)\/x*x)\/x)*x*x)\/(x\/(x\/((x*x**(-1))\/x)*x)))**(2\/17) assuming x is positive.\nAnswer: x**(-215\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -169 - -166. Which is the second biggest value? (a) -0.1 (b) 0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -686*t - 1473*t - 53*t as j*t + a and give j.\nAnswer: -2212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 160.6333096 rounded to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1715.011 years to decades.\nAnswer: 171.5011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 90*v + 93*v - 54*v + 0 - 126*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27559 = 25*m - 32*m. Let s = -2640 + m. List the prime factors of s.\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -581 (base 16) to base 9\nAnswer: -1835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-20\/9)\/p**(-12))\/((p**36*p)\/p**(2\/3)))**20 assuming p is positive.\nAnswer: p**(-4780\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 3*p + 84. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10649.\nAnswer: 23, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4921762073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q**3 - q**2 - 3*q + 4. Let u(p) = -7*p + 4 + 2 + 13*p**3 + 8 - 7 - 3*p**2 + 2. Determine 3*u(g) - 7*v(g).\nAnswer: -3*g**3 - 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.048, -2\/55, -1\/2, 3\/5, 4\/15?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, e: 4, l: 6, k: 1}. What is prob of picking 1 k, 1 l, and 1 p?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 3*t + 18 + 4, -l = -2*t + 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 159624 = -5*g, -53216 = -z + 13*g - 14*g. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 32*i**2 - 28*i - 1. Is p(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 5*z**4\/2 + z**2\/2 - z + 11. Give i(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.98 - -0.02. What is the third smallest value in -0.4, 1\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209282 is divided by 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**8\/224 - t**7\/14 - 29*t**6\/80 - 4*t**5\/5 - 3*t**4\/4 - 3*t**2 - 15. Find s, given that k(s) = 0.\nAnswer: -6, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -920.8 - -846. Let x = u - -75. Suppose -4*o = 8, 0*f + o = -f - 5. Which is the nearest to f? (a) 0.4 (b) x (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/3 (b) 767 (c) 2\/7 (d) 5 (e) -85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7035713925.\nAnswer: 3, 5, 17, 29, 190283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5*n + 1, w - 4*n = -w - 8. Let t = -3 - w. Let z = t - 3. Solve 0 = -3*i - z*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 231 - 226. Let y(u) be the first derivative of u**4\/4 - 2*u**3 + 3*u**2 - 7*u - 1. What is y(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97 + 74 - 304 - 418)*(-1 + o**5 + 1).\nAnswer: -551*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12068 and 21077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cdcbd8 (base 14) to base 6.\nAnswer: -405442254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -32797\nAnswer: 3\/32797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6395 - 6389. Let n(m) be the second derivative of 0*m**3 + 0*m**2 + 2\/15*m**g - 24*m + 0*m**5 + 0 + 0*m**4. Factor n(o).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*b + 12, 0 = -3*n - 2*b + 360. Suppose -o + 125 = -n. List the prime factors of o.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 14820228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.39 + 3.41. Let q = z - 6.8. Which is the nearest to -1? (a) -5 (b) q (c) 2\/5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0.2, 164.473, 0.1, 0.\nAnswer: -7, 0, 0.1, 0.2, 164.473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -191\/7 - -27. Let k = 62.32 + -57.32. What is the nearest to -2\/3 in -0.2, k, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k. Let z(q) = -8*q - 20*q + 11*q - 11*q**2. Let m be (-1*(0 - 17))\/1. Let o(s) = 4*s**2 + 6*s. Let c(i) = m*o(i) + 6*z(i). Calculate c(f(x)).\nAnswer: 50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 498 = -42*g + 9*d - 270, 5*d + 30 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 6*c. Let g be 640\/104 - (-4)\/130*-5. Let h(x) = 3*x**2 - 17*x. Give g*h(t) + 17*a(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) - -6*(2 + sqrt(98)) - (5 + sqrt(98) + 0 + sqrt(98)) - -6*(-5 + 2 + sqrt(98))*-2)*2)**2.\nAnswer: -16856*sqrt(2) + 26604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 2:56 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**4 + 89*k**3 + 39*k**3 + 56*k**3 + (-18 + 18 - 5*k)*(-k**3 - 1 + 1) - k**4 - 2*k**3 + 2*k**3.\nAnswer: 6*k**4 + 184*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 + 6 + 1 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 162.1 and -5.\nAnswer: -810.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2 - d - 6*d - 4 + 6*d. Let p be c(-2). Let w be -7 + (-18)\/((-252)\/70). Sort p, 2, 1, w.\nAnswer: w, p, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - f - 8 - 8 = 0, -2*f - 2 = 2*m. Suppose 12 = -m*t + 7*t - 5*k, 5*k + 10 = 5*t. Let u be (-2)\/(-6) - (-116)\/(-96). Which is greater: t or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -177060 by 130.\nAnswer: -1362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 8*y**2 + 3*y. Let u(v) = 9*v**2 + 2*v. What is -2*d(n) + 3*u(n)?\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b**2 + 104*b - 28. Determine j(-21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 115.50911 and -1.\nAnswer: -115.50911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 10*t**2 + 10*t - 8. Let p = 23 - 14. Let s be o(p). Let n = 0.3 - 0.1. Which is the nearest to 2\/7? (a) s (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*o - 0*o. Let g = -1 - o. Suppose -g + 9 = -3*j. Let m(q) = q + 2. Let w(u) = u + 1. Determine j*m(d) + 3*w(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (2 + -3 + 0 + -5). Solve 7 = -g + p*r, 5*r - 13 = g - 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/59421 + 1960973\/2376840. Find the common denominator of (2 + 115\/2)\/(-24) and u.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 87*y + 3. Let n(a) = -43*a - 2. Determine -7*n(s) - 4*u(s).\nAnswer: -47*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 111, -2, 4, -8 in increasing order.\nAnswer: -37, -8, -2, 4, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**2 + 5*w**2 + 11*w**2.\nAnswer: 23*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 52 = 5*n, -n - 46 + 18 = -4*i. Let q be (n\/(-16))\/(2\/8). Let a be ((-24)\/9)\/(q\/364500). What is a rounded to the nearest ten thousand?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5 - 350*i**4 - 2894*i**3 + 10772*i**2 - 11467*i + 3938.\nAnswer: (i - 358)*(i - 1)**3*(i + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 4 - (-71 - -76) - -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80610676*t**4 + 250895994*t**2 - 1?\nAnswer: 1934656224*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4221?\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -468, 11, 10 in descending order.\nAnswer: 11, 10, 4, -2, -468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 11*b**2 - 17*b + 19. Let o(l) = -4*l**2 + 6*l - 6. Give -8*o(m) - 3*q(m).\nAnswer: -m**2 + 3*m - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*i - 93*i - 81*i + 48*i - 171*i.\nAnswer: -243*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1325*w**5 - 234*w**4 + 16*w**3 - 17192*w - 278.\nAnswer: 26500*w**3 - 2808*w**2 + 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -28386?\nAnswer: -7\/28386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 95 or 11?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4224463 rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 13*l + 10*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/21 and -18 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11700 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**6\/90 - t**5\/60 + t**4\/36 + t**3\/18 + 5*t. Factor m(l).\nAnswer: -l*(l - 1)*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 11*z**2 + 8 - 7 - 4*z**2. Let y be t(-2). Suppose -n - 10 = -y. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12.1, 6, 0.2 in ascending order.\nAnswer: -12.1, 0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4875 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/177 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042\/63711 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - b + 11. Let t be c(0). Let a be 46\/t + 2\/(-11). Suppose 46*o = 50*o - 8. Solve u + 3*j - 16 = a, -o*u + 5*j = 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-45)*-3 + 0. Let j = -1.83 - -1.3. Let p = j + 0.03. Which is the smallest value? (a) o (b) -5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 2*o + 3. Let l be h(-3). Let j = -350 + 352. Differentiate s**2 - 8*s**2 - l + j with respect to s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -425650344 by 588728.\nAnswer: -723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**2*t**3 + 91*a**2 + 70*a*t**3 - a*t + 3*t**2 wrt t.\nAnswer: 18*a**2*t + 420*a*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 70\/(-40) - -1 - (-15)\/4. Let p(s) = n*s + 44 - 3*s**2 + 7*s + 0*s**2 - 54 + 2*s**2. Determine p(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -51, -7381 in descending order.\nAnswer: -3, -51, -7381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 0)*(-6 + 27). Let i = 2 - -1. Calculate the highest common factor of i and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.005 - 0.285. Let j = 0.27 + b. Let u = 4.9 - 2.9. Which is smaller: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23187?\nAnswer: 3, 59, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**4 + 12*f**2 - 6*f + 102. Let d(v) = v**4 - 11*v**2 + 5*v - 102. Let n(w) = 6*d(w) + 5*g(w). Differentiate n(c) with respect to c.\nAnswer: 4*c**3 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y + 109*y + 38*y + 10*y.\nAnswer: 167*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12412 + 26691. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 23*t**2 - 17*t + 20. Is 20 a factor of p(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 293*s. Let d(t) be the third derivative of t**4\/4 - 48*t**2 - 2*t - 6. Give p(d(u)).\nAnswer: 1758*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -509 - -510.225. Let r = -13.095 + g. What is r rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*o - 55*o + 45*o.\nAnswer: -106*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j**2 - 4. Let d(n) = n**2 - 1. Let i(q) = 11*q + 224. Let t be i(-20). Give t*d(b) - p(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 760\/(-6) - (-10)\/15. Let u = -134 - q. What is the units digit of u\/(-16) - 1*525\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f + 1 - 2 + 0*f - 2*f**2 + 5*f - 26*f**2 in the form h*f**2 + j*f + o and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4393\/3, 2\/13, 4 in decreasing order.\nAnswer: 4393\/3, 4, 2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13517.30004 * 4.\nAnswer: 54069.20016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -159725100 rounded to the nearest one million?\nAnswer: -160000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 - 7*s + (7*s + 33 - 33)*(1 - 2 - 1) - 2*s + 4*s + 5*s - 7 + 7 - 3*s.\nAnswer: -17*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33216 is divided by 8264.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.926 + -7. Let y = 5.726 - n. Let d = -6 + y. Which is the second biggest value? (a) d (b) 0.4 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7827.2 - 7827. What is the closest to -3\/2 in 0.4, g, -214\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khbxhk. What is prob of picking 2 h and 1 b?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2)*c**8)\/((c\/(c\/(c*c**(2\/13)))*c)\/c**(-5)))\/((c*c**0\/c)**39*(c**(-1\/3)*c*c)**(-1\/8)) assuming c is positive.\nAnswer: c**(-295\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -744 - 336. Suppose 4*o = -2*k + h, k = -5*o - 3*k + 273. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b**3 - 16*b**3 + 28*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 c, and 1 m when four letters picked without replacement from {l: 8, j: 1, w: 2, m: 1, c: 1, b: 1}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 12:18 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 5*u + 9. Let z be y(-6). Suppose 0 = 14*p + z*p - 85. Solve p*t - 2*c - 13 = -0*c, -4*c = -5*t + 21 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30317*a - 94 + 19 - 30328*a - 16.\nAnswer: -11*a - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 24. Let b = 27 + u. Let c = -9.9999 + b. Round c to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 25*k**3 - 5*k**2 + 25*k + 59. Give l(-2).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*r**5 - 93*r**5 - 72*r**5 + 0*r**2 + 2*r**5 + 0*r**2 + (-r**2 + r**2 - r**2)*(-2*r**3 + r - r) + 3*r**5 - 2*r**5 + r**5.\nAnswer: -178*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*r*x**4 - 29*r*x**3 - 41*r*x - 2*x**4 - 8*x**2 wrt x?\nAnswer: 408*r*x - 174*r - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -646 - 307 = -5*k - 4*d, -3*d - 750 = -4*k. Let r be k\/11 - 10\/55. Solve 2 - r = -3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110041 (base 8) in base 13?\nAnswer: -13a43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2. Let c be (6\/4)\/((-9)\/(-12)). Let a(i) = 5*i**2 - 7*i**c + 3*i**2. Determine a(b(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 4*m - 214*f + 213*f, 303 = 3*m + 13*f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -190 + 113. Let t = -82 - k. Let d = -0.04 + 0.24. What is the closest to d in t, 0.3, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5243?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*c**3 + 93*c**3 - 40*c**3 - 53*c**3 + 8*c**2 - 235*c**2.\nAnswer: -34*c**3 - 227*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -20*c**3 - 258*c**2 - 137*c + 106. Let x(a) = 9*a**3 + 129*a**2 + 69*a - 54. Let h(m) = 3*b(m) + 5*x(m). Determine v, given that h(v) = 0.\nAnswer: -8, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 2874.\nAnswer: 7\/2874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36734162\/7 at least as big as 5247737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 12*y - 281. Let q(b) = 7*b - 142. Let g(u) = 2*a(u) - 5*q(u). Is 6 a factor of g(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from xxjajxjxaaj?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 + 2*a**3 - 4*a**3 + (-1 - 2*a - 1 + 3*a)*((3*a - 2*a - 2*a)*(a - 2*a + 0*a) - 27*a**2 + 2*a**2 + 3*a**2).\nAnswer: -23*a**3 + 42*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 300 divided by -60\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 + 3*g. Let k(f) = -5*f**2 - 6*f. Suppose -25*q - 11*q + 144 = 0. What is q*k(h) + 9*i(h)?\nAnswer: -2*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -139240271*c + 264592094?\nAnswer: -139240271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6075, -6051, -5977, -5829, -5583, -5215?\nAnswer: -4701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkek when four letters picked without replacement from ekkek?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10219135 - -5?\nAnswer: -10219130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14db18 (base 14) to base 15.\nAnswer: -e6178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1, 2, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 2\/41, 42?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*p + 27*p - 8*p)*(-4 - 1 + 70).\nAnswer: 1885*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -975760 + 11\nAnswer: -975749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17352 + 17349. Put 7\/4, 3, -3\/2, 5, o in increasing order.\nAnswer: o, -3\/2, 7\/4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 877198577 to the power of 1\/4, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -468, -532, -596, -660, -724, -788?\nAnswer: -852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-32) + -1*20\/(-16). Let g = 9.044 + -9. Let d = 0.156 + g. Which is the biggest value? (a) o (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*f - 2*f + f)*(10 - 10 + 19) + 1 - f - 1)*(3 + 2 - 3)*(3*f**2 - 3*f**3 - 3*f**2) to the form p*f + l*f**2 + n + d*f**4 + x*f**3 and give d.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*j**2 + 25526*j\/5 + 102824\/5.\nAnswer: -(j + 4)*(45*j - 25706)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -7987.39581 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 130 + -48. Let x = w + -8. Let t = x + -75. Put -0.3, -1\/5, t, 0.2 in decreasing order.\nAnswer: 0.2, -1\/5, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 5*b + 30 = 13*k, 2*k - 7 = -b. Suppose 0 = d - 4*d + k*x + 152, 2*x = 10. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 6. What is the third derivative of -c**2 - 4*c**2 + 3*c**2 + 5*c**3 - 3*c**t wrt c?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30.1 + 30. Which is the nearest to s? (a) 3 (b) 4 (c) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -161 or -12643\/79?\nAnswer: -12643\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -351.6 - -0.02598664?\nAnswer: -351.57401336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - l**2 + 80. Let b = -18 + 18. Let a be j(b). Suppose -3*i + 80 = -i + 4*c, -2*i + a = -c. Calculate the highest common divisor of 20 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*g**2 + 24*g**2 - 115*g**2)*(0 + 0 + 3*g) + (2 + 0 - 1)*(-4 - 1 + 2)*(3*g**3 - g**3 + 0*g**3).\nAnswer: -177*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 148382 divided by -2961\nAnswer: -148382\/2961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*c + 0)*(-2 + 4557*c + 23 - 4550*c).\nAnswer: 28*c**2 + 84*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3718)\/(-12) - (1 - 35\/30). Let r = m + -225. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 27. Let v be 6\/(-4)*10\/l. Suppose 16 = 3*w + f - 19, w + v*f - 7 = 0. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5125 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3 = -3*w, -2*w = 3*x - w + 1. Let p(k) = -k**2 + 3. Let u be p(x). Find the third derivative of -u*a**6 + 2*a**6 - a**2 - 3*a**6 + 2*a**6 wrt a.\nAnswer: -240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-10))\/(1201 - 1188)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, j: 4, g: 1, k: 3}. What is prob of picking 4 j?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202143 (base 6) to base 10.\nAnswer: 62703","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (-110)\/(-8) - (-4)\/16. List the prime factors of 1095\/35 + (-4)\/c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2773598800 to the nearest 100000.\nAnswer: -2773600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t + t + t)*(-173*t + 240*t - 79*t - 200*t) to the form i + h*t**2 + k*t and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -201*(-6)\/9*1 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of t**2 - 69*t**3 - 124 + t**2 - 131*t + 131*t wrt t.\nAnswer: -207*t**2 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 + (7 - -5) + -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3. Let x(p) = -1529*p + 765*p + 765*p - 4. Give 4*m(s) - 3*x(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 - -200. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516 = -14*z + 8*z. Suppose 2*m = 2*u + 250, -4*m + 0*u = -u - 512. Let b = m - z. Calculate the remainder when b is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 724497193 a multiple of 1229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19790612?\nAnswer: 2, 4947653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9076 - -9202. What is the remainder when 403 is divided by h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 17, w: 1}. What is prob of sequence ooow?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h**2 + 16442*h**4 + 4 - 46*h - 4 - 16439*h**4 + 0 in the form p*h + i + a*h**3 + m*h**2 + f*h**4 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 + 2 - (-36 - 0 - 1).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) 2\/11 (c) -3 (d) -401\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/6))**(-1\/28) assuming d is positive.\nAnswer: d**(5\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (5 - (3 - -5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/20 + 19\/140. What is the nearest to -1 in -5, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 1, 5*s = 3*f - 0*f - 41. Suppose -112 = 20*p - f*p. What is the common denominator of p and (-3)\/(-12) + (-314)\/40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + -2. Let k be 2 - o\/14 - (1 + -2). What is the nearest to 1 in k, 0.1, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339035993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 18\/5 of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13525 and 20.\nAnswer: 54100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -540, -1077, -1614?\nAnswer: -2151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**5 - 10*y**4 - 14*y**3 - 6*y**2.\nAnswer: -2*y**2*(y + 1)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 17 = 5*h, 3*a + 0 + 19 = -5*h. Let u(j) = j + 0 - j**a + 1 + 7. Let r(y) = 1. Let w(b) = b**2 - 5*b + 2. Let m be w(5). What is m*u(n) - 14*r(n)?\nAnswer: -2*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(3600) + (sqrt(3600) - sqrt(3600)*2))\/(sqrt(5) - (sqrt(5) - sqrt(45)*3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1305 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/8, -0.1, -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233457, -233430, -233375, -233280, -233133?\nAnswer: -232922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(324) + -3 + -3 + 3 + (sqrt(176) - (sqrt(176) + 2)) + sqrt(11).\nAnswer: -5 + 10*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -208, -854, -1948, -3496, -5504, -7978, -10924?\n\"Answer: -l**3 - 218*l**2 + 15*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 243343503 (base 6) in base 4?\nAnswer: 101232311133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28024 + 4192 = 714*a - 49180 for a.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86508 by 9.\nAnswer: -9612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00131 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 944178 divided by -6?\nAnswer: -157363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -449747155 divided by 10595\nAnswer: -42449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18900957?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 1\/14, 0.09?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = q - 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.28? (a) 0.4 (b) 3 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 265886 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(190) + sqrt(190) + sqrt(190)*-2 + sqrt(190)) + -4*sqrt(190)*-2)\/(sqrt(160)*2*1 + sqrt(160))*1.\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33e14 (base 15) to base 8.\nAnswer: -502461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534866?\nAnswer: 2, 267433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1152440016 - -6?\nAnswer: 1152440025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + c**2 - 1. Let m be 9\/(-6)*(-2)\/(-3). Let y(a) = -a**3 + 3*a**2 + 3*a - 3. Calculate m*y(s) + 3*g(s).\nAnswer: -2*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + sqrt(28) + 5.\nAnswer: 5 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2442281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(13\/6)*f)\/f**(-9)*(f**(-5\/2)*f)**(-44) assuming f is positive.\nAnswer: f**(469\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 188439132 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1231 or -266.9?\nAnswer: 1231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -126*d - 39 + 71*d - 680*d**2 + 151*d**2 + 62*d wrt d.\nAnswer: -1058","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - 64. Let j = q - 64. Let m = -72 - j. Solve -2*s + 2*a - 4 = 0, 4*s = -0*a - 2*a + m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-4) + 436\/872. Let u = -1.33 - -1.5. What is the nearest to 0.1 in u, f, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 51\/2, -1\/3, 22 in descending order.\nAnswer: 51\/2, 22, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/(-18) - 4\/(-18). Suppose 0 = -q*u - 0*u. Suppose 2 = 2*h + 5*x + 7, 2*h - x - 13 = u. Calculate the greatest common divisor of h and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*g = -3*g + 2, 5*i + 2*g = 0. Let l(b) = -b**3 + 4*b**2 - 3*b + 1. Let u be l(i). Solve u*x = -1 - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/8))**(-31) assuming w is positive.\nAnswer: w**(31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-889894)\/2828124 + (-4)\/18. Let i = v + 11538559943\/542057100. Let d = 2\/7475 + i. What is the common denominator of 3\/11 and d?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - 162\/42 - 22\/(-42). Let s be 3\/(-2) - (0 + -2). Which is the biggest value? (a) s (b) p (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000053648 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 233665 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2401868 is divided by 25822?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -409*u - 4*u**2 + 128 + 409*u - 128.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000924 rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*d + 4*t, -770*t + 771*t = -608*d + 3643 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -7 + -11 + 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 34*j + 149. Determine p(-29).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 124 + -34. Suppose -o - 11 = 4. Let r be o\/4*16\/(-6). What is the highest common divisor of r and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 12:05 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6840904 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2\/3 - 12852452*q\/3 - 89966968\/3.\nAnswer: -4*(q + 7)*(q + 3213106)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20213 (base 9) to base 5\nAnswer: 411141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/11306 and 19\/12.\nAnswer: 67836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (55020 - 2)*(52\/(-234))\/(4\/(-9)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from xxvxxbobxoooobxxox?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 861.4 + -402. Let h = a + -461. Let q = 1.1 - -3.9. What is the biggest value in h, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 7:10 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-18) - 168\/27. Let q be (v\/4)\/(1\/(-48)). Suppose g = 5*g - q. Calculate the greatest common divisor of g and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 63, 333, 833, 1563, 2523?\n\"Answer: 115*z**2 - 75*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -590.9 rounded to the nearest 10?\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -16*g**2. Suppose 7*d - 2*z - 220 = 3*d, 3*d = -z + 160. Let q = d - -20. Let f(m) = 36*m + 37*m - q*m. What is f(l(v))?\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-6)\/l**(-9\/4))\/(l**(-14)\/l**(-13)))**(12\/7) assuming l is positive.\nAnswer: l**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15 - 6d41?\nAnswer: -6d2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000018128289 to six dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1113*d**3 - 14276 + 5*d**4 - 44 + 1153*d**3 - 8800*d + 320 - 840*d**2 = 0. Calculate d.\nAnswer: -10, -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 8*v**2 + 10*v - 6. Let y be k(7). Find the third derivative of -y*c**6 - 4*c**6 - 13*c**2 + 300*c**4 - 300*c**4 wrt c.\nAnswer: -2280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -145, -266, -389, -514, -641, -770, -901?\n\"Answer: -q**2 - 118*q - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 15736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1288, 1257, 1214, 1165, 1116, 1073?\n\"Answer: s**3 - 12*s**2 - 2*s + 1301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -19*h - 2 - 6 + 14*h**2 + 5*h - 20*h**2 + h**3. What is the remainder when 16 is divided by t(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -3*u + 2 - u**2 + 1\/3*u**3. Is o(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -4\/5 (c) 9 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14454*x**2 + 19913 wrt x.\nAnswer: 28908*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43726578 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5087171*g**2*o + 25*g + 2*o - 7352 wrt g?\nAnswer: -10174342*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1599 in -2, -0.4, -11, -7?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*w + 15 = 0, 12 = 2*x + 2*x + 5*w. Suppose -48 - 36 = -x*r. Calculate the greatest common factor of r and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0, 29021\/3, -2.8 in descending order.\nAnswer: 29021\/3, 0, -0.2, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 927 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*i*q - 150*i + 115089*q - 21551 wrt q.\nAnswer: -9*i + 115089","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6859, 6855, 6849, 6841?\n\"Answer: -s**2 - s + 6861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16979749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -65, 99, 0.02, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-7 - -8) + 0 - -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/536 and -157\/4422.\nAnswer: 17688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 240*j**2 - 1985*j + 11. Calculate l(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 18*n - 20. Let d be i(-16). Suppose -d = 2*o - 8*o. Let b(q) be the first derivative of -9*q**2\/2 + 2*q + 4. Give b(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.0759um to meters.\nAnswer: 0.0000760759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a + 10 + 42 = 0. What is the smallest value in -0.2, -0.01, -0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.028 - 0.035. Let i = h - -0.0082. Round i to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13032012 (base 4) to base 13.\nAnswer: 105cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/75 - -79\/150. Let o = 1.1 + -0.3. Let h = 6.2 + o. Are v and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*v - 11*v + 19*v**2 + (-15*v - 6 + 6)*(0 + 0 + 2*v).\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-2)\/12)\/(-5*(-4)\/8).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 161*c - 156*c - 470. Suppose 46 = y - c. Is y a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*i + 4*i. Let s be 2 + -1 + (2 - 4) + i. Solve s = 3*w - 2*l + 4 - 1, 4*l + 15 = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-21))\/((-10)\/(-245)). Let j(g) = 11 - 6*g - 7*g + b*g. Does 3 divide j(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*12\/21*(-500)\/1000.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -20. Let m = -7.76 - 0.24. Which is the third biggest value? (a) m (b) s (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3)*(-13 + 282*u - 9 + 19).\nAnswer: -564*u + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/9187164 and -103\/42.\nAnswer: 9187164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 3*w**2 - 8*w - 14. Let y be g(-6). Let q = y + 7. Let z = 68 + q. Which is the second smallest value? (a) z (b) 2\/9 (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 504035 (base 7) to base 5\nAnswer: 10213213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 + -51. Suppose 32*g - y*g = 6. Suppose g*z - c = -83, 0*c + 148 = -4*z - 4*c. What is z rounded to zero dps?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c36 - 1c88?\nAnswer: -1052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one sixteenth of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 12*c - 75. Let z = -99 + 82. What is the remainder when 29 is divided by a(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 + -29 - -4) + (-35 - (0 - 0))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 30 = 5*h, 4*h = -5*w - 3 + 15. Calculate the remainder when (-186)\/(-10) + 6*1\/10*-1 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) + 2 + 2)*3)**2 - ((sqrt(1078) - -1*sqrt(1078) - sqrt(1078) - sqrt(1078))\/((sqrt(1584) - sqrt(1584)*1) + sqrt(1584) - sqrt(11)))**2)*3.\nAnswer: 1296*sqrt(2) + 2376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftt when three letters picked without replacement from xxxxggygfgtgtxx?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/((-275)\/(-40))*30\/6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -2\/48195, 2\/51 in ascending order.\nAnswer: -2\/48195, 2\/51, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -669, 182 in descending order.\nAnswer: 182, -2, -669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*g + 792 - 1360 - 2456 = 260*g for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+23\nAnswer: 22.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/21*6\/(-4). Let n = -2059 + 14437\/7. Sort n, x, -1.\nAnswer: -1, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 5:09 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 - 2*i**2 + 3*i**3 + (0 - 1 + 2)*(-i**3 + i**3 + 2*i**3) - 22*i**3 + 20*i - 20*i to l + g*i**2 + r*i**3 + d*i and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 134 - 130. Which is the biggest value? (a) -1\/22 (b) t (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 397*n**2. Let k(s) = 158053*s. Calculate a(k(w)).\nAnswer: 9917358071173*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -2\/13, 57, -2\/11, 2?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (260*x - 10 - 1 - 267*x)*(x**2 - 4*x + 4*x) in the form w*x + h + k*x**3 + o*x**2 and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -7 - (-9 - -3). Let j(a) be the second derivative of -8\/3*a**3 + 3\/5*a**5 + 2\/15*a**6 + y*a**2 + 0*a**4 + a + 0. Factor j(k).\nAnswer: 4*k*(k - 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -329, -1, -1395 in descending order.\nAnswer: -1, -329, -1395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86780881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -3177222.\nAnswer: 5\/3177222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 21*d + 9. Let y(b) = -10*b - 4. Let l(n) = 4*s(n) + 9*y(n). Let h(j) = 6*j**2 + 62 + 60 - 122. What is h(l(r))?\nAnswer: 216*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 8 + 2 + 0*w)*(-4 + 0 + 3).\nAnswer: -2*w - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 + 16 - -354)*(-1085)\/(-20).\nAnswer: 2, 7, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*f + 12. Let n = f - 22. Let o = 2 - n. Calculate the remainder when 32 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7044 by -202.\nAnswer: 3522\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 32. What is the third derivative of -2*y**6 - 6*y**6 - 19*y**i - 23*y**2 wrt y?\nAnswer: -3240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -1, 5 in decreasing order.\nAnswer: 20, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*i**3 - 12*i + 14*i**3 + 4*i**2 + 2*i.\nAnswer: 59*i**3 + 4*i**2 - 10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 8*q - 3. Let n be x(-7). Suppose -3*u + 4 = -4*o, 0 = 4*o - 3*o - n*u + 14. Suppose 0 = -a + o*a - 41. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.9958 - -0.0842. Let g = q - 14. Let x = g - 0.07999939. What is x rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 12*x = 0. Suppose x = 5*l - 90 + 10. Let f = 16 - l. Solve -2*p = -f*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 13) in base 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-60)*(-2)\/3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1888460, -1888459, -1888458, -1888457?\nAnswer: -1888456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*o - 8 = -162*o. Which is the nearest to 0? (a) o (b) 0.9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 10368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 15) to base 5\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 858 + 140. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 592 + 6 + -1 + -2. Suppose -4*g = g - z. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.99 + -3. Sort -2\/7, i, 5 in ascending order.\nAnswer: -2\/7, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 - 19*g**2 + 8*g - 12. Let c(k) = k**3 - 16*k**2 + 37*k + 16. Let l be c(13). Let w be n(l). Let i(h) = h**2 - 7*h. What is i(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5 - 5 = 0. Suppose -q*y = -4*t + 2*y + 12, t = 4*y + 15. What is the third biggest value in t, 0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 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: Collect the terms in -3769534508*u - 2*u**3 + 3769534508*u.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.16? (a) 1\/3 (b) -0.3 (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*o - 8*l = -3*l - 235, -l = o + 1 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15 - 17 - -10 - -9. Let t = -5.4 + 5. Which is the smallest value? (a) 1 (b) s (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 divided by -28.\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by ((-3)\/(-12))\/((-5)\/(-220))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from {u: 7, p: 2, z: 4}.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -70029994 less than or equal to -70029990?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 1 + 3 - y - 1 + 3*y. Is v(8) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (314\/(-12))\/(1\/(-2)). Let u = q + -43. Let o = 10 - u. Which is greater: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 6:30 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 + -79 + 145 - (-4 + 1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14, -64, -146, -260, -406?\n\"Answer: -16*s**2 - 2*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5095 - -75550475?\nAnswer: 75555570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**2 - 7 - 3*m + 0*m + m + 0*m. Let p = -40 + 23. Let o(j) = 11*j**2 - 6*j - 20. What is p*r(y) + 6*o(y)?\nAnswer: -2*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*t**3 - 153*t + 809 wrt t?\nAnswer: -21*t**2 - 153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) -5\/3 (c) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -9 - (-3 - 1 - -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((1*sqrt(1440))\/sqrt(2) - (1 + ((sqrt(40)\/sqrt(4))\/sqrt(2) - sqrt(5)))**2).\nAnswer: 3 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18124 is divided by 9056.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 741, -5, 3.\nAnswer: -34, -5, 3, 741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67.22 + 67.22. What is the nearest to 1 in d, 20, -1\/8, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 398*u. Let l(x) be the first derivative of x**5\/120 + 2*x**3\/3 + 3*x**2 + 111. Let o(h) be the third derivative of l(h). Calculate o(t(c)).\nAnswer: 398*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 2:47 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -12*l + 0*l**4 + 0 + 41\/3*l**3 + 0*l**5 + 3\/2*l**6 + 0*l**2. What is the second derivative of f(q) wrt q?\nAnswer: 540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 405 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -131364*l + 394056. What is n(3)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 divided by -45?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.471098 to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 16*l.\nAnswer: l*(l - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56.88 - 62. Let i = 0.08 - 0.2. Let w = m - i. Which is the closest to -1? (a) -0.5 (b) w (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - c + 0*c - 3*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 20948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -514731582 by -12071.\nAnswer: 42642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 5:12 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*h + 24, 4*f + 0*f - 58 = 2*h. Let a(w) = -20*w**3 - w**2 + 2*w + 2. Let z be a(-2). What is the highest common divisor of z and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17\/18? (a) -0.3 (b) 2 (c) 0.5 (d) -3\/2 (e) 0.058\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 0*g**3 + 0*g**4 - 4*g + 1\/4*g**5 + 0 - 2*g**2. Differentiate c(a) wrt a.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 19*y + 3. Suppose 258*k - 260*k = 0. Suppose -2*j = -k*h + 4*h + 76, -3*h - 4*j = 57. Let d be u(h). Solve -2*o + 5*o = -d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126045507 is divided by 7015.\nAnswer: 7002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 w, and 1 g when four letters picked without replacement from {w: 2, g: 2, k: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 300 = 2*x, -2 = -u + 2. Suppose -d + 4*d - x = 0. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235a (base 13) in base 11?\nAnswer: 3814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.3, 5\/3, 55, -3\/5 in decreasing order.\nAnswer: 55, 5\/3, 0.4, 0.3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 58400297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/39 - ((-880)\/364 + 2).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - v**2 + v. Let o(a) = -4*a**3 + 25*a**2 + 2*a. Determine o(p) + 2*z(p).\nAnswer: -2*p**3 + 23*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*o**6 + 218*o**5 - o**4 + 1542*o**2 wrt o?\nAnswer: -480*o**3 + 13080*o**2 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s**2 - s + 9. Let w(f) be the second derivative of 13\/2*f**2 + 5\/6*f**4 - 1\/6*f**3 + 0 + f. Calculate -7*r(l) + 5*w(l).\nAnswer: l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220839, 883059, 1986625, 3531531, 5517771?\nAnswer: 7945339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461712513?\nAnswer: 3, 131, 191, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 5\/4 (c) 0 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = 2*g - 8*d - 987, -d = -2*g + 985. What is the remainder when g is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.3 (c) 3873 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 24.5?\nAnswer: 24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1224 (base 6) to base 7\nAnswer: -613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 5. Let f = o + -19. Let d be (-4)\/(-16) - f\/(-8). Which is bigger: d or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -o - 4*o. Let d be -6*(3 - 33\/9). Let f(i) = -8*i**2 + 7*i**2 + 3 - 11 + d*i + 3*i. Calculate f(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38759 is divided by 9642?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 + 580*k**2 - 11742*k.\nAnswer: 2*k*(k - 19)*(k + 309)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187863.\nAnswer: 3, 13, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -4121*j**3\/6 - 2*j - 1576. Let t(u) = -2*u. Give t(y(h)).\nAnswer: 8242*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 35*h**4 + 185*h**3 - 160*h**2 - 60*h = 0.\nAnswer: -6, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(-26 + 71 + 69)*(4*h - 2*h + 0*h).\nAnswer: -456*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.515812236 to one dp.\nAnswer: 11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2903d (base 16) to base 11.\nAnswer: -105245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (164\/14)\/(2\/28) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 - 2*c**2 - 34 - 34.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 9:28 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2130044144 (base 5) to base 4.\nAnswer: 101103000123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 412898 = 137098. What is p rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*n**3 + 5 + 38*n**3 - 3 - 4*n**2 + 9*n)*(-2 + 2 + 1).\nAnswer: n**3 - 4*n**2 + 9*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 447000494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2428 - 4*s + 7*s - 2436)*(0 + 3 - 2 - 4 + 3 + 0 + (-2 - 2 + 6)*(0 + 1 + 1) - 2 - 1 + 1 + 4 + 2 - 4 - 1 - 1 + 0 + 3 + 1 - 2).\nAnswer: 12*s - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4460 is divided by 203?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 2*b + 15 = 0, -3*b = -47*r + 50*r + 30 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 479?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 121*x + 5. Let k = -51 - -52. Let m be u(k). Suppose s - 61 = -5*r + 5, 2*s + 4*r = m. Calculate the remainder when s is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 108\/24*(-10)\/(-3). Calculate the greatest common divisor of y and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h + 1033 = -120*h - 1991 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -1. Suppose -n*r = -4*r + 6. Factor -r*c**2 + 4*c**2 + 0 - 1 + 0.\nAnswer: (c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5913, -7218, -8521, -9822, -11121, -12418?\n\"Answer: f**2 - 1308*f - 4606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 2\/(-39)*-15. Let a = m - -11\/65. Let v = -19\/40 - a. Sort v, -6\/5, 2 in decreasing order.\nAnswer: 2, v, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*((0 - -37) + -2*(-3 + 0)). Does x = 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 57\/4*80\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + h + 181. Let d be w(0). Suppose -n = -6*n + 2*q + d, q = 2*n - 72. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -5*h + 940. List the prime factors of h.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 22 = h, 11 + 5 = 4*y. Suppose -3*s + 4 = -h. Suppose s*v - 1 = 3. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/42*-6*(-28)\/(-2). Does 53 divide (-21126)\/(-33) + k\/(-77)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 30*j - 136. Give x(33).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06 - -0.94. What is the nearest to -2 in -0.4, -0.3, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1)\/((-23)\/((-1955)\/102)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c + 2. Let g be (7 + 2)*(0 + 3). Let a = g - 13. Calculate the lowest common multiple of u(-2) and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {s: 13, o: 5}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {d: 1, t: 14}.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -2368*x**7\/21 + 1975*x**3\/2 - 4386*x. What is the second derivative of u(v) wrt v?\nAnswer: -94720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/48*(-6)\/(-8)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12800 and 98240.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*m**4 + 2*m**2 + 21*m**3 + 8*m**4 + 2*m - 9*m**2 - 20*m**3 wrt m.\nAnswer: -600*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, g: 1, u: 9, z: 3}. What is prob of picking 2 u and 1 r?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9294701 to the power of 1\/2, to the nearest integer?\nAnswer: 3049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 761 - 780. Are c and -39 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 4*x**2 - 1. Let l be g(-4). Let a = 5 + l. Suppose -a*j = -12 - 44. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 6, -0.06, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.0441 and 2\/1455 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -274856 + 487945. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19120 + 1309 = 31*q. What are the prime factors of q?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 2*f - 2 - 2*f + 5*f. Let i(m) = 2*m - 1. Let d be i(-2). What is the remainder when 53 is divided by p(d)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 74, 140, 206?\n\"Answer: 66*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 4 - 1) + (-6)\/12?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-6)*-10 - -2. Let a(f) = 3*f + 1. Let w be a(1). Suppose -5*c - w*n + 261 = 0, -4*c - c = 3*n - 257. Calculate the highest common factor of c and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44216.3 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 4*i + 63, 30725*d - 30675*d - 132 = -i for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*n**5 - 19019*n**3 + 76992*n**2.\nAnswer: 240*n**2 - 114114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 3737\nAnswer: -373.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-4 - -10) - (1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 288109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2. Let z(n) = -n**3 + 2*n**2 + 5*n - 7. Let i be z(2). Differentiate 865*c**i + 19*c**4 - 865*c**3 + v + 10 with respect to c.\nAnswer: 76*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*l = -169 + 9, -4*k + 2*l = -106. Let z(y) = y**3 + 13*y**2 + 10*y - 26. Let h be z(-10). Calculate the highest common divisor of h and k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23832 and 5904?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, e: 1, f: 2, j: 5, i: 4, g: 1}. Give prob of sequence eetf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(63)\/((sqrt(9) - sqrt(54)\/sqrt(150) - sqrt(9)) + sqrt(9)))**2.\nAnswer: 10*sqrt(7) + 431\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/11, -5, 0.3, 0.69?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -40231 (base 7) in base 16?\nAnswer: -25fc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*o - 3*o. Suppose 0 = d + 2*w + o*w + 23, -5*d + w + 15 = 0. Suppose 0 = d*f - 25 - 1. What is the highest common divisor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 6:09 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 145958\/5 - 29192. Let g = -5 + 2. Let o = -0.2 - -1.2. What is the nearest to r in g, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -p + 7*s + 84, -15 = 3*s. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 11:36 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -4*g - 57*k + 56*k, 0 = -3*k + 3 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/15360 and 151\/583680.\nAnswer: 583680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qm when two letters picked without replacement from {g: 1, x: 1, t: 1, q: 1, m: 1, z: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 575*z - 2324. Is 33 a factor of d(27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72\/30 + -2 - (-20484)\/15.\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 113660 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t - 152 = -22*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 10221*h + 40866. Calculate t(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 68 = -2*o + o, 3*b = -5*o + 255. Suppose o = 7*i - 29. What is the least common multiple of 1 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*g = 25, 5*o + 4*g + 85 + 29 = 0. Let f be 2 + (-2 - -58) + 2. Let v = o + f. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**4\/16 - r**3\/12 - 4*r - 5. Let x(v) be the first derivative of t(v). Factor x(s).\nAnswer: s*(3*s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3, 657\/5 in increasing order.\nAnswer: 0.1, 3, 657\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f**3 - 2*f**2 + 2*f - 1. Let k be w(2). Let z = 1 - k. Find the common denominator of (-180)\/z + 1\/4 and 67\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (2 + 3 + -6 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 - -45.977. What is a rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209836997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t. Let k(i) = 173*i + 115. Determine k(x(c)).\nAnswer: -173*c + 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 31 = -5*g, 18 = 3*f - 0*g + 2*g. Suppose -f*l + 10 - 2 = 4*o, -4*o + l + 18 = 0. Suppose -72 = o*p - 5*w, -5*w = -w. Round p to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**6\/90 + 3*f**5 + 59*f**4\/12 - 179*f**3\/9 + 18*f + 22. Let g(z) = 0. What is z?\nAnswer: -179, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 = -4*f - 2*a + 168, 3*a - 5 = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(3\/7)\/(a\/a**(-2\/7))*(a**1)**19*(a**(-2\/5)\/a**(5\/3))\/((a*a**3)\/a**(-1)) assuming a is positive.\nAnswer: a**(1163\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -132, 6856, 3 in ascending order.\nAnswer: -132, 3, 6856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.55 + 11.55. Let o = -16 + r. Sort -0.2, o, 6\/7 in descending order.\nAnswer: 6\/7, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-21)*-375 - 2\/7. Let z = l - -230. What is the remainder when z is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2369 - 3*b**3 + 11*b**3 + 2369.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/3 + 0)\/(-2). Suppose 3*j - 17 = -f*t + t, 2*t - 16 = -4*j. Calculate the remainder when j is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1465, -4, 1, -3 in ascending order.\nAnswer: -4, -3, 1, 1465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 0.51, -7, 0.1, -1\/6, 8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -439*p**2 - 476*p**2 - 17*p + 911*p**2 + 10.\nAnswer: -4*p**2 - 17*p + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12326179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*p - 6 = -p, 2*c - 5*p - 12 = 0. Let o be 416\/c + (-2)\/6. Let r = 104 - o. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-208)\/260*((-3)\/(-9)*15)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4022*d*f**3 - 290*d*f**2 - 2*f**3 - 11*f**2 wrt f.\nAnswer: 24132*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5100 + 12?\nAnswer: -5066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 - 77 = -2*z. Let k be 75\/6 - z\/4. Find the second derivative of 13 - 2*h**5 + 16*h - 31*h**5 - k wrt h.\nAnswer: -660*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0218 and 712.\nAnswer: -15.5216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*i**2 + 66*i**2 - 23636 + 0*i + 0*i + 23636 - 27*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.9 + 28.1. Let u = l + -35.5. What is the biggest value in 0.4, u, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 - 64. Let g be (-2)\/m - (5728\/(-52) + 3). Let a = 13 + g. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*z = -407 - 494 + 281 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-10)*(-29)\/(319\/330). Solve 13*w + 4*o = 8*w - s, 0 = -2*w - 4*o - 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 7\/3*s**3 - 2 + 0*s**2 - 4*s. What is the derivative of p(t) wrt t?\nAnswer: 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3606, -3550, -3496, -3444, -3394, -3346, -3300?\nAnswer: -3256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 13, 1404 in descending order.\nAnswer: 1404, 13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**3 + 2*u**4 - 4*u**3 + (-2*u**3 + 0*u**2 - u**2 - 4*u**2)*(-80*u - 16*u + 3*u) in the form z + o*u**4 + s*u**3 + r*u**2 + p*u and give o.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(17)*1*5)**2 - -6*((0 + sqrt(17))*-2 + sqrt(17)).\nAnswer: -46*sqrt(17) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**5\/7 + 24*m**4\/7 - 48*m**3\/7 + 32*m**2\/7.\nAnswer: -4*m**2*(m - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 20\/18109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 + 2*s - 50. Let q be x(-11). Let f = -167 + q. Which is smaller: f or 22?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*k - 71838 + 70156 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjs when three letters picked without replacement from kkjssskyspjkyyksjs.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31.89 + -19.\nAnswer: 12.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -272781165352362 and -0.5.\nAnswer: -272781165352362.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 14*x**2\/3 - 1970*x\/3 - 188 = 0.\nAnswer: -2\/7, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 0*y + 1\/2*y**3 + 0 - 2*y**2 - 1\/24*y**4. Let v be t(7). Put 1\/2, 2, v in decreasing order.\nAnswer: 2, 1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 17, -5, -4 in ascending order.\nAnswer: -5, -4, -0.3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16094.08ml in litres?\nAnswer: 16.09408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/3262900 and -63\/670?\nAnswer: 3262900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -29*h**3\/6 + 35*h**2\/2 + 2*h. Let q = -294 + 278. Is y(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -14920 + 15098. What is the remainder when 441 is divided by b?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 4\/3*v**3 - 1\/60*v**5 + 0 - 7\/2*v**2 + 16*v + 1\/6*v**4. Let n(a) be the first derivative of k(a). What is n(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17871*l + 17869*l = -320. Calculate the smallest common multiple of 464 and l.\nAnswer: 4640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8b80 + 4a?\nAnswer: -8b35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20565625*n**3*q - 28*n**2*q + 5485*n**2 - 4*n*q + 8*q wrt n?\nAnswer: -123393750*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-28)*12\/63*(-21)\/(-12)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - ((-540)\/(-21))\/(-6). What is the third smallest value in -0.3, -0.07, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 4*l = -15*d - 47, -l + 1 = -3*d. Let p(v) be the second derivative of v**3\/3 - 7*v**2\/2 - v. Let t be p(5). Put 0.5, t, d in decreasing order.\nAnswer: t, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 o when three letters picked without replacement from odaaaaldodfaaa?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -16. Suppose 0*r - m*r = 86. Let i = r - -45. Solve -3*x + 1 = -7*d + i*d, 0 = 4*d - x - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 31731.\nAnswer: 698082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u - 1. Suppose -19 = 4*o - 2*h + 3*h, -2*o - 7 = 3*h. Let f be g(o). Calculate the highest common factor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + (18 - (-7 - -3)). Suppose 0 = x*n - 16*n. Solve n*j + 6*j = 18 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-3)*(k*k\/((k**(2\/3)*k)\/k))\/k*k*k*k**(1\/2)*k*k**(-1\/11)*(((k*k\/k**0)\/k)\/k)**(6\/31)*k**2\/k**(-1\/3) assuming k is positive.\nAnswer: k**(269\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, f: 1, n: 7, j: 1, e: 2}. What is prob of picking 1 v, 1 n, and 1 j?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96 - -92. Let c be 218 - (9\/12 + i\/(-16)). Suppose -218 = -0*q - q - 3*z, q + 4*z - c = 0. List the prime factors of q.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, j: 3}. Give prob of picking 1 j and 1 h.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -31, -52, -73?\n\"Answer: -21*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*g = -60. Let p(i) be the first derivative of -g*i - 3*i**5 - 1 + 0*i**5 + 7. Differentiate p(h) wrt h.\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6 + 6 = 0. Let o be 6 + -7 + k + -2. Calculate the greatest common divisor of o and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27.97 + 27.9699998255. What is s rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 0*g**2 + g**2)*(-2*g + 2*g + 2*g) - 2*g**3 + 5*g**3 - 5*g**3 + 21047*g**3 + 2054*g**3 - 5038*g**3.\nAnswer: 18057*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 306079953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**6\/5 - 7*d**5\/20 - d**4\/8 + 490*d**2. Determine x so that m(x) = 0.\nAnswer: -1\/8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**2 - 3*s + 2. Let q be u(3). Suppose -q*y + 2 = -10. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10543 (base 12) to base 9\nAnswer: 32446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*a**4 - 781169*a**2 - 12793887 with respect to a.\nAnswer: 28*a**3 - 1562338*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21667 - 21642 - (-1 + -21).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38.055 + 0.775. Round w to the nearest integer.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0 - 3) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77016?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -572 and -13.79526.\nAnswer: 7890.88872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 - -328.09. Let z = 327.99999789 - d. What is z rounded to seven dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((1 - 1) + 8786)*(1750\/(-140))\/(-25) is divided by 107?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -388, -311, -242, -187, -152?\n\"Answer: -q**3 + 2*q**2 + 78*q - 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8408f (base 16) to base 9.\nAnswer: 1013765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 39*b**2 + 8*b - 401. Give t(38).\nAnswer: -1541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -695, -0.02, 10950 in descending order.\nAnswer: 10950, -0.02, -695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004689 rounded to 5 decimal places?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -120 and 24.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21183.34061 + -21331.34. Let k = v + 148. Round k to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -95. Calculate the common denominator of 1\/(-3) + (-166)\/r and 107\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*q**3 - q**3 + 15*q**3.\nAnswer: 37*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**5 + 7*s**4 + 37*s**2 wrt s.\nAnswer: 60*s**2 + 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.061? (a) 18 (b) -0.03 (c) 19.6 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 + 67 + 77 - 320*h**2 + 217*h - 26*h + 13*h - 26*h**3.\nAnswer: -4*(h - 1)*(h + 12)*(7*h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**4\/5 - 4*s**3\/3 + 92*s**2\/5 - 32*s + 4853. Find j such that x(j) = 0.\nAnswer: -10, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 3*z - 2*z)*(-1 + 1 + 2) + (-3 + 0 + 4)*(-5*z + z - 2*z) + (-3*z + 2*z - z)*(-4 + 2 + 3).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 808499 is divided by 11229.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r + f + 11, 4*r = -3*f + 27. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4652*s. Let d(g) = 7*g**2. Calculate f(d(x)).\nAnswer: 32564*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, c: 2, n: 3, i: 3}. Give prob of sequence nai.\nAnswer: 27\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*h - 16 = -m, 0 = 3*m - 3*h - 9. Let a be 34*(0\/5 - m). Let n = a - 38. Sort n, 1, 5 in ascending order.\nAnswer: n, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266*w - 261*w = -4*d + 3062, -4*d - 3*w = -3066. Suppose 2*a - 1684 = -2*a. Let h = d + a. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14934 - c?\nAnswer: 14927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**3\/2 - 21*d**2\/2 + 45*d\/2 - 91. Factor o(p).\nAnswer: -3*(p - 1)*(p + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-10))\/((64183\/41520)\/(-371)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-16)\/10)\/8\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s - 6 + 7*s**4 - 10*s**4 - 13*s**3 - 3*s + 5 + 2*s**2 to the form g*s + w*s**2 + v*s**4 + u*s**3 + d and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n - n**2 + 2*n)*(2*n + 3 - 3) + (-10*n + n - 23*n)*(34*n**2 - 45*n**2 - 14*n**2 + n) to the form r + t*n**3 + q*n + k*n**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u. Let i(t) be the second derivative of -5*t**4\/12 + 74*t**2 + 9*t - 39. Calculate l(i(m)).\nAnswer: 10*m**2 - 296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, v: 2, c: 1, s: 2, f: 4}. Give prob of picking 2 l and 1 v.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 35 = -2*t. Suppose f = 4*n + 4*f - 43, 0 = 2*f - 10. Suppose -138 = -n*u + 4*u. What is the least common multiple of t and u?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1085 - 569. What is the highest common divisor of o and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**14\/j)**(-3\/38))**(-10\/3) assuming j is positive.\nAnswer: j**(65\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -138.5 - -138. What is the closest to -0.1 in 0.1, -6\/19, j, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19722797 to the power of 1\/4, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 - -43. Let z be (-4)\/(-1) - ((7 - 14) + f). Solve -o + 8*m = 3*m - 6, -z*o - 5*m - 30 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/180 and 151\/265428.\nAnswer: 1327140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/168540 and 161\/41713650.\nAnswer: 83427300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 8781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2544.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2438 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*g + 46 + 444 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a6c9 + 1?\nAnswer: -a6c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1507668.45 rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9679*x + 9674*x + 11 = s, -3*x + s + 5 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**4)\/u**(-10))\/(u*u\/u**(-2)*u)**41)**47 assuming u is positive.\nAnswer: u**(-8930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 85*b + 1434. Determine l(-62).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - (-4 + 7) - -103. Suppose 0 = 5*h - 68 - 12. What is the smallest common multiple of h and j\/9 - (-5)\/15?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1685040 divided by -17?\nAnswer: 99120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -32905 + 2624*b + 32905 as q + t*b and give t.\nAnswer: 2624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - 41. Let f be h\/24 + (-1)\/(-3 - -2). Which is bigger: -3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26964*i - 25867*i + 28858 - 101260 for i.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzbb when four letters picked without replacement from {b: 3, z: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 - 2*f**3 + 4*f**3)*(1 + 4 + 7)*(27*f**2 + 166*f**2 - 99*f**2).\nAnswer: -1128*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1608 and 27224?\nAnswer: 5472024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v**3 - v)*(0 + 0 - 2*v) + (v**2 - 3*v**2 + 0*v**2)*(-12*v**2 + 0 + 0).\nAnswer: 26*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 406*v - 22700. Determine c(67).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - v - 1. Let h(p) = -7*p**2 + 8*p + 8. Suppose -37*g = -110 - 75. What is g*h(f) + 40*j(f)?\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 425*y**4\/4 + 129*y + 30. Differentiate f(q) wrt q.\nAnswer: 1275*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -34\/3, 7897, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/20*0 + 350. Round x to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*(-5*(sqrt(114)*-5 + sqrt(114)) + sqrt(114) + sqrt(114)))\/((sqrt(216)*1)\/(sqrt(225)*-2)).\nAnswer: -220*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 8:08 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -28. Suppose -w = -3*z - 6, -f*z + 2 = 2*w - 2. What is the second derivative of c**w + 3*c + 7*c - 7*c wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 3 + 2*a - 5*a)*(-3*a + 5*a + a)*(-9 + 7*a**3 + 9).\nAnswer: -42*a**5 - 63*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1799a (base 14) to base 7.\nAnswer: 335353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16441 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**4 - 425431*v**3 - 91*v**2 - 2197*v?\nAnswer: 48*v - 2552586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-576)\/(-20) + 16\/(-20). Suppose -23*r + l*r - 4190 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 = -10*q - 66 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + y - 4. Let l be i(0). Let g(v) = -14*v - 4. Calculate the remainder when g(l) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -612.8 - -613. Are n and -0.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 104*m - 109*m. Suppose -9*v + 14*v - 2855 = m. What are the prime factors of v?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*(-8294)\/429\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + -13 + 3 + (61523 - 61493).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 u, and 1 w when three letters picked without replacement from {u: 1, i: 1, y: 2, z: 1, w: 1, p: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 481\/16 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 15*s + 31. Suppose 0 = -3*j + 6 - 15. Let p be 12 - (j\/(-3) - 2). Let n be a(p). Solve -2*q = -8, -4*y + y - n*q + 17 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*f = 2*p - 5, 0 = -f. Suppose p*x - 46 = 79. Suppose x = -2*b + 37. Solve d = -2*a + 12, -3*d = -b*d + 2*a + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**3\/3 + 15844*r**2 + 665104*r\/3 + 380032 = 0.\nAnswer: -23752, -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 times -841?\nAnswer: -2354.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, e: 1}. Give prob of sequence eece.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 37 = -13*q + 8*q, -18 = -z - 3*q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19304 - 15696. What are the prime factors of t?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*x**3 + 76728537422*x**2 - 76728537422*x**2.\nAnswer: 28*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 160*a**2 + 7174*a + 65892.\nAnswer: -2*(a - 114)*(a + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 65*2\/18 - 2\/9. Let a(b) = -b**3 + 10*b**2 - 6*b. Let w(k) = 2*k**3 - 21*k**2 + 12*k - 1. Let x(z) = 5*a(z) + 2*w(z). Does 2 divide x(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**4 - j**4 - j**4)*(-4*j + j + 5*j + j - j + j + (-2*j - j + 2*j)*(2 - 1 - 3)).\nAnswer: 10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2713, -9793, -21587, -38089, -59293?\n\"Answer: n**3 - 2363*n**2 + 2*n - 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2. Let j(y) = -3*y**2 + 3. Let b(h) = h**2 + 5*h + 3. Let i be b(-5). Let w(v) = 9*v**2 - 8. Let p(t) = i*w(t) + 8*j(t). Calculate p(k(d)).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 718.8 plus 3.20478?\nAnswer: 722.00478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86302479?\nAnswer: 3, 28767493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -199? (a) -2\/5 (b) -5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/21)\/((-44)\/(-154))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, -212, -982, -2234, -3974, -6208, -8942, -12182?\nAnswer: -15934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 14*(-3)\/30. Which is bigger: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 545*p - 881*p - 902*p as r*p + x and give r.\nAnswer: -1238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k - 15. Let z be o(6). Suppose -5*q + z*j = -267, 5*j = -3*q + 3*j + 145. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44175 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((44\/11)\/948)\/(9\/324)*6\/36?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101644933 divided by 1493.\nAnswer: 68081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 + 1836\/(-72))*5\/((-30)\/(-148))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43143213230 + -10?\nAnswer: -43143213240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69147?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -8, -1\/6, -1\/3, -2\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3119600 divided by 155980.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1071828 divided by -3?\nAnswer: 357276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.7*0.3\nAnswer: 0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 537*l**2 - 459*l = 0.\nAnswer: 0, 153\/179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/15)\/((68\/10)\/(-1))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -342998, -344120, -345242, -346364, -347486?\nAnswer: -348608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -20*h**4 + 16*h**3 + 4*h**2 = 0?\nAnswer: -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 7) to base 8\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -6. Let d be (-1)\/(24\/(-20) - s). Solve t = -0 - d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -8. Let k be (1\/(-5) - q\/(-10))*0. Suppose k*i + 4666 = 2*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q. Let h(j) = -21*j + 48*j - 20*j. Calculate b(h(y)).\nAnswer: 21*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-20))\/(5\/20). Let n = -11.9 + 7.8. Let p = -9.1 - n. What is the third biggest value in q, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 69761524, 69761525, 69761526, 69761527?\n\"Answer: m + 69761523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-272)\/(-17)*12\/3)\/(-2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 279727193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 27 = -5*l. Suppose -l*m - 813 = -6*m. Let q = -2983\/11 + m. Which is the third biggest value? (a) 0 (b) q (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 4 - (870 + -888) - (9 + 53)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 28 = -z. Let m be -2 + 0 - (-7)\/(z\/(-11)). Which is the second smallest value? (a) -4 (b) m (c) -4\/7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -9*r - 20. Does 8 divide w(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 11, -4, 1\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -16. What is the closest to m in -8, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q + 58 - 100 + 40 + 38 + 4*q.\nAnswer: -q + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**2 + 10*n - 7. Let i(g) = -9*g**2 - 21*g + 9. Let v(x) = -6*i(x) - 11*j(x). Give v(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 - n**3 + n**3 + (-25*n + 6*n + 12*n)*(-2*n + 6*n - 2*n)*(-51 - 14*n + 51).\nAnswer: 194*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 18840640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 52 = -9*p + 7*p, 3*p = 3*i - 51. What is the remainder when 86 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*d - 3*i, 3 = -2*d + 6*d - 5*i. Let t be (-2)\/d - (-74)\/14. Let y = -3 + t. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 363 - -16. Let v = n - 364. Calculate the remainder when 134 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.3 - 0.7. Let q = -3389\/10 + 37057\/110. Let h = 11\/5 + q. What is the biggest value in 4, a, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000071403 rounded to 6 dps?\nAnswer: 0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17)\/3 + (-34)\/(-51). Let m(d) = 2*d + 24. Let u(x) = -3*x - 47. Let o(i) = 5*m(i) + 3*u(i). Let b(q) = -11. Give l*b(z) + 2*o(z).\nAnswer: 2*z + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**2*g - 105*a**2 + 4*a*g + 2*a - 17*g + 1223 wrt a?\nAnswer: -4*a*g - 210*a + 4*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -11?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1846*m**2 - 2. Let o(j) = 5542*j**2 - 7. Let r(q) = 2*o(q) - 7*u(q). Let y(g) = 6*g**2. What is y(r(a))?\nAnswer: 20269464*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -1649*h**2. Let v(n) = -78*n - 73*n - 77*n - 71*n + 298*n. Determine z(v(k)).\nAnswer: -1649*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 3, -5, -1.21?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a + 3. What is i(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 + 25 = -10*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8290 + 2483 - 1733 + 5812)*((-2*n**2 + 4*n - 4*n)*(n**2 - 2*n**2 + 0*n**2) + 1 - 1 - n**4 - 2*n**4 + n**4 + 3*n**4).\nAnswer: 44556*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52 - -1) + 1883 + -1895.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1181817 + 0?\nAnswer: -1181817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1070, 1104, 1198, 1382, 1686, 2140?\n\"Answer: 5*a**3 - a + 1066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 917.7 times 4\nAnswer: 3670.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 26*k - 5. Let n = 91 - -41. Suppose 17*w - 5*w = -n. Let s(u) = 5*u - 1. Let v = -7 - -9. What is v*p(t) + w*s(t)?\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/1675 and -17\/1976366.\nAnswer: 49409150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21032 - -147226\/7. Factor w*b**2 + 8\/7*b - 10\/7.\nAnswer: 2*(b - 1)*(b + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g + 2. Suppose 1 = -t - a, -5*a + 2 - g = 4*t. Let d be (t\/10)\/(4\/(-20)). Solve -5*m - 2*x = -4*x + 7, 2*x = -d*m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 9:40 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -29440, -3, 5, 64, 3, -2 in increasing order.\nAnswer: -29440, -3, -2, 3, 5, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/(n\/(n*n**0*n))*n)*n*n**(-2\/5)*n)**(2\/47) assuming n is positive.\nAnswer: n**(-14\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 234\/317767 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -847.5 - -846.4. Sort 5, y, -0.1, 3 in ascending order.\nAnswer: y, -0.1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -99433, -99462, -99509, -99574?\n\"Answer: -9*y**2 - 2*y - 99422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*v + 12, v - 24 = -2*v - 3*f. What are the prime factors of (v - 11)\/(6\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-15))\/(-2*(-1)\/(-20)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77.1 - -77. Which is the smallest value? (a) i (b) -5 (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + b**2 + b - 1. Let q(x) = 7*x**2 + 6*x - 5. Determine -5*h(o) + q(o).\nAnswer: 5*o**3 + 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 2*n + 7 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*v + 42*v + 311*v + 8736 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/4 and -15\/1556?\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 7*v + 1 + 3*v**2 - 3*v**2 - 16. Calculate the remainder when m(-9) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 7:13 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61251 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3906 divided by 42\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 6*f - 4*i, -3*f = 4*i + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 3*y**2 - 5*y + 6. Determine s(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -247*u**2 - 88177*u + 368. Calculate a(-357).\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*m**3 + 3*m**2 - 62081*m + 3221924 wrt m.\nAnswer: -39*m**2 + 6*m - 62081","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55 by 25998.\nAnswer: 55\/25998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.312 + 0.282. Is b at most 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001563596 rounded to six dps?\nAnswer: -0.000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 97 or 17?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + t = 3*t - 26, -3*t + 7 = -2*h. Suppose -3*w + 12 = -6. Let u be 22\/6 + w\/(-9). Sort h, -3, u in decreasing order.\nAnswer: h, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 490*g - 85. Let v(c) = 35*c - 6. Determine -6*i(z) + 85*v(z).\nAnswer: 35*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 0, 10, 67, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r = 25*r - 14. Calculate the highest common divisor of r and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/60 - 214\/(-10). Let p = c - 16. Suppose 0 = 2*r + p*i - 31, 2*r - 3*i = -r - 6. Solve 9 = r*w - 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a millennium in decades?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 26605773, 26605775, 26605777, 26605779?\n\"Answer: 2*m + 26605771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1947654649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2997\/10 + 300. Let i(n) be the second derivative of n - y*n**4 - 1\/5*n**2 + 0 - 2\/5*n**3. Suppose i(s) = 0. What is s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 2, 5, 11, 0.\nAnswer: -2\/5, 0, 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 - 37. Let s be ((-405)\/18)\/5*6\/9. Which is the nearest to r? (a) 0.06 (b) s (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (21 - 18)\/((-1)\/(-91))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(192\/21))\/((-28)\/24)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -233 + 329. Suppose 3*h - 71 = -5*r, 4*h + 2*r + 20 = n. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide ((-35)\/(-2) + -7)*34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 0 - 2 - 2 + 3 + 2*a. Let c(x) = -x + 1. Determine -2*b(n) - 3*c(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5 - 4262*l**4 - 99040*l**3 - 94776*l**2 = 0.\nAnswer: -22, -1, 0, 2154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddeeddddeeeededdede. What is prob of picking 2 e?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -331697326*j**2*t - 2*j**2 + 11*j*t - 827*j + 4*t - 782 wrt j.\nAnswer: -663394652*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(8)*-1))\/sqrt(10).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.65 - -0.47. Let i = 1457.87247 + -1458.99246949. Let c = u + i. Round c to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*b**2 - 3 + 2 + (-133*b**2 + 114*b**2 - 402*b**2)*(-1 + 4 + 1) in the form s + z*b**2 + m*b and give z.\nAnswer: -1682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10305 + 28324. List the prime factors of k.\nAnswer: 37, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-103)\/(2\/4*-2). Suppose -3*g + 239 = -f. List the prime factors of g.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*k - 93*k + 28 + 11 = 5*c, -3*k = -3*c - 27 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**2 + 13*o + 7. What is u(6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33166191?\nAnswer: 3, 19, 581863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23024 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 - (-1 + (4 - -2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + sqrt(252)*-4)**2 + -1 + (-3*2*sqrt(77))\/(2*sqrt(396)).\nAnswer: 191*sqrt(7)\/2 + 4038","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from uuuuurruouruoruu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 8*k**2 + 17*k + 11. Let c be a(-11). Let w be (-12)\/42*c\/14. What is the greatest common divisor of w and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 w when three letters picked without replacement from ywyyywywyyyyyw.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 + -110. What is the common denominator of -59\/24 and 133\/h*(-27)\/30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63.3 - 701.3. Let w = 638.3 + s. Let o = -5\/12 + 23\/36. Which is the closest to o? (a) -0.1 (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/39903 + 1130657\/2873016. What is the common denominator of h and 59\/144?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 24 + 2 = 0. Let k(x) = x - 7. Let q be k(i). Solve -q*v = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 33. Let t be (-5)\/h*(-24)\/20. Solve -y + t = 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -155 - -302. Let g(q) = -q + 8. Let o be g(5). Find the second derivative of 65*l**3 - p*l**3 + 18*l + 71*l**o wrt l.\nAnswer: -66*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (491 - -26) + -1*(1 + -1). Suppose -25*z = -558 - w. What is the highest common factor of z and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35272 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 10*w - 1. Calculate x(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l**3 + 102*l**2 - 107*l + 316. Calculate r(16).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11891\/39 - 305. Let g = 22\/39 - x. Determine m so that -2*m**2 - 2\/3*m**3 + 4\/3 + g*m + 2\/3*m**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2\/3 + 334*k - 47960\/3 = 0. Calculate k.\nAnswer: -545, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 1. Calculate f(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -a5?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1099930 and 4?\nAnswer: -4399720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 158*j**2. What are the prime factors of t(-1)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 172c29 + -43?\nAnswer: 172bb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13042?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1943025 and 85493100?\nAnswer: 85493100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27939473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(10\/9)*m**(-17)*m**(-2)*(m\/(m\/(m*m**12)*m))\/m assuming m is positive.\nAnswer: m**(-62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.03 (b) -2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8039.\nAnswer: 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkskksskkskkksk. Give prob of picking 2 k and 2 s.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259661?\nAnswer: 73, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**2. Let o(p) = -2*p + 2. Let y(c) = -6*c + 7. Let m(i) = 14*o(i) - 4*y(i). Give b(m(v)).\nAnswer: -64*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 - -2) + 1 - 1) + 1504 + -1499.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2881717843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5}. What is prob of sequence cc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 3*w**2 + 4*w. Let u be v(4). Let m be 1\/(3 - (-21)\/(-6)). Let d be (-5)\/m*(-224)\/(-35). Solve -4*i + d = 0, -3*o + u*i = -i - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - y + 25 = 4, -6 = r - 2*y. Let c be 9\/9*r\/2. Factor 1\/2*b**c - 1 - 1\/2*b.\nAnswer: (b - 2)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1 + 2 + 1 - -86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3782515151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**3 + 36*y**2 - 70*y + 8. Calculate c(-12).\nAnswer: 848","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1298*s - 1805*s**3 + 1300*s - 2598*s.\nAnswer: -1805*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -109*s + 784. Let z be l(7). Solve -z*y + 60 = -87 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 8*s**2 - 18*s - 5. What is the tens digit of j(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(24)\/sqrt(2).\nAnswer: -5 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 23*c**2 - 8*c - 9. Does 25 divide p(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -174*u**2. Let l(y) = y**3 - 9*y**2 + 8*y + 2. Let t be l(8). Let m(k) = 5392*k - 5392*k + 3*k**t - 5*k**2. Give m(g(r)).\nAnswer: -60552*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/(y\/y**(-3\/5))*y**(-4))**23*(y**(2\/3))**(-39)\/(y**(-2)\/y**(-2\/9)) assuming y is positive.\nAnswer: y**(-3781\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**4\/4 - h**3 + 4*h + 7. Factor m(d).\nAnswer: (d - 2)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16578342 and 6028488.\nAnswer: 66313368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -874437449 + -0.4\nAnswer: -874437449.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (5 + -5 + -3 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1466*r + 38 = -4*m + 1469*r, -48 = 4*m + 2*r for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 13*q + 6. Let j(n) = n. Let a(u) = 3*j(u) + p(u). Let r(c) be the second derivative of c**2\/2 + 2245*c. Let x(d) = -a(d) - 5*r(d). Give x(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 29148 = -2*x, 3*s + 2*x = 3*x + 14580. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -3)*1 - 4\/2. Let t be 6\/(-24) - (v\/8)\/1. Which is the closest to -0.1? (a) t (b) -1\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32640*h - 8*h**2 + 32640*h.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(931) + -2)*-6 + -3)*-3)**2 + (sqrt(931) - 5*4*sqrt(931) - sqrt(931) - (sqrt(931) + -3)*3)**2.\nAnswer: -9702*sqrt(19) + 794953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1bb6 + -7?\nAnswer: 1bab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 42238 * 0.14\nAnswer: 5913.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 3\/19 (c) -218\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, d: 2, u: 3, c: 2}. What is prob of sequence gcuc?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 0*z - z + 12, 0 = -4*i + z - 15. Let d(j) = j**2 - 3*j + 1. What is the tens digit of d(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 14, s: 1, u: 5}.\nAnswer: 91\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(32)\/(sqrt(80)\/sqrt(10))))\/((sqrt(90)\/sqrt(5))\/sqrt(6) - (sqrt(432) + -1*sqrt(432) - sqrt(432) - sqrt(432))).\nAnswer: sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g + 5. Let a = 40 + -42. Let o be l(a). Suppose -315 + 1539 = o*s. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(28)\/sqrt(4))**2 + 0 - ((sqrt(28) - sqrt(84)\/sqrt(3)) + 5*(sqrt(7) - (sqrt(7)*-1 + sqrt(7)))**2).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 3, 7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + -5. Let r = -11 - f. Let h(v) = -v + 5. Give h(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2460 (base 10) in base 7?\nAnswer: 10113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 245, -4\/825, 1.1?\nAnswer: -4\/825","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from llllllllllllllwllllw.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x = -20*x - 13*x. Let b = -90 - -20. Let c be (-12)\/b*(-20)\/(-6). Are x and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -31. Put 2, -0.4, -1.5, z in decreasing order.\nAnswer: 2, -0.4, z, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3420 times -1\nAnswer: 3420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2. Let y = -2 + 2.03. Let s = -0.015 + 0.215. What is the nearest to v in s, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3485.1203 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g. Let d(r) = -94*r**2. Determine m(d(p)).\nAnswer: 282*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-479)\/(-3) - 1\/3. Let w = d - 158. Let s = 5\/6 - w. Which is the closest to 0? (a) s (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 + 46.9. Let n = 1 - 1. Put -1\/4, n, k in descending order.\nAnswer: n, k, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 + t**2 - 3*t**2)*(-2 + 7 + 0).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44058504 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 24 = -6*c. Suppose -30 = -2*r - 4*h, 4*r + 4*h - 30 = 2*h. Solve 7 + c = r*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -118*c*q**4 - 2*c*q + 155*c + 2 wrt q.\nAnswer: -472*c*q**3 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2510 - 27180630.\nAnswer: -27178120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*l = n - 87499999, -4*l + n + 70000001 = 0. What is l rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 455668?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 1576*s + 856. Is 8 a factor of z(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(17) + 4 + sqrt(17) + 1 - (-5*sqrt(153))\/sqrt(9)).\nAnswer: -14*sqrt(17) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 37379271 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 701*x = 833*x - 23378124. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 387*j + 7. Let c(z) = 297*z + 5. Let q(x) = -13*c(x) + 10*k(x). Let d(b) = 6*b + 3. What is 7*d(i) - 5*q(i)?\nAnswer: -3*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 9:27 AM?\nAnswer: 287","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 52345*i + 52345*i + 226*i**2.\nAnswer: 226*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -163*d + 2323. Let y be g(15). Which is smaller: y or -10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12689769 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-750)\/(7\/((-69104)\/12)). Round p to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/7 + 31\/35. Let y = 272 + -255.1. Let h = y + -17. Which is the nearest to h? (a) -3 (b) 2\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -408 divided by 1853?\nAnswer: -24\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + c - 52 = 0. Let z be 6\/(-2) + (-1 + 3 - 6). Let i = c - z. Let a(s) = -8*s**2 - 5*s - 2. Let u(g) = -7*g**2 - 4*g - 2. Calculate i*a(t) + 7*u(t).\nAnswer: -t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 220 - 170. Find the second derivative of -49*m - t + 29 + 22 - 40*m**4 wrt m.\nAnswer: -480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -37. Is 16336\/12 + (-3 + 1)\/c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {h: 4, t: 6, e: 7}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/(v**(2\/9)\/v*v)))**(1\/10))**(-2\/57)\/((v**(-1))**39\/(v**(2\/3)*v**2)) assuming v is positive.\nAnswer: v**(106882\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 87*k**2 + 28*k - 86. Is 54 a factor of u(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5 - 10. Suppose 0 = -h*q - 4 + 69. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-3) + 19\/(171\/138507) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30948, 30693, 30438, 30183, 29928?\nAnswer: 29673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 0. Suppose 5*w - b + a*b = 47, -5*w + 3*b = -51. Let h = w + 2. What is the remainder when 32 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t - 10. Let j be m(-7). Factor 8*s**4 - s - 4*s**j + s**2 - 5*s**4 + s**3 + 0*s**4.\nAnswer: -s*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/54*36\/300)\/((-15)\/(-50))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-284*(-725)\/(-1856) + 4\/64*-1)?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s**(-9))\/s))\/s*s\/(s**(3\/7)\/s)*s)\/(s**(3\/8)\/s**3) assuming s is positive.\nAnswer: s**(795\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00050943202 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -524*x + 1767 = -521*x. What are the prime factors of x?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 97.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - s + 2. Give c(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 288669 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r + 6. Let u(s) = -46*s + 1. Let v(t) = 7*t. Let b(q) = 6*u(q) + 39*v(q). Determine 4*b(h) - 5*j(h).\nAnswer: -2*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49277\/2 - 24638. Let g = -0.71 + 1. Which is the biggest value? (a) -1\/7 (b) h (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3312.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 16*g**2 + 4*g - 1. What is the hundreds digit of q(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, x: 1, i: 4, z: 2}. What is prob of sequence zzi?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 2*q**2 - 3*q. Let c be l(-3). Let p be (-3 - 1)\/((-26)\/3). Let y = 12\/143 + p. Are y and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19737*x**2 - 3*x**3 - 23 + 2*x**3 + 19738*x**2 + 2*x**3 as b*x**3 + h*x**2 + n*x + y and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 5*g**8\/48 - g**5\/20 + 5*g**4\/12 + 38*g**2. What is the third derivative of h(p) wrt p?\nAnswer: 2100*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/752 and 16\/(-168)*3 - (-1116)\/5376.\nAnswer: 3008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 129 = x + 182, 3*x + 625 = -2*j. Let z = j + 428. What is the greatest common factor of z and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5622000 rounded to the nearest one hundred thousand?\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -665 (base 9) in base 14?\nAnswer: -2ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1 - (-15)\/(-35) - 1333320\/(-70)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27363280?\nAnswer: 2, 5, 7, 131, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109603479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -444 and 3.\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 60? (a) -1\/8 (b) 5 (c) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -9) + 3 + -1 - -5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 6:43 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + -21 + -4 - -13. Let b be (-4)\/(1 - -1) - -2. Put b, 3, z, 5 in decreasing order.\nAnswer: 5, 3, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010010406 rounded to seven decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 70393399533 from -2.\nAnswer: -70393399535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -25*a - 73. Let u be h(-3). Solve 2*b = 2, u*j - 5*b - 1 = -0*b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 3. Is (-326)\/d - 6\/27 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1181 divided by -1181.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + -2 + -3 + 5. Suppose -s*m = 3*a - 4*m - 13, 0 = -a + m + 3. Solve v + v - 30 = a*z, -z = v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27 + 62*z - 124*z + 59*z)*(-6*z + 4*z - 4*z) to u*z + m*z**2 + h and give u.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111145 to the power of 1\/2, to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.4328, -0.4, -0.04?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*2*sqrt(6336) + sqrt(6336) + 4 + 2*-2*-2*sqrt(6336))**2.\nAnswer: 2112*sqrt(11) + 766675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20101 - -211220012?\nAnswer: 212010120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252 and 5944398?\nAnswer: 249664716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49998 (base 10) in base 5?\nAnswer: 3044443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199912198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149, -103, 25, 277, 695, 1321, 2197?\nAnswer: 3365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10000023211 (base 4) to base 6\nAnswer: 34253541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 88 = -3*g. Let d be 2\/2*0*2\/g. Let s be 2\/(-5) + (-7)\/(-5). Solve d = 3*t + s + 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f + 2655 = -14*f. What is the remainder when f is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - 52. Let q be 7\/(-3) + (n\/3 - 0). Which is the nearest to -2? (a) q (b) -3 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126416.3 grams to kilograms.\nAnswer: 126.4163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2162 is divided by 711.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, o: 1, k: 2}. What is prob of picking 1 o and 1 k?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzgo when four letters picked without replacement from tpphppoghzggpppzp.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14070476 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 58910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/7)\/(276\/322)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 7*w**2 + 2*w + 8. Let s be g(7). Let q = 28 - s. Let o = 18 - q. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 817031 or 817028?\nAnswer: 817028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16671*x + 16608*x + 2327 + 67 for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2053004 is divided by 291?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/6)\/((-2)\/6). Suppose 5*m - 10 = -0. What is the first derivative of 0*i**t - 2*i**2 - 1 + i**m wrt i?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + v = -3*b + 41, -5*v + 10 = 2*b. Let n(p) = -9*p**3 - 133*p**2 + 7*p - 210. Let x be n(-15). What is the highest common divisor of b and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 24759?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4647*n - 4680*n - 561 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yybbybyybyyyytbyy. What is prob of picking 2 y?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6137 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -89*n**3 - 19*n**2 + 10*n - 17. Determine f(3).\nAnswer: -2561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1026 by -15089.\nAnswer: -1026\/15089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4072 = 4*t, 2442 = 3*i - 5*t + 3*t. What are the prime factors of i?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w + 4. Let i be b(3). Suppose -i = 2*k - 8. Put k, 2, 11 in increasing order.\nAnswer: k, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2122 (base 3) to base 6.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 7:56 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7048414*g*u**3 - 28*g*u**2 + 53*g*u + 5*u**2 wrt u.\nAnswer: 42290484*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 6*f**2 + 5*f - 10. Let z be d(-7). Suppose 0 = 5*n - z*n + 5. Let i(l) = -l**2 - 5*l - 3. Calculate i(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30002*r**3 - 1724*r**2 + r?\nAnswer: -180012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 298087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - -5. Let l(f) = -f**3 + 13*f**2 + f - 1. What is the tens digit of l(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**3 - h**2 + 2. Let l be a(2). What is the tens digit of -3 + 339\/11 - (-4)\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t. Let q(b) = -3*b**2 - 3*b + 1. Give -4*n(x) + q(x).\nAnswer: -3*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/16*2)\/(36\/16)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + n + 327 = 0, -11*k + 10*k - 5*n = -5. What is the greatest common factor of 14380 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o**(2\/11)*o*o*o)))\/(o\/(o\/(o*o**30*o*o))*o))\/(o\/o**28)**(12\/5) assuming o is positive.\nAnswer: o**(1869\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36321 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 + -8)*1\/2. Suppose c = -13*t + 16*t - 1191. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142727098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -15. Let g(v) be the third derivative of 0*v**4 - 2*v**2 + 1\/60*v**6 + 0*v - 1\/30*v**b + 0*v**3 + 0. Factor g(i).\nAnswer: 2*i**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 426848\/14 + (-10)\/70. Let j = q - 78489. What is j rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/((3\/351)\/((-10 - 1)\/(-66)))?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 15 + 4 + 426 + -434 + -12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbt when three letters picked without replacement from tttbtbttbb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 630 = 4*k, 76 = 5*x + k - 1463. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -426*b + 19. Is n(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**3\/6 + 3*m. Let y(r) = 5*r**2 - 3*r. Let c(z) = -16*z**2 + 10*z. Let h(b) = 3*c(b) + 10*y(b). Calculate q(h(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84032 + -33049. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38187851203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 1026*x + 1026. Let z be h(-1). Solve z = 7*w + 42 - 56 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6664 and 123714304?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0 (c) 20 (d) -0.3 (e) -1.01 (f) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -s. Let r be (3 - 3) + -9 + s. What is the tens digit of (6\/r)\/(4\/(-150))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2 - z - 1. Suppose 0 = 63*i - 62*i - 9. Calculate the least common multiple of g(2) and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1427639248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -16*h + 1. Let n(p) = 3*p**2 - 2*p. Let q(l) be the second derivative of l**4\/3 - l**3\/2 + 92*l. Let m(x) = 3*n(x) - 2*q(x). Determine m(f(c)).\nAnswer: 256*c**2 - 32*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 1. Let g(h) = h**3 - 3*h**2 + 7*h. Let o be g(p). Suppose b = 6*b - 85. What is the greatest common divisor of o and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 104 = 23*x - 36*p + 37*p, 0 = 3*x + 4*p - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (216\/45*-1)\/((26\/195)\/(-2))\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 156*j**5 - 85*j wrt j?\nAnswer: 3120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1877, -1\/3, 0, 1\/2, -8 in descending order.\nAnswer: 4, 1\/2, 0, -1\/3, -8, -1877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -5*a - 3*j + 290, 247 = 5*a + j. Suppose -3*i = -a - 127. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*k - 6 = -0*k, -k = -3. Let f(s) = s**2 + s. Let a be f(r). Let w(y) = a*y - 4*y**2 - 2*y + 2*y. Let x(u) = -u. Give x(w(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6)\/(8\/(-112))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -113 - -100?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (3 - 1 - (-1 + 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 12 + 4 = 0. Let z be ((-6)\/y)\/(3\/(-6)). Suppose -3*u + z - 21 = 0. Sort u, -3, 5.\nAnswer: u, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 584610 and 8580?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10131 (b) 3 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5 + (-1 - 2 + 2)*(1 + 0 + 0) - 1 + 2 - 2 + 3 - 5 + 1)*(2*i**2 + 0*i + 0*i).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 1:20 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -40*d - 100. What is the remainder when 38 is divided by w(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 145*x + 145. Let h be q(-1). Solve h = -8*n - 4*n + 17*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 5*j**3\/3 - 523. Let w(i) = -30*i**2. Give l(w(z)).\nAnswer: 4500*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/2597 and -23\/245?\nAnswer: 12985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*t = 271, -148 - 188 = -5*a - t. Solve 29*d - a - 20 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.271485 rounded to 2 decimal places?\nAnswer: -76.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 5:29 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) 2\/7 (b) -10\/177 (c) 1\/5 (d) 0 (e) 503 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(108) - 4*sqrt(108))*-1 - (2*sqrt(108)*1 - sqrt(108))) + 2)**2.\nAnswer: -288*sqrt(3) + 15556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 7*p - 31 = 0, -5*p = 7*a - 3*a - 101. List the prime factors of -3*(-56)\/a - -1823.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8123?\nAnswer: 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1 + 8 = 0. Let f(g) be the third derivative of g**4\/8 - g**3\/6 + 207*g**2. Calculate the least common multiple of f(o) and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*i**2*n**5 + 4*i**2*n + 3*n**5 - 32*n - 51 wrt n?\nAnswer: 420*i**2*n**3 + 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(342)\/(2*sqrt(9)*-5))\/((sqrt(14)*-1)\/sqrt(7) - (sqrt(242) + 1*sqrt(242))).\nAnswer: sqrt(19)\/230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 84 - (77\/(-28) - 15\/12)?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 20.09. Let a = -0.01 + k. Is -4 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 5*g - 18*g**2 + 33*g**3 - 36*g - 24*g**4 + 3*g**5 + 42*g**2 = 0 for g.\nAnswer: -1, 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-9 - 0) - (122 - 141)) + 1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5166? (a) -1\/62 (b) -1\/2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 186*r**2 + 1930*r + 875. Calculate f(-175).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15230116.\nAnswer: 2, 11, 346139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/3*(-1 - -7). Is l*6\/1*-1 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(33\/16)*1584\/2016?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 2*n + 8, 0 = -4*u - 3*n + 2*n - 4. What is the lowest common multiple of -3 + 11 + u + 0 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(78)*2)\/(sqrt(72)\/sqrt(3)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**5\/15 + l**2 + 20*l. Let n(d) = -4*d**2 + 5*d**2 - 5*d**2. What is t(n(p))?\nAnswer: -64*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 25, 0.65, 1, 2\/19, -10?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100091 is divided by 100028?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1307.899 to one decimal place.\nAnswer: -1307.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.363709367 rounded to four decimal places?\nAnswer: 2.3637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489*v - 28 = 496*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -26 + 50. Solve -u = 5*z + 25, -b*z + 3*u - 5 = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*r**2 - 300*r**2 - 1 + 1 + 108*r**2 + 95*r**2.\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 s, and 1 b when three letters picked without replacement from {v: 6, b: 1, i: 1, s: 1, e: 4}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -10001101001000011?\nAnswer: 10001101001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21095, -42140, -63185, -84230?\nAnswer: -105275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3428586 centuries in decades?\nAnswer: 3.428586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z + 2. Let c be r(2). Let x(w) = -11*w + 1 - 21560*w**2 - 9 - 21557*w**2 + 43116*w**2. Give x(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or -149563?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16, 0 in decreasing order.\nAnswer: 0, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18111061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2546 - -1882. Are -663 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + w. Let p be r(-1). Suppose -12 = d - 4*j, -4*d = -p*d + 5*j - 36. Sort 1, -3, 2, d in increasing order.\nAnswer: -3, 1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**5\/20 + i**4\/2 + 5*i**3\/6 + 4*i**2 + 28*i. Let b be s(-5). Let k(h) = h**2 - 11*h + 10. Determine k(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t**4 + t**4 - t**4)*(0 + 2 - 4)*(1 + 2 - 5) to the form i*t + f*t**4 + o*t**2 + s*t**3 + l and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9922230 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1376 is divided by 258.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 62123433 (base 7) in base 2?\nAnswer: 10011110101011000110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**2))**(-2\/3))**(16\/9)\/((u**(-2))**(-33)\/(u**(6\/7)*u**(-6\/7)\/u*u)) assuming u is positive.\nAnswer: u**(-1718\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003378895012 to seven dps.\nAnswer: -0.0033789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.11 + -5.11. Let m = y - -7. Let d = 0.1 - 0.2. Which is smaller: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109073.\nAnswer: 109073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 4) in base 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + p**2 + p**2)*(312*p**3 + 227*p**3 - 465*p**3) + (-2*p**4 + 2*p**2 - 2*p**2)*(0*p + 0*p + p).\nAnswer: 220*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6718*i - 6875*i - 6908 for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40386160?\nAnswer: 2, 5, 23, 47, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + 40. Suppose 2968 = 3*d + h, d - 906 - r = -h. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 3:46 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/255 in 1, 0.08, -2\/11, -0.2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 13*q**2 + q - 3. Suppose 7 = g - 2*c, -c + 6*c = 10. Let p be o(g). Let i = 404 + p. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -1720*i**2 - 16*i. Let n(v) = -5157*v**2 - 45*v. Give 6*n(b) - 17*p(b).\nAnswer: -1702*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 2*g + 4. Let j be f(-3). Let n(y) be the third derivative of y**4\/24 - 111*y**2. Let x(b) = -4*b - 2. Give j*x(p) - 2*n(p).\nAnswer: -6*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 4*w + 51 - 22)*(-1 + 6 + 0)*(-1 + 3 - 3) + (1 + 1 - 1)*(0*w - 2*w + 0*w) to r*w + x and give x.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 10*m - 10. Let o = 14 + -22. Let j be u(o). Sort 2, j, -1 in descending order.\nAnswer: j, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**30*v*v\/(v**21*v*v) assuming v is positive.\nAnswer: v**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2935.9 + 2936. What is the second biggest value in o, -2\/11, -1\/5, -3\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {b: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2797 - 3.2797. Which is smaller: 1653 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 4520, 0.164, 5?\nAnswer: 0.164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -272732\/11 - -24796. Suppose -6\/11*t + 0 + c*t**4 + 6\/11*t**3 - 24\/11*t**2 = 0. Calculate t.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12168658, 48674641, 109517948, 194698579, 304216534, 438071813?\n\"Answer: 12168662*i**2 - 3*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190968, 191541, 192112, 192681, 193248, 193813, 194376?\nAnswer: 194937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0232 and -47852?\nAnswer: -1110.1664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3765 and 191573240?\nAnswer: 1255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1782.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2855\/28 at least -103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2685 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -9*y**2 + 258*y + 4054. Give s(40).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 30066 (base 7) to base 16\nAnswer: 1c53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l**2 - 1. Let c(s) be the second derivative of -s**4\/6 - 13*s + 1. What is c(m(n))?\nAnswer: -72*n**4 + 24*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -126214*s + 1262173. Give c(10).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2100 and 840?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/180 and 157\/11970?\nAnswer: 23940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.08 (b) 1234 (c) -1 (d) -1256\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-15)\/(-63))*48\/64?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n - 258*n**2 + 40*n + 256*n**2.\nAnswer: -2*n**2 + 34*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -10*l**2 - 144*l + 455. Give x(-17).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002126051 rounded to 7 decimal places?\nAnswer: -0.0000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t**2 - 12*t + 40. Give b(3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -14*r - 78. Let z be w(-6). Let u(j) = z*j + 4*j - 10*j + 4 + 2*j - 3*j. Determine u(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 4) + -12 + (11 - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + (2 - (4 - 6)). Put -4, u, -0.2 in increasing order.\nAnswer: -4, u, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 5*a - 3. Let v = -10 + 19. Let b = v + -3. What is the units digit of d(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8098 - 8099. Let j be (0 - -2)*6\/(-3). Put j, 2\/19, c in descending order.\nAnswer: 2\/19, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*v = 2*t - 77*v - 32774, -v = 4*t - 65562. What is the lowest common multiple of t and 10?\nAnswer: 16390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 348.2 - 276.2. What is the second biggest value in o, 2\/5, -0.1, 1\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42 - 0?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5 - 8*o - 19*o + 7 - 64*o**2 wrt o.\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 24 = m, -m + 2*i = m + 2. Let j(l) = -l**2 + 9*l - 3. Let x = -10 - -14. Let k be j(x). Solve 0*h - h - k = -4*u, 4 = -m*h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 31*g**2. Let r(m) = -83*m. Let t(a) = -146*a - 2. Let s(b) = 2*r(b) + t(b). Determine y(s(d)).\nAnswer: 3017664*d**2 + 38688*d + 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336\/(-539) - (21 + (-2030)\/98).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -9613?\nAnswer: -5\/9613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 357449551 to the power of 1\/2, to the nearest integer?\nAnswer: 18906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (0 - -1 - 0) - 0 - (19587 - 19590)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) - (sqrt(512) - sqrt(32))) + 2)**2*-2 + sqrt(512)*2*4 + 2.\nAnswer: -262 + 192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3644510, -3644514, -3644526, -3644552, -3644598, -3644670, -3644774?\n\"Answer: -k**3 + 2*k**2 - 3*k - 3644508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2928160 (base 10) to base 11.\nAnswer: -171aa74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7a8 (base 14) to base 9\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n - 2 = 0. Suppose -2*q = 5*r + 9, 7*r - 11*r = 12. Solve -w + q*w = -n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (139\/(-3197))\/(247\/(-874)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110001 (base 2) in base 11?\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.28 - 0.18. Let i = d - 1.1. Suppose -8*o = -3*o + 25. What is the biggest value in i, o, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.3 (b) -1.4 (c) 0.67 (d) 5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 - 3674*t + 7353*t + 8*t**3 - 136 - 3679*t to s*t**2 + q*t**3 + y*t + o and give o.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**2 - 24*s + 52. Let a(v) = -v + 2. Let r(c) = 44*a(c) - 2*u(c). What is the derivative of r(y) wrt y?\nAnswer: 16*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*y - 3*d = -48*y + 7, 4*y + 3*d + 1 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*o = 32*o. Let m be 7 - 1\/((-1)\/(-2)). Let q = -8 + m. Which is bigger: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 0*q + 0*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/1*68\/102. Let w(g) = 6*g**3 + g**2 - 1. Let u be w(1). Let f = u - 3. Solve a*p + 2 = -3*z - z, -2*p = -f*z - 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -347, -1010, -1673, -2336, -2999?\nAnswer: -3662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -3\/5 (b) -0.58 (c) 3 (d) 3\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -64*h + 62*h. What is the remainder when h is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28955 is divided by 5771.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 123?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -1, 4\/9, 2\/19.\nAnswer: -5, -1, 2\/19, 4\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (2 + -2 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*t + 10, 20 + 4 = 4*t - 3*j. Suppose t*d + 24 = 8*d. What is the common denominator of 79\/14 and 107\/(12\/3 + d)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 112 = 82. What is the remainder when x is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9989 is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12126 rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-18) - 484716\/(-54). Suppose -2*d = 5*k - 11211, -5*k = -k + 4*d - m. Suppose 0*u - u - 3*o + 752 = 0, -3*u - 4*o = -k. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 3662*v - 253780. Give n(-68).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 245 - 26533?\nAnswer: -26255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 = 6. Let w be 9 + -6 - n\/(-2). Let y = w - -29. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.122267 * 51.\nAnswer: 6.235617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 5*t**3 + 1200*t**2 - 4860*t + 4880 = 0?\nAnswer: -244, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 2:57 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -1\/144*l**8 - 2\/9*l**5 - 1\/9*l**3 + 0 + 0*l - 5\/36*l**6 - 3*l**2 - 5\/24*l**4 - 1\/21*l**7. Factor w(h).\nAnswer: -(h + 1)**4*(7*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n + 0*n + 2*n + (5 - 2 - 4)*(-43 + 43 + 9*n) - 5*n + 2*n - n + (-9 + 4 - 1)*(4*n + 0*n - n).\nAnswer: -33*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/36? (a) -5 (b) -3076 (c) -0.4 (d) 5 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/6642 and -38\/205?\nAnswer: 33210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*p + 214*p = 630*p + 141*p - 6768 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 32*q + 3 - 38*q to the form r + v*q and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 0*v + 15*v**2 - 4*v + 0*v + 3. Is w(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1378226068?\nAnswer: 2, 344556517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 36425011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 895710, 895706, 895702?\n\"Answer: -4*h + 895714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -3*x**3\/2 - x**2 - 195*x. Let l(o) = -o + 8. Calculate 4*l(f) + 3*s(f).\nAnswer: -4*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - q = -1670, 26*g - 21*g + 5*q = 1670. Is 29 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480157 a multiple of 360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1518.109 + -0.109. Let i = o + -1518.000001338. What is i rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 2*n**2 + 48*n + 72.\nAnswer: -2*(n - 6)*(n + 2)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*q**2 + 3*q - 85*q**2 - 3*q.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - 47) + 14 - -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + a + 2. Let f be v(0). Let r be (-3)\/(-3)*(2 - 0). Let b(j) = 2*j**2 - r*j - 1 + 3*j - j**f. Calculate b(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - c - 1. Let t(n) = -n**3 - 3*n**2 + 2*n + 7. Let m(a) = -2*l(a) - t(a). Let r(d) be the first derivative of m(d). Factor r(j).\nAnswer: -3*j*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x - 1268 + 656. Let k = x + 97. Which is the third smallest value? (a) k (b) 0.3 (c) 0 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5725545 by -14.\nAnswer: -817935\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(3\/4) - (-780)\/(-150).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -466*f - 3*h = -464*f - 90, -135 = -3*f - h. What is the remainder when 3598 is divided by f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 349261\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**5 + 157797*m**4 - 409*m**3 - 12*m**2 - 4216*m - 6218 wrt m?\nAnswer: -60*m**2 + 3787128*m - 2454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 79?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4752296814 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -6. What is the nearest to 2\/5 in -5, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6920004*a - 4. Let t be o(-1). Suppose -11*v + 9*v = -t. What is v rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*c - 1 - 12*c + 0 + c**2 as i*c**2 + j + p*c and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c - 1 - c - 9 + 6 + 8*c**2. Is j(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20927, 20935, 20937, 20927, 20899?\nAnswer: 20847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*m = -177*m - 23*m + 3289 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762270 a multiple of 614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 630390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h + 2*h)*(6 - 6 - 6*h) - 3*h**2 + 0*h**2 + 0*h**2 + h - h - h**2 - 6*h**2 - 7*h**2 + 6*h**2.\nAnswer: -23*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 3*s - 7*s. Suppose -2*h + 6*h = 84. Suppose -44 - s = -3*c + w, c - 2*w = h. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127952*a**2 + 64754*a**2 - 177521*a**2.\nAnswer: -240719*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**2\/4 + 4284363*u\/2 = 0.\nAnswer: 0, 8568726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hyzyyyzzdzzhzuhzd.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(252) + sqrt(252) + -2 + 0))**2.\nAnswer: -192*sqrt(7) + 4048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 171063049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1776312763 to the nearest integer?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3 - 902*m**2 + 165051*m + 1199898 = 0 for m.\nAnswer: -7, 267, 642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - 27. Solve 0 = 2*r - 6*r, -a = 5*v + 5*r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 3*p = o, 3*o = 76*p - 75*p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 - 9*b + 5. Let f(g) = g**2 + 8*g - 14. Let d be f(-9). Let l be s(d). Let v = -25 + 28. Solve l = v*o - 12 - 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.79 + 0.21. Let c = z + 75. Let k = -85.29 + c. What is k rounded to 1 decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3192 and 2628.\nAnswer: 699048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4784920513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, 2\/13, 2\/15, -0.3, -3, -24 in increasing order.\nAnswer: -24, -3, -0.3, 2\/15, 2\/13, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88031535 is divided by 9781281?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47641?\nAnswer: 11, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4 + (sqrt(17) - ((sqrt(136) + 2*sqrt(136))\/sqrt(8) + sqrt(17))**2) + (2*sqrt(17)*5)**2 + 1.\nAnswer: sqrt(17) + 1435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -305248480 divided by 15262424.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1010107.14 + -290.2.\nAnswer: -1010397.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7055 - 6830. Calculate the remainder when h is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -266, -535, -808, -1085?\n\"Answer: -2*j**2 - 263*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2059747186?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5\/2, 0.0574, -4, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 g when three letters picked without replacement from gggggmmg.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13681.\nAnswer: 13681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(539)*-2 - sqrt(539)) + -4 - ((sqrt(66) + -6*(sqrt(66) + 1*sqrt(66) - sqrt(66)))\/((sqrt(540) - sqrt(60))\/sqrt(10)))**2.\nAnswer: -84*sqrt(11) - 291\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 795, 1929, 3761, 6639, 10911, 16925, 25029, 35571?\nAnswer: 48899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.583 rounded to the nearest integer?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 n when two letters picked without replacement from rrntr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86165675?\nAnswer: 5, 257, 13411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -32 - 18. Suppose 0 = -x*l + 12*l - 92. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 + 4*w + 3. Let n be y(-3). Let p(b) = -10*b + b**3 + 7 + 4 - 15*b + 11*b - 7*b**2. What is the tens digit of p(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r + 7 - 31. Let p = -255 - -258.89. Let v = p - -0.11. Which is the second biggest value? (a) -0.1 (b) r (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -13. Suppose d = 5*h + 4*d - 6, -4*h + 9 = d. Suppose -h*a + 2*w = 6*w - 68, -u*w = -20. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 17. Suppose -3*p + t = -p. Suppose 63 = m + p. Calculate the remainder when m is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1499, 6016, 13545, 24086?\nAnswer: 37639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102266029 to the power of 1\/2, to the nearest integer?\nAnswer: 10113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28329e + -1?\nAnswer: -28329f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6375 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 57460, 57455, 57440, 57409, 57356?\n\"Answer: -j**3 + j**2 - j + 57461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, 0.4, -8, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + (-2)\/(-4))*12. What is the remainder when 26 is divided by (b\/(-8))\/((-10)\/120)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 6:39 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/42 and -29\/630.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/((-2)\/2) - 1. Let z be 18\/x*37\/2. Let s = z + 47. What is the greatest common divisor of s and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 205 + -204.999265. Round v to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1344199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -5. Suppose -f - 5*f + 198 = a. What are the prime factors of f?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 156 = -8*q, 5*t = 3*q - 894 + 860 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 - 121. Let j = 69 + p. Suppose j = 5*z - 24 - 36. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -64798 and -46.\nAnswer: 2980708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6899.\nAnswer: 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -622811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.75842 - 0.5?\nAnswer: -52.25842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22102201 + -3?\nAnswer: 22102132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -3*x - 40. Let t(p) = p**3 + 4*p**2 + 2*p - 1. Let n be t(-3). Let i be x\/(-6)*(-3)\/n. Solve 0 = -o, 2*r + i - 10 = -3*o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k**3 + 4*k**2 + 5*k + 5. Let o be d(-2). Let b = -35 - o. Calculate the common denominator of (b\/18)\/(8\/564) and 131\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m**(-2\/3)*m*m*m*m**12*m)\/(m**4*m**(-17)*m) assuming m is positive.\nAnswer: m**(91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1479*v**3 - 518*v**3 - 490*v**3 - 496*v**3.\nAnswer: -25*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgpoogkpookoorp. What is prob of picking 2 k?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3099?\nAnswer: 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -52. Let x be (3\/(l\/(-183)))\/((-2)\/4). Let s = -59 + x. Solve -b - s*b + 3 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 15. Let h be d(-10). Let i be (-4)\/(-6) + (-24)\/9. Let y be (-2)\/(-1) - i\/(-2). Put h, 0, y in ascending order.\nAnswer: h, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 10. Suppose -l = -3*g - 4, 2*g - 2 = -l - a. Let u = 4 + l. Solve -7*o + 2*o = -u*z - 21, -o - 3 = -4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 10. Let u be h(-13). Suppose -1 = -4*x + u. Suppose 7 - 1 = -3*y. Put -1, y, x in increasing order.\nAnswer: y, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(2\/9))\/u*u)**(-1\/19))**(-31)*(u**(2\/5)\/u**(1\/2))\/(u**0\/u**(-4)) assuming u is positive.\nAnswer: u**(-4841\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1511\/9138 + -2\/1523. What is the nearest to 1\/3 in 0.5, k, -103, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 220 = -a. Suppose -4*n + 16 = 0, -2*w + 2*n = -5*w + a. Solve -3*k + w = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -24*h**3 + 2*h**2 - 1. Determine d(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2788313 and 541420.\nAnswer: 55766260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*s - 5*a, -4*s - 4*a + 8 + 20 = 0. Suppose y + s = 6. Solve -2*z - 2 = 3*d - 4*d, 0 = 2*d + y*z + 14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 13*k + 63. Let u(n) = 2*n + 9. Let y(b) = 3*l(b) - 21*u(b). Let j(t) = t**2 - 6*t. Determine j(y(i)).\nAnswer: 9*i**2 + 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -6. Suppose 3*v + 0*v = s, 9 = -p*s. Let d be (v + -219)\/(9\/135). What is d rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2 + 3*k**2 - k**2 + 6*k - 4 - 1. Is l(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 5:07 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17.304 and 47.\nAnswer: 29.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1640 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -1 - 53*s - 3\/16*s**2 - 3\/40*s**5 + 1\/4*s**3 + 1\/32*s**4. Let r(t) = 0. What is t?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14, 17, 20, 23?\n\"Answer: 3*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 15. Suppose -2*m = 5*q - 26, 3*m + 4 - 18 = 5*q. What is the lowest common multiple of d(m) and (2 + -3)*-1*5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijxnd. What is prob of picking 1 x, 1 n, 1 i, and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73*u + 81 wrt u.\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -55 (base 13) to base 7\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 7:11 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 y, 1 q, and 1 w when four letters picked without replacement from qwiqiwby?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 384237 a multiple of 513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1897267?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*g - 243 = 68*g. What is the smallest common multiple of g and ((-10)\/(-2))\/((-1)\/(-6))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**8\/2240 + y**7\/2520 - y**5\/120 + y**4\/12 - 3*y. Let i(a) be the third derivative of w(a). Determine i(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -169069182 or -169069181?\nAnswer: -169069181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, f: 2}. What is prob of picking 4 h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2787455 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 44\/(-10) + 12\/(-20) + 1. Let h be y\/22 - (-14)\/77. Suppose 0 = -5*q - h*q - 2600000. What is q rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -488472 (base 9) to base 4.\nAnswer: -1013333321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -236 + 108. Let j be ((-15)\/4)\/(6\/m). Suppose 4*w - j = w - 4*t, -4*w = -5*t - 117. What is the highest common factor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241 (base 6) to base 2.\nAnswer: 1100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.1, -3, 73?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -841 = -15*t - 106. Let v(m) = -m**3 - 7*m**2 - m + 7. Let q be v(-6). Let u = 33 + q. What is the remainder when t is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 m when three letters picked without replacement from {m: 2, u: 8, b: 9}?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3249068*l**3 - 4*l**2 - 6795210*l.\nAnswer: 19494408*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u - 42. Let k(v) be the first derivative of -v**3\/3 - 125. Calculate k(p(j)).\nAnswer: -j**2 - 84*j - 1764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-192))\/(348\/1624*(-399)\/(-18)).\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87749 is divided by 206?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.26473l to millilitres.\nAnswer: 6264.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*r**3 + 5 - 27*r**4 - 5*r**4 - 2*r**2 - 3077*r + 3097*r wrt r?\nAnswer: -384*r**2 - 48*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1371*v - 1383*v + 96 = 0. Let d(i) = i + 16. Calculate d(v).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(28) - sqrt(140)\/sqrt(5)))\/(-5*2*sqrt(4)) - (-2*sqrt(448)*5 + -6*sqrt(448)*-1 + -1)**2.\nAnswer: -7169 - 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/6 + 137*14. Suppose 11*q - d = 9738. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 + 19 - 31*g - g**3 + g**2 + 27*g)*(-1387 - 8*g + 1387) in the form v*g**2 + n*g**4 + m*g**3 + j + l*g and give v.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 88*i + 136 + 235. What is the biggest value in 4\/19, i, -0.6?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 32282?\nAnswer: 129128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 56 = 4. Let l(o) = -3*o - 8. Let b be l(p). Let a be (-7 + b)\/(9\/2). Put a, 0.4, 2\/7 in decreasing order.\nAnswer: a, 0.4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -18*c. Let l(b) = -8*b + 3*b + 8*b - 6*b. Give l(n(m)).\nAnswer: 54*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (385\/105)\/((-10)\/6) - (-372)\/(-2640)*-4.\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(420))\/sqrt(10) + -5*sqrt(210)\/sqrt(5))\/((sqrt(294)*-2 + sqrt(294) - sqrt(294)) + sqrt(150) + 1*sqrt(150)).\nAnswer: 7*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*c**3 - c**2 + c**4 + 3*c**3 - 38*c + 4*c**2 - 3 - 9*c**3 - 5*c**2 to b*c**3 + p*c + z*c**2 + a*c**4 + q and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1566 by -10.\nAnswer: -783\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*y - y = -266, 2*v + 4*y + 256 = 0. Let n = v - -139. Which is smaller: n or 6\/55?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3080715*u**2 + 7*u**3 + 0*u**3 - 3080639*u**2 + 2 to the form n*u**3 + g*u**2 + l + k*u and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**5\/9 - 2*l**4\/3 - 2*l**3\/3 - 2*l**2\/9.\nAnswer: -2*l**2*(l + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.67 + 0.33. Let a(r) = 10*r + 1. Let i be a(2). Let j = 65\/3 - i. Are b and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70*(-2)\/(-24)*-3*(-30)\/(-15).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + h**2 - 3*h + 2. Suppose 0 = 5*i + 10 + 30. Let l = -6 - i. Give n(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbwblaw. Give prob of sequence alb.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 89 + 29 = 0. Let y = -6 + 8. What is the tens digit of -6*y\/b*(-290)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 24. Let s(z) = -3*z**2 + 3*z - 5. Let j be s(-3). Let i = j + 44. Solve i*f + g = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19617, 19618, 19619, 19620, 19621, 19622?\n\"Answer: h + 19616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31992, 31940, 31818, 31590, 31220, 30672, 29910?\nAnswer: 28898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -442171, -442174, -442177, -442180?\n\"Answer: -3*m - 442168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18048 divided by 4.\nAnswer: 4512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/4 (b) -4 (c) 149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4697\/305 + -24 - (1*-7 - 2). Suppose -1\/5*t**2 + 1\/5*t**4 - 2\/5*t**5 + 0*t + a*t**3 + 0 = 0. Calculate t.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15536087\/77 + 44\/(-121) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 535*j = 530*j + 65, -5*v - 2*j + 53 = 0. Solve 12*n = -w + 15*n + v, -5*w - 2*n + 11 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 182, 0.4, 1.6, 5, 96 in ascending order.\nAnswer: 0.4, 1.6, 5, 96, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/3 - 14*m + 44\/3 = 0 for m.\nAnswer: -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + 1)*(152490\/45900 - (-8)\/(-5))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 + 1 + -6)*3864\/(-140)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*t = 68. Let f(w) = w**2 - 8*w + 12. Let s be f(9). Suppose j = 4*p - s, -4*p + 4*j = t - 53. Solve p*g = g - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2901 + 2901. What is the nearest to 17 in y, -0.04, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k - 6. Let f be a(3). Calculate the greatest common factor of 2 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.708 and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -245.03+-29.52\nAnswer: -274.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3 - 1. Suppose 0 = -s*a - 5*z + 21 + 20, 0 = 3*a - z - 53. Find the common denominator of 196\/a + 4\/(-18) and 97\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1032 + 126*v**3 - 1\/2*v**4 + 1544*v + 768*v**2.\nAnswer: -(v - 258)*(v + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4550d (base 14) to base 7.\nAnswer: -1300616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-9)\/4)*152*(-189)\/(-1008)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 326 + (352\/(-154) - 2\/(-7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9477, 38394, 86747, 154536, 241761, 348422?\nAnswer: 474519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 182, -4 in increasing order.\nAnswer: -6, -4, 5, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -5. What is the third biggest value in c, -2\/3, -2\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i*u - 674260*i - 13153*u wrt u.\nAnswer: -2*i - 13153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 100050*x. Let u(o) = 30*o. Calculate c(u(q)).\nAnswer: 3001500*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t**2 + 786*t - 884*t - 3*t**2 to the form i*t**2 + q + j*t and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26621632 and 2496?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 5*d + 5, 3*y - d = -2*y + 1. Let t = 1 - -3. Suppose -t*a = -2*p - 46, y = -4*p + 11 + 1. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-15 - 3 - (-2 - -4))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400)*1*-2)\/((sqrt(512) + sqrt(512) + sqrt(512) + (sqrt(512)*2 - sqrt(512)))*5 - sqrt(512))*1 + -3)**2.\nAnswer: 15*sqrt(2)\/38 + 26017\/2888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 11*p - 175. Let t be j(16). Let i(b) = -b**2 - 1. Let q(o) = 3*o**3 - 13*o**2 + o - 3. Determine t*q(a) - 3*i(a).\nAnswer: 3*a**3 - 10*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 10 = 6*q + m, 5*q = 3*m + 10. Suppose -24526*f + 24573*f - 2679 = 0. What is the remainder when f is divided by -1 - -30 - (0 + q)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1246 + 10332?\nAnswer: b0a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298*r**2 - 162*r**2 + 81*r**2 - 167*r**2 - 398*r**2.\nAnswer: -944*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, b: 2, n: 6}. Give prob of sequence niib.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (116\/8 - 13)*(1 + -3). Which is the closest to -22? (a) u (b) 4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25*(-41)\/(-2050)*16\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 6 - 3 + (-1 + 1 - 1)*(-2 + 0 + 1) + 3 - 4 + 3)*((-2 + 2 - 2)*(2*j - 2*j + 2*j) + 0 + 0*j - 2*j - 3) in the form o*j + q and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, o: 9, y: 2}. Give prob of picking 1 o and 1 n.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k**2 - 3*k**2 + 3*k)*(4*k - 2*k + 3*k)*(-6 + 1 + 3)*(-8 + 0 - 4).\nAnswer: -120*k**3 + 120*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 868 is divided by 79.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*o - 236*o + 10*o + 0 + 0 + o + (-3 + 2 + 0)*(2*o + o - 5*o) + (141 - 242 + 150)*(0*o + 0*o - 2*o) as d + m*o and give m.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -246855.\nAnswer: -246853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 316 times 707\nAnswer: 223412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**6\/6 + 11*n**5\/60 - 31*n**2\/2 - 11. Let l(v) be the second derivative of a(v). What is the third derivative of l(t) wrt t?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0*t + 13*t)*((4*t**3 - t**3 - 4*t**3)*(-6 + 5 + 4) - 2*t**3 - 3*t**3 + 7*t**3 + 3*t**2 - 3*t**2 + 3*t**3).\nAnswer: 22*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*h = 3*s - 30*h - 42, -3*h - 39 = -3*s. Let f be 5\/(3 + -2) - 2. Solve 5*b - 4*b + 5*t = s, 0 = -b - f*t + 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8188?\nAnswer: 2, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27835?\nAnswer: 5, 19, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8365141?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 404*s**3 - 404*s**3 + 12*s + 26*s**5 wrt s.\nAnswer: 520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-10 + 0 - (124 - 123)) + -11?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 7 = 2*u, 3*f - 20 = -4*u - f. Is 7 a factor of 1\/2*232\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/12)\/((-8)\/3 + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 293*g - 1727. What is r(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 36, 47, 58, 69?\n\"Answer: 11*l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -3427673?\nAnswer: 3427680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) 2\/13 (b) -12 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*k + 8. Let a be -2 - 3\/((-9)\/12). Suppose 17 = k*t + a. Solve 4*u - t = 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23032 (base 5) to base 8\nAnswer: -3152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1630.4 + 1630.2. Which is the closest to x? (a) -4 (b) 43 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -13 + (0 + 28 - -5) + 32 + 1\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 0*n - 2*n**3 - n**3 - 1. Let q be l(1). Let y = 7 + q. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1.4. Suppose s + 2*z - 11 = 0, 0 = 2*s - 4*z + z - 1. Suppose -2*d + s*t = -20, 0 = d - 5*t - 3 - 12. What is the biggest value in d, 1\/7, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-28))\/2 + (-26)\/(-14). Let r be 17\/4 - (-2)\/(-8). Solve v*t - 1 - 2 = o, -2*t - 22 = r*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -6 - 6. Let b(t) = 5*t**3 - t**2 - 2*t + 12. Let z(o) = 4*o**3 - 2*o + 11. Let h(f) = 5*b(f) - 6*z(f). Calculate h(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 238 = -8. Let l = -35 + r. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -239, -845, -1779, -3041, -4631, -6549?\n\"Answer: -164*f**2 - 114*f + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l + 8*l - 5*l**2 - 10 - 4*l**2 - 4*l**3 - 3. Suppose -h + u = 4*u, -u = h - 6. Let y(b) = -2*b**3 - 4*b**2 + 5*b - 6. Calculate h*y(c) - 4*g(c).\nAnswer: -2*c**3 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2. Let b(g) = -2*g + 5. Let k(d) = d - 2. Let j(y) = -2*b(y) - 5*k(y). Determine o(j(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200) + -1)*6 - 6*(1*sqrt(200) - sqrt(200))) + 1)**2.\nAnswer: -600*sqrt(2) + 7225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 2:10 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 721806.3 years in decades?\nAnswer: 72180.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from loqoqqqhho. Give prob of sequence ho.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*(2*sqrt(396) + -1))**2 - 1*(sqrt(704) + sqrt(704)*2 + 2)*6.\nAnswer: -240*sqrt(11) + 6331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1180170.\nAnswer: 2, 3, 5, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**2 + 3*t**2 - 2*t**2)*(-32 - 25 - 9 - 18) to the form m*t**2 + s + h*t and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**3 - 6*o**2 - 6*o. Let f(q) be the third derivative of -q**6\/40 + q**5\/12 + 5*q**4\/24 + 11*q**2. What is 6*f(a) + 5*t(a)?\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*i - 2*i**2 - 100*i + i**2.\nAnswer: -i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21615719?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31123\/18 - 1730. Find the common denominator of -63\/22 and s.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7168 + 7150. Let u(d) = -d**3 - 18*d**2 + 3*d. Determine u(v).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 268\/(-1072)*(-640)\/(-5)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/9)*r)\/r)**(-33)\/((r\/r**(3\/19))\/(r\/(r**(-6\/11)\/r))) assuming r is positive.\nAnswer: r**(-1231\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14458 + 8904. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 219 = -3*n + 30, 59 = -n - 2*g. Let b = 72 + n. Suppose 2*c - m = b, -6*c + 3*c = -5*m + 3. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 193 - 119. Find the common denominator of g\/18 + 19\/114 and (245\/(-32))\/(-5) - 0.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(8749*a**3 + 1 - 23*a**4 - 8749*a**3) + 2*a**4 + 0*a**2 + 0*a**2.\nAnswer: 25*a**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 29*y - 31*y = -56*y - 62, r - 17*y = -25 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4 + 6 + l - 6. Let s be 11\/(-9) + -4 - 4\/(-18). Determine g(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64672 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223020132 (base 4) to base 5.\nAnswer: -21123140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -60658*r**3\/9 - 241034*r**2\/9 - 236240*r\/9 + 6392\/9 = 0.\nAnswer: -2, 799\/30329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 16. Let k be t(-15). Let i be 69\/(-15) + 4\/(-10). Does 9 divide 218\/10 + k\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgl when three letters picked without replacement from {l: 1, d: 1, v: 2, j: 1, g: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + -3*sqrt(343))*3 - (-5 + 3*(sqrt(343) + -3 + sqrt(343))))*-6)**2.\nAnswer: -219240*sqrt(7) + 2808576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjzzjjj. What is prob of picking 2 z?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4 (b) -3\/4 (c) 0.1 (d) -20955\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - t - 16*t**4 + t**2 - 10*t**4 + 25*t**4.\nAnswer: -t*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/5 + (-32)\/(-10). Let g(i) = -i - 7. Let z = 55 - 48. Let d(r) = -r - 6. Let b(l) = z*d(l) - 6*g(l). Determine b(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2434 - 2425. Let b(y) be the third derivative of -t*y**2 + 0*y + 0*y**3 + 0 + 1\/360*y**5 + 1\/720*y**6 + 0*y**4. What is p in b(p) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bldl when four letters picked without replacement from lbbklbbfkdl.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -148*z - 43067. Give j(-299).\nAnswer: 1185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -544 = -4*c + 5*o, 8*o = 2*c + 4*o - 272. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3000 divided by -24?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 + 139 - 66 - 73 + 7*r**2 - 7*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -0.278604.\nAnswer: 0.0835812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1026324)\/(-132) + 16\/(-88)*1?\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11714203 divided by 1.\nAnswer: -11714203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) 1\/201 (c) -163 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 176312646.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/111824440 and 85\/8.\nAnswer: 111824440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 4 + 4)*(-3 + 0 + 1) + 6 - 3 - 1)*(-5*b - b + 2*b) to the form i*b + p and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*s + 10. Which is the closest to 0? (a) 4 (b) -5\/2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)*t\/(t**(-4)\/t))**(8\/9)\/((t*t*t**(2\/7)\/t*t*t*t)**(4\/5)\/(t**(-2\/7)\/t*(t\/t**(-7\/3))\/t)) assuming t is positive.\nAnswer: t**(-206\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + -18?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -1305065?\nAnswer: 1305062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/5421416 and -1\/53144.\nAnswer: 395763368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 6*g + 1. Let m be w(-5). Is 11 - ((-12)\/m - 4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**32\/(i**(-1\/4)*i)**16 assuming i is positive.\nAnswer: i**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.8 + 0.2. Let r = -8.8 + j. Which is the closest to 0.1? (a) -2 (b) r (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -71 - 1934*n**2 + 646*n**2 + 219 wrt n?\nAnswer: -2576*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.8528 - -13.9. What is f rounded to three decimal places?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164 + 25 + 22 + 7*o + 30 + 30 + 58.\nAnswer: 7*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/1252 - -6901\/6260. Find the common denominator of -65\/228 and u.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i = 4*n + 166, -168 = -2*i + 5*n. Let j = 3 + 0. Suppose j*z - i = -10. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuuvvuvqvcvoquvv. What is prob of sequence cuo?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20277128933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.05 and -184442?\nAnswer: 184441.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-22)\/264)\/((-4)\/86) and -22\/39?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6.9 (b) 133 (c) 0.2 (d) 5 (e) 1\/569\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174742 is divided by 12455.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-368)\/(-64) - (-2)\/8. Suppose 0 = 3*x + 5*r + 6 + 2, 0 = -5*x - 5*r. Solve -f = -2*m + 2*f + 2, j = m - x*f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3513*v**3 - 5 + 6 + 2*v + v**4 + 3511*v**3 - v**2 + 2*v**4 to m + z*v**4 + s*v + k*v**3 + r*v**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 55, -6, 4 in decreasing order.\nAnswer: 55, 4, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5a0864 (base 14) to base 8\nAnswer: -13565570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n + 71. Let t be h(-25). Let c be 2\/(-14) + (-165)\/t. Let v = 11 - 9. Sort c, 5, v in ascending order.\nAnswer: c, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -8*i**2 + 114*i - 19. Calculate the remainder when w(9) is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (241 - 3*y - 217 + 2*y)*(-655 + 28 + 23)*(0 + 0 + 1).\nAnswer: 604*y - 14496","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -12\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rprrppprpprppp. What is prob of picking 2 p?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -24756?\nAnswer: 2475.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61*h**3*u*y + h**3*y**3 - 3*h**2*u - 2*u*y**2 - 35*y**3 wrt h.\nAnswer: 366*u*y + 6*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922345 is divided by 1621?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*u + 5. Solve -u*p = -7*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 4\/9, 4, -3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, 95, 55, -13, -115, -257, -445, -685?\nAnswer: -983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 289363876?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**2 + 11*u**2 - 26*u**2 - 10*u**2.\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3 = u. Is ((-52)\/u - -1) + -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673681289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**6\/90 - n**5\/30 + n**4\/36 + 2*n. Let p(g) = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/6 + (2 - (-10 + 9 + 9)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 20, -2*n - 335 = 2*p - 337 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 209.16 - 211.06. Which is the third biggest value? (a) -0.2 (b) 4 (c) w (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 43*n + 10. Let g be d(14). Suppose -4*w + 144 + 322 = 3*f, -4*f = 3*w - g. Does 30 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112809?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/32 and 27\/21986.\nAnswer: 351776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -99450 to the nearest 1000.\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.2385 + -0.2385. Is 0.057 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23724 by 4.\nAnswer: -5931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7011, 7004, 6993, 6978?\nAnswer: 6959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2037 less than -1986.48355063?\nAnswer: -4023.48355063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gogg when four letters picked without replacement from ogggoooogoo.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*h. Suppose g + 2*g = h. Suppose g*k - 2*k = -16. Solve -k*n = -3*n - 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**5\/19 - 504*v**4\/19 - 41290*v**3\/19 + 265944*v**2\/19 + 41288*v\/19 - 265440\/19 = 0.\nAnswer: -70, -1, 1, 6, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 68 = -5*l, -3*w = 4*l - 29 - 73. Solve w*c + 5 = -63 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 8. Let f be j(-7). Let u = f + 1. Factor 3*l**3 - u*l**3 + l**2 + 0*l**2 + l**2.\nAnswer: l**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612718 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1820, 4332, 6846, 9362, 11880?\nAnswer: 14400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 8. Is 6\/5 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 15 = 4*r, -3*x = -r + 6*r - 9. Let h be r - (-2 + -1 + (-1)\/(-1)). Let o(q) = 8*q**2 + 4*q**2 - 7*q**h. Let d(k) = 3*k. Give o(d(p)).\nAnswer: 45*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 57011856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-33))\/((-87)\/(-39150))?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/630*-20*18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*a + 29*a + 30*a - 6 + 11 + 7.\nAnswer: -5*a + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -474*c**3 + 467*c**3 + 0*c**2 + 0*c**2.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f - 28. Calculate o(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-78)\/20)\/(-20*78\/1625) and 29\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 266016 by 96.\nAnswer: 2771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.43 + 0.03. Let k = w - -1.1. Let v = 0.2 + k. What is the nearest to v in 5, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 4*a - 3, 9 = -3*l - a + 3. Let p(h) = -4*h**3 - h**2 - 6*h - 5. Let q be p(l). Suppose -5*m + q + 138 = 0. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in 0.3, 0.2, -0.2, 12, -3.7?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1841*o**2*w**3*x + o**2*w**3 - 25*o*w**3*x - 36*w*x wrt o.\nAnswer: 3682*w**3*x + 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 2001?\nAnswer: -2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3580 - 8015 = -15*r. What are the prime factors of r?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18523*y**4 - y**3 + 7*y**2 - 4913752*y wrt y?\nAnswer: -222276*y**2 - 6*y + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 175 - 53 = 0. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + f - 12. Suppose 2*r - 84 = -2*y, -f*y = -4*y - 3*r + 38. What is the remainder when y is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1145022 + 264?\nAnswer: 1145316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17062861?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 7:01 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, 1, -0.3, 0.125, 5 in descending order.\nAnswer: 5, 1.4, 1, 0.125, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 17 = 2*h - 3, 3*h + 3*o - 54 = 0. Let z be (1\/h)\/((-72)\/(-126)). What is the closest to 49 in -5, z, -2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d5db (base 16) to base 5.\nAnswer: 3222442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 122*k - 728. Let b be s(6). Sort -34, 0, 5, b in descending order.\nAnswer: 5, b, 0, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7349832 - 2935966. Suppose -z = -10*r + 2016134. Round r to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1221570 and 3395.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 253 - 252. Suppose 21 = -5*v + 6, z = -2*n - v. Let a = 0 + 4. What is the greatest common divisor of n and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17176*s**3 - 17675*s**3 + 27882*s**3 + (0 + 0 + 2*s**2)*(s + 2 - 2) in the form k*s + w*s**2 + u + b*s**3 and give b.\nAnswer: -6967","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14363606 (base 7) in base 9?\nAnswer: 2502868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13, 0, -12, 0.3, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 44 - 32 = 0. Suppose -211 = -l - m*x, -5*x = -10*x + 5. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 586*q - 7 - 768*q - q**4 + 9 + (4*q - 2*q - 3*q)*(-5*q**3 + 5*q**3 - 2*q**3) in the form p*q**2 + o + z*q + f*q**3 + g*q**4 and give z.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - d + d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5165970.\nAnswer: 2, 3, 5, 172199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 + -1 + (64 - (-29 + (29 - -95))).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/20)*n\/((n**20*n)\/n) assuming n is positive.\nAnswer: n**(-379\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 11*g**2 - 9*g - 7. Let o be y(10). Let k(v) = -v**2 - 2*v - 3. Let u(q) = -q - 1. Let l(c) = -k(c) + 5*u(c). What is l(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(550) + sqrt(550))\/sqrt(2) - (sqrt(66)\/sqrt(6)*-4 + 3*sqrt(11)*-6))**2.\nAnswer: 24299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4 (b) 1\/5 (c) 5 (d) -7\/2901 (e) 2 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 4:00 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.78 - 0.68. Suppose -g - 11 = 1. Let o = 16 + g. What is the third biggest value in o, z, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 606 - -1459. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrjdirrsijirrjrrrjrr. Give prob of sequence rs.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 509 = -2601. Let f = i + 336. Calculate the highest common factor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8588, -17183, -25778, -34373, -42968?\nAnswer: -51563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 11*x + 220. What is q(-21)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -13. Let o be (-64)\/(-24)*102\/j. Suppose -3*a + o = a. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5124.622 millimeters to nanometers.\nAnswer: 5124622000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-416)\/520)\/((-62)\/5)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3 = w + 2, 2*w = -2*l + 14. Let s be (4\/6*l)\/(4\/76). What is the greatest common divisor of s and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/155 and 41\/4.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 30 - (-39 + 55) - (4 - 2 - -16)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2486*d + 40. Let b(i) = -617771*i - 9944. Let x(y) = 5*b(y) + 1243*j(y). Let n(a) = -3*a. What is x(n(c))?\nAnswer: -3729*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3170 = 17*u - 3596. List the prime factors of u.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -435155*i - 400708 wrt i.\nAnswer: -435155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(1\/6)\/(10 - 1121\/114). Let s(b) = 50*b - 2. Calculate s(q).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -779 = -6*k - 707. Solve -v - k = -7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*f + 2)*(-517 + 517 + 31*f).\nAnswer: 62*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 6\/4)*-2. Suppose -5*t = 2*m - 7 - o, -3*t - m = -6. Let w(b) = 2*b**3 + 2. Calculate the least common multiple of 10 and w(t).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4585146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 77.24 and 4.\nAnswer: 81.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -11. Let h(f) = -f**2 + 4*f + 1. Let v be h(a). Suppose v*m - 1041 = -116. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195862 is divided by 2797?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31754 + 25111 = -974*o - 11315 for o.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 8040, 104, 5 in decreasing order.\nAnswer: 8040, 104, 28, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/(-6)*(-90)\/330)\/(2\/(-17))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, q: 2, t: 3, e: 1, u: 7, i: 1}. Give prob of picking 1 u, 1 t, 1 q, and 1 i.\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -4) + 3 - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**5\/20 - j**4\/2 + j**3\/6 - 3*j**2\/2 + 160*j. What is v(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 37\/21 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -31*a**6\/120 + a**3 - 23*a**2 + 21*a. Let y(h) be the first derivative of b(h). Find the first derivative of y(s) wrt s.\nAnswer: -93*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 193008*d**3*h**3 + d**3*h**2 - 33*d**3 + d**2*h**2 + 716*d**2 + 6878*h**3 wrt d?\nAnswer: 1158048*h**3 + 6*h**2 - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.3 (b) -13\/3 (c) -1\/3 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*-3 - sqrt(91))*-3 + sqrt(91) + -4*sqrt(91)*-4 + sqrt(91))\/((sqrt(252) + (6*(sqrt(252)*-1 - sqrt(252)) - sqrt(252)) + sqrt(252))*1).\nAnswer: -5*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -f - 52, 104*m + 11511*f - 183 = 11508*f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 181*g**2 - 707*g - 573. Determine n(177).\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 657 + 143 = -100*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((19\/(-57))\/(6\/783))\/3.\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3373410 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1589358, -1589352, -1589346, -1589340?\n\"Answer: 6*g - 1589364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 24 = -10*b. Let s(k) = k**2 - 2*k - 7. Calculate s(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.4 + -16.4. Let h = -11.22 + 0.22. Let r = d - h. Which is the second smallest value? (a) -1 (b) 0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10123 to three dps.\nAnswer: -0.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2, -0.01, 1, -0.0838, 0.064?\nAnswer: -0.0838","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/233 (b) -3 (c) -8 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -0.2 (b) -3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 4*z - 9*z. Let x be (9 - 10) + 5\/z. Let o = 0.7 - 0.5. What is the second smallest value in 3, o, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2827 + 667. Suppose 4*x + 3*s = 443, 4*x - s + 9 = v. Suppose -122 = -2*z + 4*f, 6*z - 4*z + f - x = 0. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 145396.3 millilitres?\nAnswer: 145.3963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**2 - m. Suppose 0 = -28*r + 26*r - 4*p + 22, -5*p + 5 = -2*r. Calculate the remainder when c(3) is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6901 + -41?\nAnswer: -6942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/19)*u**(-1\/9)\/u*u)**(10\/9) assuming u is positive.\nAnswer: u**(-280\/1539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/((y\/y**(-10\/7)*y)\/y))\/y)\/y**(-33)*(y*(y*y**(-30))\/y)\/y*y**44)**(-34) assuming y is positive.\nAnswer: y**(-10608\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -176 or -202?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -13)\/((-2442)\/(-1998))?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.3 (b) -2 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*s - 23954 = 7006. Is -430 not equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*t - 61*t - 123 + 23*t + 16 to the form m + p*t and give m.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - c**4 - 7 - 4*c**3 - c + 5*c**3 + 2*c**4 to z*c**3 + h + j*c**4 + t*c**2 + d*c and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7176716 and 0.3.\nAnswer: -7176715.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 - 142. Let y = -63.4 - x. Let h = y - -3.4. What is the closest to -1 in -2\/5, 0, h?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 5351 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -76, -571, -1918, -4543, -8872, -15331, -24346?\n\"Answer: -71*i**3 + 2*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2779719*n*v**4 + 528820*n + 70*v**4 - 219 wrt v.\nAnswer: 11118876*n*v**3 + 280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3288481 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v - 5. Suppose 2*h - 1 = -3*u, -3*h - 3 = -3*u + 18. What is q(h)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + 3*sqrt(363) + sqrt(363) + (sqrt(21) - sqrt(189))\/sqrt(7) + -2 + -3)**2.\nAnswer: -530*sqrt(3) + 8452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-25))\/(48\/(-240))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2 + 69*o - 474. Let t be v(25). Let x(w) be the first derivative of 2*w**2 + w - 4. Let a be x(-1). Sort 3, 24, t, a in ascending order.\nAnswer: a, t, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -321*u + 268*u. Suppose -3*i - 2*z + 8 = 0, -3*i = -0*i + z - 13. What is the nearest to 1 in -3\/2, 3, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38360 and 336294?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-608)\/(-7296))\/(((-196)\/(-24))\/(-7)*(-27)\/168).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81770 and 2296190?\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1876 is divided by 135?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 258410156 less than 258410156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8657 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-11)\/(-132))\/((-2)\/6). What is the nearest to j in -4\/7, 1\/7, 0.4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16962371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by 1117702.\nAnswer: 27\/558851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**2 + 18*h + 28 = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6523 and 14553.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 4*l + 3. Determine k(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 291554094 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a = 2*i + 3*a - 9, -5*i + 37 = 2*a for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 21*m**2 + 95*m - 57281. Calculate p(46).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p + 0*p - p + (-5 + 4 - 5)*(-3*p + 0*p + 0*p) to the form s*p + w and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/22 and 79\/330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 113, 166, 249, 368, 529?\nAnswer: 738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w - 6. Let t be r(0). Let p(i) = -i - 2. What is p(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1842, 1885, 1926, 1965, 2002?\n\"Answer: -t**2 + 46*t + 1797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 4:14 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = 2*d - 3*b, 36*b + 84 = -2*d - 26*b + 60*b for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15998, -15996, -15994?\n\"Answer: 2*d - 16000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35389835392.35 + 0.4.\nAnswer: -35389835391.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40.5 + 40. Let d(f) = -f**3 + 14*f**2 - 14*f + 12. Let w be d(13). Sort q, w, 3 in ascending order.\nAnswer: w, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/195 and -29\/156.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 167 - 329 + 160.\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*i = -128, 192 = 3*s - i - 187. Suppose -h = -2*h - 5*d + s, 0 = 3*d. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h**3 - 46*h**2 + 94*h + 947. Determine p(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33.218 + -0.018. Let y = x + -33.2187. Round y to 3 decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10156 - 11435.9. What is t rounded to the nearest 10?\nAnswer: -1280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**3 - r**2 + 27*r - 2. Let k(o) = o**3 + o - 1. Determine 2*k(a) - n(a).\nAnswer: -a**3 + a**2 - 25*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 7*s**2 + 7*s - 5. Give c(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-154)*(-630)\/(-90)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b + 2. Let v(l) be the third derivative of l**4\/6 + l**3\/3 - 3*l**2. Give 2*g(r) - 3*v(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*x. Suppose -8 = -4*f - 4*z, 3*z - 3 = -x*z. What are the prime factors of (2\/(-2) - f)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -729*j**4 - 38883888*j**3 - 25922376*j**2 - 5760512*j - 426704.\nAnswer: -(j + 53338)*(9*j + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**2 - 18*b**2 + 31*b**2.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/16 (b) 6 (c) 0.3 (d) -1\/3 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1938\/510 + -4*1. Which is the nearest to -0.1? (a) 1041 (b) x (c) 5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29432891 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by 9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -37520 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1\/5, -7, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-3))\/(-14 - 276\/(-18)). Is j at least 56\/167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j**2 + 5*j + 5. Let u(p) = -3*p**2 + 2*p + 2. Let n(h) = -2*d(h) + 5*u(h). Let k(r) = 10*r**2. Calculate k(n(b)).\nAnswer: 10*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 285569799 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjyyj. What is prob of picking 1 y and 2 j?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8253044 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6439184?\nAnswer: 2, 37, 73, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 2, -4, -2 in decreasing order.\nAnswer: 2, -2, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 1*(5 + -2). Suppose -8*y - 17*y = -16*y - 72. What is the biggest value in v, 0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*n**5\/3 + 62*n**4\/3 + 183*n**3 + 652*n**2\/3 + 259*n\/3 + 10 = 0. Calculate n.\nAnswer: -2, -3\/4, -1\/2, -1\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.36? (a) 1\/9 (b) -3 (c) -12 (d) -2\/15 (e) 1.133\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40237, -80481, -120725, -160969, -201213?\nAnswer: -241457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*0.018.\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 548*p**2 + 44*p + 9. Is v(16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 4*m**2 - 8*m - 7. What is the remainder when 33 is divided by a(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3860443 or -3860444?\nAnswer: -3860443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**7\/420 - i**6\/90 - 2*i**3\/3 + 4*i. Let v(r) be the second derivative of y(r). What is the third derivative of v(l) wrt l?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 0 + (87 - (110 + -22)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-1))\/((15\/(-40))\/(((-270)\/36)\/5)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 10. Let o be u(8). Differentiate j**o - 15*j + 15*j - 2 wrt j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116385371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -12*f**2 - 44. Let p be n(13). Let l = -1070 - p. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(5) + 6*-2*sqrt(5) + sqrt(80) + 2 + -5 - ((sqrt(5) + (sqrt(50)\/sqrt(2))\/sqrt(5))**2 + 3*sqrt(45) + (2 + 0 + 0 + sqrt(5) + sqrt(5))**2).\nAnswer: -24*sqrt(5) - 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o - 13*o - 5*m = 23, 3*o - 5*m - 29 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = -3*v. Suppose 0*f + 3*f + 40 = -4*b, 0 = 4*b + f + 32. Let l = 13 + b. Calculate the lowest common multiple of l and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -2 + (-1 - -2). Differentiate 2 + m - 4*f**4 - 1 - 1 wrt f.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9429328, -27 in decreasing order.\nAnswer: 9429328, 1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 8*q - 104. Determine f(6).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 5*k**2 - 6*k. Let h be z(-3). Suppose h = -0*j - 7*j + 14. Suppose 5*w - w = -j*r + 90, 0 = -5*w - 10. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -287*x. Let m(q) = 3*q**2. What is a(m(v))?\nAnswer: -861*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*c - 208 = -375*c + 720*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 21*l**2 - 45*l + 15. Suppose z + 38 = 2*z. Calculate the remainder when h(-19) is divided by z.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 14*c**2 + 39*c + 51*c - 103*c + 22. Let p be b(-12). Let o = p + -315. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20, -46, -110, -230, -424, -710, -1106?\n\"Answer: -3*r**3 - r**2 - 2*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 6*m**2 - 3*m - 2. Let n be a(4). Let x be 24116\/(-144) - (-4)\/n. Let l = x + 168. What is the common denominator of l and 45\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**5\/30 + 35*k**2. Let w(x) = 26 + 25 - 72 + 21 - 231*x. What is w(j(r))?\nAnswer: 462*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20775307\/17 + 1222529. Let x = 1332 + -880. Let v = x - j. What is the nearest to -1\/4 in -5, 3\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 45\/16 (c) 1\/2 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2*sqrt(2) - sqrt(64)\/sqrt(8))*-6 + 3)*5 + -3.\nAnswer: -78 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-33)\/18 - 1250\/(-1500). Suppose -3731 = -5*o - 2*w + 583, -1716 = -2*o - 4*w. List the prime factors of (z\/(-2))\/(((-16)\/(-4))\/o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17191 = 4*m - 4*u + 5439, 0 = 4*m + 2*u - 11782. Calculate the highest common factor of m and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-2 + 16) - (-13 - -2)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**4 - 2*x**4 + 3*x**4 + (2*x + 2*x**3 - 2*x + (-4*x + 5*x + 0*x)*(0 + 2*x**2 + 0) + x**3 + 0*x + 0*x)*(-6*x + 2*x + 3*x).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (366 + 513 + 345 - 4 + 0 + 2 + (-2 - 1 + 1)*(1 + 1 - 1))*(-4*p**2 + 5*p**2 + 4*p**2).\nAnswer: 6100*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 10780427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1258 and 7?\nAnswer: -8806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55090?\nAnswer: 2, 5, 7, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264744 is divided by 88245?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - q. Let s = 17 + -21. Let z be 0 + 0\/s + -1. Let d(o) = -5*o**2 - 3*o. Let f(g) = z*d(g) + 3*x(g). Let a(b) = 6*b**2. Calculate f(a(l)).\nAnswer: 72*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1032017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175856 divided by -324.\nAnswer: 43964\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -220 - -4?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 4:01 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -92\/7 + 13. Let w(x) = -x**2 - 11*x - 6. Let t be w(-10). Suppose l = t, q + 29*l = 32*l - 11. Is b not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*((sqrt(931) - -1*sqrt(931)*-1) + sqrt(931) + 1 + sqrt(931) + 5 + 1*(sqrt(931) + -2*(-1*sqrt(931) - sqrt(931)))))**2.\nAnswer: 4704*sqrt(19) + 365240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 28 = 2*m - 3, 5*n = 2*m + 109. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0021 + -0.0021. Let b(z) = z - 4. Let j be b(2). What is the nearest to a in 1, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/33 + 3\/((-165)\/(-395))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 8:33 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 11:03 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0.2 (c) 3 (d) 2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 10*p**3 - p. What is the remainder when 24 is divided by o(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -4*t - 77. Suppose 4*o = -5*y + 150, -2*y + 4*o = -t*y + 72. Solve -5*g + 2*k = -2, 5*g - y = -5*k + k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4000?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -5, 34, -3 in ascending order.\nAnswer: -5, -3, -1, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 divided by -63336?\nAnswer: 67\/31668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.655*-227\nAnswer: 148.685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -671 - 4?\nAnswer: -675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = j - 6, 5*h = -3*j + 4*j + 12. Find the second derivative of 137*f**3 + 3*f**2 - 141*f**3 - 104*f + 9*f**2 - j*f**2 wrt f.\nAnswer: -24*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*n**4\/17 - 16*n**3\/17 - 8*n**2\/17 = 0. Calculate n.\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -10 - 13*p - 4 - p**2 + 4. Let l be q(-10). What is the highest common divisor of 60 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3950125001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -240 - -235. Put 0.1, -3, n, -0.1 in increasing order.\nAnswer: n, -3, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d - 4*d - 9*d - 12*d - 7*d.\nAnswer: -41*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 475, 473, 471, 469?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14443120 divided by 722156?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 357 = -114. Suppose 21 + y = 12*r. Suppose -16 = r*a - 16. Solve a = t - 3*t - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89*m**3*p - 2*m**3 - 2*m**2*p - 24994*m**2 + 90*m*p + 98*m - 28*p wrt m?\nAnswer: -534*m*p - 12*m - 4*p - 49988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 39*v + 878 = 40*v, -5*d - 2*v + 871 = 0. What is the remainder when 1235 is divided by d?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 greater than 12875\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129302 is divided by 43100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2093 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117757\/51945 + -1\/3463. What is the common denominator of 139\/30 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**4*q + 670*j**2*q**2 - q**2 + 566*q - 5 with respect to j.\nAnswer: -4*j**3*q + 1340*j*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20234710 rounded to the nearest ten thousand?\nAnswer: 20230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 9:23 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 64356 - 4?\nAnswer: 64352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.7 + 119.7. Let o = k + -95.5. Let j = 19 + -31. What is the nearest to j in o, 1\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6742 - -6752. Let s be (-3)\/2*(-2)\/3. Calculate the smallest common multiple of (1 + s)*(-11)\/(-2) and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.48 - -0.14. Round j to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (897*v**4 - 30563*v**2 + 30563*v**2)*(0 - 6 + 4)*(2*v - v + 0*v - 2).\nAnswer: -1794*v**5 + 3588*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - 4.1. Let h = w + 1.9. Let z = -1.6 - h. Put 5, 4, z in descending order.\nAnswer: 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2178 - -0.0592. Let r = 163.277 - h. Let t = r + -163.083. Round t to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkkmmmwkkkwwwwkkmwwm. What is prob of sequence wkw?\nAnswer: 49\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14772\/13 > -557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 2467 + 2503 = 0, 3*g + 4*g = 2*o + 28 + 31 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55\/156 - -701\/390. Suppose -10 = 3*a + x + 39, 5*a = x - 95. Find the common denominator of ((-21)\/70)\/(2\/a) and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -11*l**6\/10 + l**5\/12 + 5*l**4\/24 + 7*l**3\/6 - 2*l**2 + 12*l. Is o(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7c3728 (base 15) in base 16?\nAnswer: 5a8f0f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*l = -4*o - 28, 2*l - 2 = -3*o. Let s(p) be the third derivative of p**4\/6 - p**2. Determine s(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from memvmmvn. What is prob of sequence em?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2366328 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -9 + 2 + -1 + -9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102 and 38.\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1728 - 1728.00741. What is r rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-two thirds of a century in months?\nAnswer: 24800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2740, 3737, 4744, 5767, 6812, 7885, 8992?\n\"Answer: o**3 - o**2 + 993*o + 1747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36046 and 23134.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -373040 to the nearest one thousand.\nAnswer: -373000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3418 is divided by 1376?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*c - 21*c - 180 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/702 + -12625\/7722. Let h = k - -69\/22. Calculate the common denominator of h and 97\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 11*g**2 - g + 3. Let u be r(2). Let z be 18\/u - 54\/(-15). Solve -2*l + z*k + 8 = -18, 7 = -l - 2*k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen tenths of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -112*c + 7. Let k = 103 + -119. Let l be q(k). Suppose 7*g = -0*g + l. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**4*t - 7*o**4 - 10*o**2*t - o*t - 3*o - 17*t wrt o.\nAnswer: -12*o**2*t - 84*o**2 - 20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 3 = -2*s. Let k(g) = 3*g**3 + 2*g - 1. Let u be k(1). Suppose s*y + 8 = 0, 6*a - u*y = 3*a + 10. Sort 1, a, -5 in decreasing order.\nAnswer: 1, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 6 - 11 - 0\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-3 + -9 + 3 - -38).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, n: 4, o: 3, m: 1, z: 1, r: 3}. What is prob of sequence ms?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h - 14. Let u(j) = -353*j**2 - 2*j + 10. Determine m(u(f)).\nAnswer: 706*f**2 + 4*f - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*l - 7*l**2 + 5*l)*(0*l - 36*l + 8*l - 44*l) as j + h*l + n*l**3 + c*l**2 and give n.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbwb.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -618*k = 2*l - 622*k - 1969644, 0 = -4*l + k + 3939246. Round l to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k. Let u(l) be the first derivative of -5*l**2 + 42. Give u(w(i)).\nAnswer: -50*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 3*n = 7, -2*d - 128*n = -132*n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 4. Let h be q(-4). Suppose -4*n = -6*n + h. What is the third derivative of p**2 - 2*p**2 + n*p**3 + 0*p**2 + 0*p**2 wrt p?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/13*o**3 + 28\/13*o**2 - 4 - 22\/13*o.\nAnswer: -2*(o - 13)*(o - 2)*(o + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109 - -221\/2. What is the biggest value in -5\/6, -4\/3, -1\/4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 409 - 41. Let n = 131 - 330. Let z = k + n. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 18, n: 1}. Give prob of picking 3 p and 1 n.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7810.4 less than -59?\nAnswer: 7751.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 6. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4086?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 23*h + 0 + h**2 - 27*h + 1 + 3*h - 2*h**2. Let a(d) = 4*d**2 + 10*d - 8. Suppose -4*g + 14 = -3*w, 0 = w + 2*g + 4 + 4. Calculate w*n(x) - a(x).\nAnswer: 2*x**2 - 4*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, q: 1, v: 4, i: 9, x: 5}. Give prob of picking 1 q, 2 i, and 1 x.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*d + 11*d + 0*d + 0*d as w*d + p and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 5.24. Let g = 7.54 - 6.9. Let r = q - g. What is the third biggest value in r, -1\/5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 1\/36*q**4 + 0*q + 0 - 1\/180*q**6 + 0*q**3 - 1\/90*q**5 - 9*q**2 + 1\/315*q**7. Solve h(l) = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 2\/411 (b) -0.11 (c) 172\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*(-4 + (sqrt(1250) + -5*(0 + sqrt(1250) - sqrt(1250)) - sqrt(1250)))*3)**2.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17832 * -0.028.\nAnswer: 499.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/11 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 280530 and 74808.\nAnswer: 1122120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 192087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-35) + (-66)\/14. Let r(i) = 3*i - 3. Let m(k) = -4*k + 3. Give j*m(p) - 6*r(p).\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006208 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 521008 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6\/89 (b) -3 (c) -177264 (d) -1\/3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652159?\nAnswer: 367, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -15. Suppose 4*u = 3*j + 25, -3*u = -6*u - a*j. Let x(k) = -k**2 + 10*k + 4. Let m be x(9). Solve d - u*w - m = 7, 2*w = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fup. What is prob of sequence up?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 5*w - 1. Let o be v(4). Let a = -247\/4 + 61. What is the smallest value in o, a, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-62)\/(-102) + 2\/(-3). Let x = 5378 + -639992\/119. Let l = x + a. Which is bigger: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -2\/5 (c) -7 (d) -3 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004046 to 5 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1094.03886 to the nearest ten.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and -0.04402?\nAnswer: 0.35216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2 = 2*z + d, 2*z - 12 = 2*d. Suppose x + 25 = -509. Is (-3)\/6 - x\/z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5914843 - -0.4258?\nAnswer: -5914842.5742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -375015.18 + 370642. Let r = 4377.580004 + y. Let b = r + -4.4. What is b rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m - 32*m + 52*m + 75*m.\nAnswer: 86*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (33\/22)\/((-3)\/8*-2). Suppose -i - 298 = -a*f - 5*i, 4*f - 626 = 2*i. Does 54 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 22645058 and 22645058 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 11 - 12 + 11*f + 4 + f**2. Let q be x(3). Calculate the greatest common factor of q and 405.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 975889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2037\/(-66) - -29) + (-4)\/(-11)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2664 - 2659. Sort 44, y, -1.6.\nAnswer: -1.6, y, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 217 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3981711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i - 9*i - 3*i - 168*i + 171*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.8 - 2.7. What is the closest to -11\/5 in -0.3, -1\/6, w, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-3))\/(-2) - 70\/3. Let d = 55 - w. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3976)\/(-28) - 1*(0 - 1). Suppose 4*h - h = 39. Calculate the highest common factor of h and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 - 4 + 2*x**3 + 0*x**3)*(0*x + 5*x + 5*x).\nAnswer: 10*x**4 - 40*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105243 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -263.\nAnswer: 1\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*y = -171, -57 = x - 0*y - 3*y. Let c = -54 - x. Differentiate 1 + 448*d**c + 0 - 472*d**3 - 25 wrt d.\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 44330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**9\/x)**(15\/8)*x**(3\/8)\/x*x*((x\/(x*x**(2\/31)*x))\/x)\/x assuming x is positive.\nAnswer: x**(3983\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-20)*(14125\/(-150))\/(-113).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -336487, -672972, -1009457, -1345942, -1682427?\nAnswer: -2018912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.163 and -98.4?\nAnswer: 16.0392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrirclqrr. Give prob of picking 1 r and 1 c.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -147 + 152. Suppose b + 284 = j*b. What is the remainder when b is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1 = -3*l - 4, -3*n = -3*l + 3. Suppose -n*k + 188 = t, 235 = 4*k + k - 3*t. Let v = -26 + k. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, r: 2, f: 2, p: 1, v: 1}. Give prob of picking 1 r and 1 f.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1b8 (base 16) to base 12\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7967980 and 406.\nAnswer: 1617499940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 + 6152 - 6152. Let f(s) = -12*s. Give y(f(z)).\nAnswer: -288*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.4 (b) -1091 (c) -4 (d) -4\/3 (e) -19 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/((-8525)\/(-22))*5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3)\/(s*s**(1\/2)))**(-50)\/(s\/(s**(-6)\/s)*s*s**(-1\/3))**(-4\/11) assuming s is positive.\nAnswer: s**(493\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2) + 4\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k - 5. Let f(c) = 22*c - 16. Let l(m) = -f(m) + 4*i(m). Let q(t) = -4*t. Calculate l(q(s)).\nAnswer: 56*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w = -9. Suppose 19 = w*n + 7. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**2\/2 - 2487*u\/8 - 51221\/2 = 0.\nAnswer: -524, -391\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20 and 539582?\nAnswer: 10791640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in -0.13, -4, -4.7, 1?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 s when four letters picked without replacement from {s: 3, w: 7, g: 4}?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*f**5 - 12*f**4*o - 445*f**2*o - 35097*f*o - 2*f wrt f.\nAnswer: -320*f**3 - 144*f**2*o - 890*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w - 2. Let d(z) = 18*z**3 - 7*z**2 + 20*z + 14. Determine -6*a(c) - d(c).\nAnswer: -18*c**3 + 7*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -2*x, -87 - 56 + 6 = 5*x + 56*f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0260201043 to four dps.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 176712, 353465, 530254, 707079, 883940, 1060837, 1237770?\n\"Answer: 18*h**2 + 176699*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 32*p**2 + 464*p + 140. Determine z(-14).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 4*u - 70. Let i = 16 + u. Solve g = 3*g - i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54230?\nAnswer: 2, 5, 11, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 5*w**2 + 15*w + 18. What is k(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58024749*u + 4 - 4 + 7159*u**2 - 58024749*u.\nAnswer: 7159*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -21, -24, -25, -24, -21, -16?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.097 - -272.097. Let o = z + -288.9. Round o to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/24)\/(((-154)\/(-21))\/(-22)).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37224224 + -1?\nAnswer: -37224225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*p = -0*p - 7, 2*p = i - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0, 1\/59, -33 in descending order.\nAnswer: 1\/4, 1\/59, 0, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b**4 - 358*b**3 - 1780*b**2 + 1398*b + 756 = 0. Calculate b.\nAnswer: -14, -9, -3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4874*w - 4912*w + 9790*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-14)\/(-6) - 3)*1)\/((-355)\/40 - -9)\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (5*((-2 + sqrt(1700) - sqrt(1700)) + sqrt(1700) + sqrt(1700)) - sqrt(1700)) + 2 + (sqrt(1700) - (-3*sqrt(1700)*-6 + sqrt(1700)))*1)**2.\nAnswer: 900*sqrt(17) + 137725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -35. Find the second derivative of 0*f**4 - 5*f**4 + 10*f + 0*f**j + 3*f**4 wrt f.\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -124 and -0.1.\nAnswer: 12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 24*s**2 + s - 1. What is the least common multiple of w(-1) and 2 - 2 - -12 - -2?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 + 2*i**2 + 5*i + 21. Give x(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 86773.77 grams?\nAnswer: 0.08677377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + -221?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/2118 and -47?\nAnswer: 2118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-55) + 480\/825?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 78*w. Let o(x) = -2*x. What is o(c(b))?\nAnswer: -4*b**2 - 156*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + y + 10 = 36, -5*s = 4939*y - 4935*y + 21 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 286861.9 tonnes?\nAnswer: 286861900000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13985290.\nAnswer: 2, 5, 11, 127139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -173229870.65 to the nearest ten thousand.\nAnswer: -173230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.8 - -3. Let q = -922 + 2768\/3. Let p = 3.1 + -3. Put u, p, q in decreasing order.\nAnswer: q, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1817 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*c - 18 = -30, 5*k + c + 60 = 0 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -13*m - 3. Let l be -4*(-4)\/(-8)*2. Is c(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12 - (-590)\/(-50))\/((-20)\/(-25)). Let l = 4.2 - 4. Which is the nearest to 0? (a) n (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 15*q**2 - 912*q + 6842. Determine x(52).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1698 + 2929 = -1335*s - 4109 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 500 + 5080 + 1337)*(0 + 2*p + 0).\nAnswer: 13892*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*t**2 + 2*t**3 - t - 20*t**2 + 20*t**2 in the form n + j*t**3 + s*t**2 + c*t and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-588) + (-53790)\/(-5390).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 6 - 52)*(-2*i**2 - 2*i**2 + 2*i**4 + i**2).\nAnswer: -76*i**4 + 114*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(11) - (sqrt(99)\/(3*sqrt(9)))**2).\nAnswer: sqrt(11) + 34\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174 and 1131?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 900\/10*(-6)\/5. Let i be 2\/(3\/9*s\/(-90)). Let l = 4 - 3.4. Which is the fourth biggest value? (a) -5 (b) i (c) l (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 137970 by -10.\nAnswer: -13797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(39)\/sqrt(1200)*-5 - (2 + (sqrt(637) + -2 + sqrt(637) + 1)**2)).\nAnswer: -7653 + 333*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-1)\/(-6)) - (-320)\/56. What is the closest to -1\/3 in -21, 0.2, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/297 and 17\/165.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -647*i + 644*i = -6285. Is 36 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 38932842.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1849922 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/((-196)\/(-196)*1\/13)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8525 + -5614. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2\/3 - 86*j - 60500\/3 = 0. Calculate j.\nAnswer: -121, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 5*t**2 + 2*t + 8. Suppose -4*s = 4*f - 28, -s - 2 = -2*f + 6. Let g be j(f). What are the prime factors of 8\/6*2*g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**5 + 18*t**4 - 1603*t**3 - 22032*t**2 - 82188*t - 61776 = 0.\nAnswer: -44, -6, -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319 - 3*l**2 - 1341 + 5*l**2 - 3*l**2.\nAnswer: -l**2 - 1022","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 5*o**3 + 10*o**2 - 65*o + 50 = 0?\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 516, 518, 520?\nAnswer: 522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-7))\/(((-270)\/63)\/(-10)). Let g = 0.1 - 0.3. Which is the third biggest value? (a) -2 (b) g (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41 + 4*f**2 - 5 - 7 to r*f**2 + x + k*f and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 30*b**3 + b**2 + b. Let s(p) = -p**2 - p. Determine 5*r(t) + 5*s(t).\nAnswer: 150*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -7, 3\/4 in decreasing order.\nAnswer: 3\/4, -1\/8, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 39.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-3))\/((-2)\/(-18)). Suppose -h = j*h - 12. Suppose -u - u = -2, g - h = u. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**4 - 3*j**4 + 3*j**4)*(-1 + 2 - 3) + 2*j + 497*j**4 - j - 534*j**4.\nAnswer: -41*j**4 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 5:05 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*m - 0*s + 182, -2*m - 3*s = -79. Let k(t) = -t + 27. Let v be k(15). What is the common denominator of (121\/v)\/(-6 + m\/8) and 73\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hirddiiihihiiidrh. Give prob of sequence rird.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -497 - -845. Is 2 a factor of (q\/10)\/((-33)\/(-110))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158103471 to the power of 1\/2, to the nearest integer?\nAnswer: 12574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90913 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565 + 93 = 59*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/8 and 63\/176?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 6*b. What is the tens digit of (-116 + 4)*(-1 - (b + 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8*j**3 + j**2 + j - 1. Let y be k(4). Let i = y - 191. Is 20 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6229511.958 from -40.3.\nAnswer: 6229471.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/737104 and 37\/40.\nAnswer: 3685520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-209)\/55 - -3)\/(0 + -1). Solve -4\/5*k**2 + 0*k**3 + x*k**4 + 2\/5*k - 2\/5*k**5 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3) + -10 + (-98)\/(-6). Let i be 171\/(2 - 3\/g). What is the greatest common factor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5088 + 4869*f - 5088)*(2 + 1 - 2) to the form z + i*f and give i.\nAnswer: 4869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/55)\/h**(2\/9)*((h\/h**(-10))\/h)**30 assuming h is positive.\nAnswer: h**(148408\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 224 = 2*d, 2*d - 4*m + 3*m - 216 = 0. Suppose -29*w - d = -24*w. Are -22 and w unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1570497608 to the power of 1\/3, to the nearest integer?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1005 = 57*r - 4710. What is the greatest common divisor of 26 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1168.2 + 1168. Let q be (3\/18)\/(1\/(-4)). What is the closest to q in 4, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6431304, 12862608, 19293914, 25725222, 32156532, 38587844, 45019158?\n\"Answer: c**2 + 6431301*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**2. Let s(t) = 15*t - 2*t - 29*t - t. Let b(x) = 16*x. Let p(f) = 4*b(f) + 3*s(f). Give q(p(z)).\nAnswer: -507*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 8*r**2 - 8*r - 2. Let w be y(-7). Suppose -w*f + 51632 = 7632. Round f to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one tenth of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 344470 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -55736724 - -22?\nAnswer: -55736702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 12:19 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 294484.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-247)\/(-39) - 8 - -2\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3910721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 35 = -61. Does 12 divide (-486)\/(-63)*(-112)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 632499195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**4\/12 + 4*z**3\/3 - 79. Factor n(k).\nAnswer: k**2*(k + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002461676502 to 5 decimal places.\nAnswer: 0.00246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2*t - 3*o - 940, 2*t - 972 = -3*o. Suppose 15*k - t = 10*k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 3. Let j(s) be the third derivative of s**6\/60 + s**4\/6 + 49*s**2 - 2. Let i(z) = z. Calculate d*j(g) - 2*i(g).\nAnswer: 2*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**4 + 0*z**4 - z**4)*(30 - 24 + 17) - z**4 + 0*z**4 + 3*z**4.\nAnswer: 94*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**5\/7 + 69*i**4\/7 + 177*i**3\/7 - 2661*i**2\/7 + 360*i + 756 = 0.\nAnswer: -14, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3016 and 32297416.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3*3\/(-6))\/((-1)\/(-2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5086125?\nAnswer: 3, 5, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-100)\/640*-16)\/((-9)\/(-72))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 15*m**2 + 6*m - 208. What is n(-16)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 8*j**2 + j + 12. Let u be y(-8). Suppose -3*l = u*x - 35 - 128, -5*l - 49 = -2*x. What is the remainder when x is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-3) + -2 - -187. Round x to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 6*s + 31. Let n be h(19). Let g = n + 692. Is 31 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t + 4 - 12*t - 23 + 10*t to the form n + r*t and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 4*h**2 + 4*h + 1. Let i be v(5). Let u(t) = 2*t**2 + 5*t - 1. Calculate the remainder when 20 is divided by u(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (-35 + 22 + -29)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 9. Let l be k(-8). Suppose 2*d = 4*j + 22, -2*d + 13 = -3*d - 4*j. Suppose 0 = -w + 2, 5 = d*g - 2*w + 6. Is l > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -22a?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.16 - 213.16. Let h = c - -209.02. Which is smaller: 2\/3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/5819 and 73\/2116.\nAnswer: 23276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 91082 and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2906.\nAnswer: 2, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 4. Suppose -5*k - 5*j = -39 - 11, 4*k = -5*j + 40. Suppose 0*x = -x - k. Calculate the smallest common multiple of t(x) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 254014.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3066.24551 and -0.0562?\nAnswer: 3066.30171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 20*p**2 + 33*p - 19. Does 7 divide k(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y - 5*y + 2*y - 1 + 1 - 2*y + (-1 + 1 - 2)*(-2*y + 4 - 4) + 0 + 0 + y + (160*y - 76*y - 66*y)*(1 - 1 - 2).\nAnswer: -31*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 42*-9*1\/(-6). Let q = 158 - f. Calculate the greatest common factor of 19 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l - 6. Let p be d(-3). Suppose p*b + 28 = 4*b. What is the derivative of -2*t**2 + 5*t**3 - b + 0*t**2 + 2*t**2 wrt t?\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33407\/116620 - -97\/340. Let t = 16123\/1715 + p. What is the common denominator of -139\/30 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(96))\/sqrt(6))\/sqrt(8) + (0 + (sqrt(2) - sqrt(2)*2 - sqrt(2)))*-1 - (sqrt(500)*3)\/(sqrt(10)*-2*1).\nAnswer: 21*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46 and 30.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 375969 (base 12) to base 7\nAnswer: 10443522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180623*g + 22 = 3*u + 180625*g, 2*u + 104*g = -88 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 2. Let t(s) = s + 1. Let d(l) = 3*t(l) + 2*u(l). Let f(x) = -5*x + 5. Let m = -58 - -57. Calculate m*f(a) - 4*d(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymvuuugyu. Give prob of sequence mu.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g = 1416. What is the tens digit of ((-4)\/6)\/((-4)\/g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2. Let m(v) = -18*v**2. Calculate m(c(z)).\nAnswer: -72*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(65) - sqrt(65)*-3))\/(sqrt(270)\/sqrt(6)).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 - 6*n**2 + 0*n**2 - 5*n**2 + 4*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 349185?\nAnswer: -1\/349185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/7)\/((-1)\/(-2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5, 28, 73, 146, 253, 400?\n\"Answer: x**3 + 5*x**2 + x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b = 24. Calculate the remainder when 7\/(-21)*(-100 - (-2 - -4)) is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2\/5)\/d)**(-25\/3))**(8\/9))**(3\/2) assuming d is positive.\nAnswer: d**(140\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwdadwdmwwmwmamww. What is prob of picking 1 m and 1 w?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of ((-90)\/(0 - -5))\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 283*u + 32*u + 3517 + 6248 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.7 + -1.7. Sort -1, n, 0.06, 1 in decreasing order.\nAnswer: 1, 0.06, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42512 and 18599.\nAnswer: 297584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 2*d**2 + 2*d. Let l be o(3). Put 3, -2, l, -5 in decreasing order.\nAnswer: 3, -2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/(-15)*5)\/(6\/(-10)). Let n = -3 - -2. Let v = n + 0.9. Which is the closest to v? (a) 4 (b) p (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h + 10. Let r be v(15). Let l = r + 30. Suppose 5*o - 3*y - 31 = 0, 0 = -3*o + 2*o + 4*y + 13. Put l, o, -10 in increasing order.\nAnswer: -10, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2694 - 36)\/(-42)*(-2)\/5?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 7 = -37. Suppose i + 0*i = k + 54, 0 = a*k + 9. What are the prime factors of i?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and 2603.5193453377.\nAnswer: 2604.0193453377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 546273, 546271, 546269?\nAnswer: 546267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 10336503?\nAnswer: -10336505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of p**6\/120 - p**5\/12 + p**4\/24 - p**3\/3 + 11*p**2\/2 + 21. Let r(h) be the second derivative of y(h). Give r(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4843*o**2 + 2 - 12463*o**2 + 48264*o**2 + 62002*o**2 - 2*o.\nAnswer: 92960*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/38300556 and 13\/17808?\nAnswer: 153202224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 190436 and 3142194.\nAnswer: 6284388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2\/2 - 1779*u\/2 + 5319 = 0. Calculate u.\nAnswer: 6, 1773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 285179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 22*d**2 + 13*d + 87. Give g(18).\nAnswer: -975","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -5, 0, -7, 9 in descending order.\nAnswer: 9, 0, -5, -7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 29*p + 1. Give w(-1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 13. Suppose 12*k = -145 + 37. Put f, k, -2\/5, 2\/21 in increasing order.\nAnswer: k, -2\/5, f, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-20\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.8683 - 4.032. Round b to one decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -757*l**3 - 382*l wrt l.\nAnswer: -4542*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5931, 5936, 5941?\n\"Answer: 5*x + 5926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72714.\nAnswer: 2, 3, 12119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f**3 + 4*f**3 - 28 - 12*f**2 + 2*f**3 + 0*f**2. Let q(b) = -b**3 + 5*b**2 + 16*b - 1. Let d be q(7). What is the hundreds digit of s(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/((19456\/192)\/38)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15111315625 - -1?\nAnswer: 15111315626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4655.\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n + 8 + 21*n - 3 - 3. Is y(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -16. Sort i, 5, -4 in descending order.\nAnswer: 5, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 - 5*c**4 + 4*c**4 + 7 + 14*c + 61 - 129 + c**2 + 64 in the form a + s*c**3 + n*c**2 + t*c**4 + p*c and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 13 - 4*y - 11 - 7. Let h(s) = 2 + 0*s + 0 + 2*s. Calculate -5*h(u) - 2*i(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**3 + 2 - 3 - 4*k**3 + k**3 + 3*k as m*k**2 + s + o*k + x*k**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -13*p**4 - 6*p**3 + 19*p - 6. Let x(r) = -12*r**4 - 5*r**3 + 20*r - 5. Let o(w) = 6*x(w) - 5*z(w). Find the second derivative of o(g) wrt g.\nAnswer: -84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 43 = -3*c - 2*a, -3*a - 69 = 5*c. Let o be (-732)\/c*(110\/4 - 0). Suppose p = 3*p, -2*p + o = 2*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -79162, -79161, -79160, -79159, -79158, -79157?\n\"Answer: m - 79163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -27, -3, 0, -5 in decreasing order.\nAnswer: 1, 0, -3, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29243 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 214\/85 - 12\/5. Let b be (4\/36)\/((1\/12)\/(2\/(-8))). What is the second smallest value in -1\/43, g, b?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h + 16*h = 122*h + 1240 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4 + 9. Sort -2\/5, 0.04, l.\nAnswer: l, -2\/5, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 5:59 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 77762185?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -81 + 90 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.4887511 take away -187447?\nAnswer: 187546.4887511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 21.895?\nAnswer: 28.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1338, -1323, -1298, -1263, -1218, -1163, -1098?\nAnswer: -1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -0*f + 3930. Let n be (-5)\/((-6 - -3)\/f). Is (-1)\/(-2) + n\/20 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 7000?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55593.\nAnswer: 3, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 9:25 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622818.\nAnswer: 2, 3, 7, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17007797 is divided by 17007782?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 54*p + 1. What is the tens digit of h(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - h**4 + h + (h**4 + 2*h**4 - h**4)*(-5 - 1 + 1))*(2 + 0 - 4).\nAnswer: 22*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 0.21 (c) -2634\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 617, 1\/12, -2\/7, 2\/3?\nAnswer: 617","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7*(-5)\/35)\/(2\/38). Let g(x) = -2 + 8*x**2 + 10*x**2 - j*x**2 - 2*x. Let l(i) = -i**3 - 6*i**2 - 11*i - 10. What is -11*g(p) + 2*l(p)?\nAnswer: -2*p**3 - p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 19 (c) 138 (d) 1\/3 (e) 5 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 22446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(440\/(-143)) + (30\/16)\/5.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7282)\/4634)\/((-209)\/190)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22679 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.05, 610, 3.2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -672085.8 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5003 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010000 - 100100000001000000010?\nAnswer: -100100000001010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.2 + -6.2. What is the nearest to -2\/3 in 4, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + 104*l - 427. Is 269 a factor of v(44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -103?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3918 divided by 5291?\nAnswer: 3918\/5291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304 = -4*p + 4*f, 4*p - 3*f + f = 300. What is the remainder when p is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3861, -3807, -3749, -3687, -3621?\n\"Answer: 2*y**2 + 48*y - 3911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = m. List the prime factors of 57\/m*(-3 - -1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 3:12 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + -2*1*sqrt(156) - sqrt(156))\/(5*sqrt(108)\/sqrt(9) - sqrt(12)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -30*l**2 + 5*l + 5. Let f(b) = -30*b**2 + 4*b + 4. Let h(p) = -p**3 + 4*p**2 + 21*p - 50. Let g be h(6). Calculate g*n(t) - 5*f(t).\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/214 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 25*p + 102. Let r be v(-7). Let y = -655\/9 - r. What is the second biggest value in 8.4, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74181*l*s**2 + 2*l*s - 15*l + s**4 - 3472*s + 2 wrt s?\nAnswer: -148362*l + 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**3*s**3 + 33*p**3*s - 138*p**3 + 38581*p*s**3 - 2*p*s**2 - s**2 wrt s?\nAnswer: 12*p**3 + 231486*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**2 + 826860*t + 1653700 = 0. Calculate t.\nAnswer: -165370, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v = 81. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 14, 2\/7, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*l = -65*l + 4*q - 3*q, -3*l + 7 = -10*q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1285 + 4906038*i - 9812075*i + 4906036*i + 1285.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jnj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(-1))\/5*0. Is c less than or equal to 4\/549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 23 = 3*t + 35, 0 = -10*t - b - 40 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1386*c - 54428 - 10281 - 19334 + 17515 = 0 for c.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 95, 193, 313, 467, 667, 925, 1253, 1663?\n\"Answer: 2*a**3 - a**2 + 87*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t**3 + 9*t**2 - 6*t + 1. Let h(p) be the third derivative of p**6\/30 + 2*p**5\/15 - 5*p**4\/24 + p**3\/6 + 26*p**2. Give -6*h(b) + 5*l(b).\nAnswer: b**3 - 3*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-4)*(-4)\/5. Let r be 2*f*(-3)\/108. Let p = 186 - 185. Which is the nearest to -1? (a) p (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35897 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: Simplify -1*sqrt(95)\/sqrt(5) + -1 - ((sqrt(38)*-1*1)\/sqrt(2))**2.\nAnswer: -20 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/4452 and 101\/106?\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/4 of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -0.092, -5\/18 in decreasing order.\nAnswer: -0.092, -5\/18, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from ooyoozzooooyoooyo?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 4 - 4)*(-2910*o**2 + 249*o**3 + 2910*o**2).\nAnswer: 498*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 3)*2 - 12. Let v = -11 - t. What is the units digit of 5 + (0 - 6\/v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*q**2 - 1\/4*q**3 - 2*q - 1.\nAnswer: -(q + 1)*(q + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -783, -2020, -3751, -5976, -8695, -11908?\nAnswer: -15615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10\/2 - (-11)\/(99\/(-36))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2 - 26. Suppose -4*h + f = -2*h. Sort 4, h, -3 in increasing order.\nAnswer: -3, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 8:44 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*p = -0*p - 296, -y - 4*p + 74 = 0. What are the prime factors of y?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3*(sqrt(612) - (sqrt(612) + (sqrt(612) - (sqrt(612) + 1 + sqrt(612))))))**2 + -5 + 2*sqrt(612)) - (sqrt(153)*-3*-6)\/(6*2*sqrt(9)).\nAnswer: -22048 - 963*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 65 = 4. Suppose -19*w + 4 = -o*w. Which is the nearest to w? (a) 2\/3 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24434668 at least as big as 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 120\/80*(10\/6 + 1). Suppose j*z - 31 = -5*f, -22*z + 4 = -26*z. What is the smallest value in f, 2, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4523.\nAnswer: 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**5\/4 - 9*b**4\/4 - 9*b**3\/4 - 3*b**2\/4.\nAnswer: -3*b**2*(b + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/49 and (-3400)\/360*6\/(-28).\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 177 (b) -10872 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17, -44, -271, -748, -1559, -2788, -4519?\n\"Answer: -14*v**3 + v**2 + 34*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 190276000 and 2378450.\nAnswer: 190276000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 348*b + 52*b**5 - 9 - 2*b**3 - 391575*b**2 - 577*b**5 - 3*b**4 + 391575*b**2 wrt b.\nAnswer: -10500*b**3 - 36*b**2 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3)*(-2*z**3 + 3 - 3) - 646*z**3 - z + 648*z**3 - z.\nAnswer: 8*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2449 is divided by 333?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77670*x**3 - 2*x**2 + 50696*x wrt x?\nAnswer: -466020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s. Let k(h) = -3002*h + 3002*h + 192*h**2. Calculate y(k(n)).\nAnswer: 384*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(57) - sqrt(684)\/(-1*sqrt(12)))\/(sqrt(9)\/(sqrt(6)\/sqrt(2))).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 295909663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82 + 149. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-20)\/(-176))\/5)\/((-1113)\/(-2968))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 4841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -71, -107?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 0*p**2 + 0*p**4 - 3*p**5 + 35\/3*p**3 + 0*p + 32. Find the third derivative of h(g) wrt g.\nAnswer: -360*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*k + 264, 0 = m + 2 - 1. Let r = -10 + 12. Suppose r*a + 0*z - 114 = -3*z, -k = -a - 4*z. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z + 18*z = 6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 974 a factor of 159893173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + s - 191, 0*k - 2*k + 4*s + 206 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 46530.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9604*-0.21\nAnswer: 2016.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1374278, 1374276, 1374274?\n\"Answer: -2*m + 1374280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, 11, -2, 2\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 - (12 - (18 - (8 + 5))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18247753 times 5\nAnswer: -91238765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23056160 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5 = 17. What is the derivative of 0 + c**f + 5 + c**4 - 2 wrt c?\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 305*m**2 - 544*m - 627199 with respect to m.\nAnswer: 610*m - 544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 17.1965.\nAnswer: 6.8786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(441\/(-78)) + 2\/(-3). Which is the second smallest value? (a) -1 (b) -1\/4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**4 + 2*k**4 - 18499*k**5 + 22656*k**5 + 130*k**2 wrt k?\nAnswer: 249420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m - 2*m)*(3*m**3 + m**3 + 0*m**3) - 203*m**4 + 25441 - 25441.\nAnswer: -211*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29105399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/1809 and -26\/44823.\nAnswer: 403407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*w + 10 - 51 + 104*w.\nAnswer: -w - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7351974 and 35.\nAnswer: 36759870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1671*f + 26. Let u be s(6). Round u to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1051?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-45)*31\/((-192882)\/(-85))*(-3)\/1.\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7951*y + 8188*y - 2844 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32561671*o**3*w - 5857*o**2*w + 3*o*w - 6*o - 4*w wrt o?\nAnswer: -195370026*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 413.556 micrometers?\nAnswer: 0.0413556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11038154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -6. What is the closest to -1 in -0.3, 2, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z + 35*z + 1400 = 4*z for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 13*g - 613. Let k be m(47). Which is the nearest to 0.04? (a) 0.5 (b) -3.7 (c) k (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5565824 divided by -1391456.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*d = -1103*d + 45324 for d.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2. Let q(x) = -4*x**2 + 618*x**2 - 187*x**2. Give q(s(h)).\nAnswer: 1708*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r - 6*r + 8*r to the form o + c*r and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 486823663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*o + 70 + 20. Sort -14, o, 4.\nAnswer: -14, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*b = -165*b - 32 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qd when two letters picked without replacement from {d: 6, q: 3, t: 6, j: 4}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 7:02 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 146674512*v + 2689176558804768.\nAnswer: 2*(v - 36668628)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**3 + 3*v**2 + 25*v + 13. Let i(n) = -20*n**3 + 20*n**2 + 175*n + 90. Let t(k) = -2*i(k) + 15*j(k). Suppose t(b) = 0. Calculate b.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 + 6*p**2 - 3*p**2 + 1 - 2*p**2.\nAnswer: -2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2 = 4*r - 31, 5*r = -d + 10. Let p(w) = w + 9. Let j be p(-6). What is the third derivative of b**5 - 11*b**d + b**2 - j*b**5 - 11*b**2 wrt b?\nAnswer: -780*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -103323?\nAnswer: 103321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - 1) + 15 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 12*j**2 - 33*j - 14. What is the units digit of b(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhhhhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 267 and 7370313.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p + p)*(0 - 1 + 2)*(3*p**3 - 2*p + 2*p).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c + 112. Let g = -27 - c. List the prime factors of g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1207\/93 - -453205\/744. Which is bigger: p or 623?\nAnswer: 623","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/361491?\nAnswer: 2\/361491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -54 + 2. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -11. Let c be -7 + 9 + (-1 - o). Suppose -c*n - 36 = -142. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -1082*j - 47615. Determine a(-44).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 = 0, -6*q + 9*q = 3*s - 6. Solve s = -3*l + 4*f, 10*l - 11*l + 4*f = 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.17 in -4\/7, -2\/263, -5, -0.08, 7.8?\nAnswer: -2\/263","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**3 + 5*j**2 + 4*j + 4. Let q be n(3). Is 237 + 1 + q\/5 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(-26*h - 1091 + 1091).\nAnswer: 26*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 0.68.\nAnswer: 0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156) + 1*sqrt(156))*1 - (sqrt(156) - (sqrt(156)*5 - sqrt(156))*1))\/((sqrt(588) + sqrt(588)*1 + sqrt(588) - sqrt(588))*-6*-2))**2.\nAnswer: 325\/28224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (1 + -6 - (1 + -3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 22*q + 959. Let t(m) = -m + 46. Calculate the remainder when f(-41) is divided by t(16).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*a + a + 2*a)*(-3 - 1 + 6) + 1 - 1 + 2*a)*(13 - 126 - 37)*(-a**2 + a - a) to c*a**2 + g*a + k + h*a**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 1 - 175 = 0. Suppose -x - 14 = -i. Calculate the remainder when i is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -w**4 - 34*w**3 + 55*w**3 + 11 + 33*w**3 - 2*w**4 wrt w.\nAnswer: -12*w**3 + 162*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 - 202839*i**2 + 1622664*i - 3245296.\nAnswer: (i - 202831)*(i - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -28527, 4\/3, -7.6?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in eighteen sevenths of a week?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 11*b + 8 = -4*k, 2*k = -4. Let s = 9 - 5. Solve 4*v + s*i - 16 = b, 4*i - 5 = -2*v + 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h = -10. Let u be h + 5 - (0 + -4). Suppose u*a - 8*a + 2*p = -1594, -5*a + 5*p = -1995. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-3240))\/(31\/(-186))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8375 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.87791 to zero decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 8*j**2 + 4. Let l be f(8). Suppose -3*h - l - 8 = 0. Is (6\/(-9))\/(h\/306) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 307993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s**2 + 2*s**2 - 4*s**2)*(3*s - 3*s + s).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1435681416 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1409 - 6801278.\nAnswer: -6799869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 t when three letters picked without replacement from nttknk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8133, -16268, -24403?\nAnswer: -32538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2 - 17*i + 14*i + 12*i**2. Calculate the remainder when o(2) is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9078.9 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1878 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**2 - 746*i - 69504 = 0?\nAnswer: -192, -181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3.1993*-229\nAnswer: -732.6397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15554 is divided by 1727.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 9096 and 9113 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 300 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 537647 and 1221?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 47*q - 1. Let m be k(7). Suppose 0 = g - 78 + m. Let j = -135 - g. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2245316 is divided by 270?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 m when four letters picked without replacement from {b: 1, c: 1, m: 4, r: 1, k: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40 - -17) + -28 - (0 - 2 - -8).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -3*j + f, 91*j = 101*j - 2*f + 42 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, d: 13, b: 1}. Give prob of picking 3 d and 1 o.\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*5*87\/(-207). Let b = -2379\/92 - k. What is the common denominator of 62\/3 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.017427566.\nAnswer: -0.08713783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-15 - -12) - -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 47*v - 7. Let f be p(3). Suppose -4*i = -2*x + f, 8*i - 5*i = 5*x - 363. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 432, 547, 664, 783, 904, 1027?\nAnswer: 1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74559?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232221 is divided by 1668.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.99 - -0.2. Let h = d + 0.39. Sort -0.01, 5, h, -4 in decreasing order.\nAnswer: 5, -0.01, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 14*v**2 - 3*v - 32. Let d be n(-14). Let k = 26 - d. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.097 times -76\nAnswer: 7.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**5\/20 - 5*z**4\/12 - z**3 - 5*z**2\/2 + 7*z. Let l = -16 + 20. Suppose -9 - 7 = l*y. What is t(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 10:05 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1076757.\nAnswer: 3, 11, 67, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133597, 267197, 400809, 534439, 668093, 801777, 935497, 1069259?\nAnswer: 1203069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -203 + 1?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 345 - 4*n**2 - 5832*n**4 + 5693*n**4 + 4*n**2 with respect to n.\nAnswer: -556*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/(-42)*(1 + -4). Let z be -1*(-3 - (-51)\/21). Solve -2\/7 - 2\/7*j**w - z*j = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -18, -5, 46, 147, 310, 547?\nAnswer: 870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8218 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*t**4 - t**2 - 3*t**2 - 31*t**4 + (t + 0*t + 2*t)*(2*t - 2*t + t**2)*(-5*t + 4*t + 0*t).\nAnswer: -10*t**4 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 11 = 25. Let b be 3 + -4 + 0 + 3. What is the units digit of (2 + -219)*b\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9*u + 1. Let w be ((-1)\/(-3))\/(2\/(-36)*-6). Let f be (4 + (-2 - w))\/(5\/5). Calculate g(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20703.24g to micrograms.\nAnswer: 20703240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -47, -3, -4, 15 in descending order.\nAnswer: 15, 5, -3, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -66*l - 129. Let t be p(-2). Suppose -2 = -3*g - 4*q, g + 0*q - q = t. What is the lowest common multiple of g and 268?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23.5 - 54.7. Let u = z + 31. What is the closest to 0.1 in -0.3, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2.9. Suppose 51*p - 38 = 13. Which is the nearest to p? (a) 4 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4*s - 1 - 5*s + 4*s - s + s - 4*s + s + (2 + 2*s - 2)*(-4 - 1 + 3) - 3 + 3 + 2*s - 2 + s + 2 - 1 - 3*s + 1 to j + v*s and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 50 = 5*t + b, 2*t + 4*b = 8. Let v = 21 + -86. Let l = -11 - v. Calculate the remainder when l is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32169576, 64339153, 96508744, 128678355, 160847992, 193017661, 225187368, 257357119?\nAnswer: 289526920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*2\/6)\/(35\/21).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 s, and 1 n when four letters picked without replacement from {s: 1, f: 5, h: 2, 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 next term in 846, 1691, 2536, 3381, 4226?\nAnswer: 5071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-21) - 1)\/((-4)\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0.05. Which is bigger: -1\/4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/9*2\/4. Suppose 4*o - 20 = 3*n, -n + 5*n = 2*o - 10. Let r = 0.04 + -2.04. Which is the nearest to r? (a) -2\/5 (b) s (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 31*h + 41. Calculate u(24).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 288 divide 7147872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((1 - -1) + -1)*9. Suppose a + s = 4*a. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39 - 34*c**2 + 7*c - 32 + 34*c**2 - c**4 + 19 - 2*c**3 as j*c**2 + y*c**4 + z*c**3 + x*c + t and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 140 = 5*s - s, -29*m + 274 = 9*m - 3*s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -34180907, -34180906, -34180905, -34180904?\n\"Answer: m - 34180908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7*o - 11. Let p(v) = 8*v - 12. Determine -5*p(i) + 6*y(i).\nAnswer: 2*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 111 + -100. Suppose -83 + w = -3*y. Calculate the least common multiple of 6 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 23*s - 51690 = 19*s, -4*z = -4*s - 103284. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 6:01 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 297 and 297.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = b + 2*r, b = -4*r - 2. Suppose u = -b*d + 4*d + 1, 5*u = d + 5. Suppose d*y + 4*y = 0. Solve 3*f - 8 - 4 = y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1317 - -1322. Let u(z) be the first derivative of 2*z**3\/3 - 5*z**2\/2 + 5*z - 1. Let f(l) = -l**2 + 2*l - 2. Let a = 4 + -2. Give a*u(n) + r*f(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/38*(-1274)\/(-1365). Which is greater: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 182723 + -90723. What is c rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j**3\/6 - 681*j**2 + 5720*j - 4736\/3 = 0.\nAnswer: -592, 2\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 8*s**2 - 8*s + 9. Let a be t(7). Suppose -5*p - a*z = -195, -5*p + 109 = -4*z - 56. What is the remainder when 127 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48.3279 - -0.2879. Let o = r - -48. Let l = o + 5.04. Which is the closest to -1\/2? (a) l (b) 1\/7 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, k: 1, f: 3}. What is prob of picking 1 k and 3 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1010110101?\nAnswer: -1010110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*u + 496 = -309 - 385 for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -149*d**4*f - 2*d**2*f**3 - 14*d*f**3 + 2*d*f + f**3 wrt d.\nAnswer: -1788*d**2*f - 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-116 + 103 - -28) + (-37 - (-2 + 1 - -3))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, 10, 6, -5, 42 in descending order.\nAnswer: 42, 10, 6, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -24*b**2 - b - 2. Let v(i) = -i**2. Determine j(l) - 3*v(l).\nAnswer: -21*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 - 3\/(9\/(-2688)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/15 and 4 + (4 - (-47)\/4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*m - 25*m**2 - 8*m to the form f*m**2 + b + r*m and give f.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 d, and 1 w when three letters picked without replacement from {j: 6, d: 1, w: 11}.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*x - 58*x + 15, 3*x + 834 = a. Are a and 818 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1575)*4)\/((sqrt(45) + 2*sqrt(45))\/sqrt(5)))**2 + ((-5 + (-4*sqrt(112) - sqrt(112)))**2 - (5 + sqrt(112)*3 + sqrt(112))**2).\nAnswer: 40*sqrt(7) + 11872\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6*k**2 + 6*k - 6. Let q(d) = 18*d**2 - 17*d + 18. Let y(x) = 3*q(x) + 8*r(x). What is the units digit of y(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51 + 1?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h - 2. Let p be n(3). Suppose -k - 4*k + 10 = 0. Let u(q) = -4*q - k*q + q. Let m(d) = -16*d. What is p*u(j) - 3*m(j)?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-18))\/f**(7\/5))**40)**(3\/20) assuming f is positive.\nAnswer: f**(528\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + 7*y)*(y + y - 4*y + (0*y - 4*y + 5*y)*(-4 - 1 + 0)).\nAnswer: -49*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7473 divide 503403699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -3*k**2\/2 + 1350*k - 1182. Let i(v) = -v**2. Determine i(b(c)).\nAnswer: -9*c**2 + 8100*c - 1822500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1669941 + 1669941 - 13*g.\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*h = -22 - 35. Let z(s) be the third derivative of s**5\/15 + s**4\/24 + s**3\/6 + s**2. Calculate z(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 11:57 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -23.8. What is the nearest to -1\/3 in 1\/8, h, -1\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -363793*0.2\nAnswer: -72758.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -116*d - 1 + d**3 - 17*d**2 + 124*d - 39 + 0*d**3 - 6*d. Calculate o(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*10 + ((-28)\/12)\/((-182)\/(-468)). Factor 9\/2*w**3 + 11\/2*w**2 + 7\/4*w**s + 13\/4*w + 1\/4*w**5 + 3\/4.\nAnswer: (w + 1)**4*(w + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = n - 5*r + 16, 4*n + 3*r = -43. Suppose 4*k - 90 = -110. Let f = k - n. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 912929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkk when three letters picked without replacement from xkkx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*g**3 + 349*g**3 - 156*g**3.\nAnswer: 37*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1412.0743 to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8643721 rounded to two dps?\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0270031 and -152.\nAnswer: -152.0270031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x + 2. Give n(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 2131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 787*h + 2 = 3*y + 782*h, -4*h - 8 = -4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 7*r - 1. Suppose 2891 = 13*z + 36*z. Suppose -z*g + 102 = -76*g. What is c(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -9*j - 4. Let h(z) = -2*z. What is a(s) - 4*h(s)?\nAnswer: -s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o + 28*o - 17 = -c, -5*o - 5*c + 65 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -128*c**2 - 5*c - 52. Let h(t) = -t**2 - 25. Determine -2*h(b) + w(b).\nAnswer: -126*b**2 - 5*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 - 2*l - 2*l - l**4 + 6*l - l**3 - l**3 to a*l**4 + f*l**2 + d + p*l**3 + c*l and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010754 rounded to 4 dps?\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 25 = -5*d, -4*f + 4 = -d - 10. Let l(v) = 3*v - 17. Let u(i) = -2*i + 9. Let y(k) = -6*l(k) - 11*u(k). Calculate y(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 5. Let p be y(-5). Suppose -3*w + 13 = -4*r - 7, 3*r - 3 = p. Calculate the remainder when 21 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -16*i - 263. Give f(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 7*n**6\/6 + 5*n**2\/2 + n + 45. What is the second derivative of r(q) wrt q?\nAnswer: 140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 159, 159, 153, 135, 99, 39, -51?\n\"Answer: -k**3 + 3*k**2 - 2*k + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*n**2 + 29*n**2 - 14*n**2)*(-10 + 9 - 78).\nAnswer: 395*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 8890?\nAnswer: 80010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -580\/21 + 10697\/420. Let p be (-1)\/(-10) + -3 + 5. Let l = p - v. Calculate the common denominator of -33\/16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39\/4, -0.1, -4567.64, -2\/9 in decreasing order.\nAnswer: -0.1, -2\/9, -39\/4, -4567.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4289865 is divided by 57.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 25. Calculate the remainder when 86 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9608 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m = 4*o + 136, -4*o = 5*m - 104. Calculate the remainder when 89 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 9:24 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**4 - 235*k**3 + 3*k**2*w - 134*w - 3 wrt k.\nAnswer: -4*k**3 - 705*k**2 + 6*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 186 - 278. What is the common denominator of ((-129)\/126 - -1)*t and 2\/(-6)*1 + -2 + 1027\/(-234)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 813862854?\nAnswer: 2, 3, 7, 61, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y = -2*w + 52, 0 = -3*w - 12. Suppose 7*b = y*b - 295. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-6)*84\/(-8). What is the hundreds digit of 0\/4 - (h + -113)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-40348.209\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, z: 5, c: 4}. What is prob of sequence cd?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440*y = -449*y + 207. Suppose -3*n - 4 = -5*n. Suppose -5*t - 64 = -n*s, 0 = -3*s - 0*t + 2*t + 74. Which is smaller: y or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62952 * 0.5\nAnswer: 31476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3115790 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: Solve -2*m = -5*d - 42 - 37 - 104, -3*m = 3*d + 114 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -n + 15. Suppose -3*s + 20*p + 12 = 17*p, -2*s + 8 = 5*p. Solve -q + 4 = 5*o - 4, s*q = n*o + 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + 2 + (-8 - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*o + 67. Suppose -5*t + 3*m - 6*m = -17, m = 5*t - o. Suppose t*a + 8 = 0, 2*x + x = 5*a + 46. Calculate the remainder when 22 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 216 = -u. Let r = 207 - 28. Let q = r - u. List the prime factors of q.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*l**2 + 0*l**2 - l**2 + 5*l**2 - 633 + 6*l**2 as v*l**2 + y + r*l and give y.\nAnswer: -633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -19. Let h = -7 - -7.1. Which is the second smallest value? (a) 4 (b) h (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5220 and 200799?\nAnswer: 116463420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14214 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 1062.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 - 6*k + 16. Let g be w(-7). Let n be (-6)\/g + 20\/(-50). Which is the second smallest value? (a) n (b) 7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-2 + 0 - 3)*(-4*d + 2*d + d).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 28 - 25 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*p**3 - 191 + 15*p**5 + 21*p**4 + 20*p - 45*p**2 + 17*p**3 + 211 + 4*p**4 = 0. What is p?\nAnswer: -2, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82181*g**2 + 95185*g**2 - 23196*g**2.\nAnswer: 154170*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**2 - 6*y. Let r(t) = -15*t**2 - 33*t. Let q(h) = 2*r(h) - 11*v(h). Let c(a) = -54*a**2 + a. Give c(q(w)).\nAnswer: -10584*w**4 + 14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/19 (b) -1\/23 (c) 83702\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axt when three letters picked without replacement from {e: 7, a: 4, x: 6, t: 3}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 1188 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - r + 3. Give h(-8).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - f**2 - 2*f + 3. Give u(3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17567 - -10275?\nAnswer: -7282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Let r(p) = -p**3 + p**2 - p - 1. Let o(m) = 3*m**3 - 3*m**2 + 5*m + 6. What is o(x) + 5*r(x)?\nAnswer: -2*x**3 + 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsscssc. Give prob of picking 2 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 10:17 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 4)*(-2 + 2 + 2*k) + (31*k + 63*k - 40*k)*(-1 + 4 - 1) in the form u*k + g and give u.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*x - 5*n - 0, 5*x = -2*n + 15. Solve 5*k - 2 = -x*r - 0*r, 2*k = -2*r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 354*z - 5 - 311*z.\nAnswer: 43*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*l - 24 = -4, 5*o + 2*l - 25 = 0. Suppose o*m - j - 7 = 0, 4*m = -m - 2*j + 16. Suppose m*n + 0*n - 880 = 0. Round n to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360\/1326 - 6\/102*2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/9)*j)\/j**(-15)*(j\/(j\/(((j**6*j)\/j*j)\/j)))**(36\/11) assuming j is positive.\nAnswer: j**(3605\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5162 - -5155. Which is the closest to -25? (a) u (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -615 - -622.62. Let m = 0.92 - w. Let j = m + 7. What is the fourth smallest value in -4, 10\/7, j, -1\/6?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -99a - -4?\nAnswer: -996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 54 = 297. Suppose -4*g = -5*s - w, -6*g + 2*g - 4*s = -396. Suppose -4*d - 206 = -3*v, 5*v + 5*d = g + 226. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-6)*59\/((-16933)\/246)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 170 - 118. Let v = -19 + 8. Let c = -5 - v. Calculate the least common multiple of c and h.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + 2*t**2 - 5*t**2 + 12 + 4*t**2.\nAnswer: 4*t**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3890\/3 smaller than -1297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.46301 meters in millimeters?\nAnswer: 16463.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473 - 947 - 30169*x + 474.\nAnswer: -30169*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 83, 106, 143, 194, 259, 338?\n\"Answer: 7*m**2 + 2*m + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48852017 to the nearest integer?\nAnswer: 6989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -7*j**5\/5 - 5*j - 5. Differentiate n(z) wrt z.\nAnswer: -28*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17 and 22396.\nAnswer: 380732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 42. Let u = 21 + o. Put 1\/5, 8, u in decreasing order.\nAnswer: 8, u, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-5)*(-100)\/210?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-732)\/(-84) - -8 - ((-18)\/14 - -1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1. Let b(i) = -7*i - 1. Let h(l) = -b(l) + 3*g(l). Let p be h(1). Suppose p*a - 2*n - 2 = 5, n - 4 = 0. Solve a = -j + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 7*j + 35 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -5. Let g be (4\/(-6))\/2*(-238 - -237). Which is the closest to 1? (a) g (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1706 + -946. Calculate the highest common factor of 40 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.9 - -17.6. What is the second biggest value in l, -4, -7, -2\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 31*l - 109. Let i(r) = r**2. What is w(i(a))?\nAnswer: 31*a**2 - 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -66, -114, -182, -270, -378, -506?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.13 + 0.3. Let f = i + 0.03. Which is the nearest to -3? (a) f (b) -0.2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10337, -20559, -30783, -41009?\n\"Answer: -u**2 - 10219*u - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**4 - 267*r**3 - 12974*r**2 - 24888*r = 0 for r.\nAnswer: -204, -61, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 + -0.5. Let q = -2.7 - s. Let v = -2 - q. Is -1\/5 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-21)*b)\/b)\/(b\/(b**(-2\/13)\/b))*b*b\/(b\/((b*b*(b*b**20)\/b)\/b))*b*b\/((b**(-6\/17)*b)\/b) assuming b is positive.\nAnswer: b**(265\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-9\/8)\/(q*(q*q*(q\/(q**(-12\/7)\/q))\/q*q)\/q)*(q**0)**0 assuming q is positive.\nAnswer: q**(-383\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5293708?\nAnswer: 2, 7, 189061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from {s: 1, h: 2, j: 1, d: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 173205*l**2 + 485865000*l - 355961250000.\nAnswer: 5*(l - 31641)*(l - 1500)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 712033 (base 8) to base 6\nAnswer: 5005431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**2\/2 - 5967*v - 11868363\/2 = 0. What is v?\nAnswer: -1989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8946 divided by 2982\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 + -4)*(8\/6)\/(-4). Let s(b) be the second derivative of 0*b**2 + g*b + 1\/5*b**5 + 0 + 1\/3*b**4 + 0*b**3. Find the third derivative of s(x) wrt x.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.1, 10 in decreasing order.\nAnswer: 10, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 38*i**2 + 30*i + i**3 + 56 + 20*i - 11*i**2. Calculate the remainder when 108 is divided by c(-25).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.47 + -0.07. Let o = 0.4 - 0.5. Let z = l + o. Which is the third biggest value? (a) -3\/5 (b) z (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -z**5\/120 + 2*z**3\/3 - 1. Let o(g) be the third derivative of u(g). Let v(m) = 0*m + m**2 + 0*m + 0*m. Give o(v(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-632)\/6)\/(156\/(-351)). Let b = 237 - n. Solve -v + 1 = -b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -37. Let r be (6\/8)\/((-4)\/a). Let i(x) = -x**3 - 6*x**2. Determine i(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8960 and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2104 + -34. Does 38 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -12*k**4 + 227*k**3 - 2235*k**2 + 2592*k - 3. Let h(f) = 14*f**4 - 228*f**3 + 2236*f**2 - 2592*f + 4. Let s(x) = -8*g(x) - 6*h(x). Factor s(l).\nAnswer: 4*l*(l - 18)**2*(3*l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**3 + 5*l**4 + l**3 - 2 - 8*l**4 - 3*l**2 in the form k*l**3 + c + x*l**2 + n*l + q*l**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**4 + 23*q**3 + 90*q**2 - 864*q - 4320 = 0.\nAnswer: -12, -5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i + 13. Let w(z) = 2*z - 13. Determine f(w(t)).\nAnswer: -4*t + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 9. Let g = 7 + q. Suppose -g*v + 0 + 1 = 3*f, -5*v = -2*f + 9. Is 3 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3394*n + n**3 - 1705*n - 4 - 2*n**2 - 1667*n in the form w*n + h*n**2 + f*n**3 + g and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 2*d + 1. Let n be i(-3). Suppose 14 + n = v. Calculate the remainder when 52 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1815 = 289*h - 497 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w**3 - w**2 - 6*w - 2. Let f(k) = k**3 - k**2 + k + 1. What is 2*f(a) + z(a)?\nAnswer: -3*a**3 - 3*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 28 - 168. Find the third derivative of 3*i**6 + 17*i**2 - j*i**2 + 12*i**2 wrt i.\nAnswer: 360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -14*x - 25. Let n be r(-2). Let t(u) = 25837*u**3 - 5*u - 5*u**2 - 6 - 25838*u**n + 1. What is t(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 4*j - 1949, -2*t + 5*j = -4*t + 766. Does 33 divide t\/4 - (-60)\/80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 52\/5. Let k = 0.1 + 0.4. Let x = k - 0.9. What is the smallest value in -0.3, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 a when two letters picked without replacement from {p: 1, a: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*g - 6*g + 8*g)*(1158*g - 1151*g - 17 + 1)*(-5 + g + 5) as s*g**2 + i*g + v + y*g**3 and give s.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 - (-2 + 1 - 3). Let z = -14395 - -14426. Is k < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -140\/387 - -6\/43. Let a be (-51)\/15 - (152\/(-95))\/4. What is the nearest to 4\/7 in s, a, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**2*u**2*z**2 + 10538439*o**2*u**2*z + 2*o*u**2*z**2 + 1324*o*u**2*z - u**2 - 35*u*z + z**2 - 3*z wrt o?\nAnswer: 4*u**2*z**2 + 21076878*u**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + sqrt(14)\/sqrt(2) + sqrt(700) + -1 + sqrt(700) + 2 + sqrt(252) + 2))**2*-3.\nAnswer: -551232 - 5832*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 141329043 and -7?\nAnswer: 141329050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**4 - 2*z**4 - z**4)*(523*z - 1261 + 1261).\nAnswer: -1046*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(880) - -6*(sqrt(880) + sqrt(880)*1 - sqrt(880))) + sqrt(880))\/(sqrt(55)\/(sqrt(121)\/(1*sqrt(11)))))**2.\nAnswer: 405504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12994, 51964, 116912, 207838, 324742, 467624?\nAnswer: 636484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3966\/8)\/((-2)\/(-32)). Suppose -4*x - 47364 = -s. Is (-2)\/(4 + x\/2463) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -1\/2, -0.78, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s**2 + 3. Let y(d) = 7*d**2 + 4. Let o(n) = 4*w(n) - 3*y(n). Let c(l) = -l**2. Determine c(o(u)).\nAnswer: -121*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6.852*4.1\nAnswer: 28.0932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 468 (b) 5 (c) -0.2 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.06 from -107.25.\nAnswer: -107.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 - 75*h**2 + 1512*h - 3888.\nAnswer: (h - 36)**2*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y. Let a(m) = 3*m**2 + 83. Give a(k(n)).\nAnswer: 3*n**2 + 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 85*w**2 + 62*w**2 + 109*w**2 + (-20 + 20 + 2*w)*(-4*w + 0*w + 3*w) + w**2 - 2 + 2.\nAnswer: 255*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n + 33*n - 27 = 0. Which is bigger: n or 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5133, 10243, 15373, 20541, 25765, 31063, 36453, 41953?\nAnswer: 47581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 2, 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5020.\nAnswer: 2, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 45. Let n(z) = 11. Let v(u) = -9*n(u) + 2*x(u). Let i be v(7). Let b(c) = -255*c + 249*c + i - 2 + c**2. What is b(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2110220001112 - -10?\nAnswer: -2110220001102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llkllklpkppkppl. What is prob of picking 2 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3, 9.7, 0.4 in decreasing order.\nAnswer: 9.7, 3, 0.4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**7\/2520 - u**5\/60 - u**4\/12 - u. Let w(x) be the third derivative of b(x). Differentiate w(t) with respect to t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 143 and 11638.\nAnswer: 151294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 64?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -458 (base 10) to base 3.\nAnswer: -121222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2294 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3465280 to the nearest integer?\nAnswer: 1862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4347 by 1449.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t**2 - 9*t**2 + 7*t**2.\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 13513?\nAnswer: -13522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**5\/y)*y)\/y*y)\/y**(2\/5) assuming y is positive.\nAnswer: y**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17164*o**5 - 9*o**4 + 2*o + 5776966.\nAnswer: -343280*o**3 - 108*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2964397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**5\/20 + 7*k**4\/12 - 7*k**3\/6 + 4*k**2 - 4*k. Let q be u(6). Factor 2 + 1\/2*c**2 + q*c.\nAnswer: (c + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -910465 by 182093.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10833525 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: What is -1.16 times 0.4?\nAnswer: -0.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 11:51 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*s - 10*v + 70, -2786*s - v = -2789*s + 25 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*x + 14. Suppose -3 = -4*l + 3*q - 6, l + 1 = q. Let d be -2 - -1 - -5 - 0. What is the nearest to x in d, l, 2\/15?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-3))\/(1\/24*-8). Suppose 6 = 5*u + 1. Let i = -7 - -5. Sort i, k, u.\nAnswer: i, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-621\nAnswer: -2484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 5:07 AM?\nAnswer: 658","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 1005\/67 + (0\/(-5) - -8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4134\/104 - (-1)\/4. List the prime factors of x*((-34)\/(-4) + -4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zniijlijjjjjj. Give prob of picking 2 j and 1 n.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g + 127 = g + y, 6 = 4*g - 2*y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8606119.5 rounded to the nearest 10000?\nAnswer: -8610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -13150, 35\/26, -5 in ascending order.\nAnswer: -13150, -5, -0.5, 35\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-3)*(-7)\/28?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1415 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 10*h - 50. Let b = -251 - -166. Let u = -46 - b. What is the remainder when u is divided by o(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + 564.\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 944 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 483738466 to the nearest integer?\nAnswer: 21994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -16*a - 8*a. Solve a + 5 = 5*y + q, 0 = 3*y + 2*q - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddwbwdbb. What is prob of sequence wwdb?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -o - 6. Let i be 707\/8 - o\/(-152). Is 11192\/i - (-2)\/(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-36) - (-92)\/207. Solve v*l**2 - 8\/3 + 2*l = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -65, -1.227, 1?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)\/(sqrt(9)\/sqrt(3)))\/(sqrt(539)*2) + (-1*sqrt(405) - (sqrt(5) - (2*sqrt(80) - sqrt(5)))))**2.\nAnswer: 8405\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 9*q**2 + 5. Let o be m(9). Suppose i = s - 3, -15 = 5*i - i - o*s. Suppose i = -5*j - 2*x - x + 54, -j - x = -10. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -445 + 173. What is i rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 908 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 51 + 0*d + 22\/3*d**3 - 10*d**2 - 1\/2*d**4. Find o, given that v(o) = 0.\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 - 16*j**2 - j + 9. Let p be q(8). Sort -3, p, 4 in increasing order.\nAnswer: -3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 8*v**2 - 3. Let c(q) = q**3 - 10*q**2 + 2*q - 1. Let j be c(10). Let w be 22\/10 - j\/95. What are the prime factors of u(w)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 + (88 - 28) + -21 + (-2 - 14) + 1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17658 at least as big as 17656?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0*b**2 + 4*b**2 - 7*b**2)*(-b + b + 3*b) to q*b**3 + u*b + t + z*b**2 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3210 by 214.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -63901.92 take away 0.47?\nAnswer: -63902.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 527403206 to the nearest integer?\nAnswer: 22965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80 + 76. Let r be ((1\/b)\/(3\/12))\/1. Is -2\/9 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2776003713.\nAnswer: 3, 7, 1303, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*h + 44 = 18*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -5869441.58.\nAnswer: -5869442.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*n**4 - 3250*n**3 - 56180*n**2 - 210590*n - 64075 = 0. Calculate n.\nAnswer: -11, -5, -1\/3, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -41.66 and 958507380?\nAnswer: 958507421.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17550, 17555, 17560, 17565, 17570, 17575?\n\"Answer: 5*l + 17545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, q: 6, m: 3, o: 1, k: 3}. Give prob of picking 1 q and 1 o.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 8:48 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g - 2*g + 3*g + (2*g - 3 + 3)*(5 - 2 - 1) + 82*g + 103*g + 139*g - 3*g + g + 3*g.\nAnswer: 330*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4*u + 20 = 0. Suppose -u*v = -2*v + 168. Let o = -28 - v. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -q. Let r be ((-2)\/(-5))\/((-3)\/(-30)). Let o be (r\/(-3))\/(6\/(-18)). Solve 12 - o = -q*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 divided by 44?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 10:48 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22133 + 1122111?\nAnswer: 1044423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 + 42*q**2 + 78*q + 32. Determine a(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -21*j - 18. Calculate the lowest common multiple of 88 and u(-2).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q - 18*q + 0*q)*(-1 + 3 + 2)*(10 - 16 - 8) in the form p + g*q and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1613, -3229, -4843, -6455, -8065, -9673?\n\"Answer: s**2 - 1619*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = 6*z - 492. Suppose 0 = -8*r + 14 + z. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a hour in seconds?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -127*g**2 + 772*g + 12. Let h be w(6). What is the highest common factor of h and 441?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c - 3*c + c**2 + (-79*c + 38*c + 126*c)*(0*c + 0*c + c).\nAnswer: 86*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 117 = -4*w, 0 = 3*h - 0 - 3. Let x = w + -18. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(245) + 0 + -2 - sqrt(245) - ((sqrt(245) - (sqrt(245) + -4*sqrt(245) + sqrt(245) - sqrt(245)))**2 + 2))*-5.\nAnswer: 19620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9078 + 2686 - 617 = 157*r for r.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -69072?\nAnswer: -69074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -132 - 335. Let l = 811 + d. What are the prime factors of l?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/(5\/((-900)\/10))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 7. Let s = 7 + 11. Suppose -2*f + 5*c - 2 - s = 0, 2*f + 3*c = 12. What is l(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78020 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n. Let s(b) = -2722*b**2. Give s(q(r)).\nAnswer: -10888*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**3 + w + 4*w**3 + w - 7*w**2 - w as z*w**2 + m*w**3 + o + q*w and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -150.6, -4, -178, -0.3 in descending order.\nAnswer: -0.3, -4, -150.6, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 2*z**2 - 3*z + 1. Let t be q(0). Is t\/3 + 9\/((-54)\/(-316)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*sqrt(76)*3)\/(2*sqrt(4)*-2).\nAnswer: -9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 w, and 1 r when four letters picked without replacement from {w: 1, v: 2, o: 5, p: 5, d: 1, r: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -19. What is the common denominator of 175\/75*1\/w and -2*(4\/(-7) + 2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -105946*h + 105932*h + 111 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -15) + -14 + (-20 - -37) + -16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 7 - 1 = 2*n, 4*n + 3*t = -16. Let u = n + 5. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 2*t + 2. Let g be 3 + -9 + 9\/3. Determine b(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 18*v + 236. Let h be c(-13). Let d(f) = -4*f**3 + 2*f**2 + 4*f - 5. What is d(h)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16492613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 854862, 854847, 854836, 854829?\n\"Answer: 2*w**2 - 21*w + 854881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7*m**2 + 28*m + 2. Let x be d(-4). Suppose -x*c - 3*c + 20 = q, 3*q + 3*c = 24. Solve -2*o + 7*y = 2*y, -q*o = 2*y - 29 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1246*q + 388*q + 5689 = -100521 for q.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24.6734 - 1.3266. Put -0.1, -3, o, 0, -1\/3 in descending order.\nAnswer: 0, -0.1, -1\/3, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3304, 6690, 10162, 13720?\n\"Answer: 43*q**2 + 3257*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4878.8 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -18 (b) -2.88 (c) -3 (d) -5 (e) 0.2 (f) 3 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 9*d**2 + 936*d + 12683. What is r(-15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380 = 379*b - 341*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59512527?\nAnswer: 3, 349, 18947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/5 of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 3*x + 8. Let s = x + -9. Suppose -7*u + 3 = -s*u. Is u bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(294) - (sqrt(294)*3 - sqrt(294)) - sqrt(6)).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 23, -86, -3.\nAnswer: -86, -3, 1, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 12*f - 51 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 1, 3\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6830*s = 182080 + 357490 for s.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*q**2 + 330*q**2 - 15*q**2 - 4 + 4 + q**2 + (1 + 2 - 1)*(1 + q - 1)*(-7*q - 16 + 16) in the form a + d*q**2 + g*q and give d.\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kolpw. Give prob of picking 3 k and 1 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 796?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*k - 61. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 3*w**4 + 2*w + (-2*w**3 - 4*w**2 + 4*w**2)*(0 + 2*w + 0) + 4581*w**4 + 4362*w**4 + 9 + w - 8810*w**4.\nAnswer: 132*w**4 + w + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lclllcl.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t + 2*t + 0*t + 2 - 2*t. What is the units digit of v(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9922530469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -125*t**4 - 1386982275*t**3 - 1664378610*t**2 - 665751428*t - 88766856.\nAnswer: -(t + 11095857)*(5*t + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -199673422 at most as big as -199673424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 71773, 66464, 61155, 55846, 50537?\n\"Answer: -5309*o + 77082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*h**3*w*y - 83*h**3*w - 2*h**3*y**3 + 2*h**2*w*y**3 + 2*h**2 - 34*h*w - 31*w wrt h.\nAnswer: -96*w*y - 498*w - 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 - 41. Suppose u*d = d + 648. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24802932?\nAnswer: 2, 3, 7, 11, 17, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*h - 4 = 43*h. Let x = 340 - 7818\/23. Which is bigger: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9935.\nAnswer: 5, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 1. Give l(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5016639 and -0.5.\nAnswer: 0.0016639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 13*j + 63 - 7 = -95, -17 + 2 = 2*r - j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 - 30. What is the common denominator of -31\/14 and q\/(-6) - 2022\/(-396)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 4*h + 2, -4*p + 4*h = -2*p - 18. Suppose 0 = -2*n - p*x + 221, n - 7 = 5*x + 141. Let u = n - 75. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/(-10))\/((-2)\/5). Suppose 4*z - 415 = -5*x + 65, x = o*z - 480. Suppose -5*p = -4*v - z, -p + 41 = -5*v - 4. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -290*d**3*o**3*s**3 - 397*d**3 + d*o**2 - 76*o**4*s - 40*o**2*s**3 wrt o?\nAnswer: -1740*d**3*s**3 - 1824*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1 + (2 - 2 - 2)*(-2 - 3 + 0))*(4*t - 4*t + 10*t)*(t + 0*t + 0*t).\nAnswer: 130*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 629.7961 minutes?\nAnswer: 37787766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**1*r**(-3\/17)*r*r)\/(r*r**10)**(-2\/59) assuming r is positive.\nAnswer: r**(4209\/1003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 31*x**3 - 864*x**2 - 112*x = 0.\nAnswer: -4\/31, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*n = -127*n + 18. Calculate the greatest common factor of 318 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 + 0*l**3 + 4*l**3 - 3*l**2.\nAnswer: l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3 + sqrt(77)\/sqrt(7))*3 + -2)**2 + 0.\nAnswer: 192*sqrt(11) + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -53506156 at most as big as -53506159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1323120 (base 7) in base 12?\nAnswer: -84810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -512, 1, 4\/7, 6307\/5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-28 + 4)*(-12)\/16. What is the highest common divisor of q and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -17*j**2 + 112*j - 16. Let g(b) = -5*b**2 + b - 3. Give 5*g(d) - q(d).\nAnswer: -8*d**2 - 107*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-383843)\/(-42143) - (11 + (-5 - -3)).\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 5*f**2 - 2*f - 3. Calculate m(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -2\/459, 1\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p**2 + 52*p - 38. Calculate b(18).\nAnswer: -1046","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2632441766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.3 (b) -2 (c) -16.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -186*k**2 - 192*k + 562. What is m(3)?\nAnswer: -1688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -17?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 2) in base 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -7706573.13 to the nearest 100000.\nAnswer: -7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a week?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17958682.\nAnswer: 2, 7, 1282763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1748532659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-77)\/(-28) + 3 + 2*-3. Which is the closest to 2? (a) -3 (b) 1\/7 (c) k (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-2 - (-1)\/2) + (-12 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 212762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/16*(-3)\/((-3)\/2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 + -61. What is the remainder when m is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.11 - 0.11. Let n = j + -3.99998. What is n rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.52 * -0.0562\nAnswer: -0.703624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 36.63175 kilograms?\nAnswer: 0.03663175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 140*i**3 + 493*i**3 - 217*i**3 - 140*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -71*b**3\/3 + 49*b**2 - 150. What is the second derivative of k(a) wrt a?\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - g = -32, 2*g - 27 = 4*q + 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2012 (base 3) to base 5\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2001221220012 - 110202?\nAnswer: 2001221102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -5. Let c be (0\/(-1 - h))\/1. Solve c*b + b = -1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25687*w**4 - 364*w**2 + 488837704*w.\nAnswer: -308244*w**2 - 728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqf when three letters picked without replacement from ffkqkjjakqfakqkkqq.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 222, 3, -3, -1\/4 in decreasing order.\nAnswer: 222, 3, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p + 32. Let y be z(-10). Is ((-13)\/(91\/(-14)))\/(y\/677) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**4 + 276*t**3 - 596*t**2 - 2004*t - 1136 = 0. What is t?\nAnswer: -71, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.7 - 12.70071. What is n rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*n + 1611, -3*g = -2*n + 4*n - 4875. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 2*z - 72. Suppose -7 = -5*d + z. Solve m - 3*k - 2 = 0, d*m = -0*m + 3*k + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2167 + -1936. Calculate the highest common factor of s and 511.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/21453 or -1?\nAnswer: -2\/21453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*j - 23*j = 2565135 + 2594462. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = 10*a + 28*a - 15*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2201 and 1136.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 118*y - y - 585. Solve 3*t - y = -i, t + 8*i - 4*i + 2 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 2*l - 2. Let d(u) = 15*u**2 - 12*u - 12. Let i(t) = d(t) - 6*m(t). Let z(g) = 17*g. What is i(z(v))?\nAnswer: 2601*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5*i - 221 = -0*v, -2*i - 106 = -2*v. Does 27 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -592 + 631. What is the lowest common multiple of 1155 and x?\nAnswer: 15015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -0.17, -160?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6 + 13*a + 29\/3*a**2 + 3*a**3 + 1\/3*a**4.\nAnswer: (a + 1)*(a + 2)*(a + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(16\/(-12)))\/(6\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/(((-16)\/(-40))\/((-4)\/(-15))). Let k(u) = u + 1. Let f be k(2). Factor q**f - 15*q + 2 + 4*q**2 + o*q + 0*q**2.\nAnswer: (q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 3. Let v be g(3). Suppose -4*j + 5*p = -3*j + 1, 2*j - 3*p - 12 = v. Do 9 and j have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4672526 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 46*w + 84.\nAnswer: 2*(w - 21)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -319, -2 in ascending order.\nAnswer: -319, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -964 + -2 + 0 + -2. Let x = 1746 + k. Calculate the common denominator of x\/(-40) - (-4)\/20 and -5\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47563956 equal to -47563955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -611365*n*s**3 - 15*n*s**2 - 3*n*s + 2307*n + 4*s**5 - 4*s**2 + 7 wrt s?\nAnswer: -3668190*n + 240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24776639?\nAnswer: 24776639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -90136150*l**2 + 198979951 wrt l.\nAnswer: -180272300*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*v - 8*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4921312 a multiple of 328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2535430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 22483*b - 179800. Determine f(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8.1, 3, -3, 0.15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3*-78529046\nAnswer: 235587138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39354\/5 - 328\/410?\nAnswer: 2, 5, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t**2 + 2*t + 7. Let d be o(5). Let h(l) = -4*l**2 - 7*l - 29. Let a be h(-5). Let f = a + d. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/7 and -18\/659483.\nAnswer: 4616381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2)*a)\/a)**(-32))**(-27) assuming a is positive.\nAnswer: a**(-1728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 63019914773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -34426215*l. Let c(x) = 3*x**2. Determine c(s(g)).\nAnswer: 3555492837678675*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11715 by 1065.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -f. Suppose -2*d = -6*d + 20. Solve -2*i + 0*i = d*u - 5, f = -5*u + 5*i + 40 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 7 - 9 = -4*g, 0 = -2*v. Let s(n) be the second derivative of 0*n**2 - 3*n + 0 - 1\/6*n**g - 1\/3*n**3. Solve s(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-6)*-14 + (-5 - -2). Let d(l) = l**3 + 6*l**2 - 6. Let k(f) = f**3 - 17*f**2 + 19*f - 17. Calculate the remainder when d(v) is divided by k(16).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z + 13. Let i(q) = -3*q + 12. Let o(s) = 3*i(s) - 2*m(s). Is o(8) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + v + 0*v)*(v - 5*v + 2*v)*(2*v - v + 0*v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6601*c + 257453. Determine u(39).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*(sqrt(1152) + 2*sqrt(1152)))\/(1*(sqrt(100) + (-6*((sqrt(100) - 1*sqrt(100)) + sqrt(100)) - sqrt(100)))).\nAnswer: -24*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 1. Let t(u) = -5*u**3 - 30*u**2 - 300*u - 1004. Let x(z) = 4*l(z) - t(z). Solve x(q) = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*n + 19 - 7, -2*r = -4*n + 18. What is the derivative of 2*j**3 - 36 - 11*j**3 - 3*j**n - 7*j**3 wrt j?\nAnswer: -57*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 2*a + 5*a)*((0*a**2 + a**2 + a**2)*(5*a - 5*a + a) - 2*a - 5 + 3*a**3 + 5).\nAnswer: 10*a**4 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100 - 74*g - 99 - g**2 - 15*g**2.\nAnswer: -16*g**2 - 74*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - (3 + -8))\/((-2)\/(-35)). Let a be (4 - 2)*(5 - x\/10). Solve 0 + a = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7453355088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18922353 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/16)*(a\/(a*a**(-2\/17)*a*a))\/a assuming a is positive.\nAnswer: a**(-835\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 1 = 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 6:55 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.22 + -0.12. Suppose 0 = 3*g + 8*g + 33. What is the closest to j in 3\/8, -5, g?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykk when three letters picked without replacement from ekkkekedeydkkkeekey?\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/982693738?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*c**2*h*j + 5*c**2*j - 2*c**2 + 212*c*j - 598*h*j with respect to h.\nAnswer: 48*c**2*j - 598*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4518 and 457824?\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kob when three letters picked without replacement from {y: 4, b: 10, k: 3, o: 3}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 22 + 38. Solve 5*r = u, -r = c - 2*r + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*(-4 + 0 + sqrt(325) + sqrt(325)) + (-1 + sqrt(325)*-2 - (sqrt(325)*-1 + -4))**2 + -3.\nAnswer: -40*sqrt(13) + 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3156 divided by -1578?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*q + 20. Let p(c) = -4*c**3 + 4*c**3 + q*c**2 + 3*c + 5 - c**3. Calculate p(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/9)\/((-4)\/(4 - -128)). Suppose d + 5*a + 23 = 0, -4*d - 3 = 3*a + 4. Suppose 5*p - v = -k + 4*p, -4*k = -d*p - 458. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 99*p + 1982. Let a be b(-20). Solve -26 = -6*y - a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -20*g**2 - 28*g - 58. Let a(w) = -9*w**2 - w + 1. Let r(t) = 2*a(t) - n(t). Factor r(z).\nAnswer: 2*(z + 3)*(z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 9:46 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3691794 rounded to the nearest 1000?\nAnswer: -3692000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 522729\/2 + 1\/2*l**2 + 723*l.\nAnswer: (l + 723)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12490.116 to the nearest one hundred.\nAnswer: -12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxjxsjasjjjjxxaaj. What is prob of picking 1 s and 1 a?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-80)\/(-24) + 2\/(-6). Suppose -5*s + w*f = -2*f + 10, 0 = 5*s - 2*f - 2. What is the units digit of s\/8 - (-19)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*c**2 + 1 + 1 - 2916294*c**3 + 6*c**4 - 5 - 1 + 2916306*c**3 in the form j*c + i*c**2 + l + r*c**3 + f*c**4 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w + w + w)*(-6*w + 16 + 11*w - 3*w) to i*w**2 + f + p*w and give p.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 370 = -i + 369, 0 = -i + 2*f + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnrrr. Give prob of picking 1 n and 1 r.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-4)\/(t\/t**(1\/11))*(t*(t**(2\/5)*t)\/t*t)**(-31) assuming t is positive.\nAnswer: t**(-4362\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 4*j**2 + 3. Let x be c(4). Let m(h) = -7*h + 4*h + h - x + 6*h. Determine m(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l - 1205*l**2 + 63*l - 69*l + 8*l - 762*l**6 wrt l.\nAnswer: -91440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 787520.5 millennia?\nAnswer: 9450246000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, 7\/5, 4, -3\/2, 0.5 in ascending order.\nAnswer: -3\/2, 0.5, 1, 7\/5, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**5 + 29525*b**4 + 10*b**3 + 17431078*b**2 wrt b?\nAnswer: -60*b**2 + 708600*b + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7550 + -18238. Let q = j - -10687.95017. Let i = -0.049 - q. What is i rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5239, 8600, 11911, 15148, 18287, 21304, 24175?\nAnswer: 26876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-2) + 3)*-22. Let v = -9 - d. Solve -v*m - 1 = 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5317, 10634, 15951, 21268?\nAnswer: 26585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (24\/16)\/(7\/(224\/60))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -470 < 1684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -38635.668 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ac (base 16) to base 4.\nAnswer: -2230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, i: 8, h: 4}. What is prob of sequence mh?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -g - 0. What is the common denominator of 49 and 1 - g\/(20\/101)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 562*x = 659*x - 1164 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 734942*-0.05\nAnswer: -36747.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**3 + 2*k**2 + k. Let g be x(-1). What is the second derivative of -5*l**4 - g*l + 3*l**5 + 5*l**4 wrt l?\nAnswer: 60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6 = -4*x, -13*x + 9*x = 5*u + 2. Sort -30, 38, u, -3 in ascending order.\nAnswer: -30, -3, u, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/216 + (-9)\/(7 - -2).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**3 - 29540*a**2 = 0 for a.\nAnswer: 0, 7385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 349 a factor of 99325051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 5.85.\nAnswer: 2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.751706 minutes in seconds?\nAnswer: 45.10236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 2*a, 2*a - 16 = -a - 2*c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*4\/(-176)*24\/(-9).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4069 and -10?\nAnswer: 40690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1176)\/(-245))\/(851\/(-805) + 1).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 10*q**2 - 13*q - 11. Let o(d) = -d**3 + 6*d**2 - 7*d + 5. Calculate the remainder when h(-9) is divided by o(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7 - (19\/(-57))\/(2\/72). Suppose 6 = 2*d + 2*b, d - 3*b - 31 = -d. Is r at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**2*n - 3*l**2 + 6198*l*n + 1320*l with respect to n.\nAnswer: 2*l**2 + 6198*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**7\/105 + 377*i**6\/30 - 31372*i**5\/5 + 7617071*i**4\/6 + 80971385*i**3\/3 - 4895*i**2. Factor x(y).\nAnswer: -2*(y - 253)**3*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 4*w**2 - 3*w + 5. Let h = -7 + 2. Let n be k(h). Is -7\/2 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 296 - 299. Sort 0, 0.95, h in increasing order.\nAnswer: h, 0, 0.95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -2*s**5\/35 - 3*s**4\/14 - 2*s**3\/21 + 3*s**2\/7 + 4*s\/7 + 5. Suppose n(t) = 0. Calculate t.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3942540 divided by -945\nAnswer: -4172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -172 - -173. Let n be 100\/36*(1 + v). Which is greater: n or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 43 (b) -0.1 (c) 0.2 (d) -2\/35 (e) -202\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6393.582 millimeters to nanometers.\nAnswer: 6393582000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*h + 580 = 175*h for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 0*b + 0*b)*(-6 + 1 + 2)*(-478*b**2 + 33*b**2 + 300*b**2 - 839*b**2).\nAnswer: 2952*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -82.494 and 0.2?\nAnswer: 82.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 9 = -3*s, 0*n - 4*n + 9 = -s. Suppose -n*i = i - 6. What is the third derivative of -2*l**i - 73 - 4*l**3 + 73 wrt l?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 572 + 383. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/9660 and 199\/15180.\nAnswer: 106260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1927*c**2 - 8*c - 70. Let n(f) = -2*f - 1. Let p(t) = -k(t) + 4*n(t). Differentiate p(m) wrt m.\nAnswer: 3854*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**3 + 22*u**2 + u + 11. Let d be c(-11). Sort -6, 1, d in descending order.\nAnswer: 1, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47614071 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 393 = -483 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 865639 is divided by 56.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 17, y: 3}?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e841 - 2?\nAnswer: 1e83e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10570944 + 0.81486?\nAnswer: -10570943.18514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22391 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -327 - -607. Let p = k + -1957\/7. Which is the closest to -0.2? (a) -2 (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 10 = -38. Suppose 1 = -2*x - 5. Let d = x + b. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 78, 182, 300, 438, 602, 798, 1032, 1310?\n\"Answer: t**3 + t**2 + 94*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 61 - 36680545311\nAnswer: -36680545250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 + (81 - 74)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 35. What is the remainder when (-3429)\/(-54) + 44\/8 is divided by h(0)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7*d**2 - 10336*d + 44. Let w(t) = -t**2 - 1474*t + 6. What is -4*s(i) + 29*w(i)?\nAnswer: -i**2 - 1402*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7012473862 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -0.2. Let s = -53.93 + 52.2. Let p = -3.73 - s. What is the fourth smallest value in g, 0.1, -4\/7, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h**3 - 55*h**2 + 127*h - 96. Let v(x) = -52*x + 10*x + 18*x**2 + 32 + 73*x**3 - 71*x**3. Let q(b) = -6*u(b) - 17*v(b). Solve q(y) = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4\/5, 121, 3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g**3 + 860*g**2 + 2108*g + 840 = 0. What is g?\nAnswer: -105, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -229 times -0.3?\nAnswer: 68.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r**5 + 12895*r**4 + 108145*r**3 + 307765*r**2 + 325410*r + 78120 = 0. What is r?\nAnswer: -3, -2, -1\/3, 868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(7) + 2) - (sqrt(7) - sqrt(70)\/(sqrt(20)\/sqrt(2))))*-4.\nAnswer: 48 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -3411*h**3\/2 - 8085*h. Let w(y) = y**2. Determine w(p(f)).\nAnswer: 104714289*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 30*d**3 - 3*d**2 + 4*d - 3. What is k(1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29 - s - 10 - 135*s**2 + 10 - 64 wrt s?\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6872 - 6872. Let j(l) be the third derivative of -l**6\/120 + l**5\/60 + l**4\/24 - 5*l**3\/3 - 3*l**2. Give j(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -29 + t - 2*t + 42 - t. Let p(j) = j - 9. What is 7*p(l) + 5*v(l)?\nAnswer: -3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - 2\/3*33\/(-22). Let c(g) be the third derivative of 0*g**6 + 0*g**5 + 2*g**2 + i*g**3 + 1\/70*g**7 + 0*g + 0*g**4 + 0. Factor c(p).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -242023, -5.\nAnswer: -242023, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 22733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328406?\nAnswer: 2, 13, 17, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -49 + (-189 - -217) - (0 - 60)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 5:33 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8510 is divided by 129?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -145249000 to the nearest one million.\nAnswer: -145000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 9*r**2 - 2*r + 6. Let d be z(7). Let h = d + 217\/2. Which is the closest to 3? (a) -1\/6 (b) 0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4512? (a) -2 (b) 9\/5 (c) -5 (d) -0.042 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -23*j**5\/10 - j**4\/6 + j**3\/6 + 3*j. Let q be u(1). Let n = q + 84. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a**4 + 7*a**4 - a**3 - 160*a + 158*a - 1 in the form l*a + m*a**4 + v + r*a**2 + z*a**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5720.332 + 3870.4467. Let t = b + 1850. What is t rounded to 3 dps?\nAnswer: 0.115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16 - 1\/((-2)\/(-4)). Let d be 4*(-3 - 68\/(-16)). Suppose d*t - o = 1. Solve -t*p + 3 = -6*r + 3*r, 4*p = 5*r + 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 21*s**2 + s + 3. Let z be n(21). What is the units digit of 492\/7 - z\/84?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + c**2 + 2*c - 8. Let f(q) = 3*q**3 + 2*q**2 + 5*q - 15. Let w(l) = 2*f(l) - 5*p(l). What are the prime factors of w(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3805.868 to the nearest integer.\nAnswer: -3806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 37, -372.\nAnswer: -372, 0, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -13*t. Let g(p) be the third derivative of -13*p**4\/24 - 6*p**2. Let j(h) = -6*g(h) + 5*w(h). Let i(u) = 3*u**2. Calculate j(i(y)).\nAnswer: 39*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.07473 tonnes in milligrams?\nAnswer: 7074730000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*d**2 - 20651920 + 19*d**2 + 20651920 - 50*d**2.\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 12*q + 13*q - 7*q + 1. Let m(o) = 3*o - 5. Let l be m(2). Let u be t(l). Solve 5*i + 3*c + 23 = i, 4*i - c = -u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 579 divide 16949610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*21\/(-28)*-6.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(8*6\/48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**5\/30 + 5*v**3\/6 + v**2. Find the first derivative of s(f) wrt f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**3 + 11*t**2 + 7*t + 15. Let c(d) = -2*d**3 - 6*d**2 - 4*d - 8. What is 11*c(b) + 6*j(b)?\nAnswer: 2*b**3 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-10)*(-2 - (-16)\/4). List the prime factors of n + (-210)\/(-8) + 27\/36.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 19, 21, 2 in descending order.\nAnswer: 21, 19, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/3*(-48)\/108*48\/2176.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22.89 * -4\nAnswer: -91.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + f + 7. Let g be r(3). Suppose -1 = 2*t + 4*a + g, -3*t = 5*a. Solve -5*s = -4*h - 40, -h + 4*h + 35 = t*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*c + 6*c. Let y = c - 3. Let s = 0 + y. Which is smaller: 4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 191, 2, -2, 0, -175340 in decreasing order.\nAnswer: 191, 2, 0, -2, -175340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 19*x - 15. What are the prime factors of a(7)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*r - 18*r = -6116 - 68431. Suppose -h + 2*o = 65, 140 = -2*h - h - 5*o. Let a be h\/(-2) - (-2)\/(-4). What is the highest common factor of r and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-12) - 13\/3. What is the remainder when (-29)\/(-3*(-3)\/(-9)) + u is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + -3 - 29)*1\/(-3). Suppose 0 = v*c + 16*c - 7225000. What is c rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a litre in millilitres?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -356849, -356855, -356865, -356879?\nAnswer: -356897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 664020253?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2746 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 32, 37, 42, 47?\n\"Answer: 5*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 7:23 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 10, 0 = -2*j + 3*o + o + 1048. Suppose x - 82 = -p + 30, 5*p - 3*x - j = 0. What are the prime factors of p?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7 and 38\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -20207*z**3 + 6*z**2 + 5*z + 4. Let n be q(-5). Let s be n - (-3 + (1 - -1)). Let k = s + -1796005. What is k rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654 (base 11) in base 9?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 2*m**2 + 4*m + 3. Let u be o(-2). Suppose u = b + 31. Let h be (2 + -2)\/2 - b. Solve 2*a - 4*j + h = 0, 0*a + 4*a = -5*j + 25 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {i: 3, t: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23619823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 0.2 (c) 1\/3 (d) 20.78 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/133104 and -21\/438134?\nAnswer: 10515216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*u**2 + 1 + 13*u - 13*u in the form r + a*u + i*u**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q. Let n(o) = 109*o + 50. Suppose -30 = -3*u - 4*l - 6, 0 = 2*l - 6. Let c(h) = u*f(h) + n(h). Differentiate c(y) wrt y.\nAnswer: 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 45 = 20. Suppose q = -z*g + 2*g, -5*g = 2*q + 1. Let h(o) = 120*o**2 - o + 1. What is the tens digit of h(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/12*236\/((-6)\/3). Suppose 53*l = f*l - 1878. What are the prime factors of l?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2238732.4115 + -2238721.001499439. Let b = m + -11.41. Round b to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/1420 and 13\/5.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 2*x + 38, 4*f + 24*x - 26*x + 32 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27452471?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**6\/180 - 2*n**3\/3 - 2*n**2. Let h(i) be the first derivative of l(i). Let a(r) = -4*r**2. Calculate a(h(p)).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1217 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4530)\/(-9) + (-12)\/(-18). Suppose -5*h + h - 4*m + w = 0, 0 = -5*m. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2464, -3338, -4212, -5086?\n\"Answer: -874*j - 1590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*w + 75*w + 18446*w + 66339 + 168948 = 0 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -6) + -7 + 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrp when four letters picked without replacement from rorpprp.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 419123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 1. Suppose 4 = -c*l + 9. Let n(h) = 6*h**2 + h. Determine n(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r - 5*r + 3*r)*((r**2 - r + 0 + 0)*(-2735002 - 1414*r + 2735002) + 2*r**3 - r**3 + r**3) in the form x*r**3 + n*r**4 + z + l*r + c*r**2 and give n.\nAnswer: 2824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -3*d**5\/20 - 3*d**4 - 21*d**3\/2 - 15*d**2 + 20*d. What is w in h(w) = 0?\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22012022012002 (base 3) to base 11\nAnswer: -2505730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 89396892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1218)\/126*(-3)\/5?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*b**4*m**3 - 17167*b**2*m**3 + 6693*b - 5*m**3 wrt b?\nAnswer: 516*b**2*m**3 - 34334*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -161.784064 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -32*((-130)\/(-72) + 1316\/(-846))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10334682.7 to the nearest ten thousand.\nAnswer: -10330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-45) - 175522\/(-18). Suppose -5*u + 2*b + f = 29245, -4*u = -b + 15597. Round u to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 8, 0.9, -0.1 in descending order.\nAnswer: 8, 3, 0.9, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -93. Let a(i) = -5*i**3 + i + 2. Calculate the least common multiple of g and a(-2).\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3\/4, -4, 2\/15, -0.5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101000 + -101?\nAnswer: -10101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**0)**(1\/67)\/(a**(-1)\/a)**(1\/4)*a\/a**3*a**(-6)\/a*(a\/a**(2\/15))\/(a*a**(4\/7)) assuming a is positive.\nAnswer: a**(-129301\/14070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 336 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2133 - 526 + 961 - 2104*f**3 wrt f?\nAnswer: -6312*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/6)\/(3*(-6)\/(-81)). Let z be k - (-6 - 4 - 2). What is the greatest common factor of 120 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -21*o + 217. Calculate a(7).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 13*j - 455211 = -2*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, p: 1, n: 2, s: 1, w: 3}. What is prob of picking 1 p, 1 x, 1 n, and 1 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-7) + (-8)\/28. Let s be 1\/(2\/12*r). Suppose 5 + 13 = s*d. What is the greatest common divisor of d and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**5\/20 - i**4 + 8*i**3 + 6*i**2. Solve u(s) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/4)\/1*(-80)\/(-30)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 40 = -3*f, 452334*o - 452329*o - 103 = 17*f for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*l + 384*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 49 and 1744444621.\nAnswer: 1744444670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 385151 divided by -2279.\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d**2 + 8*d. Let b(y) = -y**2 + y. Let h(k) = -5*b(k) + v(k). Let a = -6 + -6. Let u be (-4 + 0)*a\/(-16). What is h(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/(17\/612*-9)*-10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9803 + -9806.4906. What is y rounded to 2 decimal places?\nAnswer: -3.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15356791.\nAnswer: 73, 211, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - y - 1. Let m be q(2). Suppose -2*w = 5*x, -m*x - w = 3*w + 10. Let l = -1 + 2. Which is the third smallest value? (a) x (b) l (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000836489 rounded to 5 dps?\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-138)\/(-391)*3281\/100167.\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**2 + 384*z = 0. What is z?\nAnswer: -96, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (386\/2 + 0)*(-200)\/(-40)?\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -788c - 1?\nAnswer: -788d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -555, -15, 3, -5 in decreasing order.\nAnswer: 3, -5, -15, -555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 12:32 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 664*x**3 + 0*x**2 + 0*x**2 - 658*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*d + 1822 = 0, -4*d = z - 4*z - 1814. List the prime factors of z\/(-9) - 8\/24.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -272c94 - -2?\nAnswer: -272c92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 6*l**2 - 8*l - 7. Let y be d(-7). Suppose -18 = -y*w - 2*w. Does 11 divide 17 - w\/(-6)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b + 55. Let v(h) = -2*h - 3. Let j(x) = 24*x + 173. Let g(p) = j(p) + 2*v(p). Let a(t) = -2*g(t) + 7*r(t). Let i(f) = -2*f**2. Give a(i(m)).\nAnswer: -4*m**2 + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(-g + 0*g + 0*g) - 712 - 1561*g - 113*g + 709.\nAnswer: -1675*g - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1482 and 741.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 199 = 4*h - 3*h, c = -3*h + 199. Solve 0 = 3*x - 208 + c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*i + v, 2*i + 3*i + 4*v = 124. Let s(u) = u**2 + 9*u - 283. Let n be s(-22). Suppose m + i = n*m. What is m rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 81*l**2 + 1211*l + 26. Give i(13).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2543083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 32695 (base 15) to base 5\nAnswer: 20110430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1557, 1555, 1553, 1551?\nAnswer: 1549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 1. Let g(f) = -8*f + 6. Let m(y) be the first derivative of 7*y**3\/3 - y**2 + y - 4. Let s be m(1). Give s*i(k) - g(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*d - 4*d + 20*d - 2 + (4 - 4 - 1)*(-4*d - d + 3*d) + 5*d - 6*d + 2*d.\nAnswer: 10*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 + -25. Let f be (2 + (-112)\/x)*6. Suppose 0 = 2*o - o - 3. What is the third biggest value in o, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*n = 2*o + 12, o - 4 = n. Suppose -6135*c + 6137*c = 8. Suppose 3*h - 6 = 0, -o*h - 363 - 225 = -c*v. What are the prime factors of v?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 + 26*f + 19. Let o(w) = 3*w**2 + 47*w - 22. Let n be o(-16). Let u be c(n). What is the greatest common divisor of 133 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 + 5*i. Let t(o) be the second derivative of o**4\/12 - o**3 + 2*o + 418. Determine 6*q(h) + 5*t(h).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94.09113935 + -17.39109525. Let h = -76.7 + a. Round h to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-836)\/416 - -2)\/(4\/1076). Let t = -46\/13 + c. Find the common denominator of t and (-108)\/(-14) - 8\/(-28).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2600908.\nAnswer: 2, 650227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 5. Let v be m(-5). Suppose 3*h - 25 = 5*r, 10*h = 5*h - 5*r - 25. Solve v = -o - h*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = 2*k. Let v(l) = -8*l - 7*l - 3*l + 4*l. Give v(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 42050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4 - 532\/(-132)). Let o be (3*-2)\/((-4)\/(-294)). Find the common denominator of -63\/16 and -3 + o\/z + -3.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1121681 is divided by 1266.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 38 = 5*n + 548, 4*f = -2*n - 208. Round n to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2*t - 3644 = -3646, -5*t = b - 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 + 37?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**2 + 3. Let i be -1*(-2 + 3) + -2. Let g(r) = 11*r**2 + 7. Calculate i*g(j) + 7*o(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2297, -4360, -6421, -8480, -10537, -12592?\nAnswer: -14645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-282 + 1944 - 330)*(-a + a + 2*a) + (0*a + 4*a - 2*a)*(-1 + 1 + 2) - 3*a - 2*a + 3*a.\nAnswer: 2666*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(2*sqrt(12)*4 + sqrt(12)) + (sqrt(38)\/(sqrt(6)\/sqrt(3)) + sqrt(19) - sqrt(152)\/(sqrt(8)*2)))**2.\nAnswer: 15979\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55842133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7634555673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - 8*x)*(1657 - 826 - 818)*(2*x + 3*x - 6*x) to the form u + j*x**2 + m*x and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 96? (a) -2\/7 (b) 3 (c) 6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2040 and 61710.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 15 = -3*n, -20 = -4*j + j - 4*n. Suppose 21 = l - j*l. What is the greatest common divisor of 105 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 16) in base 3?\nAnswer: -11202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -6*j**3 + 2387*j**2 + 7623*j - 1617. What is u(401)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/5)\/((-80)\/(-600)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11144584*r**4*s - r**3*s**2 + 3218855*s**2 wrt r?\nAnswer: -44578336*r**3*s - 3*r**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9638113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(152)*-1 + (sqrt(152)*2 + sqrt(152))*6))\/(((sqrt(576)*-2)\/sqrt(12))\/(sqrt(6) - sqrt(24)\/sqrt(36))).\nAnswer: 38*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 129 in 0.3, 1, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -10480434.\nAnswer: 2\/5240217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -10. Let v = -25 - -55. Let i = -34 + v. What is the third smallest value in i, y, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 7:25 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 148 - 100. Determine u, given that u**3 - 6*u**3 + f*u**2 + 40 + 31*u - 18*u**2 - 91*u = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2300*a**2 + 76 + 2307*a**2 - a + 6*a. Let g(z) = 21*z**2 + 15*z + 226. Let b(c) = 4*g(c) - 11*k(c). Differentiate b(t) wrt t.\nAnswer: 14*t + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*m + 29*m + 2*m**3 - 419*m - 4*m**3.\nAnswer: -2*m**3 - 521*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8612 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 17*t**2 - 6*t + 22. Let c(v) = -6*v**2 - 2*v + 8. Let q(d) = 8*c(d) - 3*x(d). Determine q(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/8*-24*(-27)\/405*-10. Factor 4\/7*h**4 - g*h + 4*h**3 + 0 - 4\/7*h**2.\nAnswer: 4*h*(h - 1)*(h + 1)*(h + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and (-324)\/(-33) - 10\/(-55).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0599071 + -0.0599. What is h rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 481516*m + 454554*m - 899675*m.\nAnswer: 36395*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 9*z - 10. Let x be s(-7). Sort -4, 18, x in descending order.\nAnswer: 18, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20743 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/3*(-3)\/(-2). Let v = g + -1. Let m = 15822 - 15826. Which is the nearest to 1? (a) m (b) 1\/2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189658 (base 14) in base 8?\nAnswer: 3245276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 311426 - 311426 + 2965*d + (-1 + 1 - d)*(4 - 2 - 3) + 2 - 2 - 2*d.\nAnswer: 2964*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -102.54 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (127\/1270 - (-23)\/(-30))*(-1912938)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5*x\/(x\/x**12*x)*x)\/(x\/x**(-1))**(-18) assuming x is positive.\nAnswer: x**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45933.\nAnswer: 3, 61, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 + 10*l - 7. Suppose -21*v + 23*v = 10. Determine j(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 212 - 182. What is the remainder when i is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122354\/15 - 8160. Let b = 18\/5 - s. Let -2\/3 - 20\/3*m**2 + b*m**3 - 10\/3*m**4 + 10\/3*m + 2\/3*m**5 = 0. Calculate m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**5\/5 - 55*a**4 + 328*a**3\/3 - 2*a + 78. Find d, given that x(d) = 0.\nAnswer: 0, 1, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145 (base 8) to base 12.\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 441*h**3 + 7*h**2 + 10*h - 15. Let s(w) = -1324*w**3 - 20*w**2 - 28*w + 42. Let d(j) = 14*f(j) + 5*s(j). What is the third derivative of d(v) wrt v?\nAnswer: -2676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23191*d + 3177*d**3 + 23191*d.\nAnswer: 3177*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8*r**2 - 6. Let p(v) be the first derivative of -v**3\/3 - v - 8. Let c(x) = 6*p(x) - s(x). Let f(u) = -14*u. Determine c(f(t)).\nAnswer: 392*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1259\/4 less than or equal to -315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 13*(-1)\/9. Let f be ((-84)\/(-70))\/((-24)\/(-15)). Which is the third biggest value? (a) f (b) 1\/10 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 k when three letters picked without replacement from {k: 6, q: 3, i: 3, c: 2, s: 4}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0.5, -3, -39?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/15571 + 217703\/1510387. Which is greater: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1952 - -1957. Solve 24 = -3*r + 3*a, 0 = -3*r - d*a + 9 - 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwtwttwttwtwttwtww. What is prob of picking 2 w?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4*-2 - (-6 - 55). Suppose v - 40 - k = 0. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 4 = 2*m. Let d be (m + (-2)\/4)*250. Let t = d - 60. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(80))**2 + (sqrt(5) - sqrt(10)\/sqrt(2)*5 - sqrt(5)).\nAnswer: -5*sqrt(5) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -v - 3*f, 5*v - 2*f + 7*f = -15. Suppose -t + 69 = 5*w, -2*w + v*t + 5*t = -6. Solve 2 = w*r + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6941715 a multiple of 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2. Let j(s) = s**2 + 7*s + 3. Let a be j(-7). Suppose 5*z = 13 - a. Let r(i) = -63 - 27*i**2 + 5*i**z + 63. Determine b(r(h)).\nAnswer: 484*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -16. Let s = 13 + v. Suppose 19 = s*b - 76. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -11\/7 (c) -363\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.681 - 0.181. Let u = -1.5 - 10.5. Let f = m + u. Sort f, -0.4, -2\/9 in ascending order.\nAnswer: f, -0.4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23732741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*w + 1 = 0. Let j be (w\/((-1)\/1800))\/(72\/(-24960)). Round j to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 21 = -3*t, -3*t - 2*u = -6*u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 27 = d. What is the third derivative of -t**5 - 9*t**2 - t**2 + t**5 + d*t**6 wrt t?\nAnswer: 1080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2883)\/(-1116) + (-45)\/(-108)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 154.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 563671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38469 is divided by 12687.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 488 = -5*d, 4*d - 2*t = d + 308. Let h = d + -100. Solve 2*o + 12 = 2*a + 5*o, 3*a + 2*o - 13 = h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a. Let h(o) = -4*o**2 + 15 + 5*o - 8*o**2 + 5*o**2 + 6*o**2. Let r be h(7). Let d be b(r). Solve v + d = -1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15868 + 140003.55\nAnswer: 124135.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d - 19*d + 6 - 6.\nAnswer: -31*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 - 15*z**2 + 7*z + 115. What is a(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -144, -479, -1146, -2259, -3932, -6279?\nAnswer: -9414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 169.3763 to the nearest integer.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43757, -87875, -132017, -176189, -220397, -264647, -308945, -353297?\nAnswer: -397709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8.12, 3, -3\/2?\nAnswer: 8.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 8*y**2 - 260*y. Give b(12).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2\/6 + 640*h + 122880.\nAnswer: 5*(h + 384)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ok when two letters picked without replacement from {d: 2, k: 1, o: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -546, -1107, -1694, -2319, -2994?\nAnswer: -3731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/14)\/((-792)\/32). Which is bigger: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -60950, -121900, -182850?\n\"Answer: -60950*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/((-2)\/(2 + 3714)). Let r = m - -735. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**2 + u**2 + u**2 + (-4*u + u + 6*u)*(-2*u + 5*u - 4*u) - 2*u**2 + 4 - 4 as a*u + v*u**2 + m and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(5) + sqrt(10)\/(sqrt(8) - sqrt(2)))**2.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.9856469 months to decades.\nAnswer: 0.0165470575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 267, 139, -1, -153, -317, -493?\n\"Answer: -6*y**2 - 110*y + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/40 - (-8)\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-2)\/(-10) - (-6)\/(-360)*6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*(sqrt(245) - (sqrt(245) + 0)) - (-2*sqrt(245) + -2) - -3*((sqrt(245) + 1 + sqrt(245))*-3 + 4))**2.\nAnswer: -5600*sqrt(5) + 313725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*c - 10*c = -2252 + 15250 for c.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43868088 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/18, 326, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, w: 5, e: 2, s: 3}. What is prob of picking 1 s, 1 w, and 1 e?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 10:10 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -22\/15 (c) -30 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 522 - 65)*(-4*d - 5*d + 4*d) to the form a + i*d and give i.\nAnswer: -2275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6 - 5)*(-148 + 148 - 26*x)*(3*x**2 - 2*x + 2*x).\nAnswer: -546*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 32. Suppose 2*v - 1 - 1 = 0, -5*r + v + j = 0. Which is smaller: 4 or r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009660 to the power of 1\/2, to the nearest integer?\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**2 - 4*x**2 - 13*x**2 + 17*x**2.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2. Let f(y) = 40*y - 23. What is i(f(u))?\nAnswer: -1600*u**2 + 1840*u - 529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1179 + -734. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12766*x + 4 - 4 - 17217*x - 24993*x as u + d*x and give d.\nAnswer: -29444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-12) - (4 + (-27148)\/(-24)). Let v = n - -2298. List the prime factors of v.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, w: 2, d: 3}. Give prob of picking 1 w and 3 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*w - 9 = 0, 4*w - 8 = -5*g + 3*w. Let d = 315.3 + -315. Sort g, d, 2\/13 in descending order.\nAnswer: g, d, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 582 - 577. Solve -j*h = w + 18, 7*h - 3*h + 24 = 4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21310 - -20?\nAnswer: 21330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) 0 (c) -2\/9 (d) -34.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (38 + -31) - -6\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-711)\/(-243) + -3)\/((-2)\/6)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -160 - -1118\/7. Let o = 2 - -1. Put -4, o, w in decreasing order.\nAnswer: o, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25.3 + 0.3. Let n = d - -35. Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1506 - -1809. Calculate the highest common divisor of w and 1919.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167764 is divided by 5990?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 702, 1757, 3172, 4947, 7082, 9577, 12432?\n\"Answer: 180*z**2 + 515*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 22640000 to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 656121, 1312320, 1968517, 2624712, 3280905, 3937096, 4593285?\n\"Answer: -u**2 + 656202*u - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 118 + -233. Let d be (12\/(-28) - v\/7) + -4. Solve -3*j + n + d = -3*n, -4*n = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 + 5\/1731 + 7. Let t = 8431\/10963 + i. Calculate the common denominator of t and 62\/5.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 21*m + 35. Let u be w(-2). Let c be (-11 - (u + -1))*2\/3. Let g(o) = 2*o**2 + 3*o + 2. What is g(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.889 - -17.8. Round y to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5 + 1119*k**4 + 101511*k**3 - 529011*k**2 + 642978*k = 0 for k.\nAnswer: -189, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -228, -225, -210, -177, -120?\n\"Answer: q**3 - 4*q - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**3 + 82812*t**2 + 826524*t - 24748828 = 0 for t.\nAnswer: -20693, -23, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1100865 and 4029?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*x = -40, 0*j - 4*x - 19 = -j. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100102 (base 3) to base 5.\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + y = 10405 - 10402, 0 = -10*j - y - 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**5 - 14268305*l**3 - 36746070*l wrt l.\nAnswer: 40*l**3 - 85609830*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6770 + -6769.9999887. What is i rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145363721, 145363717, 145363713, 145363709?\nAnswer: 145363705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 2*b**2 - 4. What is a(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 7:18 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8378? (a) 5\/2 (b) -0.9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.85.\nAnswer: 2.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 434 divide 109103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2341687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -2. Suppose 0*y - p*y = 2*z - 265, -4*y + 212 = -2*z. Let w = y + 37. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/12 and 71\/676.\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224) + (sqrt(224) - (3*sqrt(224)*1 - sqrt(224))))\/((sqrt(800) - (sqrt(800) - -2*sqrt(800)))*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-264)*28*(6\/(-21))\/(-2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 496.21 to 0 decimal places.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177991, -356036, -534079, -712120, -890159, -1068196?\nAnswer: -1246231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 19. Suppose -5*j + 4*r + 46500 = 3*r, c*j - 18622 = -4*r. Suppose -b - b - 3717 = 3*g, 5*b + j = g. Round b to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -26*v**2 + 25*v + 2. What is x(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 722 or -0.536?\nAnswer: 722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**2 - 2*n + 1. Let q be z(-2). Let u = q + 9. Find the second derivative of u*s + s**2 + s - 4*s + 3*s**2 wrt s.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127, -1, 68.\nAnswer: -127, -1, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4337137284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 211 - 206. Which is the nearest to 1.6? (a) n (b) -5\/3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -12\/11, 1, -0.064?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12888360 rounded to the nearest 10000?\nAnswer: 12890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4377*u + 4388. Let g be c(-1). Calculate the highest common factor of 19349 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300 divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 5*v - 4, 2*n + v - 3 = 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022 times 124?\nAnswer: 2.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + -55. Put v, 0.5, 1 in decreasing order.\nAnswer: 1, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*b**3 - 16*b - 41*b**3 + 48*b**2 - 48*b**2.\nAnswer: b**3 - 16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8838 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 + 22*b + 1652. Determine m(-23).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70\/(-4)*((-395)\/10)\/((-40)\/(-1472)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-9) + (-32)\/8)*27\/(-1044).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405745727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 47, -198, -541, -982, -1521, -2158, -2893?\n\"Answer: -49*u**2 - 98*u + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-515)\/(-20) - (-2)\/8. Suppose -4*n - 3*b = -19, 2*b + q = 5*n + 5*b. Suppose 80 = -2*j + n*j. Solve 2*c - j = 6*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 115800 and 856920?\nAnswer: 4284600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence agaa when four letters picked without replacement from gggagggaggagaggagg.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/24*(-43155)\/1918?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k - k + 0*k + (-3 + 6 - 2)*(-3*k + 0*k + 2*k) + 2 + 6*k - 2.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b - 164. Let n be i(-33). Is n greater than 0.51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**3*p - k**2*p - k**2 + 13*k*p - 2*k + 2*p wrt k?\nAnswer: 12*k*p - 2*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 14440*o**2 + 1199484*o - 3468600.\nAnswer: 4*(o - 3525)*(o - 82)*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*2390.4\nAnswer: 1195.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 5*m + 2813, 3*t = -m - 3655 + 12136. What are the prime factors of (-5)\/(15\/2) + t\/12?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*r + 180 = -16*r + 37*r. Solve r*t = t + 6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7037977752 a multiple of 19578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1044*t + 481*t + 3577*t.\nAnswer: 5102*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-6)*(-11)\/((-11)\/8). Suppose -y = -6*y + 4*s + 58, v*y + 3*s - 34 = 0. Solve 0*b + 2*b + y = 4*q, q - 15 = -2*b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 793.\nAnswer: 2379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53252 is divided by 26626.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 - 279*z**2 + 418*z + 483. Calculate h(-141).\nAnswer: 1188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 - 15. Let r = 75 - 46. Let d = f - r. Which is the closest to -2? (a) 1\/2 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 6:10 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + 5 + 3 + (((sqrt(176) - sqrt(11)) + sqrt(11) + -5)*1)**2 + -1)*4.\nAnswer: -960*sqrt(11) + 4920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -6. Let y(r) = x*r**2 + 0*r**2 - 3*r**2 + 2*r**2. Let z(j) = 2*j. What is y(z(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180, -435, -780, -1221, -1764, -2415?\nAnswer: -3180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 180278?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m + 4 - 6884*m**3 + 6883*m**3 + 1 - m**2. What is u(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2086488 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, -6, 10658, -0.2, 1, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/10)\/((4\/5)\/(-4)). Let u = 1 + x. Solve -12 = -u*b + 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k + 65 - 296. Suppose -4*c - 69 = -205. Suppose 2*w = -5*b + c, -3*b - 68 = -4*w - 7*b. Calculate the remainder when k is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46985?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 131768.52 less than 28665.8?\nAnswer: -103102.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**3\/5 + 119118*d**2\/5 + 1182424827*d\/5 = 0.\nAnswer: -19853, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/5)\/(-21*464\/870)?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d + 16*d = 0. Suppose d = 4*x - 6 - 10. Sort -3, x, 0.05.\nAnswer: -3, 0.05, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**4\/4 + 7*j**3\/3 + 4*j - 71. Let r be (-1)\/((-2)\/(-14)*-1). What is g(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -732 + 1475. Suppose -a = 17*c - 3191. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -189*m - 157. What are the prime factors of y(-7)?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and 2.4.\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5103.4 + -5103. Let k(p) be the second derivative of p**4\/12 + p**3\/3 - p**2\/2 - 6*p. Let j be k(-2). What is the fourth smallest value in 5, -4, f, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112) + 3 + 3.\nAnswer: 6 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -41752 (b) -3 (c) -2\/7 (d) -1\/7 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7420501 (base 8) to base 5\nAnswer: 1001141333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63.7 - -67. Let t = 3.2 - n. Which is the closest to t? (a) -5 (b) 4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 3 + 3 + 7 + 18. Let i be o(15). Suppose -r - 4 + 6 = 0. Calculate the greatest common divisor of i and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10570, 21156, 31742, 42328?\nAnswer: 52914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-22 - (-12 + -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1900 divided by -38\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r = 25*r + 3*q + 10, 4*r = 5*q + 22. Which is the smallest value? (a) 1\/2 (b) 0.64 (c) -3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 - 6*f + 2. Let n(q) = 4 - 2 - 2 - q. Let j(h) = 6*n(h) - v(h). Find the first derivative of j(x) wrt x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63679882*l**3 + 160162008.\nAnswer: -191039646*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/1044 + -10091\/1044. What is the common denominator of t and (-2)\/6*4824\/(-48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*g = 199*g. Let a(s) be the second derivative of -5*s + 1\/30*s**6 + 0*s**3 + g*s**5 + 0*s**4 + 0 - 25\/2*s**2. What is the derivative of a(t) wrt t?\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 105, 282, 577, 990?\n\"Answer: 59*o**2 + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/16)\/(((-1872)\/32)\/(-39))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/5658387 and 51\/3504088?\nAnswer: 2218087704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 1118645*j**4 - 1229800*j**3 + 338000*j**2 = 0.\nAnswer: 0, 260\/473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from wsddwldlssssd.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2. Let k(z) = -2*z**2 - 639. What is r(k(l))?\nAnswer: -8*l**4 - 5112*l**2 - 816642","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 10*u**2 + 9*u + 8. Let j be 4\/10*60\/3. Let n be t(j). What is the common denominator of -3\/22 and (8\/n)\/(4\/39)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuieeiiieeeuee. Give prob of picking 1 e and 1 i.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.22 (b) 1\/4 (c) 2 (d) -0.52 (e) 175\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 + 0 + 47\/(-30) and (164\/(-48) + 3 + -1)*-5?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r**5 + 187*r**4 + 5*r + 41 wrt r.\nAnswer: -40*r**3 + 2244*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 7, 0.5, -12, 1.26?\nAnswer: 1.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a kilogram in grams?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 + 3*j**3 + 9 - 8*j**2 + 12*j + 4. Let m(l) = 5*l**3 - 39*l**2 + 61*l + 66. Let c(p) = 2*m(p) - 11*u(p). What is the tens digit of c(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 9*r - 23. Let i(z) = -19*z + 50. Let c(l) = 13*a(l) + 6*i(l). Let m(p) = -2*p. Determine m(c(f)).\nAnswer: -6*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 432111599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175451 is divided by 175447.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 12*y**3. Let u be x(1). Suppose v - u = -0*v. Let w = 308670 + -308667. Solve 3*f = -3*q, v + 9 = -4*f + w*q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1693*o + 1685*o. Suppose o = 1332*r - 1331*r - 878. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**2 + v. Let w be r(1). Let p = -7.6 - 2.4. Let o = p + 13. What is the biggest value in -0.3, w, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -26, -3, 42, 109, 198, 309?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of y**3 + 3*y**2 + 69*y - 7114 wrt y.\nAnswer: 3*y**2 + 6*y + 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*o - 1722 = 0, -o - 4357 = -5*y + 2*o. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4295 + 4294.99989336. What is q rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-26874)\/(-1) - (-14 + (13 - -8)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 43 + 9. Let o = z + 0. What is the remainder when 49 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/11)*q**(-2\/15))\/((q*q\/(q**(-3\/2)*q))\/(q**(1\/2)*q)))**(6\/19) assuming q is positive.\nAnswer: q**(-314\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4867*u - 539984 + 42716 = 344*u - 849*u for u.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-248)\/((-518)\/560 - (-12)\/15). What is the greatest common factor of 128 and y?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/18007?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*d - 120*d + 112 = 106*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-392)\/(-32) - 12)*-44?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -19*u - 648, -3*g + 4384 - 4421 = u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 6*k**2 - 8*k - 1. Let t be w(-4). Let f(i) = 109*i**2 - 4*i - 2. Is f(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0*f = -665. Let z = f + 194. What are the prime factors of z?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 11*t + 102. Let k be g(-9). Sort 4, 0.2, -2\/7, k in decreasing order.\nAnswer: 4, k, 0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b + 110*b**3 + 7*b - 56*b**3 - 55*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - -8.7. Let z = r - 8. Let s be 20\/315 + 4\/18. Which is bigger: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2410837166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 43197 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -131*h**3 + 3*h + 3. Calculate a(-1).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -2. Let q be -20*(10\/(-4) + 2). Suppose 2*t - q = -6. Solve 0 = -2*l - a*l - t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m. Let j(c) = 2*c + 8. Let q(u) = 3*d(u) + j(u). Let k be q(0). What is the units digit of ((-7)\/4)\/((-1)\/k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 - 75 = -11*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 44 = -4*h, -4*h - 2*p - 43 + 15 = 0. Let k(s) = -3*s + 4. What is the units digit of k(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*sqrt(637) - 2*sqrt(1053))**2 + ((sqrt(130) + -3*sqrt(130) - sqrt(130)) + sqrt(130) - sqrt(130))\/sqrt(10)*-5)*-2.\nAnswer: -48750 - 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 2*w - 18 - 0, -s = -5*w - 3. Let j be (-2 + 142\/72)*s\/6. Is 5 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 15 = 12. Is l > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 106 and 0.048.\nAnswer: 5.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -3 (b) 5 (c) -2\/723\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**4\/6 + p**3\/3 - p**2 + 3*p. Let n be i(-2). Differentiate 2*t**n + 5 - 6 + t**2 with respect to t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, -116, -379, -736, -1181, -1708, -2311, -2984?\nAnswer: -3721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -61*u - 120. What are the prime factors of t(-15)?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29*(-4 + -49) - (-3 - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 623529039 divided by 16149.\nAnswer: 38611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -h - 2*c - 7, 5*h + 2*c + 145 = 0. Let j = 62 + h. List the prime factors of j.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25993 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**8\/560 + z**7\/70 - 3*z**6\/100 - 97*z**2\/2 - 24. Let u(a) be the second derivative of i(a). Factor u(t).\nAnswer: -3*t**3*(t - 3)*(t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 107 - 104. Solve 0 = 3*m - 5*l - 30, -m + 4*m + 4*l = s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1045*v - 424*v - 415*v + 305*v.\nAnswer: -1579*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 4. Let k be l(2). Suppose -4*q + 17580 = 4*j, -5*j + 17575 = 6*q - k*q. Round q to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-83754)\/(-108))\/141)\/((2*-1)\/(-8)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 8*h**2 - 5606*h + 76909. Determine z(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 446672435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2, 27, 5\/3.\nAnswer: -10, 5\/3, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 15*l + 61. Let z be t(-8). Suppose -12 = -3*r - z*c + 3*c, -5*r - c + 27 = 0. Solve r*j + 13 - 1 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -579*r**2*v**3 + 635*r**2*v**2 + 7*r**2*v + 6*r*v**3 - r*v**2 + 10*r*v + 4*r - 27*v**3 + 3*v wrt v.\nAnswer: -3474*r**2 + 36*r - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -1\/6*f**4 - 6*f**2 - 28*f + 0 - 5\/3*f**3. Let k(m) = 0. What is m?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0568 + -383709042.\nAnswer: -383709042.0568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -0.5 (c) 2\/121\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s + 2. Let y be b(-2). Suppose 2*g - 4*g - 4*p - 4 = 0, -5*g = 3*p - 4. Let x(z) = -86 - z**3 + 14*z**g - 3*z + 82 - 18*z**2. Calculate x(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6776062649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78991171 and 30815?\nAnswer: 6163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*h = 46*h - 15. Let t(p) be the first derivative of -12\/5*p - 3\/20*p**4 - h + 0*p**2 + 3\/5*p**3. Let t(w) = 0. What is w?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -98, -72, -26, 46, 150, 292, 478?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 512005, 512004, 512003, 512002, 512001?\n\"Answer: -v + 512006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -430*a = 505*a - 1870. Solve 1625*b + 665\/3*b**3 - 15*b**4 + 1250\/3 - 1075*b**a = 0 for b.\nAnswer: -2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1020 and 765.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617405?\nAnswer: 5, 19, 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*f = 25*f - 6442 - 42846. Which is smaller: 2830\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 229300401 to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 55477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 1 (c) 1\/8 (d) -27.6 (e) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -395 + 403. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - u - 72, 3*u + 0*u = 0. Suppose 2*v = -v + 9. Let r be v\/(-5) + (-13)\/(-5). What is the greatest common factor of n and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3636\/8484 - ((-22)\/28 + 1)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*4*-6*5.\nAnswer: -120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 6775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.0062571 * -0.5\nAnswer: 0.00312855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, 0, 4 in descending order.\nAnswer: 71, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 343701 = 103411. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x - 8. Let v be c(2). Suppose -3*i + 6*d - 10 = d, -2*i - 3*d + v = 0. Suppose 5*h - 3 - 12 = i. Solve g + 0*g = h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**2 - 7. Let v(f) = 3*f - 2 + 2 - 3*f**2 - 6 - 1. Let o(s) = 5*s**2 - 7*s + 13. Let l(r) = 3*o(r) + 7*v(r). Calculate 5*l(i) - 7*u(i).\nAnswer: -2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -186.1 - -185.7. What is the closest to 0 in h, 1\/4, -3, -64?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00140424 to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1188417 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**3 - 3*s**2 - 3*s + 24. Let r(a) = 9*a**3 - 7*a**2 - 7*a + 49. Give -7*c(i) + 3*r(i).\nAnswer: -i**3 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -156 + 6*m + m - 7*m + 6*m to j*m + q and give q.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + sqrt(5)*3).\nAnswer: -8 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10042077 a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*h + 930 = 722. Let z = 0.2 + 1.8. What is the second biggest value in h, z, -2\/147?\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from rerrrggg.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(2 + 2*r - 2)*(-10*r**3 - r**3 - 45*r**3).\nAnswer: 112*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11850.\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqaaqmaqaaaqqamaaqaa. Give prob of sequence qam.\nAnswer: 77\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8923458.\nAnswer: 2, 3, 131, 11353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 144\/63 - (7 - 186\/(-14)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 7*j**2\/2 - 6*j - 2. Let d(r) = -r**3 - 2*r**2 - 3*r. Let h be d(-2). Is v(h) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from iyqceqpy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 925*b - 302*b - 307*b + 10170 - 297*b - 10170.\nAnswer: 19*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 4. Let t be d(9). Let m = 21 + t. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*q - 49 = 200*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172122713.\nAnswer: 7, 24588959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34680?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-708)\/(-590) - 88\/65.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -5*o**6\/6 - o**2 + 4. What is the second derivative of c(y) wrt y?\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 12*c - 12 = 0. Let y(j) = j**2 + 3*j - 10. Let u(n) = 1. Let o(g) = 3*u(g) + y(g). Calculate o(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86692.72075 + -86601.7. Let j = 91 - u. Let s = 0.02 + j. Round s to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(168))\/sqrt(12))\/(sqrt(343)*-1)*-2)**2.\nAnswer: 32\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbbb when four letters picked without replacement from {b: 4, t: 8, c: 2}?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 23*h**3 - 32*h + 17. Let m(z) = -8*z**3 + 11*z - 6. What is 6*c(x) + 17*m(x)?\nAnswer: 2*x**3 - 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 5, -72\/11, 0.4, 0.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38443 (base 9) to base 11.\nAnswer: -18496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = 3*a - 156. What is the fourth smallest value in 2, -0.2, a, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -800 - -847. Solve 3*d - r*o = -52*o + 10, -d + 4 = o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1785170739?\nAnswer: 3, 11, 54096083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19772779*n = 19772905*n - 8694 for n.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*((y\/((y**(3\/16)\/y)\/y*y*y))\/y)\/y*y)\/(y\/(y**(12\/5)*y)) assuming y is positive.\nAnswer: y**(257\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-79 - -20) + 21 + 51.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -346*w + 48. Let u(n) = 10. Give -5*u(g) + x(g).\nAnswer: -346*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 501239955?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6591417, 6591405, 6591393, 6591381?\n\"Answer: -12*o + 6591429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 382220 to the nearest 10000.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 2 = -4*k. Let n be 0 + (-9 - k) - 1. Let r(s) = -s - 4. Let a be r(n). Solve -a*z + 10 = 4*d, -d = -3*z - 7 - 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74 + 79. Which is the closest to 1? (a) 4 (b) j (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*r - 2234*r - 162000 for r.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from iisisisiisiisisiiii.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 37 = 5*n, 0 = -8*n + 7*n - 4*s - 3. Which is greater: 153 or n?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 92.51784 tonnes?\nAnswer: 92517840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5*g**3 + 5*g**2 + 10*g = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19937 + 29651 = 929*m - 843*m + 1685*m for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 702 divided by -351\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15418753 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -829539 at least -829532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*b - 4*n = -402*b - 14, 5 = -5*b - 2*n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, q: 5, s: 2, e: 8}. Give prob of picking 4 q.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.072 (b) 0 (c) 2 (d) -4 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-2 + -2 + sqrt(200)*2 + -1)*3)**2.\nAnswer: -1800*sqrt(2) + 7425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -220*r - 6 + 0*r**2 + 221*r + 3*r**2 to the form v + m*r + y*r**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbnbngnnbgybwbb. Give prob of picking 1 j and 1 y.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 2*g. Calculate i(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -k + 6. Suppose 2*u - k*u = -24. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 17. Let v = -9 + 11. Suppose -k*q = h + 12, -3*h + 2 = v*q - 2. Solve 0 = -h*l - 5 + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r + 38. Let k be w(-8). Let f = 3069 - 2156. Suppose 0 = 3*v - k*v + f. Does 57 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/((-36)\/(-27)))\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/15498 and 29\/72.\nAnswer: 61992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + -0.1. Let z = -14 + 14.1. Let r = z + -0.2. Put g, -2\/11, r in ascending order.\nAnswer: g, -2\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 + -32. Suppose 0 = 3*h + 1 - s. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 1525*m**5\/3 + 707602*m**4\/3 + 2296451*m**3 - 15896716*m**2\/3 + 8287340*m\/3 + 3632 = 0.\nAnswer: -454, -12, -2\/1525, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5\/3 + 51*v**4 + 2290*v**3\/3 + 8030*v**2\/3 - 763*v - 8183\/3 = 0.\nAnswer: -7, -1, 1, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -157088, 4, 8, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 2*k + 8, -k + 5*k + 76004 - 75996 = -12*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -681425, -1362842, -2044257, -2725670, -3407081?\n\"Answer: f**2 - 681420*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.017 (b) 10 (c) -1\/5 (d) 14 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 14*v**3 - 5*v**2 + 53*v - 213. Does 3 divide a(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -2 + (-7 - -3) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one quarter of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.805886 rounded to two decimal places?\nAnswer: 0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**2 - 19126*l + 38278. Determine d(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7*j. Let v(l) = l**2 + 18*l - 1. Let d be v(0). What is b(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4218 is divided by 2085.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d + 55?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 8*t**2 + 5*t + 4. Does 22 divide u(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 + 185 = d - 5*s, d = -5*s + 383. Does 7 divide 1\/(3*3\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, o: 11}. Give prob of sequence jjo.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + 5)\/(2\/8). Suppose -3*h = -z + 4*z - 48, 3*z - 5*h = k. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -226831535 divided by 45366307\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 13*f + 3. Let h be x(-13). Suppose h*m + 0*m - 15 = 0. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/16 and 2\/(-8)*56\/70?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 394 and -75?\nAnswer: -29550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 29699810 to the nearest 10000.\nAnswer: 29700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 15*w**2 - 11*w - 11. Determine m(6).\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-33)\/55 + 314\/(-10). Which is the biggest value? (a) z (b) -0.5 (c) -4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/63546 and 13\/11.\nAnswer: 699006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*c + 13299988, 4*c = 31*v - 30*v - 26600003. Round c to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, v: 5, y: 1, b: 2, e: 2, l: 1}. What is prob of picking 1 y and 1 l?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 r when three letters picked without replacement from {r: 4, q: 10}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5956 * 145.\nAnswer: -863620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126 (base 7) to base 9.\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 + 280*t**3 - 5868*t**2 + 33048*t.\nAnswer: -4*t*(t - 34)*(t - 27)*(t - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*z - 0 + 2, z + 2*c = 0. Suppose 4*a + z = -0*a. Let u be (-13)\/(52\/(-12)) + (-5 - 0). Put a, -4, u in descending order.\nAnswer: a, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3549699 is divided by 709933.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47476309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m + 1335 = -80*m + 2623 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 9 + 11 = 0. Suppose w = -5*y + 19, -z*y + 2*w + 12 = -6. Suppose 94*m + 58*m + 1 = 37*m + 116. Solve 3*g = h + y*g - m, 4*g = -5*h + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7154 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -31*w**4\/24 - 3*w**3 + 40*w**2. Let v be p(-12). Suppose -139*s = -136*s - v. What are the prime factors of s?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27971438, 55942873, 83914308, 111885743?\nAnswer: 139857178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7196010 by -6.\nAnswer: 1199335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405030110?\nAnswer: 2, 5, 167, 242533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12830\/37 at most as big as 348?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from {g: 3, l: 1, e: 1, d: 2, x: 6}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcdjdxcjxbjdhxbc. Give prob of sequence cbj.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -359\/4 + 89. Let b = 142 - 427\/3. What is the closest to b in v, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 10*i**2 - 4. Let w(j) = -35*j + 1. Let b be w(-1). Let x = -26 + b. Let q be s(x). Sort -2, 2, q in increasing order.\nAnswer: q, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.89 - 131.89. Let c = -2555.93 - -2427. Let x = c - w. What is x rounded to one dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 804*s - 53868.\nAnswer: -3*(s - 134)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1960\/84 + -22)*(1 - (-7)\/(-4)). Put -3, b, -14 in decreasing order.\nAnswer: b, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 10*r = 4*i + 208, 3*r + 2*i + 131 = 29 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -171.999999786 + 172. What is p rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 5*q - 35 = 0, -2*s - 42*q + 38*q = -26 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -520531.3, 1, 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x - 2*x - 2*x + 6*x as w*x + i and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-4))\/((-1)\/4). Suppose -x*u = u - 36. Let y = -3 + 11. What is the highest common divisor of y and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1995\/231 - 7)\/(84\/(-6160)).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - 35. Let n = -147 - -99. Let t = n - f. Sort t, -2, 0.2 in ascending order.\nAnswer: t, -2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (30\/(-25))\/(2\/(-5)). Suppose 0 = q*j + 7*j. Put 1, j, 4 in decreasing order.\nAnswer: 4, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + sqrt(396) + 1 + sqrt(396) + 6*(3 + sqrt(396)) + 0 + 2 + -4)**2.\nAnswer: 1824*sqrt(11) + 25705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5794461 is divided by 422?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppuppppupu. Give prob of picking 3 u.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 6 = -3*h. Suppose -h = 2*g - 14. What is the third derivative of 14*s**5 - 5*s**5 - g*s**2 + s**2 wrt s?\nAnswer: 540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 327168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34867.6 and -6.\nAnswer: -209205.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20594 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*p = p - 9, 3*a + 3*p = 15. Factor -1\/2*q**5 + 1\/2*q**a + 0*q**2 + 0 + 0*q**3 + 0*q.\nAnswer: -q**4*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 2. Let r be v(-6). Let f be (-72)\/(-20) - r\/10. Suppose 20 = -4*h, h - 308 = -f*o - 3*h. List the prime factors of o.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 59*o**2 + 10*o - 9. Let a be t(2). Does 8 divide 38\/a - 102\/(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 12*g + 8*g + 11463 - 11463 - g. Let x(m) = -2*m**2 - 11. Give x(p(r)).\nAnswer: -722*r**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -45673825 and -45673801 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1203101 (base 4) to base 2\nAnswer: 1100011010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*p + 36 = -41*p. What is the common denominator of (69\/99)\/(1*6\/p) and 61\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/504 and 53\/448.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 9*k**2 - 4*k + 18. Let g be v(9). Let d(t) = -2*t - 33. Let c be d(g). Solve -5*y = -3*z + z + 16, 0 = -c*y + 3*z - 15 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from {p: 2, k: 1, x: 4, i: 7, u: 3}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -211, -523, -989, -1603, -2359, -3251, -4273, -5419?\n\"Answer: i**3 - 83*i**2 - 70*i - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + k - 3 + (1 - 4 - 1)*(2*k - 2*k - k + (1 + 4 - 3)*(2*k - k + 0*k)) in the form q*k + f and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 211 + -8. Let r = -205 + x. Let i = -48 + 72. What is the second smallest value in i, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (1 - 10) + 3. Let m(o) = o**2 + 6*o + 5. Let l be m(j). Let x be -3 + l + -1 - 1. Solve -3*q + 15 = -x*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002211 to 5 decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -8*j**3 - 98*j**2 + 63*j + 1047. Give y(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -4. Suppose 57*f = 257 + 256. Suppose -v*p = -f*p + 5. Solve -p = -2*r + 3*w, -5*r + w + 4*w = 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129884, -129885, -129886?\nAnswer: -129887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 - 25 = 3*a. Let t(l) = 90*l**2. Let n(o) = 18*o**2. Let k(d) = -24*n(d) + 5*t(d). What is the least common multiple of a and k(1)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/9, 267, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 122907587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 451 and 5841229?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 g when three letters picked without replacement from {g: 2, s: 4, e: 9}?\nAnswer: 72\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 s, and 1 f when four letters picked without replacement from {x: 1, q: 1, f: 1, s: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 - 4 - (2 + -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v - 1\/6*v**3 + 0 - 1\/21*v**7 + 0*v**6 + 0*v**5 + 0*v**2 + 0*v**4. What is the second derivative of t(d) wrt d?\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -170*y**2 + 50*y. Let n(g) = -10*g**2 + 3*g. Let s(m) = -3*c(m) + 50*n(m). Let t = 1 - -1. Let x(u) = 23 - 23 + t*u**2. Give s(x(r)).\nAnswer: 40*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 2, -16, 5 in increasing order.\nAnswer: -16, -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10803 - 37287*k**2 + 10803.\nAnswer: -37287*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**3\/9 - 1520*o**2\/9 - 15536*o - 30400 = 0.\nAnswer: -228, -150, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2781 = 35*v + 16. What is the remainder when 388 is divided by v?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -215, -211, -205, -197?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 8:45 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -3, -458, 9 in decreasing order.\nAnswer: 9, 3, 1, -3, -458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = w - 420892, u + w + 420904 = 3*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 294 + 138. Suppose 2*w = 3*f + 271, 3*w = -0*f - 4*f + x. What are the prime factors of w?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from aawrk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y**2 + 4124*y - 4124*y + 11*y**2.\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*r**2 - 8*r + 6*r**2 + 2*r**2 - 7*r to the form s*r + m*r**2 + o and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 4*z + 30 - 62 + 6*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4215 - 4214.982938. Let f = -0.017 + x. What is f rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlvvlvl. Give prob of sequence llv.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -462 + -1.\nAnswer: -463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/2538 and 21\/2188.\nAnswer: 2776572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 8*x + 5. What is y(-9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 1 + 2*i + 3*i**3 - 2*i**3 - 10*i**3 + i**2. Let b be 1 - 0 - (0 - 1). Suppose b - 1 = -x. Give k(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times 0.2?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z. Let g(v) = 1029*v**2. Give g(s(u)).\nAnswer: 1029*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thh when three letters picked without replacement from theahzj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 864 - 372. Let d = s - 312. Round d to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + k - 1. Let h(u) = 4312*u**2 + 8*u - 9. What is -h(v) + 8*i(v)?\nAnswer: -4296*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 7*i**2 - 7*i - 8. Let l = 10 + -21. Let z(r) = -13*r**2 + 13*r + 15. Determine l*o(s) - 6*z(s).\nAnswer: s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1768)\/(-238)*(10 + (-78)\/12).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 3*j - 7, j + 53*s - 51*s - 3 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.101584 + -0.102. What is t rounded to 5 dps?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*j - 26*j + j**2 - 34*j + 4*j**3 as x*j + o + m*j**2 + z*j**3 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -4382739?\nAnswer: 21913695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -242 + 22*m**2 + 688*m**3 - 22*m**2 - 199 - 319*m**3 wrt m.\nAnswer: 1107*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**2 + 3*q**2 - 22*q**2 + 3*q**3 - 8*q**2.\nAnswer: 3*q**3 - 34*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 4*v**2 - v - 4. Let p be r(-4). Suppose -u + 2 + 5 = p. Suppose 5*h - 4 = u*h. Put -1, h, 4 in decreasing order.\nAnswer: 4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 8, 3*f - 9 = -3*i - 0*i. Let j = -18 + f. Let h(c) = -c**2 - 15*c - 3. Calculate the remainder when h(j) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -28*n - 681. Determine a(-26).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 7. Let r = k + 14. Calculate the remainder when r is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 0 - (-5)\/(-4). Let h be (-40)\/180 + 1304\/36. Let m be (-2 - (-6)\/h*14)*-1. Sort m, v, 0.1.\nAnswer: v, m, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62.2 + 51. Let l = h - -4.4. Let s = l + 7. Is -3 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -306.14719356 from 0.2.\nAnswer: 306.34719356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 0 + l - 1\/14*l**5 + 2\/7*l**2 - 1\/21*l**4 + 5\/21*l**3. Factor w(k).\nAnswer: -2*(k - 1)*(k + 1)*(5*k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**5 - 694*x**3 + 1383*x**2 wrt x?\nAnswer: -120*x**2 - 4164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 64 - (-2 + 0)\/2. Suppose -k = -5*q - 0*p + 5*p, 5*q + 2*p - 30 = 0. Suppose 8*h - 10*h = -46. Calculate the remainder when h is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 28. Let c(u) = u - n*u + 11*u. Let v be 132\/20 - (-6)\/(-10). Let x(p) = -p. Give v*x(o) + c(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-2)\/28)\/(4\/16)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnondloj. Give prob of picking 1 o and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 1, -4, 8\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/14)\/(78\/273))\/(-38).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 = 3*j - 2*j. Let f be (j\/(-30) + -5)*(-10)\/(-4). Let o be (-286)\/(-130) - (1 + 1). Which is the fourth smallest value? (a) o (b) 1 (c) -2 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 h when two letters picked without replacement from {d: 1, x: 6, m: 1, h: 1, f: 5, o: 3}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 - 5. Let r(i) = -i**2 - 3. Let x(m) = 3*k(m) - 5*r(m). Let q(j) be the third derivative of 11*j**4\/12 + 27*j**2 - 5*j. What is q(x(z))?\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*l + 28. What is the tens digit of (42\/(-1 - 6))\/((-1)\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 631.283 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-9))**(-15) assuming b is positive.\nAnswer: b**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 - 15*x + 32. Determine y(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 26 - 6)*(-2*k**3 + 205*k**5 - 217*k**5 + k**3).\nAnswer: -36*k**5 - 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 419632 to the nearest one thousand.\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*a + 32 = 4*l, 5*l = -4*a + 71. Suppose -3*i + l + 42 = 0. Calculate the remainder when 55 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 420?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqtqqtqtttqqqqpqqtqt. Give prob of picking 1 t and 2 q.\nAnswer: 77\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22803430223 take away 372?\nAnswer: 22803429851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.41 - 1.7. Let r = t - -1.29. Let x = -0.038 + -0.162. What is the nearest to 2 in x, r, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**3 - 1150*z**2 + 4621*z + 5770 = 0?\nAnswer: -1154, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -3)*(-2 - -1). Let i be 2\/w - 36\/15. Which is the nearest to i? (a) -3 (b) 0 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 356 + -358. Let w be -2 + 0 + 0 + 2. Let f be (4\/14 - w)*14. Which is the third smallest value? (a) 0.2 (b) j (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5635608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 1017*x - 260296. Calculate f(256).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 3:13 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 178238 (c) -0.4 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2.4992, -3, 2\/11, -11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p. Let j(u) = -154*u**2. Determine j(q(b)).\nAnswer: -9856*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4 = 7. Suppose 25000 = 5*k + 3*u, u = d*u. Let s be k*(-1)\/((-3)\/(-4980)). What is s rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*(sqrt(143) + 1*sqrt(143)) - ((-1*sqrt(143) - sqrt(143) - sqrt(143))*-1 + sqrt(143)))*-4)\/(-3*(sqrt(1100)*-1*-6 + 2*-2*sqrt(1100))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44711023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + b + b + 1 + 3*b**2 + 9*b**4 - 8*b**4 as z*b**2 + y*b + a*b**3 + t*b**4 + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s. Let x(b) = -906*b**2. Calculate x(w(h)).\nAnswer: -906*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 187?\nAnswer: -18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 152 - 89. Suppose -2 = -y + 20. What is the remainder when v is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 844382317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(40)\/(-2*sqrt(8) - sqrt(8)))**2 - ((1*sqrt(50))\/sqrt(10))**2).\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 1349?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -6757576?\nAnswer: -27030304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132840789 is divided by 2887842.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8562 less than -0.72?\nAnswer: -1.5762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 441030316?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 52*r**2 - 3108*r - 51156.\nAnswer: 4*(r - 29)*(r + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 196 = -68. Calculate the remainder when y is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -0*c. Suppose -68 = -4*a - c*a. Let k = 1257949 - 1257935. Solve j + 5*m - a = -0*j, 2*j + 5*m = k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 3\/1276 (b) -0.06 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (((-3)\/15)\/1)\/((-16456)\/147730) and 1\/(-3) + 61\/66?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 97*h - 910. Determine g(10).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55\/437 - 55963\/31464. What is the common denominator of l and 19\/204?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116236 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: Is 5 a factor of 12579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 8*g - 3. Let s be b(-7). Suppose s*n = -n - 20. Is (-532)\/6*6\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -303300 to the nearest 10000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 80 = 2*d, 100 = 6*j - 8*j + 2*d. Let a be ((-56)\/6)\/(10\/j). Suppose -3*q = -a - 66. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4733, -38398, -129781, -307742, -601141, -1038838, -1649693, -2462566?\n\"Answer: -4810*t**3 + t**2 + 2*t + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/7, -5, 0.2, -3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 6. Let d be l\/(-2) - 1 - (-735)\/(-1078). Let w = 4 - 1. Sort w, d, 0.1 in decreasing order.\nAnswer: w, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xph when three letters picked without replacement from pexihfxhf.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 6*d. Let m be q(6). Suppose i = g + 113, m = -4*i + g - 5*g + 476. Solve 0 = i*k - 112*k - 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 2*f**3\/3 - f. Let m(x) = 2*x. Give m(a(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a kilometer?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**6\/12 + n**5\/10 - n**4\/8 - n**3\/6 + 4. Factor q(u).\nAnswer: u**2*(u - 1)*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 4 + (4 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + f = -0*f + 129, k - 48 = -2*f. Let j = 66 - k. Is 19 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 + -48. Suppose 5*o = h + 23, -5*h - 2*o + j = -19. Find the second derivative of -3*x**2 - 8*x + 2*x - 5*x + 9*x**h wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r + 6. Let a(o) = -3*o + 7. Calculate 3*a(f) - 2*q(f).\nAnswer: -f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -44*b + 6. Let i(n) = 29*n - 4. Give 8*i(z) + 5*q(z).\nAnswer: 12*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 4*a + 487*a**2 + 497*a**2 - 1007*a**2 as m + i*a**2 + j*a and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.5 + -0.5. Let q = k + 3.8. What is the third biggest value in -0.5, q, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 125*r - 97. Let c(a) = 124*a - 96. Let z(i) = 4*c(i) - 3*j(i). What is the first derivative of z(o) wrt o?\nAnswer: 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + 2 + -2 - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 13510.\nAnswer: 40530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (((-1348392)\/16)\/19 + 0)\/(4\/(-40)).\nAnswer: 3, 5, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*r - 3*t, 0 = -4*r + t - 3*t - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2 = -5*x + 4*o, 3*o = 4*x + 2. Let b be (-4)\/18 + (-5)\/45*x. Let m be (5\/(-15) + 0)*b. Solve -2*t + 8 + 2 = m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - v - 2*v - 22, -5*v - 10 = 0. Suppose -j + 0 - 9 = -z, 5*z + 4*j = 0. Sort -2, y, z in increasing order.\nAnswer: y, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2*p + 142, -67*p + 64*p - 141 = -4*h. What is the highest common factor of 192 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -10*i**2 - 1. Let l(k) = k**2 + 4*k + 8. Let g(w) = 3*w**2 + 11*w + 22. Let u(a) = -4*g(a) + 11*l(a). Give n(u(s)).\nAnswer: -10*s**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 5. Suppose -2*n = 4*x + 12, 0 = 2*n + 3*x + 2*x + 14. Sort 13, n, d in increasing order.\nAnswer: n, d, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224340 (base 5) to base 7.\nAnswer: -32413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9973486 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: Evaluate ((544\/10)\/4)\/(-37 + (-36 - 2202\/(-30))).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 10 = 3*u - 4*u, -3*c = 3*u - 6. Let y = 14 - -23. Differentiate 7 + j**4 + 14*j**c - y + 17 wrt j.\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54\/50909 - -24833399\/38385386. Let s = -15\/26 + t. Is -1 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 13\/1058?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 977 + -867. What is the remainder when 113 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**2 - 91*c - 450. Let t be o(-15). Solve -11*y = -t*y - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2831463 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -639 - 634 + 9*p**3 + 1285.\nAnswer: 9*p**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 437585040 to the power of 1\/2, to the nearest integer?\nAnswer: 20919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 17*h**2 + 249*h + 40. Let l be k(-12). Let i be (-4 - 0)*1\/(-2). Let c be (l\/30)\/((-12050)\/6024 + i). Round c to the nearest 1000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - (sqrt(245) + (-3 + sqrt(245) - sqrt(245)) + 2) - (sqrt(245) - (-3 + 2*sqrt(245))))**2.\nAnswer: -28*sqrt(5) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 6*t**2 + t + 4. Let f be c(-6). Let o = f + 4. Solve -5*g = -3*j, o*j - 17 = 6*j - g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2749102184544 - 0.56?\nAnswer: -0.2850897815456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 times -3?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.080045878 to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.083410807737 - 0.05.\nAnswer: -0.133410807737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -99 - -94. Let f = 0.1 + 0.1. What is the closest to 1\/2 in 4, n, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 12. Suppose -4*f = -k + l, -f - 3 = 2*f. Let g = 4 - k. Solve 9 = q - g*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25\/300)\/((2*(-4)\/(-40))\/(-3))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7603369759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -22. Suppose -i + 8 = 4*t - 2*t, 4*t = c. What is the third derivative of 3*v**4 + 2*v**4 + v**2 - 4*v**i wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 14 - 4 = -3*p, -4*p = -12. Let y(r) = -r - 3. Let g be y(z). Suppose 0 = 3*m + 2*m + 5*m - 6*m. Are g and m nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100502?\nAnswer: 2, 31, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.04 + -2?\nAnswer: -3.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f + 2*o = 15*f + 5, 3*o = f + 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 57*u - 977. Determine i(16).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-1))\/(1*-1). Suppose x*z + 3*z = -5. Is z >= 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2261, -2132, -2003, -1874?\nAnswer: -1745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -29*s + 2. Let d(y) = 99*y - 33. What is d(f) + 6*l(f)?\nAnswer: -75*f - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w + 4*w - w)*(6983 - 14577 + 6761) to the form i + y*w and give y.\nAnswer: 833","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 153801*b + 307590.\nAnswer: 3*(b - 51265)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*z - 131, -5*z + 5*o + 125 = -0*z. Let d = 53 - z. What is the remainder when 119 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*n - 0*n. Let l be ((-3)\/2)\/(n - -4). Let o = -717\/11 - -65. Which is the closest to -1? (a) l (b) o (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**6 - 5923*t**5 + 313*t**2?\nAnswer: -120*t**3 - 355380*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2296572751 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 645*m = -647*m, m = 36*p + 13*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*z + 15. Suppose -z*d = -2*r - 134, -3*r - 58 = 2*d - 4*d. Calculate the greatest common divisor of d and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 5, 24893, -3, -4, -34 in decreasing order.\nAnswer: 24893, 5, 4, -1, -3, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 10*d - 15. Let n be t(2). Let u(g) = g**3 - 7*g**2 - g + 17. Let r be u(n). Put r, 4, -6\/7 in ascending order.\nAnswer: r, -6\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 138827 from 4.7.\nAnswer: -138822.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -666.1 and -1537.\nAnswer: 1023795.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*a - 0*a + 90. Solve a*n = 9*n - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a factor of 6716437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2) - 27\/(-6). Suppose 0 = -v - 0*v - 5*i + 19, -3*v + 17 = -h*i. Solve -25 = -v*f + 4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13442 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41778 and 14058.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2737, 2735, 2733, 2731?\n\"Answer: -2*g + 2739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 12*l**2 - 31*l + 19. Let v be x(14). Let o = -21 - v. Suppose o*c = -4*n, 12*n - 4*c - 12 = 8*n. Which is greater: -1\/31 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 29*a - 41. Let w = -122 + 126. Let v be k(w). Calculate the highest common factor of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -9*h + 1. Let t(a) = 2*a**2. Calculate o(t(s)).\nAnswer: -18*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*b + 2, 0 = -5*n + 2*b + 11 + 3. Let d(c) = 0*c + c - 1 - n*c. Let r = 28 + -24. Calculate d(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 144, 158, 140, 78?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 201 - 199.8. What is the nearest to -0.1 in -1, 4, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 5?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 7. Let u be x(-6). Let j = 385 - 405. Is j less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*w**3 - 21 - 19 + 40.\nAnswer: 124*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-180))\/((-96)\/(-20) - 5).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*a + 13. What is the biggest value in -2\/13, -1\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 808, 2925, 6454, 11395?\nAnswer: 17748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2270*j*n**3 - 627*j*n**2 - 2*j + 9*n + 165548 wrt n.\nAnswer: -13620*j*n - 1254*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/12 + -5)\/(99\/132)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53063007 = -17*d + 29058825. Suppose 4*w + d = 4*q - 24369288, 0 = -5*q - 5*w + 36500020. What is q rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-41895)\/(-150))\/(-49)*(-30)\/(-3).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26.0344l?\nAnswer: 26034.4","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/8)*d**(-5)*(d**(-1)\/d*d)**(13\/6)*d**7\/(d\/(d**(2\/13)\/d*d))*(((d*d\/((d*d**(2\/5))\/d)*d)\/d)\/d)**(-1\/15) assuming d is positive.\nAnswer: d**(-7237\/7800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 5. Let r = 2 + k. Let v = -1.8 - r. Which is the third smallest value? (a) 2 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12, 15, 18, 21, 24, 27?\n\"Answer: 3*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 15 = 5*r. Suppose 0 = 4*n + r*z - 14, 4*n - 7*z - 39 = -4*z. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27.59 - -0.59. Let c = 0 + b. Let k = -26.85 - c. What is k rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 30 = -5*d, 3*d - 2*d + 3 = 2*g. Suppose -d*s = -4*s + 18. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 87 = j, u - 3*j + 81 = 6*u. What is the lowest common multiple of 15 and u?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003202 rounded to 7 dps?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17430249?\nAnswer: 3, 83, 70001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52 + 52 - 7*t**2 - 56*t**3 - 26*t**2 wrt t.\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/9 + 40052*q\/9 - 66770\/3.\nAnswer: 2*(q - 5)*(q + 20031)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 0 + 6*v**2 - 5\/12*v**4 + 0*v**3 + 0*v. Let u(h) = -h**2. What is u(g(n))?\nAnswer: -100*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + (1 + sqrt(637))**2 + -1 + 3 + 2).\nAnswer: 14*sqrt(13) + 638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -29*a**3 + a. Let i = 155 - 150. Suppose -1 = -i*r - 3*w, 4*r + 0*w = -2*w. What is d(r)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from bkkkkkbkkkk.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2082*a*b**2 + a*b - 8*a + b - 1 wrt b.\nAnswer: 4164*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 422.\nAnswer: -3, 4, 422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/19 or 15\/4?\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 - 15*m + 151. Let j(z) = 2*z**3 - 2*z**2 + 11*z - 146. Determine -2*b(t) - 3*j(t).\nAnswer: -6*t**3 - 3*t + 136","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 713.33 minus -184.67?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -51536300 rounded to the nearest one hundred thousand?\nAnswer: -51500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -69993*a + 105. Let x(s) = -23331*s + 35. Let h(d) = 2*o(d) - 7*x(d). Let z be h(-15). Round z to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -144039*b**3 - 382*b**2 + 6446*b + 6949 wrt b?\nAnswer: -864234*b - 764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*(r*r**(-31))\/r)\/r)**(14\/9) assuming r is positive.\nAnswer: r**(-140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 - -5.08. Let o(l) = 14*l + 124. Let g be o(-9). Which is the nearest to 1? (a) w (b) 5\/4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 34408 = -2*h - 237875, 203466 = 5*p - h. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6859 - -0.6861904. Round l to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + h = -5, 2*x + 2*x = h + 5. Put 1\/19, 4, x in decreasing order.\nAnswer: 4, 1\/19, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 51817914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 38?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2026, 2465, 2934, 3433, 3962, 4521, 5110?\nAnswer: 5729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 240 = 242. Are 493 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 11*b**2 + b - 2. Let d be k(1). What is the highest common factor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10428 and 8.\nAnswer: 20856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -2*g**3\/3 + 24*g. Let p = 2 + -3. Let f be s(p). Solve -f*u + 2*u + 2 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 308*h**3 + 2*h**2 - 4*h - 8. Let r be m(-6). Let w = r - 65560. What is w rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 236 + -236. Which is smaller: -6 or d?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 12 = -4*n, 2 + 0 = n. Let j be 35\/(-14)*c\/(-5). Suppose 3*l - j*k - 92 = 2*l, 160 = 2*l + 4*k. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 165 - 190. Suppose -5*y + v*t = -0*y + 10, 2 = 4*y + t. Solve y = -q + 5*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 571*b = 575*b - 3272. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3289623936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 44 - 197 = 39 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 682141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a = 5*w - 14, 0 = -4*a - 3*w + 15. Suppose -a*d - 13 = -115. What is the highest common factor of 17 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 44 = 8*k. Suppose 5*o + 3*r = 61, 0 = -4*r - 1 - k. Let p(j) = 4*j**3 + 2*j**2 - 3*j + 2. Let m be p(1). Solve -o - 6 = m*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 + 5*j - 2. Let q be f(-4). Suppose -r + q = r. Let z(i) = i**2 + 2*i + 2. Calculate the remainder when z(r) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-2) + 6 + -7. Suppose -t + 5*d = -20, -2*t + x + 10 = -3*d. Suppose -4*y + 9 + 51 = t. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2 + 2\/3 + 4\/3*u = 0 for u.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-414)\/6486*-47?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(1 - -1)\/2. Let t be 1 + 0 - z\/2. Suppose t*d - 21 - 1 = 0. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -31 - 82*z - 68*z + 151*z - 6*z**2. Let r(c) = -5*c**2 + 3*c - 30. Let t(g) = -5*r(g) + 4*x(g). What is t(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*t - 268*t + 208*t - 104*t - 555*t.\nAnswer: -989*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 21. Solve -p + z = 5*m - 4*m, 4*m + 23 = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/60 of a minute?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -9*p**7\/14 - 2*p**4 + 6*p - 28. Let k(r) be the first derivative of i(r). What is the third derivative of k(f) wrt f?\nAnswer: -1620*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 2*q + 31827, -13*s = -18*s + 5*q + 31820. List the prime factors of s.\nAnswer: 5, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5326, -11140, -16954, -22768, -28582, -34396?\n\"Answer: -5814*g + 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -10*s**2 + 3*s + 2. Let a(m) = -61*m**2 + 26*m + 59. Let t(i) = -a(i) + 6*q(i). Calculate t(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 5*j**4\/4 + 10*j**3\/3 + 27*j**2\/2 - 7*j + 13. Let s(i) = -2*i**3 - 5*i**2 - 13*i + 4. Let x(n) = -3*f(n) - 7*s(n). Give x(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 1. Let u = -9 - -3. Let d be r(u). Let s = 4.9 - 5. Which is the closest to 1? (a) s (b) 2\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 14*v**2 + 14*v + 12. Let c be k(13). Calculate the greatest common factor of c and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1712, -5930, -17402, -39758, -76628, -131642?\nAnswer: -208430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(2\/13))\/v)\/(v**(-6\/11)*v*v))**(4\/9) assuming v is positive.\nAnswer: v**(-920\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 17\/3*f**3 + 0*f**4 + 21\/5*f**5 + 0*f - 46 - 1\/6*f**6 + 0*f**2. What is the third derivative of a(h) wrt h?\nAnswer: -60*h**2 + 504*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2912 divided by -11?\nAnswer: -2912\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17834489, 17834534, 17834577, 17834618?\n\"Answer: -u**2 + 48*u + 17834442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1006.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 62975458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + (-3*((1 + sqrt(1088) + sqrt(1088) - sqrt(1088)) + 4)**2 - (-2 + 1 + sqrt(1088) + -2 + sqrt(1088) + sqrt(1088))**2).\nAnswer: -13138 - 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*m - 2*r, -r = -3*m - 0*r + 14. Let i = 0 - -1. Which is the second smallest value? (a) i (b) 2\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1200, -1188, -1152, -1080, -960?\n\"Answer: 2*f**3 - 2*f - 1200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 + 5 - 8)*(10*p**2 - 4*p**4 + 6*p**4 - p**4).\nAnswer: 31*p**4 + 310*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -1492*x**2. Let j(i) = -622*i. Calculate j(p(f)).\nAnswer: 928024*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -256 + 251 + 40*w - 2*w + (-4 + 2 + 0)*(w + 2*w - 5*w) - 2*w + 0*w + 3*w - 3 + 3 + 5*w + (-4 + 3 - 1)*(4*w - 3*w - 2*w) + w - 4*w - w.\nAnswer: 46*w - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 6 + -1 + 1 + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2\/7 (b) -783 (c) -2\/7 (d) 62.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/15))**(1\/4) assuming z is positive.\nAnswer: z**(-1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 22*c - 11. Is 9 a factor of z(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*a = -24, -3*o + 2*o + 5*a = 1. Let r = o + -5. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 24\/7*n - 2*n**3 - 3\/28*n**4 + 6\/7*n**2 - 34 + 9\/35*n**5. Find h such that a(h) = 0.\nAnswer: -2, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 3*c - 7. Let h(x) = 1. Suppose 15 = -5*u - 0*u. Let t(l) = u*h(l) - a(l). Determine t(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -2*b**4 - 13*b**3\/3 - 3*b - 27. Let y(j) = -15*j**3 - 25*j**2 - 5. Let u(l) = -5*v(l) + 3*y(l). Factor u(a).\nAnswer: -5*a**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14629 + 14844. Calculate the remainder when 223 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21774523*t + 2 + 21774524*t - 2.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/4)\/(5 + (-129)\/24). Solve 45 = 5*d + 3*o + 2*o, -3*d = t*o - 31 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = i + 2*i. Let f be i + 12\/3 - -3. Let d = 26 + f. What is the greatest common divisor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -10*i**3 - 2*i**2 - 2*i - 1. Let a be l(-1). Suppose 28 - a = z. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -53*y**2 - 13*y - 13. Let g(a) = 4*a**2 + a + 1. Let t(o) = -26*g(o) - 2*m(o). Let j(w) = -55*w - 3. Calculate j(t(i)).\nAnswer: -110*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*j - 4*y, -y = -5*j - 1 - 10. Let q be 3 + j*(0 + 159\/(-6)). What is the highest common divisor of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 857*i + 860*i - 11 = 0, 2*i - 4 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -9, 0.16, -0.2, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/1*(77\/(-28))\/11. Let d be 19\/((-285)\/(-10))*15\/u. Solve -d*n = n - 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 1\/29, 4\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 898*r**3 - 47*r - 7 wrt r.\nAnswer: 5388*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11446 + 39?\nAnswer: -11408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 95829534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -5 (c) -15 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 724996*s - 24. Let y = -114 + 108. Let a be g(y). Round a to the nearest 100000.\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -754*r**2 - 991*r?\nAnswer: -1508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.15 * -0.5.\nAnswer: 6.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = o + o + 4, 5*o - 4*o = 5*b + 22*o + 64 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2. Let l(g) be the first derivative of 3*g**2\/2 + 100. What is l(w(v))?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z - 1997*z**4 - 1623*z**4 - 4*z**3 + 3938*z**4 + z**4 + 0*z**2 + 0*z**2 + (2 + 2*z**3 - 2)*(-z + z - 2*z) + 3 - 3 - z**4.\nAnswer: 314*z**4 - 4*z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -823*h + 251*h - 915 + 915 + 286*h + 288*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 1. Let y(s) be the first derivative of -15*s**2\/2 + 15*s + 1. Let z = 1 + -2. Let i(n) = z*y(n) + 18*w(n). What is the derivative of i(g) wrt g?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*f + 38*f + 5. Let v be 20\/50 - f\/35. Which is greater: v or -1\/17?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 0) + (-66 - -57)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6298006 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(2\/3)*a))\/a*a*a*a*(((a**(1\/3)*a)\/a)\/a*a)\/a*a*a*a**3\/(a\/(a**8*a)))**(-2) assuming a is positive.\nAnswer: a**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500) - (-2*sqrt(1500) - sqrt(1500)))\/sqrt(12).\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*t - 20, 4*t + 2*l - 34 = -t. Let g(n) = -5*n - 6 + n**2 + 2 + 1. Let c be g(6). Solve -c*s + t = -0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312287?\nAnswer: 59, 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126 by 50845.\nAnswer: -126\/50845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 17*z**2 - z - 19. Let t be b(16). What is the highest common factor of t and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 - 0.10612703871?\nAnswer: 67.89387296129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -99882.9 to the nearest one thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.06 (b) 1.3 (c) -5 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 123642789.\nAnswer: -5\/123642789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12dd (base 16) in base 15?\nAnswer: -166e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 913 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 11*k = 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -52873a3 - 1a?\nAnswer: -5287401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 14*c**2 - 7 - 16*c**2 - c**2 + 4*c**2 + (3 - 7 + 2)*(c**2 + 3*c**2 - 2*c**2).\nAnswer: -31*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -6*l**2 + 115*l + 36. Is t(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208623407 to the power of 1\/3, to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002009484 to six dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-14)\/1029)\/(((-1470)\/63)\/35).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-99*x + 50*x + 48*x - 7*x**4 - 12*x**2).\nAnswer: -14*x**4 - 24*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**6\/20 - r**5\/20 + r**3 + 132*r**2 - 30. Calculate d(2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(108\/42 - 3). Let s be 265\/(-30) - m\/(-42). Let z(d) = d**2 + 6*d + 6. Calculate z(s).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21953.81 to the nearest 100.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.02 (b) -3 (c) -1 (d) 3 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from tkkik?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x - 7*x - 8 + 16*x)*(-3*x**2 + x**4 + 3*x**2).\nAnswer: 2*x**5 - 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -61947.5359 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -173*m**2*z + m**2 - 2779*m*z wrt m.\nAnswer: -346*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8654033 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 10*v + 12. Let j(l) = l + 4. Let h be j(5). Let d be n(h). Suppose -22 = -d*r + 11. Calculate the remainder when 31 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.23121 + -0.12121. Which is the closest to -1? (a) w (b) 6\/13 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-426)\/27 + 7 + 2 + (-40)\/18?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 268274675*z**3 + 227*z**2 + 790024 wrt z?\nAnswer: 1609648050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11840 is divided by 11686?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 3 - (-5 + 4). Suppose -r*j + 2*j = 0. Let k = j - -12. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 + 38 + 36)*((2 - 4 + 0)*(-2 - 2*q + 2) + 15*q + 17*q - 34*q).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**5\/20 - f**3\/6 + 7*f**2\/2 - 6*f. Let n be l(0). Calculate the least common multiple of 22 and n + (4 - -8)\/4.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*((-1404)\/(-24) - 11)*9\/6. What is the highest common factor of 4465 and f?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1561?\nAnswer: 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 76628112961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 651338*n**2 + 1954007*n - 1302670.\nAnswer: (n - 651335)*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 18. Put 1, -1\/5, c in decreasing order.\nAnswer: c, 1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2645921653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 97037454 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 9:11 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 4, -21, -1, -11, 383 in descending order.\nAnswer: 383, 4, 3, 0, -1, -11, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + 1 - 1)*(0 - 3 + 2) + 57 - 9*u - 57 + 1 + u - 1 in the form k + n*u and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 110.92 + -139.2. Round v to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2. Let c(m) = -14*m + 385*m - 32827 + 32827. What is c(z(v))?\nAnswer: -371*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1420 and 20?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2974\/9 + -330. Sort d, -4, -2\/21 in ascending order.\nAnswer: -4, -2\/21, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqtttqttqq. What is prob of sequence tqtt?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 111*f**2 - 3*f**3 + 1 - 55*f**2 - 53*f**2. Suppose -1 = -4*c + n + 6, 2*n = 3*c - 9. Let s(k) = k**3 - 1. Determine c*j(y) + s(y).\nAnswer: -2*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 939937.1 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 11 - 13 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3*t - 21 = 0, 15 = -70*m + 68*m + 5*t for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 20 = 4*x. Let f be x\/(-8)*(-7 - 1). Solve 12 - f = 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijj when three letters picked without replacement from jqij?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7712 and 4097.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -143 + 100. Let a = 86 + c. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j + j + (-j - 1 + 1)*(-11 - 2 - 7) + 2*j - 1 + 1)*(0 - 4 + 0).\nAnswer: -92*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, 14, 4, 1030, -2, 0.\nAnswer: -2, 0, 4, 5, 10, 14, 1030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 30.2. Let u = s + -1.3. Let t = u - 6.9. What is the nearest to 8\/5 in -1\/2, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1840\/300)\/((-36)\/30) + (-3)\/(-27).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.2, -270666, 2 in increasing order.\nAnswer: -270666, -3, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -x + 2*x. Suppose 11*v + 718 = 839. What is the greatest common divisor of v and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 12.4. Let n = o - 10.6. Let v = 6 + n. What is the third biggest value in v, 1\/6, 3\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**8\/504 - d**6\/90 + d**4\/36 - 21*d**2. Suppose f(p) = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22990288 to the nearest integer?\nAnswer: 4795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15143 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/4*46\/(-69). Suppose -1 = -j - 4*y + s, 5*j - y + 1 = 0. Which is the nearest to j? (a) -0.4 (b) -1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x + 2. Let a be f(4). Suppose -d + 0*d + 4 = 0, 0 = 2*z + 2*d - a. Solve 0 = -z*q - 3*o + 6, -q - o + 6*o = -2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 0. Let x = v - 5. Let n = -2 - x. Is n at most 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1\/4, 2\/1803, -0.04 in decreasing order.\nAnswer: 2\/1803, -0.04, -1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(35\/10)*(-4)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17222 and 4?\nAnswer: -68888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 111010101110?\nAnswer: -111010101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/4*2)\/((-29)\/((-3248)\/21)))\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*p + 5254 - 5974 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -17418766?\nAnswer: 3\/17418766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t + t - 2*t)*((-2 + 2 - t)*(-4 + 2 + 4) + 1904 - 1904 + 1608*t) as u + y*t**2 + i*t and give y.\nAnswer: -1606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-21 + 35 - 22) + (6 - 5) + -7\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1084656?\nAnswer: 2, 3, 59, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/5)*d)**30)**(-18) assuming d is positive.\nAnswer: d**(-648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(((-4)\/(-6))\/(620\/(-186))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 76.66706 decades?\nAnswer: 9200.0472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 7150446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24092277 is divided by 4818452.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 1:20 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 911521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 1 - 4 - 16*q - 10*q - q**2 to the form r + b*q**2 + p*q and give p.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 273672766?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.8 + 0.8. Let a = z + 13.5. Let h be ((-9)\/3)\/(-2 + 1). Sort -4, h, a in increasing order.\nAnswer: -4, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c - 28. Let k = -90 + 81. Let y be a(k). Sort -0.1, y, 2\/7, 1.\nAnswer: y, -0.1, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 16 + 1)*(-3*w - 2*w + 2*w) + 1 - 1 + 2*w + 31*w - w + 2*w + (4 - 2 - 1)*(-12 + 4 + 2)*(w + 0*w - 3*w).\nAnswer: 112*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -108*x - 366. List the prime factors of w(-7).\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 + 51*c + 47. Let l be (13\/(-234)*-30)\/((-4 + 2)\/30). Calculate b(l).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83676276119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 58*f**2 - 9*f - 527. What is d(-58)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, b: 4, j: 8}. What is prob of sequence ba?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2)\/p*p)**19*((p\/(p**(-4\/5)*p))\/p)\/(p*p*p**(4\/7)*p*p))**(2\/53) assuming p is positive.\nAnswer: p**(-1664\/1855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1368818 or 1369147?\nAnswer: 1369147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/8 - s**2\/2 - 9*s\/8 + 9\/2.\nAnswer: (s - 4)*(s - 3)*(s + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and -0.00449.\nAnswer: 0.0003143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -137*6\/168 + (2 - -3). Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 952.00006992 + -952. Round b to 6 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3)\/(i\/(i**(-1\/2)*i)))\/((i**(-4\/7)\/i)\/((i\/i**(-6\/11))\/i))*(i**(2\/3))**(-15)*(i\/(i*i*i**(-1\/2)*i))**(8\/13) assuming i is positive.\nAnswer: i**(-51889\/6006)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/5)\/((-2)\/6). Let w = 6 + 2. Let r = w + c. Solve -r = d - 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2) - (-13)\/2. Suppose -x = -2*j + 10. What is the units digit of 138\/j - (-2)\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49 - -57. Suppose -9*s = -i*s - 135. What is the common denominator of -73\/39 and 9\/(s\/12) - (-76)\/(-45)?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((54\/108)\/((-2)\/4))\/((-4)\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4)\/((l**(-3)\/l)\/l)*l*l\/l**6*l*l**2)**(-17\/6) assuming l is positive.\nAnswer: l**(-85\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 1. Let n(t) = 12*t**2 - 5. Determine 2*n(w) - 10*v(w).\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 601, 1356, 2413, 3772, 5433, 7396?\nAnswer: 9661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 4*j - 9. Let h be t(4). Let c(m) = -m**3 + 22*m**2 + 21*m + 67. Let g be c(h). Sort -3, -0.1, g.\nAnswer: -3, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.8004 - 0.1996. What is the smallest value in 12, -5.9, v?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10574597*h**3*i**3 + 103*h*i**3 - 24*h + 67*i**3 + 4*i wrt h.\nAnswer: -63447582*h*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 29*h - 36. Let j be s(1). Let t be (j - (2 + -3)) + 5. Which is the third biggest value? (a) -7 (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 141, 118, 85, 42?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 2*d - 2. Let z be c(4). Suppose -16 = z*q - 2*q. What are the prime factors of (63\/(-4))\/9*q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 899504260 divided by 179900852.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {r: 2, c: 5, s: 12}?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73254 is divided by 6304.\nAnswer: 3910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 8 - (-11 + 12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 183768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l - 3. Let j(h) = -7*h - 7. Let m(x) = -5*c(x) + 2*j(x). Let w be m(-1). Differentiate 0 + w*u**2 - 1 - 3*u**2 wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-15))\/((-2)\/8)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(152) + sqrt(152))\/(sqrt(392) - sqrt(392)*-1).\nAnswer: 9*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + 2*sqrt(2448)))**2 + 2 + (5*(-3 + 2*sqrt(2448))*-2)**2.\nAnswer: -14640*sqrt(17) + 989919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 469 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 2*sqrt(76)*2 - (1*sqrt(76) - sqrt(76))*-5)\/(sqrt(8)\/(2*-5*sqrt(2))).\nAnswer: -50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*b*s*x**3 + b*x**3 - 14*b*x**2 - 3*s*x**3 - 5*s*x + 2*x**3 + 6*x**2 wrt x?\nAnswer: -90*b*s + 6*b - 18*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/35)\/(7\/(-70) - 0).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 43497.15 centuries?\nAnswer: 4349.715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -19*u - 147. Let q be m(-8). Suppose a = f - q*f + 332, 3*f = -3*a + 969. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/5 - 382*o**2\/5 + 7372*o - 14440.\nAnswer: (o - 190)**2*(o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000039950856 rounded to seven decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - -2. Let t = d + -6. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.681 - 239.319. Are p and 0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 760\/(-4)*(-4)\/8. Let h(t) = -t - 100 + 2*t - 5*t + u. Determine h(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7042586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l. Let y(n) = -2*n - 5. Let g(o) = -3*o - 9. Let u(a) = 3*g(a) - 5*y(a). Let m = 443 - 444. Determine m*u(q) - 2*i(q).\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 460458107 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1136*0.33\nAnswer: 374.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17455603 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1496*-713.\nAnswer: 1066648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14462 - -22993. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**7\/42 + 21*l**6\/5 - 61*l**5\/5 - 42*l**4 + 496*l**3\/3 + 6*l - 220. Determine z, given that j(z) = 0.\nAnswer: -2, 0, 2, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5401, 21501, 48329, 85885?\n\"Answer: 5364*d**2 + 8*d + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/9 - (-7)\/9. Suppose 9*p - g = 8. Solve 0 = 5*h - 14 - p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/1113154 and 89\/30314?\nAnswer: 733568486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 9:19 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**8\/28 - o**7\/70 + 7*o**6\/10 - 17*o**5\/20 - 3*o**4\/4 + o**2 - 61. Solve c(s) = 0 for s.\nAnswer: -3, -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cktckkkt. What is prob of picking 2 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/8*7\/(-35)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86\/93 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -r - 20, -r + 2*z - 5 = -10. Is 29 a factor of -3 + (144 - (r - -14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 385*v - 1875. Let r be t(5). Solve -r*i + 99 = -251 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 3*l + 1. Suppose 5*f + 21 = -6*y + 7*y, -82 = -5*y + 2*f. What is the remainder when c(4) is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x - 30. Suppose 0 = -12*k + 13*k - 23. Is f(k) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -182*45\/(-4725)*30\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -11. Sort w, -2, 0, -14 in decreasing order.\nAnswer: 0, w, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 26\/5 of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 4:51 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*sqrt(99))\/((sqrt(81) - (sqrt(81) - (sqrt(81) - -1*sqrt(81)) - sqrt(81))) + sqrt(81)) + 1.\nAnswer: 1 + sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(170)*-4 + (1*(sqrt(170)*4 - sqrt(170)) - sqrt(170)))\/(sqrt(10) + -2*sqrt(810) + (-2*sqrt(90))\/sqrt(9) + sqrt(10)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1481 and -24\/1481.\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9, 4, 67, 1, -35 in decreasing order.\nAnswer: 67, 4, 1, -5, -9, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 6*b + 5. Let r be 2*21\/(-14) + 6 + -1. Suppose 6*z - r + 14 = 0. Let h be k(z). Are -2 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -391b4b (base 13) to base 16\nAnswer: -14fb47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*(3 + sqrt(468)))**2 + (-1 + 2*sqrt(468) + sqrt(468))*1 + 2)*-2.\nAnswer: 2556*sqrt(13) + 34342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2884*a**3 + 2885*a**3 - 58*a**2 - 5773*a**3 + 182*a**2 to i*a**2 + o*a**3 + k + x*a and give i.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4279*m**2 - 84471*m wrt m?\nAnswer: 8558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*m - 101 + 25. Find the third derivative of -30*l**2 - 63*l**4 - 55*l**m + 88*l**2 + 116*l**4 + 4*l**3 wrt l.\nAnswer: -48*l + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1107 and 4?\nAnswer: 4428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 14440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 62*j**3 + j**2 - 222*j + 222. Calculate l(1).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 199.16*-0.61\nAnswer: -121.4876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2. Let u(h) be the second derivative of h**3 + 43*h**2\/2 + 32*h + 4. Calculate g(u(w)).\nAnswer: 36*w**2 + 516*w + 1849","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6462083.76348038 and -0.5.\nAnswer: 6462083.26348038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from cknbfnn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**3*f - 3*b**3 - 7*b**2*f - 104*b**2*n + b*f*n + 8*b*f + 2*b - 240 wrt b?\nAnswer: 12*b*f - 18*b - 14*f - 208*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-322)\/3 + 2\/(-3). Calculate the common denominator of (6 - (-168)\/(-20))\/(x\/40) and -28\/19.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4873184, 9746421, 14619658, 19492895?\nAnswer: 24366132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -365.4 - -361.4. Which is the third smallest value? (a) -4\/61 (b) -4\/9 (c) 4\/9 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 497, 2912, 6975, 12686, 20045?\n\"Answer: 824*n**2 - 57*n - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than 5462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -1908*k**2 + 4*k - 95. Let m(j) = 7*j**2. Give b(m(o)).\nAnswer: -93492*o**4 + 28*o**2 - 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-1))\/30*(-294)\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 16. Suppose -q - 30 = -r*q. Let l be -8 + q + (-7)\/(-4). What is the second biggest value in l, -4\/3, -2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1111535694*p - 1111535694*p - p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -92*f - 16 - 4 + 93*f + (28*f - 5*f - f)*(0 + 1 - 2).\nAnswer: -21*f - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/45 - (291\/27)\/((-2)\/6)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(91) - (sqrt(91) - (sqrt(91)*1*-1 - sqrt(91)))))\/(sqrt(28)*-4*-3).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 201 times -0.02\nAnswer: -4.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 12360.\nAnswer: 12360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3564 and 3821094.\nAnswer: 84064068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6020923529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*c - 4*c - 3*c**3)*(2 - 3 + 4) + (c**3 + c**3 - 6*c**3)*(-16 + 68 + 141))*(7 - 8 + 7) to g*c + y + s*c**3 + h*c**2 and give s.\nAnswer: -4686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 7398.844 to the nearest 10.\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o**5*o)\/o))\/(o**(-3\/5)*o))\/((o\/(o**(1\/4)\/o)*o*o)\/o)**(-3\/38))\/(o**(1\/4)*o**(-2\/7))**(1\/7) assuming o is positive.\nAnswer: o**(-155581\/37240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 11134*v - 67219. Give r(6).\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5516*j - 1949*j - 1315*j - 124*j - 1779*j to the form y*j + f and give y.\nAnswer: -10683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -3*q + 24, 2*q - 4*q + 2*t = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 + -17. Let w be 6\/27 - a\/(-9). Let x = 1 - 1. Solve w*t = -x*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -65, -69, -71, -71, -69, -65?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 0.2, 0.04 in descending order.\nAnswer: 0.2, 0.04, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 2)*(-470*z - 202*z + 73*z)*(-1 - 2 - 1) to the form p + o*z and give o.\nAnswer: -2396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**2 + 806*r - 4793. Calculate k(6).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 4. Let v be z(7). What is the highest common divisor of 121 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1834 - 1825 = -3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3.73, 1\/5, -0.4 in decreasing order.\nAnswer: 3, 1\/5, -0.4, -3.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**4\/66 + 13*z**3\/33 + 14*z**2\/11 - 13*z + 2. Factor x(j).\nAnswer: -2*(j - 14)*(j + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12508 and 19080.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*k - 37*k + 126*k)*(-2*k**2 - 3*k**2 + 3*k**2).\nAnswer: -128*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.546637 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(272) + 1)**2 + sqrt(272))*-6*4 + (1*(0 + sqrt(272)) - (sqrt(272) + 0 + sqrt(272))*4)**2.\nAnswer: -288*sqrt(17) + 6778","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 - 60. Suppose 4*l = 3*p + 10, 7 + w = 5*p + 3*l. Suppose -5*b = 2*k - 267, -2*k - p*k - b = -489. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 2. Let a(o) = -6*o**2 + 11. Let r(k) = -4*a(k) + 22*n(k). Let h(t) = 3*t**2 - 7*t. Give r(h(b)).\nAnswer: 18*b**4 - 84*b**3 + 98*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**(3\/4))\/(j*j**(-22)*j))\/(j**(-16)*j*j**(-17)*j))**(-30) assuming j is positive.\nAnswer: j**(-3225\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -18*f**2 - 672*f - 33. Let m(z) = z**2 + 42*z + 2. Let r(l) = 33*m(l) + 2*t(l). Find v such that r(v) = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 7*u. Let m = -13 - -16. Suppose m*y = 3*w + 24, 5*y - 11 + 1 = -5*w. What is the tens digit of p(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -12*m - 8*m. Let y = -1.92 + 98.92. Is m less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 18*l + 5*l.\nAnswer: 23*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 + 8*v**2 - 25*v - 43. Let q(f) = 5*f**3 + 22*f**2 - 74*f - 128. Let p(t) = -11*h(t) + 4*q(t). Differentiate p(u) with respect to u.\nAnswer: -6*u**2 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.8 + 0.2. Let y = -1 + v. Let g be 0 + (-2)\/(8\/6). Which is the smallest value? (a) 0 (b) y (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 18 = -3*l. Suppose 21 = 5*w - 2*p, p - l = -3*w - 0*p. Solve -w*i - 2 = v + 8, -2*i - 16 = -4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3429 divided by 3?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2664 + -2660. Solve 0 = 33*y + h*y - 37 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vdvdvddvdddvddvv.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a = 19*a + 9*a. Suppose a = z - 4*l - 20691, -2*z + 0*l + l + 41347 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22347 is divided by 10949?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 13422563.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 4*n**4 - 1828*n**3 + 159048*n**2 + 325440*n = 0.\nAnswer: -2, 0, 120, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6*w = -228. Let p = -9 + 9. Suppose p = 3*x - 6*x + 60. What is the remainder when w is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65733456 and 2181420.\nAnswer: 986001840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*k = 4*k - 256, -4*h + 268 = -k. Let b = 164 - 97. Is b less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m + 9. Let u be w(-3). Suppose 4*q + 326 = 3*r - u, 464 = 4*r - 4*q. Is r a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4085536 divided by 364\nAnswer: -11224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 b when two letters picked without replacement from {g: 1, b: 1, t: 2, k: 1, l: 10, p: 3}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**7\/315 + 7*f**6\/180 + 23*f**5\/30 + 113*f**4\/36 + 52*f**3\/9 + 4*f**2 + 50*f + 7. Let p(z) = 0. What is z?\nAnswer: -4, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, q: 1, l: 2, w: 1}. What is prob of sequence lwpl?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/3896 and -77\/260.\nAnswer: 253240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k - 5*k + 11 + 58 = 0. Solve 0 = 2*z + 2, -10*q - k*z = -6*q - 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158046279 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-12)\/40*-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 603560*i - 38607360.\nAnswer: -5*(i - 120648)*(i - 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z + 6*z + 6*z**2 - 6*z to the form v*z**2 + o*z + g and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -115901, -231533, -347155, -462767, -578369, -693961?\n\"Answer: 5*s**2 - 115647*s - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1651\/27760?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + -2 + -5 + 1 + -5)**2 + 2.\nAnswer: -242*sqrt(5) + 728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 3)*(-14)\/(-2). Let y = i + 10. Suppose y = x - 5. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17187353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 3. Let t(i) = -2*i**4 + 13*i**2 - 7*i. Let w(r) = -r**4 + 6*r**2 - 3*r. Let c(f) = s*t(f) - 7*w(f). What is the third derivative of c(h) wrt h?\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*y + 5347, -1033 = -2*y - 5*b + 1112. Suppose 0 = 5*u + 2*c - 2699, u - 4*c = -u + y. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 37*l - 32. List the prime factors of u(6).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + (8\/44 - (-251)\/11). Suppose 5796 = -7*r + k*r. What are the prime factors of r?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*sqrt(17) + -1))**2.\nAnswer: -32*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*j + 14*j - 134 - 13 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 17, i: 1}. Give prob of sequence yii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-20))\/((-4)\/(-5)). Which is the nearest to -1? (a) -4\/3 (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*a + 121 = 19, -2*a = 5*t - 255. Calculate the remainder when 144 is divided by t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002607 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-10)*1*(2625\/(-42))\/(-25)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/51275995 and 19\/170?\nAnswer: 102551990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 7*q**2 - 7*q - 3. Let f be c(3). Suppose -2*d + f = 26. Let o(t) be the first derivative of t**3\/3 + 7*t**2\/2 - 6*t - 1. Determine o(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5295*z + 1840*z + 1693*z + 4156*z.\nAnswer: 12984*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128\/5 > 225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1449 and 9591?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2. Let o(q) = 16*q + 365. What is o(v(h))?\nAnswer: 16*h**2 + 365","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3599 = 5*g + 2*y, 5*g + 2790 + 824 = 3*y. Let j = g - -1003. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/34 and 3\/34142.\nAnswer: 580414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1856773 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: Solve -9*g + 109*g - 1996 = 604 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 11:02 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i**2 - 48*i - 44. Suppose 96 + 44 = 5*j. Calculate the remainder when j is divided by s(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*sqrt(7) + sqrt(28)*-1)**2 + 5*(sqrt(112) - (sqrt(112) - (0 + sqrt(112)))**2) + 0 + -1.\nAnswer: 24 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-100)\/625)\/(7\/35))\/(46\/(-5))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 - -67588111.\nAnswer: 67588054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15600? (a) -2\/5 (b) 8 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83940723, 167881444, 251822165, 335762886, 419703607?\nAnswer: 503644328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 5*b**2 + 53. Let y(x) = -3*x**2. Give j(y(q)).\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -148 at most -145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10 - -2) + 6\/((-8)\/(-4)). What is the highest common factor of k and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 749991?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 11*n**2 - 12*n - 7. Let i = -6429 + 6438. What is v(i)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5181222083.99999969 - 5181222124. Let s = q - -40. What is s rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*o - 1 = 5*o, -5*u + 45 = -2*o. Let z = 177 + -173. What is the least common multiple of 791\/49 - z\/28 and u?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101760873 to the power of 1\/2, to the nearest integer?\nAnswer: 10088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 + 24 - -34) + -8?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 10:29 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2\/3 - 23*g\/3 + 8 = 0. Calculate g.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**5 - 32*b**4 - 30*b**3 = 0.\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(7) - sqrt(84)\/(sqrt(12)*2))**2 + -2*(sqrt(1008) + 1).\nAnswer: -24*sqrt(7) + 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -12*f**2 - 18*f + 79. Let x(m) = -5*m**2 - 7*m + 40. Let o(d) = -15*x(d) + 6*y(d). What is t in o(t) = 0?\nAnswer: -6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 38410 and -398279.\nAnswer: -359869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 5*t + 8. Let g be c(-4). Suppose 0 = -x - 3*x - g. Let d = -73 - -513\/7. Is d >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(99)*-1)**2 - sqrt(99)) + 4 + 2*sqrt(99) - (5*(sqrt(132) + sqrt(132)*-2 - sqrt(132)))\/(sqrt(24)\/sqrt(2)*-1 - sqrt(12)).\nAnswer: -2*sqrt(11) + 3568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 344413 - 204111?\nAnswer: 140302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*g + 8. Let y be (-9 + 12)\/(1\/(-9)). Let o = -25 - y. What is the third biggest value in o, g, -2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifteen quarters of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-7))\/(-1 - (-20)\/28). Are j and -23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*y = 95. Suppose 52 = 15*l - y*l. What is the units digit of 18*l\/52*(0 + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000029917 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**7\/2520 - g**4\/12 - g**3\/2 + 66*g**2. Let r(i) be the second derivative of c(i). Let q(o) = -40*o + 2. Determine r(q(s)).\nAnswer: -1600*s**2 + 160*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 75, 0.1, 0.4, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27792846 divided by -1544047?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3280 and 615?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**5\/60 + o**4\/8 + 5*o**3\/6 + 22*o**2. What is t(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2300 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 2*v**2 + 2*v + 2. Let k be w(-3). Let q = k + -13. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsjdm. Give prob of sequence smj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*q + 304 + 272 - 131 = 0. Let r = 1 + 2. What is the biggest value in r, 1, -0.1, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 a when four letters picked without replacement from aapppppppppppaappap?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrr when three letters picked without replacement from {w: 2, l: 2, x: 1, r: 2, y: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2444965880.1 - 2444965663.10000074. Let f = -217 + j. What is f rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1246 in 1\/2, -1, 6, 2\/95?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6046 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36\/95 + -2\/95. Let z = 1410 - 1408. Which is the nearest to -2? (a) z (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 250\/30*(-66)\/(-605)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19640 + -12023. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1386)\/(-66)*(-4)\/6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 671792.\nAnswer: 2, 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 428142 and 12192?\nAnswer: 869984544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1892679 to the power of 1\/2, to the nearest integer?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5200 is divided by 307.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 847652829 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12185 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455234 a multiple of 1297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, 9, 20, 47, 96, 173, 284, 435?\n\"Answer: j**3 - j**2 - 3*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 k when four letters picked without replacement from sksbmbbsksssmbbbbkm.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in 756, -0.008, -3, 0.5?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.143 + 0.332. Let y = a + -0.18897628. What is y rounded to 6 dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1523 + (99\/55)\/(3\/(-10)). Suppose -761 = -17*c + n. What are the prime factors of c?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k + 3. Let a(g) = -8*g - 1. Let p(b) = 9*b. Let x(q) = 4*a(q) + 3*p(q). Let r be 2 + -1 + -1 + 30. Let w = 24 - r. Give w*n(y) - 5*x(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8748 is divided by 2709.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**4 + 2*x**3 - 2*x - 1 = 0 for x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -305062 (base 7) to base 4\nAnswer: -30233110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 70991702 divided by 3?\nAnswer: 70991702\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/310 and -101\/1736?\nAnswer: 8680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*((q**(-1)\/q)\/q)\/q*q*q))\/((q*q**5)\/q*q)*q**(-1\/4)*q**(-2) assuming q is positive.\nAnswer: q**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8*w - 5. Let q = 7 + -3. Suppose 0 = -4*t + 36 - q. What is the remainder when j(t) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t - 6. Let n(c) = 4*c - 8. Let v(u) = 4*a(u) - 3*n(u). Let f(q) = 6*q**2. Determine v(f(l)).\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8247\/20 - 1539\/4. Suppose -22 = -2*l + 34. Let i = p - l. What is the third biggest value in -5, -0.1, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/(-14))\/((-2)\/8). Suppose 0 = -d - 5*f + f + 6, r*d + 2*f + 6 = 0. Let c be 9\/6 - 3\/d. Solve c*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2\/3 (b) 19 (c) 0.06 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28845 and 5?\nAnswer: -144225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**2 - 44 + 71 + 11*u + 19*u = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*j**2 - 6*j**2 + 42 - 17*j**2 wrt j?\nAnswer: -40*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**5\/3 + 2*l**4 + 16*l**3\/3 + 2*l**2\/3 - 5*l - 8\/3 = 0 for l.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + -0.55. Let j(k) = 3*k + 6. Let b be j(-6). Let u be (-10)\/b - 6\/12. Which is smaller: u or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9*j**2 + 6*j - 13*j + 7*j. Let i(t) = 2*t**2. Determine a(i(o)).\nAnswer: 36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*p - 305*p - 50 = -5*x, -2*x = -5*p + 43 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.781138245 rounded to three dps?\nAnswer: -2.781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 5:50 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 2539 and -6\/29 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 u, and 1 e when four letters picked without replacement from uuyuyeeeuueeeuu?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -17364*8\/(-36) - (-1)\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 7223936*m - 187825040.\nAnswer: 4*(m - 1806010)*(m + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 + 104*f**3 + 1 + 1 - 342*f**3 as r*f**3 + t*f**2 + n + w*f and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47837*y - 48062*y = 2475 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2. Let q(k) = 6700*k**2. What is c(q(o))?\nAnswer: -44890000*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-6 + -4)) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -475*g**4\/4 + 980*g**3\/3 - 535*g**2\/2 + 30*g + 4276. Find w such that u(w) = 0.\nAnswer: 6\/95, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -16*h - 28. Let k be l(-10). Let n = k + -89. Calculate the remainder when n is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 bigger than 8705\/72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3914 - 2263. List the prime factors of k.\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23664 (base 9) in base 11?\nAnswer: -10a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-124)\/(-6) + 1\/3. Let j = 8 - 9. Let i = j + f. 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: Let t be 5 - (0 - 1)*-1. Let j(a) = a**3 + 6*a**2 - a. Let r be j(-6). What is the lowest common multiple of 12 and 16\/r*21\/t?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*l + 114 = 13*l. Solve 0 = l*s - 6 + 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 - 23 = 4*o + 4*x, -2*x = 4. Calculate the remainder when o is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 73\/5 of a micrometer?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 272957324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -23*f + 2977. Let v(i) = 23*i**2. Determine r(v(x)).\nAnswer: -529*x**2 + 2977","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2 - 1 + 13*k in the form s + z*k and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 35.2233 seconds?\nAnswer: 0.00978425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -118483533*d + 226498008 with respect to d.\nAnswer: -118483533","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -792.8*2\nAnswer: -1585.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65806036?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1380\/414*(-1)\/5*9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123 and 1707.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-26 - (20 + -35)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*h - 72*h + 286*h - 135*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from yysss.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*f - 0*f + 3*d, 2*f + 23 = -5*d. Let p(k) = 3*k**2 - 5. Let o(w) = -2*w**2 + 4. Calculate f*p(i) - 5*o(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -12, 52*s - 55*s + 0*k - 30 = -5*k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1595462 or -1595464?\nAnswer: -1595462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.04 + 65.96. Let s = 1.045 - -66.255. Let y = s - z. What is the second smallest value in 0.12, 0.2, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4402087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -143.6, -0.2, -2, 1, 1\/7 in descending order.\nAnswer: 1, 1\/7, -0.2, -2, -30, -143.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from qhkpzzhhkhk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 88, 101, 100, 85?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**4 + 3360*o**3 + 3375*o**2 - 6730*o = 0.\nAnswer: -2, 0, 1, 673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2746.1 rounded to the nearest ten?\nAnswer: -2750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 10*c - 10. Suppose 13 = -3*g + 46. Let o be t(g). Suppose 5*b = 4*u - 27, -4*u + b = 6*b + 3. Sort o, u, -4.\nAnswer: -4, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 4. Suppose g + 2*i + 5 = -6, -4*i - 7 = -a*g. Sort g, -4, -2 in increasing order.\nAnswer: -4, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvwvwvvvvwkkvkvkkk. What is prob of sequence wwwv?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 150, 237, 358, 513?\nAnswer: 702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**6\/15 - 292*k**5\/5 + 42923*k**4\/3 - 56648*k**3 + 84681*k**2 - 4553*k. Factor t(x).\nAnswer: 2*(x - 291)**2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2. Suppose -2*m = n - 10, 2*n + x*m - 5*m = -16. Solve -7*u = -3*u + 4*t + 8, n*t + 4 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 3:29 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 654245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 3*u + 1685, 2*u = 7*u - 25. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2 + 2241*n + 94770. Calculate u(-45).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*-1*(-3)\/18. Let k = -0.0986 + -0.0014. Which is the closest to 2\/9? (a) x (b) 0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12 - 0) + -1 - 2. Suppose 4*m - 2 = 10. What is the greatest common factor of i and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 682\/3? (a) -0.4 (b) 0.5 (c) -3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/2728 and -13\/9511792.\nAnswer: 104629712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-29))\/(v*v*v**(-29)) assuming v is positive.\nAnswer: 1\/v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, l: 17}. What is prob of picking 2 l and 1 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -31, -66, -103, -142?\n\"Answer: -p**2 - 32*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -355.87341 to one dp.\nAnswer: -355.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-144)*-162 - -10. Put v, -1\/5, -28, 1\/3 in decreasing order.\nAnswer: 1\/3, v, -1\/5, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3, -32, -91, -174, -281, -412?\n\"Answer: -12*p**2 + p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 93.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 5*v**2 - 2*v - 5. What is h(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45739 + 45739 + 24*y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 313.\nAnswer: -62.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*y - 147 = 1114 + 311 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 8*o - 32 = -92 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 217 + -41?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 10) in base 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s - 26040 = 155485. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/1191 - 29384\/3573. Find the common denominator of 41\/6 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 5, -41, 0.1, -22.\nAnswer: -41, -22, -1\/3, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(4*sqrt(48)\/sqrt(6))*-4)**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 354 and 354.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 129698.23 - 130590. Round l to the nearest ten.\nAnswer: -890","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + 54051?\nAnswer: 54042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-60)*6*(-25)\/(-45).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23833*f**2 - 60*f + 18*f + 23*f - 6662*f**2 + 19*f)*(-2*f - 3 + 3).\nAnswer: 60990*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t - 303 = 393 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13751732 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: Which is greater: 10465 or 554656\/53?\nAnswer: 554656\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22971, 69608, 116245, 162882, 209519, 256156?\nAnswer: 302793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93912683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3 - (-4 - -3)) + 1. Suppose -b*z + 1276 = -z - 3*o, -2*o = -10. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**2 + 1965778674*l - 322023816262766523 = 0. What is l?\nAnswer: 327629779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 3*f + 50 = 0, 385*h - 4*f - 26 + 56 = 388*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -3)\/((-4)\/(-24)). Let c be 50\/18 - (-4)\/m. Let y = c - -7. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1726)\/((-9)\/45*5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 + 1512\/(-120) - 45668\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 274, 296, 318?\n\"Answer: 22*s + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15.962817 - 38.9628196. Let i = -23 - a. What is i rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 9*t + 9. Give j(-5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 164*q - 407. Calculate the remainder when 142 is divided by y(3).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1976\/28 - (-9)\/21. Suppose -3*t + y = 8. What are the prime factors of (0 - -1)*(t - (5 + -6))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 t when two letters picked without replacement from {t: 4, q: 6, d: 1}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3 - -3) + (-48 - -58 - 21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7994.554 - -2.35\nAnswer: 7996.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-293)\/(-4) + (-28)\/112 - -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/(-66))\/(128\/4224)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*x + x = 68, -4*h - 136 = x. List the prime factors of h\/(-6)*(1 - -2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**2*r - 1876*l**2 - 3*l*r - 3*l + 14281*r - 5 wrt l.\nAnswer: 2*l*r - 3752*l - 3*r - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 3*b**2 + 3*b - 7. Let u be c(3). Suppose -u*s + s + 6 = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 4*r**2 + 4*r - 5. Let b be s(-5). Suppose -3*v - i - 3 = b, -3*i - 5 = 5*v + 4. List the prime factors of (-2 - -1)*(v - 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 239478 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 2)*(-4 - 2*v + 4) - v + 6*v - v)*(-16 + 28 - 17)*(3*v + v - 3*v).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -634 + 634 + x. Let a(v) = v. Calculate a(c(r)).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*(-3*(3 + (-2*sqrt(117))**2) + -3 + -3)*-6.\nAnswer: -51083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*s - 107 = 64, -4*w + 209 = -s. Let g = w - 51. Suppose g*r - r = 5*i + 171, 3*r - 5*i = 553. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4331, 4403, 4619, 5057, 5795, 6911, 8483, 10589?\nAnswer: 13307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1281709622?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6117 * -191\nAnswer: 1168347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3430660 rounded to the nearest ten thousand?\nAnswer: -3430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.22 - 0.32. Let s = y + -0.90285. What is s rounded to 4 decimal places?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 12 = -u, -11*u + 10*u + 16 = -4*j. Suppose -183 = u*h - 615. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven halves of a centimeter?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*2\/80)\/((-46)\/(-184))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73.817 + -0.183. Let h = 69 + i. Which is the closest to 2? (a) h (b) 3 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 14 + (-53 - -39) + (-5 - -5 - -14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*q = 109261 - 1229213, 0 = -5*n + 5*q + 1119950. Suppose s - x - 26753 = 29250, -3*x = 4*s - n. What is s rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133060 divided by 861\nAnswer: -133060\/861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-16))**(-43)*(z**4*z)**(2\/107))**19 assuming z is positive.\nAnswer: z**(1398894\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = -2*i. Is 44 a factor of 2 + i - 572\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 1:44 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2099*y**3 - 5061*y**2 - 54. Let w(j) = 4200*j**3 + 10123*j**2 + 117. Let n(x) = 13*h(x) + 6*w(x). Find the third derivative of n(z) wrt z.\nAnswer: -12522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10070577.5 rounded to the nearest 10000?\nAnswer: 10070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 121?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004287 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - 3.1?\nAnswer: -17.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78896?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 82 + 4 = 0. What is the remainder when u is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 5 (c) -19\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1269, -1308, -1385, -1506, -1677, -1904, -2193, -2550?\n\"Answer: -k**3 - 13*k**2 + 7*k - 1262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-237)\/(-790)*(-2)\/3). Solve -a*q - 19 = f, 4*q - 3*f + 4 = -15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 429?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 + 12*q - 2. Let s(b) = 16*b**2 + 60*b - 9. Let f(z) = 2*s(z) - 11*w(z). Let g be 2\/(-2*(-1)\/(-11)). Is f(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -361, -59, -8 in increasing order.\nAnswer: -361, -59, -8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v - v + v - 2*v. Let m(n) = -6*n + 10*n - 3*n. Calculate m(u(l)).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1417 by 5.\nAnswer: 1417\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 595 and 2125.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -12. Let q = 14 + n. Suppose -3*y - q*o + 4 = -2*o, -3*y = o - 5. Solve 0*r = -r - 3*d + y, 4*r - 2*d + 20 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12493.4478 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5067*z**2 + z**5 - 140*z**3 + 2*z + 354 - 422 - 5067*z**2 - 680 wrt z.\nAnswer: 20*z**3 - 840*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12020 + 320000?\nAnswer: 332020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13592434?\nAnswer: 2, 1013, 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11255033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1725, -1742, -1773, -1824, -1901?\n\"Answer: -n**3 - n**2 - 7*n - 1716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 3*s + 371 + 194, 4*a - 452 = -5*s. List the prime factors of a.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**5\/4 - 2*y**2 + 12*y. Let m(r) = -14*r**3 - 11. What is -3*m(k) + 8*v(k)?\nAnswer: 2*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 389 - 6*y - 168 + 576 + y + 37 in the form i + w*y and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 15 + 7*a - 15. Let s(v) = 18*v - 7*v**2 - 18*v + 0*v. Determine g(s(r)).\nAnswer: -49*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/180 and -143\/300?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*x**2 + 8519956 - 8519956.\nAnswer: 94*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*v - 104, v - 56 = 5*a - 30. Solve -26*b + 10 = -v*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, l: 4, f: 5}. What is prob of sequence ll?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 528\/540 - 12\/10. Let g be -1*3\/(1*6). Which is the nearest to g? (a) -0.2 (b) m (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*s + 2*z - 0*z, 2*s + 1 = 3*z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from qqpqqqqqqqqqpqqp.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47719.\nAnswer: 7, 17, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/24 and 145\/2705172.\nAnswer: 5410344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/3*((-18)\/16)\/((-932)\/(-1864)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4711? (a) -2 (b) -1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lluddlwuwwudwud. Give prob of picking 3 u.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 1)*(-6*m + 5*m + 4*m)*(14*m**2 + 0*m**3 + 2*m**3 + 14*m**2) + 2*m**4 - 3*m**4 + 2*m**4.\nAnswer: 31*m**4 + 420*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 714430*b - 7143800.\nAnswer: -5*(b - 142876)*(b - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2402694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4423 or -4418?\nAnswer: -4423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 179829 and 954?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*u - 6*u**3 + 17*u**3 - 2*u**3 - 31*u**2 + 33*u**2 in the form b*u + s + i*u**3 + p*u**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*w + 33 = 2*w, -5*y + w = -60. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7008, 3280, -448, -4176?\nAnswer: -7904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0160992 to five decimal places.\nAnswer: -0.0161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 45840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 254245 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**5\/10 + t**4\/12 - t**3\/6 + 9*t**2 - 41*t. Let o be j(0). Suppose u + 2*u - 9 = 0. Solve o = 3*i + u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 3)*12\/63. Let h be (1*-16)\/4 - (0 + -6). Which is the second biggest value? (a) h (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-6.6661\nAnswer: -2.66644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 3*p - 15, -2*a = 4*p - a - 19 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l - 2*x = 134, -2*l - 4*x + 116 = 0. Suppose -290 = -2*m - l. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.07 (b) -4 (c) 2 (d) -2.47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -31248, -30695, -30144, -29595, -29048, -28503, -27960?\n\"Answer: -h**2 + 556*h - 31803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 126130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + -1 + 2 + (sqrt(500) - (0 + sqrt(500) + sqrt(500))*6) + sqrt(500) + (sqrt(500) + -3*(sqrt(500) + 1) + sqrt(500) - sqrt(500)) + -5)*2)**2.\nAnswer: 6160*sqrt(5) + 242196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -13*y + 3. Let n(x) = 4*x - 4. Let h(q) = 16*q - 17. Let g(w) = -3*h(w) + 13*n(w). What is -8*g(s) - 3*r(s)?\nAnswer: 7*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 214977527?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -1.8. Let q = -721 - -718.03. Let b = -0.03 + q. What is the closest to m in b, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.016 + -40515.\nAnswer: -40514.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from {b: 8, k: 4, f: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -2*u**3 + 1481. Let r(i) = -i**2 - i + 1. Let h(n) = 16*n**2 - 10*n + 10. Let j(b) = 3*h(b) - 30*r(b). Determine j(v(k)).\nAnswer: 2808*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14325250382 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 7, c: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j - 21. Suppose 0 = 25*o - 12*o + 26*o + 4*o. Calculate u(o).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484 = 2*t + 2*t. Let q = 174 - t. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 3 = -3*k, -4*o + 5*o - 3*k + 3 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -800*h**3 + 3*h**2 + 796*h**3 - 3*h**2.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/9*(-24)\/(-64)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 m when four letters picked without replacement from jmjjmmgjjjmjxjhjjgj.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/7))**27 assuming j is positive.\nAnswer: j**(108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 88190496 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 12 = 3*f, 2*f - 3*c + 0 = 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 1:46 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*((sqrt(85)\/sqrt(5))**2 + -2)*-3*-4 + -4.\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*(sqrt(176) - (sqrt(176) + 2)) + 1)*-4 + -3)*-2)**2 + 1.\nAnswer: 12101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*(sqrt(200) - 1*sqrt(200)*4 - (-1 + sqrt(200) + 4))**2 + 3.\nAnswer: -19251 - 1440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(-4692 + 4719 + 3*g**2 - g**2) - g**2 - g + g.\nAnswer: 3*g**2 + 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 + 5 = -5*s, -4*s - 2 = 2*n. Let w(a) = -27*a**3 - 5*a**2 - 4*a - 1. List the prime factors of w(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 25, -1\/3, 2\/71 in decreasing order.\nAnswer: 25, 2\/71, -1\/3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26.0089 - -26. Round v to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7095 greater than 7107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58057232*j**2 - 210446*j + 177 wrt j?\nAnswer: 116114464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1118, 1999, 2880, 3761, 4642?\n\"Answer: 881*f + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-36)\/(-30))\/(4\/20). Let c(m) = -6*m - h + 6 + 4 + m**2 + 3. Let q be c(5). What is the biggest value in 2\/3, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3040 and 439850?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 74608.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 584*m + 42715. Determine j(-73).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.43 + 14.5. Let f = 1279058 + -1279058.930053. Let u = f - m. Round u to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005807848507 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -271.1481?\nAnswer: -1355.7405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - 11b5?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -2. Suppose 0 = 2*y - 27*y - 1325. Does 45 divide t + -3 - (-6 + y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, v: 2, b: 5, w: 4, x: 5}. What is prob of sequence yyb?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16*237\/6 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - b**2 + 99. Let h be n(0). Suppose -x - 5 = 0, -y - h = -2*x - 16. Let l = 467\/5 + y. Which is smaller: -11 or l?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 76965.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -98, -1.081, -2\/9?\nAnswer: -1.081","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3c54 (base 13) to base 4\nAnswer: -2013300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*c - 3522*c = -195000 for c.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 277.723 rounded to 0 dps?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -957.\nAnswer: -5\/957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, q: 3}. What is prob of picking 2 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-20))\/(-5 - (-1668)\/330)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29061.954ms in hours?\nAnswer: 0.008072765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/16 and -91\/128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24a6599 - -13?\nAnswer: 24a6601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 3, -1463, 16 in descending order.\nAnswer: 16, 3, -8, -1463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35002\/9 or 3889?\nAnswer: 3889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -86247*0.1288\nAnswer: -11108.6136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -117, -1 in descending order.\nAnswer: 5, 4, -1, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 323111363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 84 divided by -12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -30*i**4 - 5*i**3 + 5*i**2 + 5. Let u(g) = 31*g**4 + 6*g**3 - 6*g**2 - g - 6. Let n(s) = -5*u(s) - 6*v(s). Find the second derivative of n(a) wrt a.\nAnswer: 300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 24. Let k be (-3)\/(-6)*2 + y. Suppose 4*q - 2*q + 12 = 2*n, -4*n = k*q - 24. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-15))\/(-2) + (-14)\/5. Let u be ((-1)\/(-3))\/(8\/(-120)). Let f = d - u. Solve 2*i - 2 = -4*r, -3*r + 2 + 2 = f*i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -45*z**3 - 4*z**2 - 5*z - 3. Let p(v) = -2*v. Calculate 3*p(a) - u(a).\nAnswer: 45*a**3 + 4*a**2 - a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 215.0266 - 0.0266. Let i = h + -201. Which is the biggest value? (a) 0 (b) 0.1 (c) -3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88 - ((7 - (-2 + 4)) + (-9 - (-17 + 1)))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25918.027 - -25856. Let h = -0.027 - s. Let m = h - 68.2. Round m to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -276681065981 - -199.\nAnswer: -276681065782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3527733 divided by 1749?\nAnswer: -2017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -5381434\/9?\nAnswer: -5381434\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 129600893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 1.01, -0.15, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x + 1. Let m be n(-4). Solve 0 = -m*j + 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 - -1. Let f = 0.3 + r. Suppose 5 = -3*w - x, -2*w - 2*x + 4*x = 14. Which is the closest to f? (a) w (b) 0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141218177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h + 15 + 57 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 128746 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5 - 2*k**4 - 7*k**3 + 20*k**2 - 12*k.\nAnswer: k*(k - 2)**2*(k - 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4*((-2)\/(-1) + 0). Let y(t) = -2*t + 1. Let h be y(-2). Suppose -z - 5*s = -6*z, -3*s - h = -4*z. Sort n, -1, z in ascending order.\nAnswer: -1, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**2 + 157*b**3 + 18*b + 4 - 158*b**3 + b**2 - 31 + 8*b**2. Suppose 3*m + 8 - 53 = 0. Let g be u(m). Solve -4*l - 10 - 2 = 0, -i + g = -5*l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, i: 4, r: 1, a: 4, j: 1, v: 1}. Give prob of sequence jbaa.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/6 - (-12)\/2. Suppose -4*m - q = -2*m, 3*j + 3*m = 63. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (5 - (4 - (-1 + -2)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1741218979 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/7 (b) -6\/97 (c) 4 (d) 1\/4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - (35 + -40) - (-13 - -2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 20. What is the remainder when 43 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/(6\/12). Suppose -j = 3*r - l, 4*j - 5*r + 15 = -15. Let u(b) = -b**3 - b**2 + 5*b + 8. List the prime factors of u(j).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, l: 1, k: 2, o: 4, n: 2, f: 8}. Give prob of sequence onn.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 3534 - 1666 = 0. What is a rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from nnnpepp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 134140?\nAnswer: 134132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00049122 rounded to five decimal places?\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1125 by 45.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-13\/4)\/(v**(10\/3)\/v*v)*(v*(v*v*v\/v**(-8)*v)\/v)\/(v**2*v) assuming v is positive.\nAnswer: v**(29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 1027*q - 1026*q + 9, -2*q = -4*w - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**3 + 605*l**2 + 12*l**4 + 11*l**4 - 603*l**2 - 25*l**4 - 248*l to u*l**2 + p*l**3 + b + k*l + v*l**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 1:07 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 10:07 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-6))\/(((-153)\/(-81))\/17). Let s(b) = 9*b**3 + 6*b**2 - 8*b - 9. Let g(n) = -17*n**3 - 11*n**2 + 15*n + 17. Give x*g(l) - 11*s(l).\nAnswer: 3*l**3 - 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -137*s**5 + 43 + 311*s**5 - s - 23 wrt s?\nAnswer: 3480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/167 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43586 is divided by 43547?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -1 - -1)\/16. What is the closest to v in 1\/12, -5, -1?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d + 0*d - 2*d)*(-3 + 6 - 4) + 301 + 307 + 2238*d - 608 + 404*d in the form b*d + n and give b.\nAnswer: 2641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (2 - 13 - -6)) + -37?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4689b4c + -1?\nAnswer: 4689b4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 10. Let o = f + -10.5. Sort o, 0, 4 in ascending order.\nAnswer: 0, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-28))**(3\/8) assuming v is positive.\nAnswer: v**(-81\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/8)\/((-61)\/(-6588)*-60*(-6)\/4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (132 - (-1 - -3)) + 0. Let r be (-18)\/(-5) - 18\/30. Suppose -2*m = r*m - z. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76954881.\nAnswer: 3, 359, 71453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*f**2 + 5*f**2 - 37*f**2 - 36*f**2 in the form w + p*f + j*f**2 and give j.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2571766, -2571769, -2571774, -2571781?\n\"Answer: -k**2 - 2571765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*a = -94*a - 96*a - 3080 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (125*z**2 + z**4 + 3*z**4 + 0*z**4 - 5*z**4)*(45*z + 2*z + 57*z).\nAnswer: -104*z**5 + 13000*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -9 + 2 - (-83 + 83) - 7?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a week in hours?\nAnswer: 2268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 893775908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -24\/7 (b) -8751 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*c + 45. Let j be ((-22)\/5)\/(-1) + c\/(-35). Suppose 4*n = 4*w - 136, 3*n = -j*w + 3*w + 54. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5 = 3. What is the greatest common divisor of p and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 5:25 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 224829 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3515 and 3330.\nAnswer: 63270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 12210451004?\nAnswer: 12210451005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(-1\/9)*(z*z**(-3\/4))\/z**(-9) assuming z is positive.\nAnswer: z**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283*r = 2*h + 281*r - 10, 3*r + 25 = 5*h. Solve -3 = -l + v, -h*l - 22 + 25 = -3*v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86753 is divided by 274?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -155?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 2\/25*o**5 - 1\/10*o**2 - 2\/15*o**3 - 2 + 0*o + 0*o**4 + 1\/30*o**6. Factor b(g).\nAnswer: g*(g - 1)*(g + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -4*u + 15, -6 = 4*h + 3*u - 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 + 1.28. Let t = -0.7 + c. Let m = 0.02 + t. Is -4 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1029, -1037, -1029, -999, -941, -849?\n\"Answer: v**3 + 2*v**2 - 21*v - 1011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*o = 20*o + 136*o - 7383 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 2*h + 7780, 5*w + 106*h - 19474 = 103*h. What is the remainder when w is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 239*p + 25050. Let v be r(0). What is v rounded to the nearest 1000?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and -5.2.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, j: 10}. What is prob of picking 2 j and 2 z?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmv when three letters picked without replacement from mmnvnvnvnvvn.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((((sqrt(294)*2 - sqrt(294))\/sqrt(6))\/(sqrt(63)*2))**2 + sqrt(112)*2 + -5 + 2).\nAnswer: -505\/36 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3288 - 0.3668. Which is the fourth smallest value? (a) 32 (b) g (c) -5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1346.3 - 1346. Which is the biggest value? (a) 0.2 (b) -7 (c) -4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 + 54.05. Let p = -55 + y. Which is the closest to p? (a) -3 (b) 3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23940 and 152?\nAnswer: 47880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*l + 96 = 41 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 32 = 4*h, 86*h - 6*j + j = -0*j - 852 + 58 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 509*p**2 + 2516*p + 2006. Determine y(504).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -260 + 293. What is the remainder when 80 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -98826151 and 10907?\nAnswer: 98837058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -1 + 1\/3*d**3 + 0*d + 0*d**2. Let b(k) = -2*k + 2. Let z(y) = -8*y + 9. Let c(u) = -9*b(u) + 2*z(u). Calculate c(f(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 13*l - 14. Suppose 0*g = g - 6. Let j be m(g). Let p = j + -22. Calculate the lowest common multiple of 22 and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**7\/210 - 2*m**6\/25 + 153*m**5\/100 - 7*m**4\/3 + 1563*m - 2. Find r, given that l(r) = 0.\nAnswer: -20, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1270386?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 45 = -46 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 3:23 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**5\/20 - 160*b**2. Let v(s) = 10*s**2 - 3. Let n(d) = -d**2 + 1. Let p(h) = 3*n(h) + v(h). Calculate r(p(x)).\nAnswer: -147*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*h - 120 - 135, 0 = -b - h + 84. What is the remainder when b is divided by 10\/6*(-4080)\/(-400)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -11*r + 32. Let l(d) = 4*d - 11. Determine -17*l(o) - 6*p(o).\nAnswer: -2*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 132, 187.7, -0.5 in decreasing order.\nAnswer: 187.7, 132, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2914673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 167840 rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -155*w - 158*w + 0 - 10 + 2*w**2 + 314*w. Let s be c(8). What is the greatest common factor of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133 and 1470191709.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 + z**3 + 3*z**3)*(-43 + 43 + 16*z**2) + 4*z**3 - 4*z**3 - 2*z**5 - 3*z**5 + 5*z**5 - 4*z**5.\nAnswer: 60*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**4\/3 - 11*p**3\/3 - 56*p**2\/3 - 20*p = 0.\nAnswer: -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a millennium in centuries?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - l = -4*l - 9, -g = 3*l + 9. Suppose g = 2*k + 2*k - 72. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 8*g - 17. Calculate z(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21983500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**4\/6 + 2*v. Let g(k) = -k. Let a(u) = -2*u**2 + 12*u. Let i(s) = -a(s) - 12*g(s). What is i(c(l))?\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 3) to base 13.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -64570*h - 1033120. Calculate s(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 v, 1 l, and 1 n when four letters picked without replacement from {e: 3, i: 4, n: 1, z: 1, v: 1, l: 5}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.20484 - -108466?\nAnswer: 108461.79516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3779807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 10 (c) -0.5 (d) -5\/4 (e) 7 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - l = -z + 413, 4*z = -4*l + 808. Let w = z - -131. Suppose -w = -3*o - 5*d, 0 = 5*o + 2*d - 0*d - 579. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*r**2 - 14*r + 9*r - 54*r**2.\nAnswer: -6*r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273806552055*o**4 + 184097556395*o**3 + 1042865475*o**2 + 1976625*o + 1250 = 0. Calculate o.\nAnswer: -2\/3, -5\/2633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56264 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 32 - 30)*(-6*c + c - 1 + 3*c).\nAnswer: 38*c + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (90*q**3 - 38 + 38)*(1 + q + 2*q**2 + q + 0*q**2).\nAnswer: 180*q**5 + 180*q**4 + 90*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -54\/2329?\nAnswer: -54\/2329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2040 = -2*b + 4*b, 4*t = -2*b - 2076. Round b to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119110 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4190041162 to the power of 1\/2, to the nearest integer?\nAnswer: 64731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h*h\/h**(-2\/3)*h)*h)**(-5))**(1\/22))**(-27))**(12\/7) assuming h is positive.\nAnswer: h**(-1350\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 = 720*q + 6357 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19505076 and 372.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 8. Is (x - -4)\/((-2)\/157) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.96 - -263594\nAnswer: 263593.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 5*x**2 - 147970*x - 295960 = 0.\nAnswer: -2, 29596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 11)*(2*x + x + 2*x + 0 + 0 + x + 2*x + 0*x + 0*x + (-3 + 2 + 2)*(-2*x + 4*x + 0*x)) to the form a + h*x and give h.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*m - 447 = 0, 97*x - 94*x - 447 = 2*m. What is the remainder when 2381 is divided by x?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-15)*-3*-70*(-184)\/(-262752)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/60)\/(2\/10). Suppose -13 = -4*s - q. Suppose 0 = -s*i - 0*x + 3*x + 3, 5*i + 3*x + 19 = 0. What is the closest to -1 in i, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-90)\/(-200)*(-28)\/6?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/425 and -32\/85.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 310 and 470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403072 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 t = 11 + -6. Suppose 4*z = -4*b - 4, 7 = z - 2*z + t*b. Is z greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 13*h**2 + 40*h + h**3 - 4 - 31*h - 2*h**2. Let q be j(-10). Suppose -4*c = -6*c - q, -n - 5*c = -18. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 0 + g**2 - 1\/12*g**4 + 15*g + 1\/3*g**3. What is d(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.24, 6, -6, 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 11*c**2 + 38*c + 60. Let i be y(14). Solve 13 = i*m + 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 17*z**2 - 2 - z**2 + 4*z**2 - z**2 - 4*z**2 + 2*z**2 + z**2 + (-3*z + z + 0*z)*(6*z - 2*z - 3*z) + 0*z**2 - 2*z**2 + 0*z**2 - 2 + 2*z**2 + 2.\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.2 (b) 2\/7 (c) -28 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n + 221 = 349 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 644, 645, 646, 647, 648?\nAnswer: 649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1180*m + 14 = 2*o - 1176*m, -4*o - 5*m = -19 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1074*i = -3874 + 2565 - 4061 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*n + 16 = 0, -4*p - 676*n = -674*n + 40. Sort p, -1, -21, -5 in descending order.\nAnswer: -1, -5, p, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 102*z**2 + 16 - 13.\nAnswer: 102*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhe when three letters picked without replacement from ehcxxrehw?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 829010 = 5*g - 139923, -2*g + 2*q = 275630. Let b be 275456\/3 + 1\/3. Let v = g + b. Round v to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**5 + 12*r**4 - 18*r**3 - 96*r**2 - 105*r - 36 = 0.\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*l = -398*l + 8165 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 9 = -45. Let j = 13 - m. Solve -j = -q - 0*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1182139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/5 + 28850*t**3 + 2600791424*t**2\/5 - 7803672576*t\/5.\nAnswer: 2*t*(t - 3)*(t + 36064)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 9 - 2)*(-3*a + 0*a + a + (4 - 1 - 5)*(0 + 0 + 2*a) + a - 3*a + a) to the form h + u*a and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2528*r**2 + 9894 wrt r.\nAnswer: -5056*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6120)\/5440)\/((-5)\/(-40)*-1) - 130\/22.\nAnswer: 34\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004569 rounded to four dps?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -1639*w**3 + 2*w**2 - 751*w + 6. Let s(q) = -3277*q**3 + 5*q**2 - 1501*q + 15. Let a(j) = 5*r(j) - 2*s(j). Find the second derivative of a(v) wrt v.\nAnswer: -9846*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6884\/12047)\/(1\/(-28))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20945 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -4\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 2*z - 6570008, 0 = -l - 0*l + 2*z - 2189992. Round l to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 34 + 9\/4*k + 1\/4*k**4 - 137\/4*k**2 - 9\/4*k**3 = 0.\nAnswer: -8, -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 4*k**2 + k. Let d(v) = 3*v**2 + 39*v + 117. Let u be d(-5). Determine s(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*p - 4*o = -296*p + 145*p - 20, -5 = -4*p - o for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102 + 16*b + 102 to o + z*b and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80401304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 802\/27 + -15025\/594. Calculate the common denominator of d and 2\/(-10) - (-161)\/80.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 145 and 253199.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (-4 - -9) - -1. Solve 2*y = w + f, 5*y - 2*w + 5*w - 2 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10278 by 276.\nAnswer: -1713\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*t = -295156, -3*j - 4*t = -241636 + 20263. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1130 and 791.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -169 - -112.1. Let r = -53 - u. What is r rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 times -2\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6007 - 17800\/3. Let k = -73 + m. Let n = -0.3 + 0.1. What is the second smallest value in n, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2, -102, -302, -602?\n\"Answer: -50*a**2 + 50*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -477, -899, -1321, -1743, -2165, -2587?\nAnswer: -3009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2870695 is divided by 1669?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 10. Let h be g(8). Solve h*x + x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 10*j - 40. What is the greatest common divisor of j and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(-22*v**2 - 498*v**2 + 23*v**2).\nAnswer: -994*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 + -42. Suppose -l - 3 = 0, 0 = -c*a - 4*l - 0*l + 312. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 9:42 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -459 divided by 16.\nAnswer: -459\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36011\/6 + 5983. Find the common denominator of 63\/10 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 74 = 1071. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**2 + 1. Let b be u(3). Let p = -18 + b. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4*s + 71 = 0, 0 = -1686*g + 1683*g + 2*s + 23 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1398, 12121, 41428, 98613, 192970, 333793?\nAnswer: 530376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 5. Let h(c) = -6*c - 285. Let z(n) = -n - 38. Let p(f) = 2*h(f) - 15*z(f). Calculate i(p(y)).\nAnswer: 3*y - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 711 a factor of 36163046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1948 + -1654. What is the remainder when o is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -10)\/((-7)\/(-3))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-2)*((5 - 2) + -1). Suppose 9 = -3*q, 4*q + 12 = -5*z + t*z. Solve z = m - 2*m - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6530 divided by -2\nAnswer: 3265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -548*w*x**3 - 5*w*x**2 - w*x + 31*w + 7*x**3 + 7304272*x wrt w?\nAnswer: -548*x**3 - 5*x**2 - x + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1130131 + 2?\nAnswer: 1130133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - f**2 - f. Let w be v(2). Suppose 2*d - 226 = -w*m, 2*m + 2*m = d - 103. Suppose 239 - 46 = 5*p - 3*o, 3*p - 3*o = d. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 6*c**2 - 5*c + 24. Suppose w = -0*w - 4, 0 = 5*m + 4*w + 51. Let r(d) = 7*d**2 + d. What is the lowest common multiple of x(m) and r(1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r**2 + 15028*r - 11280 = 0 for r.\nAnswer: -940, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 29*y - 32*y = 12, 2*y + 4 = 2*l. Suppose -l*g - 16334 = -107888. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010 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: Rearrange -26*l**3 - 14 + 617*l**4 + 2*l + 5 - 616*l**4 to k*l**3 + t*l**4 + v*l + r*l**2 + d and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(12)\/sqrt(4)) + -4.\nAnswer: -4 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 6:18 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -443 = -16*s + 581. Calculate the highest common divisor of 536 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*m - 10, 0*y - 4*y = m - 9. Let x be (-1)\/(((-10)\/(-2))\/(-15)). What is the greatest common factor of y and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 5*j + 4. Let r be c(-2). Suppose 3*g = -k + 397, 0 = g - 0*g + r*k - 129. Suppose g - 34 = 3*v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -4\/9 (c) -255\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 10 = 10. Let z = 1 - 1.5. Let i = 0 + -0.3. What is the third smallest value in i, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 91337485?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**3\/3 + 5*o**2 + 2*o - 3. Let d be r(10). Suppose 1 = -d*l + 9. Solve 2*c = s - 1, 0*c + l*s + 8 = 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*r + 10080 = -13879, r = -q + 23967. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/20)\/(841674\/(-74320))?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 111 + -110 - (-5 - -131 - 9)\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5568 and 408.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 41 = -2*u, -3*m - 2*u - 2*u + 9 = 0. Suppose -2*g - 4*h = -m*h - 13, h - 3 = 0. Let j = g + 10. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -4. Suppose -3*n - 4 = -n. What is the nearest to -1\/2 in l, -4, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-8) + 3\/12. Let p be (21\/(-6))\/7*0\/9. Let u = -1063\/7 + 152. Which is the nearest to p? (a) 3\/2 (b) u (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/24*24*170\/20?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nineteen quarters of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/55)\/p**(-8\/15))**(-47))**(-44) assuming p is positive.\nAnswer: p**(15416\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -440 + 442. Suppose 4 = 2*g - 2*u, 3 - d = -u. Is g less than -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17267.\nAnswer: 31, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5023675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271*o + 268*o - 12 = 0. Which is the closest to -1\/2? (a) o (b) 5 (c) -0.04 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) - 690\/(-35). Let z(t) = -t + 5. Let h be z(-3). Calculate the greatest common divisor of h and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*y - 4*w, 4*y + w - 4 = -w. Solve y*z - z = b + 3, 5*z + 20 = -3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**2 + 3*l - 42. Let j(o) = 3*o**2 - 2*o + 43. Determine 3*j(f) + 2*w(f).\nAnswer: f**2 + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 - 33. Calculate the lowest common multiple of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + r = -125, -5*b = -r + 241 - 30. Let g be (93\/(-9))\/(2\/(-18)). Let s = g + b. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -82, -3, -5, -8 in decreasing order.\nAnswer: -3, -5, -8, -34, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -11*b + 16*b. Suppose 8*s - b = 4*s. Let t be (-187999)\/(-4) + s\/20. What is t rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 4*h + 0*h)*(25 + 35 - 13).\nAnswer: 141*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 4*z - 3*z + (z + 2*z - z)*(1 - 1 - 1) + 4 - 4 - 2*z - 3*z + 5*z - 3*z + z - z + 2*z)*(3*z + 4*z - 3*z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 523*y + 177*y - 13538 - 4662 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/7, -2\/5, -329.2, -0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 37\/4 - 9. What is the third biggest value in j, 9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3613 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2303*g**2*u + 478*g*u wrt g.\nAnswer: 4606*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 8:18 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*b - 431*b + 21 = -z, -3*z - 11*b + 9*b = -0 + 39 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1517.\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*r - 8 = 0. Let z = 46 + -43. Suppose -z*g = 2*w + 4 - r, -5*w + 18 = -4*g. Put -1\/3, w, 1\/2 in increasing order.\nAnswer: -1\/3, 1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2600*f**2. Let h(l) = -l. Give h(y(z)).\nAnswer: 2600*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -259604.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from piiiiiiiiippippi. Give prob of sequence ipp.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**3\/4 - 13231*q**2\/2 + 45013695*q - 16403981346 = 0.\nAnswer: 386, 13038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/16 in 2, 46449, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -173*y + 24. Let g be d(12). What is the units digit of ((-2)\/2)\/(19\/g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -3*a + 43, 5*a + 5*b - 53 = -8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 1260752?\nAnswer: 8825264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21345 + -14573. What is the units digit of r\/28 + ((-22)\/(-7) - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 93*k**2 + 19 - 4 - 9*k - 92*k**2. Let w be o(10). Calculate the greatest common divisor of 150 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**5\/2 + 105215*t**4\/2 + 554927715*t**3\/2 + 14911377025*t**2\/2 + 12970182020*t - 20703387000 = 0. What is t?\nAnswer: -10508, -25, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2484*0.1152.\nAnswer: -286.1568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6) - (-6 - (-542)\/90)\/((-244)\/(-68808))?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2. Let x(g) = 6*g**3 + 3*g**2 + 2*g. Determine 2*i(r) + x(r).\nAnswer: 6*r**3 + r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2097947820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 2*n + 24. Suppose -n = 2*z - 4*z. Suppose -z*b = -25 - 41. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -13 - (3 + 0 - (7 - -9))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1.6, -3\/79, -0.3?\nAnswer: -3\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-208 + 191)*(10\/2 + (-5 - (-1 - -5))).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.04 (b) -0.1 (c) -2\/5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 3) + (0 + 3 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 500 divide 3484500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 5:36 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-4*(1 + sqrt(192))*6 + (4*sqrt(216))\/(sqrt(200) - 3*sqrt(200)) + -3)**2.\nAnswer: 86580*sqrt(3) + 25127613\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 11, 13, 15, 17, 19?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, -179651, -4 in increasing order.\nAnswer: -179651, -4, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 278*m - 1. Let c be d(-1). Let a = -900 + 366. Let q = c - a. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 213*c - 173*c + 116*c + 261*c to p*c + x and give p.\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 16, 0 = v + 2*s - s. Suppose -2*d + v*d = 0. Solve 3*i + 5*q - 20 = d, 0*i = -5*i - 2*q + 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence didi when four letters picked without replacement from ddddididid?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**3\/9 - 26*s**2\/9 + 28*s\/9 = 0.\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68079 by -3.\nAnswer: 22693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2064 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18816229 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 7) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.7964 and 181246?\nAnswer: 181245.2036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - v - 5 + 6, -v = 4*q - 1. Solve 3*a = -q*a + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -333 + 485. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000065838459 to 7 decimal places.\nAnswer: 0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -262*r + 87*r + 22*r**4 + 92*r - 3*r**2 + 2*r**3 + 88*r - 21*r**4 - 5 in the form i*r + t*r**3 + j*r**4 + l*r**2 + m and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/20 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7918798801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (42 - 25) + 9*-1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26 and -455.\nAnswer: -11830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 29516.4435 to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -13352000 rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 2:35 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10917 + 10914. What is the nearest to 20\/7 in -0.05, -5, 2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 h when three letters picked without replacement from {h: 3, t: 7}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 73 + 22654?\nAnswer: 22727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*l + 35*l - 39*l = 28*l + 2945 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1883 * 1055.\nAnswer: -1986565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, r: 1, e: 4}. What is prob of picking 1 r and 1 j?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/3)\/((748\/(-528))\/((-442)\/26)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - 18. What is the common denominator of ((-2)\/10)\/((-4)\/(-190)) and (-8 - -10)\/(18\/n)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 + 124 - 124 + (0*x**4 + 0*x**4 + 7*x**4)*(15*x + 0 + 2 - 13*x) - x**5 - 2*x**5 + 5*x**5.\nAnswer: 15*x**5 + 14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -9. Let j = -7.5 - k. Let r = 0.4 - j. Does -6 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 19 = -4*m, 175*n = -4*m + 194*n - 173. Let q be 5*((-8)\/(-5) + -2). Put 3, m, 1, q in increasing order.\nAnswer: m, q, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22694*f**2 - 9486 with respect to f.\nAnswer: -45388*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0065541 rounded to 5 dps?\nAnswer: 0.00655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/2))**(2\/29)*(u**1\/u)**(3\/16) assuming u is positive.\nAnswer: u**(3\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -730*h + 4 + 0 - 2.\nAnswer: -730*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**5\/5 - s**4\/3 - s**3\/3 - 3*s**2\/2 + 6*s. Let x(g) = 17*g**3 - 17*g**2 - 9*g - 13. Calculate 2*x(j) - 9*z(j).\nAnswer: -2*j**3 + 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*j + 10. Let z(p) = 3*p**3 - p**2 - p + 1. Let g be z(j). Let n = 57 + g. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + 0*y**2 - 2*y**2)*(-2 - y**3 + 2) + 1782*y**5 - 279*y**5 + 272*y**5.\nAnswer: 1777*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 7*w + 6. Let j be 7*-1*-2*(-84)\/24. Let p = 2 + -2. Let s be (-3)\/7 + p - 266\/j. Calculate c(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -153, -2\/17 in descending order.\nAnswer: -2\/17, -5, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011633089 rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-1 + -1 - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-4 - -5)) + 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -22. Sort j, 1, 0.\nAnswer: j, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 8*g**2 + 2*g + 1. Let q be y(-1). Let a be (0 - 1)*q\/(-21). Let s(n) = 2*n + 14. Let t be s(-5). What is the nearest to a in 5, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142 (base 5) to base 12.\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44691, -89378, -134065?\nAnswer: -178752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-8)\/d*d))**(-1\/19) assuming d is positive.\nAnswer: d**(-8\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + g - 141. Let w be i(0). Let f = 8 - w. Suppose 0 = 3*x - 15, -2*r = 2*x + 9 - f. Calculate the remainder when r is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 9*k - 16*k + 8*k)*(-2 - 3 + 6)*(-53 + 29 + 21).\nAnswer: -3*k - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0046955 centuries to millennia.\nAnswer: 0.00046955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -120*s. Let x(n) = 11*n. Give -6*m(t) - 65*x(t).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/4868 and -77\/1199962?\nAnswer: 2399924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 127 + 127 = 0. Which is the second smallest value? (a) -0.4 (b) 0.2 (c) -26\/5 (d) u (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(4 - 80\/30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4452 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 705992 is divided by 714.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**2 + 2342955*w - 853498100 = 0.\nAnswer: -468955, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 10*p + 11. Let o be b(11). What are the prime factors of 3 + (o\/(-2))\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21.8 - 22. Let d be 9\/12*(3149\/2010 - (-2)\/(-4)). What is the closest to 2\/9 in 4, d, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79061446.\nAnswer: 2, 1123, 35201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2 = x + 22, d + 5*x = 30. Suppose a + 291 = d*m - 0*a, -5*m = a - 289. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000020250045 to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 9*l - 1 - 16*l + 3*l. Let q = -4 - -3. Let m be v(q). Which is smaller: m or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.2, -1, 2\/7, -1\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 829768.9 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 23*x**2 - 2*x - 2. Let i(k) = 70*k**2 - 6*k - 6. Determine -4*i(b) + 11*o(b).\nAnswer: -27*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -20551, -0.5, 2, -4, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4042312410 (base 5) to base 10\nAnswer: -8166605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -532 + 527. Let x = -36 - -36.9. Let l = -1.9 + x. Which is the nearest to -0.1? (a) l (b) i (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-5) + (-161)\/(-35). Let c be (-1 - -5)*3\/z. Calculate the greatest common factor of 18 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**2 + 15*n - 26 = 0.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2. Let t(c) = 21*c - 226. Let x(y) = 47*y - 451. Let g(i) = 7*t(i) - 3*x(i). Calculate o(g(r)).\nAnswer: -36*r**2 + 2748*r - 52441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4252 by -4.\nAnswer: -1063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 1:06 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxbbhb. What is prob of sequence xxx?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4, -31, -76, -139, -220, -319, -436?\n\"Answer: -9*t**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) -4 (c) -3 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by -1657358.\nAnswer: 53\/1657358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111434 (base 5) in base 8?\nAnswer: 240307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -723 not equal to 310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + (-18)\/(-32))*6\/(-9). Let z = 5 - 4.5. Let l = z - 0.5. Sort t, -2, l in descending order.\nAnswer: l, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/17 (b) 0 (c) -2650 (d) -1\/4 (e) 2 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a hour?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-3) - 14\/(-21). Let z(b) be the first derivative of -a + 7*b - 1\/2*b**2. What is z(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -38*n + 182. What is the remainder when 139 is divided by a(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7*j + 50*j - 43*j - j**2. Let k(s) = 5*s**2 + 7*s - 7. Let p(i) = 4*i**2 + 6*i - 6. Let v(o) = -6*k(o) + 7*p(o). Calculate v(f(r)).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 582\/21 - (-2)\/7. What is the highest common factor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*i + 9 = -3, 3*m = 2*i - 16. Let d = -230 - -230.1. What is the nearest to -1\/4 in 23, d, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141271 is divided by 90.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/g**(7\/5))**(-15) assuming g is positive.\nAnswer: g**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 127.1063cm?\nAnswer: 1.271063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12827 and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**2 - 20*z + 50. Let r(t) = -9*t**2 - 39*t + 97. Let g(o) = -7*h(o) + 3*r(o). Let i be g(-27). What is the greatest common factor of i and 637?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 0. Let h = 7 - o. Is 5 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3\/21 - 622*n**2\/21 + 5090*n\/21 - 638\/3 = 0. What is n?\nAnswer: -319, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from {f: 3, b: 3, t: 6, k: 2, w: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*j = 583, -j = -u + 3*j - 285. Let t = u - -304. Calculate the highest common divisor of t and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1171771.\nAnswer: 1171771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x + 11. Let j(w) = w - 6. Let v(a) = 6*g(a) + 11*j(a). Suppose 3*d = -t - 1, -2*t - 2*d + d = -3. Let l(h) = -2*h + 2*h + 2*h**t. Give l(v(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 9*b**2 - 12*b - 22. Let f be k(6). Calculate the greatest common divisor of f and 1316.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64b7 (base 16) to base 2.\nAnswer: -110010010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*d**4 - 19*d**4 + 30*d**4 - 4*d**4 - d**4 + 0*d**4 + (3*d**3 + 0*d**3 - d**3)*(0 - 2*d + 0).\nAnswer: -7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, r: 4, l: 1}. Give prob of sequence rl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -6. Determine l so that -l**4 - 3*l + 3*l + 4*l**4 + t*l**3 = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6048 + -2957. Let o = a - 2026. List the prime factors of o.\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -3\/29 (c) -4 (d) -5 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 62?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -85, -84, -83, -82?\n\"Answer: w - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -f - 2*f. Let v(o) = -o**2 + 2*o - 2. Let p be v(f). Does 3 divide ((-44)\/55)\/(p\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*w + 5*u = 1974, -2*w + 2*u - 5*u = 70 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/7 - 1620\/(-126). What is the greatest common factor of 299 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -12. What are the prime factors of (-7566)\/(-104) - -1*2\/i?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24775 or 24797?\nAnswer: 24797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 14 = 4*c + 2*p, -3*c = p - 21. Solve -3*d + 2 = t, -d = 2*d - 4*t - c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4 - 2, -4*z - 5*m + 10 = 0. Suppose z = -l - 8*l - 477. Which is bigger: -52 or l?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 1\/4, 5, -1\/6, -0.3 in decreasing order.\nAnswer: 5, 1\/4, -1\/7, -1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -230 (b) 0.3 (c) 5 (d) 2081\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 1 - 1 - 13*t. Let p(i) = i + 4116 - 4116. Give j(p(b)).\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2454 - -7364\/3. Which is the third smallest value? (a) -7 (b) 16 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 196 - 198. What is the lowest common multiple of 11 and (2 + -13)\/(-3 + (b - -4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -4.9\nAnswer: 0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 1:44 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 18 = -5*d. Let y = -0.2 - -1.2. Let u = 1034\/7 + -148. Which is the closest to y? (a) -0.5 (b) u (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-2) - 4) + 1292905. Let x = 7692904 - s. What is x rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 + -0.54. Let p = -0.24 - s. Which is the second biggest value? (a) -1 (b) 6 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6070 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015675284953 rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 13*a + 11. Let t be p(-12). Let s = 28 - t. Suppose 0 = s*d + 22 - 377. Does 19 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(((-132)\/(-14))\/(2352\/20580))\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 165 - 51 = 0. Let a be 12\/g - (-4)\/9. Suppose 0 - 2\/3*t + a*t**2 = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 27. Suppose u + 5 = 0, 0 = -0*b + 4*b + 2*u + i. Solve -3*y + 5 = b*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n**2 - 6*n + 6. Let a(u) = u**2 + 1. Suppose 4*r - 5*r + 1 = 0. Let g(l) = r*j(l) - 5*a(l). Suppose 3*k - 7*k + 16 = 0. What is g(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 - n**2 - 6*n + 1. Let m(h) = 1041*h**3 - 8*h**2 - 24*h + 4. Calculate 4*d(x) - m(x).\nAnswer: -1049*x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Suppose -2*a + 2 = 2*l - q, -20 = -a + 5*l. Solve -3*j - 1 = 3*i + a, 0 = -4*j - 2*i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from uyucnacuhuya.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2128 rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 - -1*(-3 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4894234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -201, 13\/3 in descending order.\nAnswer: 13\/3, -45, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 31*y - 76*y + 26*y. Let w = -12 + 18. Solve 3*x + 15 = 4*g, g + 0 = y*x + w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*x - 34*x - 29*x to the form p*x + i and give p.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, 5, 0.12, 28 in descending order.\nAnswer: 28, 5, 5\/4, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58622 - 1008832.\nAnswer: -950210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 53\/1 + (4 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-3\/8)*k)\/k**(-4)*k**(-5)\/k**(-3))**15 assuming k is positive.\nAnswer: k**(435\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 7*g**2 - 10*g - 6. Let p be o(-8). Let u = p + -14. Which is smaller: u or -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1656902 divided by 2\nAnswer: 828451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2648 and 16312.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 16*j - 17. Let y(f) = -f**3 + 7*f**2 - 2*f - 5. Let d be y(7). Let q be l(d). Calculate the greatest common divisor of 60 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4 - 4 - 24*b. Let w(h) = -5*h - 6. Let m be ((-8)\/6)\/(-7 + (-195)\/(-27)). Let u(j) = -j - 1. Let v(x) = m*u(x) + w(x). What is a(v(s))?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*x - 191 - 45 = -24 + 108 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 16. Let i(u) = u**3 - 6*u**2 + 7*u - 4. Let y be i(t). Let 16*j**2 + 2\/3 + 32\/3*j**3 + y*j = 0. What is j?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 7*l - 3. Let f be -7 + 7 + -8 + 2. Give c(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*m**2 + 4*m + 0*m**2 - 3 - 55*m**2 - 3*m**3.\nAnswer: -3*m**3 - 152*m**2 + 4*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -28371+-0.06\nAnswer: -28371.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -9*l + 7*l. Calculate the highest common factor of l and 696.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2847747875 to the nearest integer?\nAnswer: 1417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcmicejciccj. What is prob of sequence jte?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325\/50*2 + 3 + 10854 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001968 rounded to 4 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1916230009?\nAnswer: 19, 1291, 78121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 530*s + 2211*s + 0 to the form q + t*s and give t.\nAnswer: 1681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**2 + 3*g**2 - g**2 + 351 + 4*g**2 + 45.\nAnswer: g**2 + 396","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6 = -22. Suppose 5*f - 32 = 3*t, 3*f - 4*f + s = -3*t. Let v = 5368 - 5367. Which is the smallest value? (a) v (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7386079825?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1113377, -1113350, -1113323, -1113296, -1113269?\n\"Answer: 27*l - 1113404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5220018 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 11099955 = -5*p. Suppose 5*w = 5*g - p, w + 3*g + 0*g = -740009. Round w to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/3 + 12\/18. Let l be -1*(-3)\/(-5) + 1. Determine d so that -2\/5*d**5 - l*d**2 + 0*d - 6\/5*d**b - 6\/5*d**3 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*i - 35*i + 28 = 0. Which is the nearest to -0.1? (a) 2\/7 (b) i (c) 15\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 69*t**2 + 30*t - 11. Let m(w) = -65*w**2 - 30*w + 10. Give -12*m(b) - 11*u(b).\nAnswer: 21*b**2 + 30*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2629.\nAnswer: 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 10. Let z = -0.2 - 0.8. Let b = z + 1. Is g >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 1. Let h(f) = -5*f - 35. Let b be h(-7). Suppose b = 2*r - 0*r - 40. Let z(m) = -25*m + 20. Give r*j(l) - z(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 7:15 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2100*m - 3094*m**2 + 4652*m - 831*m wrt m.\nAnswer: -6188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k. Let f(j) = -j**2 + j + 1. Let w(l) = -l**2 - 3*l + 2. Let x be w(-6). Let v(q) = 16*q + 16. Let s(i) = x*f(i) + v(i). Determine s(z(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -21 - (-2 - -5) - -3. Let v = u - -16. Let i(r) = -r**3 - 6*r**2 - 7*r - 4. Calculate the smallest common multiple of i(v) and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-465)\/(-20) - (-1)\/(-1) and 46\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -207 - -297. What is the highest common divisor of u and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -6 - 47)*1. Let c = -35 - o. Suppose -c*x + 123 = -5*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/4900014 and -73\/674076.\nAnswer: 127400364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2014 - 12149\/6. Calculate the common denominator of b and 73\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1. Let m(k) = -k**2 + 3*k - 3. Let f be m(2). Let a(r) = -2*r + 2*r - r - 2. Let o = -65458 + 65452. What is f*a(y) + o*l(y)?\nAnswer: y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4931 (base 16) to base 12.\nAnswer: -aa15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/105 + (-148)\/60 + 3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 35 + 5 = 0. Let s(j) = -j**3 + 9*j**2 + 8*j + 14. Let v be s(o). What is the units digit of ((-3 - 1)*-1)\/(v\/(-51))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 475089599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u - 34*u = 226. Which is smaller: u or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*s = 8. Let n = 61 + -25. Let l be -1 + -1 - (-84)\/n. Which is the nearest to l? (a) 5 (b) 1\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-30) + 1\/3. Suppose 2*i - 2*d - 8 = 0, 0 = -0*i + i - 2*d - 7. Which is smaller: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6453, 6295, 6137, 5979, 5821, 5663?\nAnswer: 5505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4200\/(-2700) + 56\/36?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011101 - 11110011110110101?\nAnswer: -11110011101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2*-1)\/((-4)\/8). Let n be -1 - 0 - (5 + -15). Solve 0*x - a*t = -x - n, 3*t = 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + -0.4. Let t = 0 - d. Let l = 0.9 - t. Which is the second biggest value? (a) l (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 5*l = 0. Let x(h) be the third derivative of 0*h + 1\/84*h**4 - 2*h**2 + l*h**5 - 1\/420*h**6 + 0*h**3 + 0. What is q in x(q) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**2 + 1 - 1 + 6*c**2 + 120477455*c**3 - 120477456*c**3.\nAnswer: -c**3 + 13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6895 and 43340.\nAnswer: 303380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -1\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1503\/1980 + (-6)\/10 and -1\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 10 + -5 + (-1 - -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 58, 85, 112, 139, 166?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 163, 123, 87, 55, 27, 3?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -165?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4202 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 158172.5474901 and -1.\nAnswer: 158171.5474901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5 + 2*z - z + 1 + 20. Let u(h) = h**3 - 9*h**2 + 2*h - 7. Let w be u(9). Does 3 divide o(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(560)*-1)\/(sqrt(315)\/sqrt(5)).\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 933.09165219017?\nAnswer: -933.29165219017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 24912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -365642, -365646, -365650, -365654?\n\"Answer: -4*f - 365638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 + -90. Suppose y - n = o, -y = 2*y + o - 32. Let w(p) = y*p + 3*p + p**2 + 120 - 106. Determine w(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1489 + -1491. Let f be 24\/(-9) - (-1 + -1). What is the nearest to f in -2\/19, 1, q?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 5*x - 2. Let q be b(-6). Suppose 5*i = -4*j + 7 + 13, -5*j + 25 = -q*i. Is 5\/14 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 24*g**3 + g**2\/2 + 144*g - 123. What is the derivative of s(b) wrt b?\nAnswer: 144*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44089853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1.2. Let o = -68 + 67.8. Let f = o + d. Sort 2, -0.4, f.\nAnswer: -0.4, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1628 + 683.12913\nAnswer: 2311.12913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/6*(32\/(-120))\/(-2)*1.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1086601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23160 by 7720.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1318240 divided by -1120\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 65 + 4\/(-2). What is the greatest common factor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08574 * -0.05717.\nAnswer: 0.0049017558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**5 + 18268*x**4 - 2501252*x**3 + 86857908*x**2 - 166285152*x + 81910224 = 0. What is x?\nAnswer: -4701, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svszaaaass. Give prob of sequence saav.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 873*o**2. Let s(b) = 24*b. Calculate s(u(y)).\nAnswer: 20952*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3684734 centuries to months.\nAnswer: 442.16808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 7 + 1. Suppose -5*m = z - n*z - 112, 4*z + 32 = 2*m. Suppose 0 = -5*h + 2*h + m. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 1d?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9082, 9086, 9090, 9094?\n\"Answer: 4*k + 9078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/28 - 70\/(-490))\/((-4)\/(-12))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzz. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g - 1. Let i be p(-1). Suppose 5*t = -5*u + 10, 0 = -i*t - u + 10 - 3. Let k(a) = 88*a - 438. Let z be k(5). Sort z, t, -4, 1 in ascending order.\nAnswer: -4, 1, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -573*g**3 + 4*g**2 - 19*g - 5. Let r(u) = -2*u**3 + u + 1. Let t(p) = q(p) + 5*r(p). Find the third derivative of t(b) wrt b.\nAnswer: -3498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(9\/13)*l*l*l*l**(-26))**(13\/3) assuming l is positive.\nAnswer: l**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + p**2 - 1. Let c = 2 - -4. Let j(i) = -70*i**3 - 6*i**2 + 2*i + 7. Let r(s) = c*t(s) + j(s). What is the tens digit of r(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -190058742 by -16218.\nAnswer: 11719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 8*u**2 + 3*u + 6. Give p(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.3 - -15. Let z = -9\/1001 - -2083\/9009. Which is the third biggest value? (a) 2 (b) z (c) 26 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203565291 + -310710?\nAnswer: 203254581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 10:46 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.459 and 169?\nAnswer: 77.571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*s - 9, -3*s = 3*g + 39 - 18. Let o(y) = -23*y + 21. Let k(r) = -28*r + 25. Let v(p) = -5*k(p) + 6*o(p). What is v(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 4:09 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*y - 72*y - 612 = -98*y for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 0 (b) 659.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upupuupuupuupu. What is prob of picking 2 p?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125 by 5.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/6 - (-6)\/(-9). Let v(c) be the third derivative of 3*c**4\/2 + 31*c**2. What is the hundreds digit of v(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 211\/3 - 69. Let u = 12.912 - 0.112. Let d = 13 - u. Put b, d, -5 in descending order.\nAnswer: b, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -5) + -6 - (-4 - -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - 2*c**2 - 4*c**2)*((-4 - c + 4)*(-5*c + 3*c + 4*c) - 4*c - c**2 + 4*c).\nAnswer: 18*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6063125?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 78.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 36*k**2 + 105*k - 128. Determine a(33).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1\/12 (c) -4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -139.80483 and 4.\nAnswer: -559.21932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, t: 8}. What is prob of sequence tll?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 + 163*l**2 + 85*l + 51. Calculate t(82).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -10080349*o. Let g(b) = -5*b. What is t(g(m))?\nAnswer: 50401745*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 482006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2532.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -26*w + 115. Let p be r(5). Is (-5)\/(p\/2)*16230\/20 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 6*p - 7. Suppose 7*i = 3*i + 28. Let z be u(i). Suppose 2*g - 12 - 20 = z. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 3. Suppose h - 136 = -3*h. Let r = h + -22. Let m be f(r). Solve -c + 4 = m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*c**6 - 5*c**4 + 111*c**3 + 46*c**2 - 4*c + 3?\nAnswer: -480*c**3 - 120*c + 666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 + 6*q + 6. Let z be w(-2). Suppose -z*t + 3*y + 7 = 0, 5*t - y + 4 = 28. Solve t*n - 2*h + 33 = 0, n + 2*h + 1 = h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**2. Let z(a) = -115570*a. What is k(z(t))?\nAnswer: 66782124500*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 281 + -275. Let n(k) be the first derivative of -9\/2*k**2 + 0*k + 4\/3*k**q + 0*k**5 + 0*k**4 + 0*k**3 + 5. Find the second derivative of n(p) wrt p.\nAnswer: 160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**7\/63 - i**6\/5 + 16*i**5\/15 - 28*i**4\/9 + 16*i**3\/3 - 16*i**2\/3 - 234*i. Factor v(q).\nAnswer: 2*(q - 2)**4*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 809, 1626, 2445, 3266?\n\"Answer: w**2 + 814*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 281 and 277 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-8) - 34\/8. Let x(o) = -2 - 2*o - 5*o**2 - 9*o**3 + 1 + 6*o**3 + 2*o**3. Calculate x(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**4\/6 - 29*x**3\/6 + 34*x**2 + 3*x. Determine d(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4098, -8211, -12328, -16449?\n\"Answer: -2*t**2 - 4107*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + i = 3*w - 17, 2*i + 60 = 4*w. Let t(f) = f**2 - 4. What is the remainder when w is divided by t(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 - 67*f**3 - 5*f**3 - 84 + 7*f**3 + 148 + 53*f**3.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 1 - 4)*(-2200 + 2200 - 9*i)*(-2*i - 3*i + 8*i) in the form l*i**2 + o + n*i and give l.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - v - 26. Let i be u(6). Let f = 4 + 6. What is the greatest common factor of i and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + ((-21)\/((-6)\/2) - 152\/12). Let i(h) be the first derivative of -17 + o*h**3 + 2*h**2 - 8*h. Let i(q) = 0. Calculate q.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*h + 11*h, -2*y - 2*h + 194 = 0. Suppose -3*f = -3*d - 105, -3*f - 2*d - d = -93. Calculate the remainder when y is divided by f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 7*l - 177 = 3*y, 2*l - 3*y - 87 = 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**2 + 101*g - 589. Let r be q(11). Calculate the highest common divisor of r and 162.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j**2 + 7*j - 3. Let x = -12 + 19. Let a(u) = -2*u**2 + 2*u - 1. Let l(n) = x*a(n) - 2*z(n). What is the derivative of l(b) wrt b?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c**2 + 9*c**2 - 32*c**2 + 12*c**2 - 1254*c.\nAnswer: -c**2 - 1254*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-52)\/(-9) - (-4)\/18. Let a(p) = -p**3 + 12*p**2 - 9*p + 1. Is a(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/151, -24.578, 6\/23?\nAnswer: -24.578","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 2*x - 10 = 0, -33*x + 30*x + 13 = 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -44. Suppose -29 = -11*x - t. Solve x = -c - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 17 - 11 = 0. Solve -2\/5 - 4\/5*u - 2\/5*u**d = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -537\/11 + 49. Let p = 8 - 4. Which is the third biggest value? (a) 2 (b) f (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -b4b?\nAnswer: b4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.91 + 0.09. Let m = 47 + 5. Let t = m + -51. What is the biggest value in d, -5, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 1 - -33) + 7 + -10 + 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -14*d**2 + 8*d + 11. Let b(g) = -9*g**2 + 5*g + 7. Let j = -26 + 18. Let q(y) = j*b(y) + 5*h(y). What is the derivative of q(x) wrt x?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-7\/4)*d\/d**(-3\/7))\/(d**(5\/4)\/d*d\/(d*((d**2*d)\/d*d)\/d*d*d)) assuming d is positive.\nAnswer: d**(38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + c**2 - 16. Let g be l(0). Let i = 8 - g. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43 + 24 - -54) + 35 + -20.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21824306?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**39)\/n*(n*n**(2\/51))\/n*n**(-1\/67)*(n\/(n**23\/n))\/n assuming n is positive.\nAnswer: n**(58172\/3417)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4695323 is divided by 343?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/(-5) - ((-1008)\/(-120) + -8). What is the second biggest value in 14\/9, -2, -4\/7, t, 0?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2215?\nAnswer: 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-30) - (-6472)\/(-60). Let k be 6\/15 + v\/(-30). Suppose -4*g - k = -16. Solve -2*i - 5*z = -5 + 40, 4*i = g*z - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84860?\nAnswer: 2, 5, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40 + -3)\/((-1)\/(-12)). Let a = 543 + k. What is the remainder when 53 is divided by a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 4:40 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwkbdqq. What is prob of picking 2 b and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-9)*p)\/p**9 assuming p is positive.\nAnswer: p**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/2)\/(16280\/(-4072) - -4) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -22, -18, -12, -4, 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 12\/13 (c) -0.5 (d) 2\/36685\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*g**5 - 25 + 25 + 0*g**5 + 3*g**5 - 4*g**5 + (-g - 4*g + 3*g)*(-6*g**4 + 2*g**4 + 2*g**4) + 3*g**5 - g**5 - 4*g**5 - g + g + 2*g**5 + g**5 + 3 - 3.\nAnswer: -2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 335, 676, 1017, 1358, 1699, 2040?\nAnswer: 2381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244695?\nAnswer: 3, 5, 11, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*c*i + 170388*c + 6246*i wrt i.\nAnswer: -5*c + 6246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 656 - 4903*o - 1155 + 4906*o - 750 to j + b*o and give j.\nAnswer: -1249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 37442351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15914*g*s**3 + 2*g*s**2 - 20*g*s - 4*g + 2*s**3 - 3*s**2 + 51*s + 2 wrt s?\nAnswer: 95484*g*s + 4*g + 12*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28\/751567 or -1?\nAnswer: 28\/751567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91 + 211\/2. Let i(q) = q**3 - 2*q**2 - q - 7. Let t be i(3). Calculate the common denominator of h and (-274)\/48 - t\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 43*f + 54. Let t be s(11). Suppose -t*l - 18302 = -529*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/6 (b) -6426 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 1:39 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2643, 5803, 8965, 12129?\nAnswer: 15295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3958250 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 - 7*j - 12. Let z be w(-2). Is z less than -60\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/35)\/(14*3375\/567*(-6)\/14).\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 14155690 to the nearest 10000.\nAnswer: 14160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 14*n**3 - 2*n - 3. Let p(w) = 41*w**3 - 5*w - 8. Determine -8*j(q) + 3*p(q).\nAnswer: 11*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10081425 and 1106980?\nAnswer: 282279900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - 59. Suppose -4*f = 5*n + 447, 4*f + 63 = 2*n + 253. Is n at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/((-7)\/42)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -39, 1\/6, 5, 2\/3, 4.\nAnswer: -39, -2\/15, 1\/6, 2\/3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1040 and 130?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 21691\nAnswer: -28\/21691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(704))*5 + -5 + 1)*-6.\nAnswer: -240*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2518401*-3.\nAnswer: 7555203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**3 - 11*v**2 + 5*v + 2. Determine p(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -1)\/((-1)\/2). Suppose -166*g = -158*g - 32. Suppose g*t = -3*q + 63000, 0*t = z*q - 2*t - 42000. What is q rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -59*s + 3. Let u be p(6). Let z = 584 + u. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from {z: 1, v: 1, n: 2, w: 1, d: 1, r: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/21*(-12)\/(-8)*-1. Suppose w = 3*p + 2*p - 10, -w = 5*p - 20. Solve 7 = p*r + j, 0*r - j = -k*r + 13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a + 122 = -15*a. Is a > 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + u = 5*u - 14952, 3*l - 5*u = 14979. Let h be l\/(-90) + 8\/36. Let j = -55 - h. Is -1 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 + -120 + 114 + 0 + (7 - 4) + 9?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7183.2 - 7183. Put m, 0.4, 3, -0.4, 0.108 in increasing order.\nAnswer: -0.4, 0.108, m, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + t)*((1 - 2 - 2)*(3 - 3 - 4) - 10 + 26 + 86) as p*t + w and give p.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -8*v. Let g(k) = -13*k. Determine g(m(u)).\nAnswer: 104*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 15*w**2 - 73*w**2 + 190*w**2 - w.\nAnswer: 102*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 1.103, 2\/5, 2, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 317213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632 is divided by 178.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.619 rounded to one decimal place?\nAnswer: 41.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.256 - 1679.\nAnswer: -1678.744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 95, 3\/7, 5, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iniiiiniininniinrnn. Give prob of picking 1 r and 3 i.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (107 - 55) + -77 - 0.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 226, 341, 454, 559, 650, 721?\nAnswer: 766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 21322100032 (base 4) to base 8\nAnswer: 11722016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from ocwttotwwwwot?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l - 1. Let n(h) = 5*h + 1. Let u = 4 - 1. Suppose u*o - 4*o + 5 = 0. Suppose q + 2 + o = 0. Calculate q*x(i) - 6*n(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 greater than or equal to -121\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -5 (c) -5\/4 (d) -2297\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 86*s + 1273. Give t(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1382 - 1381.8907. Let m = -0.21 + 0.1. Let z = i + m. Round z to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**2\/7 - 193953*x\/7 + 27708 = 0?\nAnswer: -64652, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35738105.1563 + 0.025.\nAnswer: -35738105.1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -538 - 3.25774\nAnswer: -541.25774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4}. Give prob of sequence uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/4 of a week?\nAnswer: 42840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**3 + 4*i**2 + 2*i - 4. What is u(3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -19*r - 1. Let d(u) = -6*u. Let t(o) = 7*d(o) - 2*l(o). Calculate the remainder when t(-7) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 12:39 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -0.1, -455605, -4\/3?\nAnswer: -455605","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -176 - -204. Suppose -m*u = -38*u + 60. Solve -3*w = -w - u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.103418 to 2 decimal places.\nAnswer: -20.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -251*h**2*i**3 - 55365*h**2*i + 142*h*i**2 wrt i?\nAnswer: -1506*h**2*i + 284*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(5\/2)*a)*a)**48 assuming a is positive.\nAnswer: a**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + 67 + -29 + (-1 - -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30015)\/2755 + -3 + (-5 - -19)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01183751947 rounded to 6 decimal places?\nAnswer: 0.011838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-14.77.\nAnswer: 14.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2431123 + -260?\nAnswer: -2431413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*k - v - 58, 3*v - 63 = 5*k. Let w be ((-2)\/76)\/(3762\/(-47652)). What is the nearest to w in 5\/4, -0.3, k, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (11 + (4 - (1 - -14))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**6\/120 + 13*l**5\/60 - l**4\/12 - 11*l**3\/6 - 4*l**2. Is o(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19886 is divided by 59.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 448 - 206. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 1\/60*x**5 + 0 + 0*x**4 - 11*x**2 - 3\/2*x**3 + 0*x. What is the units digit of p(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*u = -244, -2*q = -3*q + 3*u + 68. Suppose -15654 = -62*j + q*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 + o**2 - o**2 + (2*o - 3*o + 0*o)*(-2*o + 2 - 2) - 4*o**2 + o**2 + 0*o**2 + 26.\nAnswer: -2*o**2 + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 2*a - 1. Calculate g(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 6:43 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 297 + -167. What is the remainder when w is divided by 55?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 37337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 22*z - 3. Let c be a(22). Sort -4, c, -94 in decreasing order.\nAnswer: c, -4, -94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 529785630?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 898, 1817, 2746, 3691, 4658, 5653?\nAnswer: 6682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 - 55 = -4*r + 8*s, -r = -7*s - 100 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -417, -943, -1833, -3093, -4729?\n\"Answer: -j**3 - 176*j**2 + 9*j - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 - -1.8. Let d = -0.8 - n. Which is the biggest value? (a) d (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -11, 1\/3, -3825182 in decreasing order.\nAnswer: 4\/5, 1\/3, -11, -3825182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19096 less than 57290\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204 and 876.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21532 - -21528. Let m(s) = -s**2 - 93*s - 356. Give m(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + ((2 - -4) + -10 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*u - 68, -2*u - 5*k = -0*u + 46. Let l = 6 - -11. What is the remainder when l is divided by (-2)\/(-2*(-2)\/u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76879\/15 + 5122. Find the common denominator of -40\/3 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + d**2 - 14. Let s be v(0). Let q = 13 - s. What is the greatest common factor of 18 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 12) in base 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -129 + 14?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**2 + 206*p - 205 = 0.\nAnswer: 1, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 3*f**2 + 3*f + 2. Calculate the remainder when (-672)\/63*6\/(-4) is divided by q(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/3 and -1\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 18 + 39)*(-70*a + 29*a + 87*a + 91*a) to t + g*a and give g.\nAnswer: 6165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 2106*c**2 + 33120*c + 131712.\nAnswer: 3*(c + 8)**2*(c + 686)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3210)\/460 - 4\/((-28)\/49).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 45. Let o = -4 + 9. Let h be (i - -1) + (o - 3). Solve 2*j - 12 = -h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1026.\nAnswer: -1\/342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/21 - (114\/(-21) + 5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373255217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - a + 54. Suppose -2*s + 2*r = -4, 1 = 2*s + 3*r - 13. Suppose 38 = -s*b + 118. Calculate the least common multiple of b and a.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.1, -2\/7, 53, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 87394534.\nAnswer: -2\/43697267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 10, 7, -21 in decreasing order.\nAnswer: 10, 7, -14, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 64151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -389.84 * -11\nAnswer: 4288.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + -125\/3. Let b be 2\/9 - (-190)\/(-45). Let p be 0*(b + 2)\/2. Which is bigger: i or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -24*w + 23*w - 3, -w = -19*b + 35 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 8*u**3 - 5*u**2 + 8*u. Let n(x) = -x**3 - x**2 + x. Determine -4*n(c) + y(c).\nAnswer: 12*c**3 - c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -14 - (27 - 4)) + -16 + (0 - -1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3*(-999)\/(-74).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29061 - -29062. Which is the fourth biggest value? (a) 2 (b) -6 (c) 0.2 (d) 0.4 (e) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542303 is divided by 635.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -5, 138, 7, 3, 1 in decreasing order.\nAnswer: 138, 7, 3, 1, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 4579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 392 and 1372.\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 283, 562, 843, 1126, 1411?\n\"Answer: s**2 + 276*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 0.5, -4\/21, -4 in descending order.\nAnswer: 59, 0.5, -4\/21, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gagaaa. Give prob of picking 3 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 5*n - 80 = 0, -268*i + 372 = -265*i - 18*n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23233053 is divided by 3592.\nAnswer: 3589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 754 + -747. Let k = -25 + 37. Calculate the smallest common multiple of j and 129\/k - (-9)\/(-12).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*p - 41 = 0, 4*m - 57 + 23 = -2*p. Suppose 2*y + m = r - 18, -5*r + 170 = -3*y. What is the remainder when r is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (4 - (-4 - -5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i - 73*i**3 + 1 - 164*i**2 - i + 162*i**2. Let g be k(1). Let r = g - -74. Which is smaller: r or 2\/101?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42669 + -297950\/7. Let z = 105 - n. Suppose -4\/7*r**2 + 0 - 2\/7*r**3 - z*r = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 d, and 2 z when four letters picked without replacement from pjzpd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-1 - (-1 - 0) - -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 200.19 rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 6 = -3*z, 0 = -3*w - 3*z. Let h(j) = 0*j**w - 5*j - 4*j**2 + 3*j**3 - 11 - 2*j**3 + 6. Give h(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 108, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1018035?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5\/8 - 3*p**4\/8 + 3*p**3\/8 + 3*p**2\/8 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + (sqrt(52) - -4*-1*sqrt(52)))*-4)\/(4*sqrt(324)*-1).\nAnswer: -2*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*a + 829 = 0, -4*a = -3*g + 8*g - 1075. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -11*s**2 - s. Suppose u + 1 + 0 = 0. Let f be t(u). Let a be 1\/f - 5\/(-10). Sort 0, -1\/5, a in descending order.\nAnswer: a, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**2 - 1. Suppose 19 = -2*l + v + 211, 4*l = -3*v + 374. Let z = l + -94. What is t(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -880*i**3 + 8*i**2 + 8*i + 12. List the prime factors of c(-3).\nAnswer: 2, 3, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**5\/4 + 287*w**4 - 37763*w**3\/4 - 714381*w**2\/2 + 749844*w = 0.\nAnswer: -1179, -24, 0, 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176110 to the power of 1\/2, to the nearest integer?\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.06+126.054929\nAnswer: 126.114929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24858 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84*h**3 + 928*h**2 - 212*h**4 + 509*h**4 + 484*h**4 + 82*h**3 + 496*h**2 wrt h?\nAnswer: 18744*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6) - 16\/6. Let m = g + 1. Let w be (1 - (m - -8))*-9000. What is w rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 0*m + 3*m - 2, 5*s - m - 10 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -894 - -1542. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 10:39 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -1352044240?\nAnswer: 1352044242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3244 + 3240. Which is the second smallest value? (a) o (b) -0.4 (c) -1\/4 (d) -34\/3 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 680 divide 932137880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 14, 21, 30, 41, 54, 69?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -804100 to the nearest ten thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aav.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 5*y - 3, -4*u - 3 = -2*y - 6 + 9 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 5*i = z + 716 - 647, -20*z + 45 = -i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*-10*7\/(-14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -107*k + 171. Let m(i) = -51*i + 79. Let d(l) = 13*m(l) - 6*x(l). Let a(v) = -15*v**2. What is d(a(h))?\nAnswer: 315*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -826715420 rounded to the nearest one million?\nAnswer: -827000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -2*t + i, 5*t - 103 = -2*i + 36. Suppose -2*h = h - t. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**3 - 2*z**4 - 60*z + 110*z - z**2 - 58*z - 2*z**3 in the form p*z**3 + d*z + y*z**2 + b + r*z**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**2 - 2*o + 86*o**2 - 29*o**2 - 28*o**2 to the form x + q*o + c*o**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a. Let q = 15 + -10. Let h(f) = 5*f**2 + 2*f**2 - q*f**2 - 3*f**2. Determine h(o(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 6:05 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((2*sqrt(252)*-2 + sqrt(252) + sqrt(252) - (0 + sqrt(252))*3) + (-3*(1 + sqrt(252)) - ((sqrt(252) - (sqrt(252) + 2*sqrt(252))) + 4))))**2.\nAnswer: 4536*sqrt(7) + 82089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - c**2 + c. Let q be x(1). Suppose -z + 3 = -q. Find the second derivative of -5*v + 2*v - 8*v + 5*v**4 + 4*v**z wrt v.\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -333a6 (base 11) in base 14?\nAnswer: -138cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -7642795 to the nearest ten thousand.\nAnswer: -7640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-19)*c*c)\/(c**(4\/11)\/c))\/(c*c**(-6)*c)**1)**(-2\/29) assuming c is positive.\nAnswer: c**(250\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w**3 - 13*w**2 + 6*w + 6. Let u(h) = -5*h**3 + 14*h**2 - 7*h - 7. Let n(x) = -7*a(x) - 6*u(x). What is the third derivative of n(y) wrt y?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/3245190 and -51\/2379806.\nAnswer: 35697090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1954, 1875, 1676, 1303, 702, -181, -1400?\nAnswer: -3009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-24) - ((-3718)\/(-390) + 12)) + 4\/(-30)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-504)\/84*(-1)\/6*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108 - -148. Let q be 24\/l - 6\/10. Solve q = 3*x - 5*m - 22, -2*m = -5*x - 3*m + 18 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -139348289957.\nAnswer: -139348289956.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 - (-1)\/(-4)*-25. Which is the nearest to 0.2? (a) -2\/3 (b) t (c) -0.07 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 12*j - 226. What is the lowest common multiple of a(23) and 78?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -3. Let p(k) = 6*k**2 - 2*k. Let z be p(w). Suppose -5*x + z = -3*x + 4*h, -4 = -h. Calculate the smallest common multiple of x and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**4\/4 + 7*y**3\/3 - 9*y + 16. What is v(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**6\/120 + 7*o**5\/60 - 7*o**2. Find the third derivative of w(k) wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4945 - 4702. Calculate the remainder when g is divided by 64.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-135 + 43*i + 135)*(i**3 + 11*i**3 - 3*i**3) as q*i + v*i**3 + a + p*i**4 + u*i**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77305?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - (5 + -4))\/(-2). Suppose 2*b = -4*w + 4, b - 4*b + 2*w - 18 = 0. Let s be ((-11)\/b + -2)\/((-18)\/4). Sort l, -5\/4, -1\/12, s in increasing order.\nAnswer: -5\/4, s, -1\/12, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194\/22 + (-6)\/(-33)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1230 + -1227. Let r(l) be the third derivative of 3\/2*l**b + 0 + 1\/24*l**4 + 0*l - 5*l**2. What is r(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 12 + 5 = 5*h, 2*h = -3*m + 12. Suppose 0 = 2*k - 5*z - 20, 2*k + 0*k - 12 = h*z. Solve 0 = -5*y - k*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 7*h**2 - 5*h - 1. Let k = 7 - 13. Determine u(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*v - 9, 0 = 2*v + 5*k + 8 + 10. Suppose -c - 6 - v = 0. Let x = c - -8. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190799, -381608, -572429, -763262?\nAnswer: -954107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48778 (base 10) in base 4?\nAnswer: 23322022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 4*s**2 + 4*s - 1. Let x be d(3). Let c be 4\/x - (3 - 2). Let t(h) = -720*h - 7917. Let r be t(-11). Put r, c, -2, -1 in decreasing order.\nAnswer: r, c, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 38, 204.\nAnswer: 4, 38, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-20)*35\/14\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10909 - -9?\nAnswer: -10900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 9*s**3 + 14*s**2 - 124*s + 2. What is d(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w\/((w*w**6*w)\/w)*w))**39*(w*(((w\/(w\/(w**2\/w)))\/w)\/w)\/w)\/w*w*(w\/((w\/w**(2\/3))\/w))\/w assuming w is positive.\nAnswer: w**(701\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.9 - -3.09. Let z = f + -0.14. Let i = 0.25 + z. Which is the third biggest value? (a) -1\/2 (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4))\/((-1)\/(-68)*20\/20)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -34*m. Let o(v) be the second derivative of -25*v**4\/12 + 2398*v. Give o(u(k)).\nAnswer: -28900*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -3.7609.\nAnswer: -0.7609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 29 + -31 + -37.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1015600, 2031204, 3046808, 4062412, 5078016?\n\"Answer: 1015604*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 2. Let g(v) = 4*v**2 + v**2 - 4*v**2 - p*v**2. Let j(a) = -6*a + 2. Let t(c) = 7*c - 3. Let f(h) = -3*j(h) - 2*t(h). Calculate f(g(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z - 5. Let q(j) = -8*j - 4. Let y(s) = 5*q(s) - 4*t(s). Let h(n) = 0*n + 0*n + n**2. Determine h(y(a)).\nAnswer: 144*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**3 + 0*k + 2*k**2 - k**2 + k - 2*k. Let f be 25\/20 - 1\/4. Determine o(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - 0. Let b(p) = 2*p**2 + 4*p + 2. Let a be b(m). Find the third derivative of -v**3 + 0*v**2 + a*v**2 - v**3 wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 5:09 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -248564 or -1.861?\nAnswer: -248564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z + 0 + 0 - 2*z + 1 - 1 + (-4 + 2 + 1)*(0*z - 6*z + 4*z) + 2*z - 2*z - z to x + q*z and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 1893*f**2 + 11*f - 37. Let i be x(-18). Let g = i - 378097. What is g rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -33. Suppose u = -4*q + 5*l + 23, q - 1 = l + 4. Calculate the highest common factor of q and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1993\/20 + -445\/4. Is s greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5\/2, 0.4, 1.9156, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 16 - 8. Let v be 4\/18 + (-376)\/72. What is the smallest value in 3, v, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -94, 3\/385, 1 in descending order.\nAnswer: 1, 3\/385, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*n - 0*n - 17, 3*n = -9. Suppose -j + h = -6. Let t(k) = -k**2 + 7*k + 2. Give t(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -0.5, -2\/5, -3, -25848 in decreasing order.\nAnswer: -2\/9, -2\/5, -0.5, -3, -25848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 11:41 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 441*m**2. Let b(c) = -8*c**2. Calculate z(b(u)).\nAnswer: 28224*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -13. Let h = 16 - 7. Suppose h = 3*v - j, -v + 3 = 2*j + 3*j. Solve v*s = -r - 3 - 3, f = 3*s - r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89414540?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5\/5 - 9*z**4\/5 - 21*z**3\/5 - 19*z**2\/5 - 6*z\/5.\nAnswer: -z*(z + 1)**3*(z + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 3*c - 2*v, -235 = -4*c - 0*c + v. Let j = -4 + c. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 5:18 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-259)\/(-14) + -23)*(2*-3)\/(-3) + -37?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdbb when four letters picked without replacement from bdbbbddbbddbdd.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -428.3 and 0.69.\nAnswer: -295.527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15508.\nAnswer: 2, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -19, 1\/8 in increasing order.\nAnswer: -19, -1\/4, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1179 = 6*c - 6735. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*(w\/(w**(3\/7)\/w)*w)\/w))\/((w\/((w*w\/w**(-4\/7))\/w))\/w*w)*(w*w**(2\/5))**(2\/63) assuming w is positive.\nAnswer: w**(-43\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - 3 - (-27 - -22) - -11.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r + 38. Let g be s(-8). Solve 2 = -w + g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/1 - (-6 - -6). Let p = q + 0. Let i = -2 - p. Do i and 3 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1414351 - 1?\nAnswer: -1414352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3384 divide 2127047040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**5\/3 + 4195*k**4\/3 + 15235*k**3 + 136805*k**2\/3 + 153250*k\/3 + 19320 = 0?\nAnswer: -828, -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -20*j**3 - j - 97. Let u(t) = -2*t. What is u(f(x))?\nAnswer: 120*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-3 + 2)\/(-2)) + 0. Suppose -2*f = p*f. Solve 15 = 5*u, -5*u = h - f*u - 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21406145 divided by -2?\nAnswer: -21406145\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from {k: 2, g: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (216*x + 478*x + 603*x)*(2*x - 4*x + 0*x) - 2*x**2 - 3*x**2 + 6*x**2 - 4*x**2 + 2*x**2 + 0*x**2.\nAnswer: -2595*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = k + 5*w - 15, -5*w + 40 = 5*k. Solve -5 = -0*q - k*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/((v**(-4)*v)\/v))))\/(v\/(v*v*v*v\/(v\/v**(13\/5)))) assuming v is positive.\nAnswer: v**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4838520 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: Let h = -8196 - -8196. Let y(x) = -x**2 + 4*x. Let v be y(2). Which is the closest to 0? (a) h (b) v (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 494 divided by -19.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n**5 - 7100*n**4 - 547495*n**3 + 2113290*n**2 + 765000*n = 0.\nAnswer: -375, -102, -1\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6, -13, -24, -39, -58?\n\"Answer: -2*m**2 - m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -7. Suppose m = -j - 2*j. Suppose j*k = -k + 14. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31507 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 5*x + 18, -m + x + 2 = m. What is the nearest to -1\/3 in -0.2, m, -0.05?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111202212200 (base 3) in base 7?\nAnswer: 2206242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 110*n + 128. Is 20 a factor of m(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -6.9, -2, 0, -5 in decreasing order.\nAnswer: 0, -0.2, -2, -5, -6.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 876\/(-8103)*((-1)\/(-1))\/(-3 + 15\/3)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/71, 24, 3?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 122 - 97. Suppose 5*i - 5*d + d - 40 = 0, -2 = 2*i + 2*d. Put i, v, -2 in increasing order.\nAnswer: -2, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.48416906 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1003 - 3022033?\nAnswer: -3023041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/3 - 4\/6. Let a(z) = z**3 + 5*z**2 + 3*z + 5. Let b be a(-4). Suppose -25 = -2*f - 3*v - 7, -b = -f - h*v. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 2*b**2 - b - 5*b**2 + 12 + 61*b. What is the remainder when 143 is divided by z(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 133425\/(-30)*12\/(-10). Suppose 0 = -98*w + 89*w + d. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 96 - 15 = 3*d, 0 = -d - x + 22. Suppose -j + 6*j = 295. Calculate the remainder when j is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121917769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 83 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2117 + -2302.4. Let p = u + 181.4. Let x = -0.1 - -0.1. Which is the biggest value? (a) p (b) -0.2 (c) 3 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 4 + 5*q + 0*q**3 + 3\/4*q**4 + 0*q**2. What is the derivative of x(s) wrt s?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924748 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 292 + -115.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*w + 214080 = -2855*w + 41511 for w.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*i - 14, -4*m + 12 + 10 = 2*i. Let g(r) be the first derivative of 0*r**4 + 0*r**2 + 2\/5*r**5 + 0*r**m + 0*r + 1\/3*r**6 + 1. Factor g(f).\nAnswer: 2*f**4*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.8 - -1.8. Which is the biggest value? (a) 2 (b) 2\/11 (c) -5 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 b when four letters picked without replacement from ooqqbqbonnononoqbb.\nAnswer: 4\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3\/9)\/((-4)\/(-204))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a century in decades?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 999897 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-1 - -1)) + 9 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**7\/105 + g**6\/30 + g**5\/10 - 18*g**2. Find a, given that w(a) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 8 = s. Suppose 21 - 87 = 24*f - 474. Put -1, f, s in decreasing order.\nAnswer: f, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4213?\nAnswer: 11, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3416181528 to the nearest integer?\nAnswer: 58448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (5 - 12) + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -5*k + 31, 11*q - 8*q = -2*k + 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112)*4 - sqrt(28))*-3)\/((sqrt(4) - (sqrt(4) - sqrt(16)))*-6*4))**2.\nAnswer: 343\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**3 - 12*w**2 - 25*w + 53. Let z be q(8). Does 30 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 4*m**2 - 2*m - 5. Let u = 47 + -51. Let d(y) = -2*y**2 - 9*y + 8. What is the remainder when t(u) is divided by d(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - 70*4*(-233)\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 12 = -2*w. Let d(o) be the first derivative of 0*o**w + 0*o + 2\/5*o**5 - 2\/3*o**3 + 0*o**2 + 2. Factor d(g).\nAnswer: 2*g**2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a century in months?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4795 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/39 and -50\/14487.\nAnswer: 188331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 405*g**2*m**4 + 26*g**2 + 9*g*m**2 - 2*m**3 wrt m?\nAnswer: 9720*g**2*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o. Let j(d) = -7*d - 93. Calculate j(z(v)).\nAnswer: -7*v - 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 2*s + 2. Let y be b(-4). Suppose 4*f - y = -18. Find the third derivative of -9*a**2 + a**4 + 13*a**f + 12*a**2 wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16466 - -49396. Round h to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*((-1600)\/(-20))\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 5:57 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*d - 5*d = -12, -2*x - 9 = -d. Let u(g) = g. Let p(c) = -8*c + 5. Let f(a) = 8*a - 4. Let t(k) = -6*f(k) - 5*p(k). Determine x*u(s) - t(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 8 = v, -2*v + 4*v - 2*k = -8. What are the prime factors of (-5)\/40 + (-561)\/v?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261181 + 18*m**2 + 261190 - 4*m**3 - 18*m**2.\nAnswer: -4*m**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 288, 640, 1134?\nAnswer: 1770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -20. Suppose -3*c - l = 5. List the prime factors of (-6)\/c*(-56)\/(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 2:28 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -351, -1546, -3519, -6264, -9775, -14046, -19071?\nAnswer: -24844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by -6 + 3 - (1 - 14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**2 - t - 3. Calculate the remainder when 92 is divided by s(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4898040 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30868?\nAnswer: 2, 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11433332 (base 6) in base 5?\nAnswer: 43043420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25777216.\nAnswer: 2, 402769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32080 and 72472.\nAnswer: 290612720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 334, 514, 694, 874, 1054?\nAnswer: 1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2 + b**2 - b**3 - 4*b**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.9, 9, -4, -5?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18 - -42226378293.\nAnswer: 42226378292.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7259, 14693, 22127, 29561, 36995?\nAnswer: 44429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + (18 - (12 - -15)) - 17 - (1 + -97)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.5 - 0.5. Let l = -5 + q. Let m = -4 + 2. Which is the second biggest value? (a) m (b) 0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 5*x - 28. Calculate s(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 11*r**2 + 17*r - 41. Let u be k(-13). Let y = u + 68. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 5 - 3 - 374*m**2 + 5 as x + q*m + f*m**2 and give f.\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 771*u - 768.\nAnswer: -3*(u + 1)*(u + 256)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 15*x**2 + x + 19. Let d be i(-15). Suppose 5*a - l = 4*l + 85, 17 = a - 2*l. Let f = a - d. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2450412 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274905 divided by 274905.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**7\/126 - 2*d**6\/45 + d**5\/20 + d**4\/9 - 2*d**3\/9 + 22*d. Factor s(g).\nAnswer: g*(g - 2)**2*(g - 1)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 6. Let i(k) = -9*k - 9. Suppose 5*m + l - 26 = 0, -3*m - l - 14 = -6*m. Let h(u) = 4*u + 4. Give m*h(q) + w*i(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - -3 - -2*1. Let g = -215 + 213. Which is the closest to y? (a) g (b) 1\/10 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 9 = -5*q, -u - 2*u + 10 = 2*q. Let t(f) be the second derivative of 0*f**2 + 0 + f + 1\/20*f**5 + 1\/6*f**3 + 1\/6*f**u. Factor t(n).\nAnswer: n*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2703879 a multiple of 734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 258\/9 + 2\/6. Let f = z + -38. Let a(m) = m - 2. Let n(j) = -5*j + 9. Let t(o) = f*a(o) - 2*n(o). Let b(p) = p**2. Calculate b(t(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 16 = 2*j - 0*j, -j = -3*w - 8. Solve 3*g + 7*o - 3*o + j = 0, -2*g = -5*o + 13 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = -4*j. Suppose -3*o + 0*m + j*m = -8, -5*m - 9 = -2*o. Let h = 9 - o. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*sqrt(2600))\/(-4*sqrt(250)\/sqrt(5)).\nAnswer: 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 43.2808.\nAnswer: 8.65616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u - 5*h = -14*u - 10735, -4*h = -5*u + 10735. What is the highest common factor of u and 452?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1864 less than or equal to -1865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5\/3 - 32\/21. Let x be (-15 + -1)*4 + 4. Let g = -301\/5 - x. Put g, -4, o in decreasing order.\nAnswer: o, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -49. Is 11 a factor of (g - (-3)\/(-9))*72\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k + 43*k**2 + 34*k**2 + 44*k**2 + 4*k in the form s*k**2 + v + g*k and give s.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1998, -5041, -8084?\n\"Answer: -3043*c + 1045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.013 and -11956 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1026.465 minutes?\nAnswer: 17.10775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -226014?\nAnswer: -226011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, j: 3}. What is prob of sequence jjvv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugug when four letters picked without replacement from {j: 7, g: 4, u: 2}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4785344.9 from 0.065.\nAnswer: 4785344.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 (base 10) in base 16?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -122, -225, -318, -401, -474, -537, -590?\n\"Answer: 5*h**2 - 118*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-3 + -2 + sqrt(28) + sqrt(28) + 1) + 3)*6)**2.\nAnswer: -7776*sqrt(7) + 39204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 51*x**4 + 49*x**4 + 45*x**4 + 5*x - 147*x**4 in the form n + r*x**3 + l*x + d*x**2 + i*x**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 - 70*s**2 + 71*s**2 + 2*s**4 - s**4 - s to the form y*s**3 + q*s**2 + m*s**4 + a*s + h and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/4 - 4*u**3 + 93*u**2\/4 - 117*u\/2 + 54.\nAnswer: (u - 6)*(u - 4)*(u - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ioura. What is prob of sequence uo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2215159418 to the power of 1\/3, to the nearest integer?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 742 and (34 - -25) + (8 - 25)?\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*v - 133*v - 1000. Let x(l) = -l**3 + 4*l**2 + 4*l + 6. Let m be x(5). Sort v, -2, 4, m in descending order.\nAnswer: 4, m, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -2.71 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-77)\/44)\/((-3)\/12). Suppose 0 = 7*n + o*n + 42. What is the biggest value in -0.4, n, -36?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 0*v + 40 = -3*c - 0*v, 21*c = 38*c - 4*v - 32 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.0029 (b) 1.6 (c) -0.4 (d) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.17, -5, -6\/5, -0.5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 0*f**5 + 0*f + 109 + 2*f**2 + 0*f**4 + 2*f**7 + 1\/2*f**6 - 4\/3*f**3. Find the third derivative of x(d) wrt d.\nAnswer: 1680*d**3 + 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.315808598 - 546.817807398. Let v = n + 546.332. Let o = v + 0.17. Round o to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.1, -0.2, -3, -180 in increasing order.\nAnswer: -180, -3, -1, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 696 divided by 15050.\nAnswer: 348\/7525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2 - 2 - t. Let o be (-2)\/(2 - (-10)\/(-4)). Let b(g) = 7*g**2 - 2*g**2 - o*g**2. Give j(b(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3802 = 9*n + 4126 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -62*((-2 - 10) + 2). Let x = v - 615. Solve 3*t + 18 = -3*a, -x*a - t = 11 + 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -29, 9, -319.9?\nAnswer: -319.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000184634 rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, -5, 103 in decreasing order.\nAnswer: 103, 58, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -6.002. Let p = h - -3.998. Let x be ((-1)\/(-5) - 1) + 30\/(-25). Which is the closest to 2\/11? (a) x (b) p (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -218*u + 2. Let q(y) = -218*y + 1. Let b(f) = -6*p(f) + 5*q(f). Is b(1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/3*(-1881)\/(-132). Let a = 198 - o. Solve 4*d = -2*z + a, -5*d + 4 = 3*z + z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 0, -1\/4 in decreasing order.\nAnswer: 0, -0.04, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -160\/3 (b) 87 (c) -7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-6))\/(168\/4 + -62).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1306\/5 in -6\/5, 8, -19, 0.3?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 47840825 and -0.4.\nAnswer: 47840824.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3811087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 113450073203 - 171745182613. Let u = -58295109976.99999663 - a. Let r = 567 + u. Round r to seven decimal places.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619*w = 248*w - 415*w + 10218 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three fifths of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1029 times 0.7?\nAnswer: -1.47203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 17. Is u(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 4*d, 41*w - 40*w = -5*d - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5924 + 6108. What is the greatest common divisor of 69 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4 + 3*j + 0 - 4*j**4 - 5*j**4. Let r(y) = 10*y**4 - 4*y + 5. Let w = 28 + -33. Let m(c) = w*z(c) - 4*r(c). Find the second derivative of m(b) wrt b.\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 7:38 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*q + 11*q - 6*q)*(-5 + 11 + 3)*(1 - 1 + 1)*(3*q - q - 4*q).\nAnswer: -234*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -15 + 18 + 2\/1. Suppose -2*j - 3*n = -8*n + 6, 3*j - 16 = -d*n. Solve 5*b - 4*m = -11 - j, -3*b + m - 5 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -0.5. Let n = 5 + -5. Let l = n - h. Which is the smallest value? (a) l (b) -2\/13 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -663 + 123. Let m = f + 539.4984. What is m rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, a: 15}. What is prob of picking 3 a and 1 s?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -24*v**2 + 668*v + 143. Calculate k(28).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 84 = -q, 21*u + 248 = 24*u - 2*q. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -128 + 88. Let j = b + 68. Let g = 27.8 - j. What is the third smallest value in 0, 2\/7, g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 4*l + p, 2*l + 2*p = l + 56. Suppose 156 = -r + l. Let x = 307 - r. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -175.85 and 274.\nAnswer: 98.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -448.72 - 9.28. Let o = z + 458.5. Sort 2, o, -0.3 in descending order.\nAnswer: 2, o, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -75, 5795, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 13020, -106.9, 5\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, z: 5}. Give prob of sequence zjj.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3632, 4517, 5514, 6623, 7844, 9177?\n\"Answer: 56*t**2 + 717*t + 2859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -45. Let o = 131 + -68. What is the greatest common divisor of o and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -17545.\nAnswer: 4\/17545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b = -69*b + 392 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136829 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((437\/1311)\/(58\/72))\/(12\/(-8))?\nAnswer: -8\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 985796, 985783, 985754, 985703, 985624, 985511, 985358, 985159?\nAnswer: 984908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 25*m - 30*m + 46 = 0, 16 = 4*m. Suppose 90 + 129 = 3*o. Let x = o - y. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12323\/18 + 684. Let m be ((-84)\/35)\/(1\/(-5)). Calculate the common denominator of z and -1*9\/m*-50.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 10*r - 13 + 1 + 7*r**2 - 3. Let a be y(8). What are the prime factors of -2 + a - (-48 + -10)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 4, 3\/2, 1\/4 in descending order.\nAnswer: 4, 3\/2, 1\/4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 654280 and 6560?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 + 149 = 63*c + 15. Let l(b) be the second derivative of 0 + 0*b**c + 17\/6*b**4 + 12*b - 37\/2*b**2. What is the derivative of l(u) wrt u?\nAnswer: 68*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 2*k + 2*k - 10, -2*h + 5 = k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 204 - -58. Suppose 11*u - 365 = q. Calculate the remainder when 396 is divided by u.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 26 = 2*l - 5, 0 = 2*l - y + 1. Suppose -3*s = -3*g - 15, 3*s - l*g - 17 = -0. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -1) + (-8 - -22) + (13 - 23)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 1588 divided by 1?\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 812545226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 96099.2ng in micrograms?\nAnswer: 96.0992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 5:27 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 6*p**2 - 8*p - 10. Let i be h(9). What is the greatest common factor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3493 is divided by 3303.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*sqrt(6)\/sqrt(2) + sqrt(3)).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0199339873 to four dps.\nAnswer: -0.0199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1973 + 3209. What is the greatest common divisor of 24 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 11*f**7\/2 + f**6\/6 - 493*f**3\/3 + 5*f + 160. What is the second derivative of b(r) wrt r?\nAnswer: 4620*r**3 + 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-36) - (147\/(-27))\/(-7). Let v be (0 - o)\/(3\/9 - 0). Are -1.6 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/2100*3*(-5)\/6?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37440233*c**4 - 1895*c**2 - 37436099*c**4 - 1542*c**2 wrt c.\nAnswer: 99216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/((-4)\/(2*54))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47496.\nAnswer: 2, 3, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-1)*(-5 - 1). Let a be 5\/4*16\/4. List the prime factors of (a\/(-4))\/(3\/r).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 2*z + 34. Let p be a(0). Let r(w) = -p + 15 + 20 - 2*w. Give r(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -3*m**6\/10 - 3*m**5\/20 + 53*m**2\/2 + 57*m + 1. What is the derivative of w(p) wrt p?\nAnswer: -36*p**3 - 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(2\/(-7)))\/1. Let c = 284 + -241. Suppose -2*i - 5*n = -c, -i = 3*n - 19 - 4. Calculate the greatest common divisor of i and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 54.9399 millennia?\nAnswer: 5493.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 31*g**2 - g. Determine r(-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 2501 (c) 0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 11:39 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2 = -5*v + 2*v, -4*v = 4*t - 44. Let u(i) = i - 7. Calculate u(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*a + 69*a = 364 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36866779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32828087449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*c + 4*x - 7 = 0, 3*x + 31 = 5*c. Sort c, -36, 3, 4.\nAnswer: -36, 3, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 2, 0, -4 in decreasing order.\nAnswer: 2, 0, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c**4 - 111*c**3 + 147*c**2 - 69*c + 6 = 0. What is c?\nAnswer: 1\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 216699*u + 97. Suppose -3 = -3*d + 3*o, 0*d = 2*d + 5*o + 26. Let z be j(d). What is z rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -459*c**2*f**2*i - 16*c**2*f**2*l**3 + 2*c*f**2*i*l**3 + 3*c*f**2*i + c*f*l**3 + 2*c - 5933*f*i*l**2 wrt c.\nAnswer: -918*f**2*i - 32*f**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0966 and 0.792.\nAnswer: 0.8886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n + n**4 + n**4 - 4 + 5*n**4 + 3 to the form p*n**4 + j*n**2 + r*n + a*n**3 + q and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2599119, 10396467, 23392043, 41585847, 64977879, 93568139, 127356627?\nAnswer: 166343343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, o: 17}. Give prob of picking 1 o and 1 q.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a day in hours?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-one halves of a millimeter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 29*j + 4. Let v(m) = -30*m - 4. Let b(y) = -2*f(y) - 3*v(y). Let h = -18 + 22. Let n be b(h). Calculate the highest common factor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -9*x**2 + 83*x - 112. Let y be l(5). Solve 36*n - 330 = -y for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 2. Suppose -3*r = -w - 115, 5*w + 380 = w - s*r. Let y = -142 - w. Round y to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1986284543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -16466473924114 - -0.4?\nAnswer: -16466473924113.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 32 = 4*d, 5*k - 5 = 5*d + 5. Solve k*u - 2*n + 3*n = 6, -u + 3*n - 2 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 82 + 6?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 2, r: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -12. Let u = 1.7 - 1.5. Which is the nearest to u? (a) 2\/21 (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 - -217. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**3 - 4*z**3 - 2*z**4 - 9 - 280668*z - z**2 + 4*z**3 + z**4 + 280668*z + (-z - 5 + 5)*(-3*z**3 - z**3 + 0*z**3).\nAnswer: 3*z**4 + 4*z**3 - z**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2542735555?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -1)*4\/(-8). Let p = 255.4 - 255. What is the smallest value in -0.5, z, p, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22536, 58527, 118508, 202473, 310416, 442331?\nAnswer: 598212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 104.2?\nAnswer: 106.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -5*s**3\/6 + 31*s**2 - 52*s - 2. Let h = 9 - -1. What is the tens digit of o(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.03 * 1\nAnswer: 1.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1601 is divided by 89.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10750 a factor of 2943339250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from wwwwwwpp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y + 57 = 169 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81)\/144)\/(261\/2784)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3881665?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/5 - 6*q - 32\/5.\nAnswer: 2*(q - 16)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*m - 156. Let v = 55 - m. Suppose 4*a + 8 = 0, 2*a - 4*a - 2941 = -v*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 5*t - 31, -3*p + 5 = t - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-8))\/(3*(-3)\/18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4159\/3 + 1405. Find the common denominator of y and 0\/(-2) + 19\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1912 is divided by 370?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/9, -3.2, -0.5, 0.2, -7, -2\/11, 0.003?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 952 a factor of 571821972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**3 - 7*q**2 + 8*q - 7. Let n(j) = 4*j**3 - 6*j**2 + 7*j - 8. Let r(d) = -3*c(d) + 2*n(d). Is r(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -562 (b) 3 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 86*d + 163*d + 3644 + 7312 for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from fwfffwwwwffwfwffww?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133.6 + 1.6. Let r = g + 144. Let j = 8 - 90\/11. Which is the third biggest value? (a) r (b) j (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -2.2 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -5*j**4\/12 - j. Let c(p) = -9933*p**2 + 224. Let b(y) = 133*y**2 - 3. Let x(n) = -224*b(n) - 3*c(n). Give f(x(i)).\nAnswer: -245*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 31 (b) -1 (c) -2 (d) 3 (e) 2\/57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -60, -199, -466, -903, -1552, -2455?\nAnswer: -3654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21113213300 (base 4) to base 3.\nAnswer: -11121210001202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/98, 0.13, -3\/5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 3:44 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 7 = 4*r, -r = -4*r - 4*y + 29. Let l(t) = -6*t**2 + r*t**2 + 4*t**2. Let m(n) = -3*n. Determine m(l(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10489 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 23 = -3*d, 3*d - 28 = -0*d - 5*v. Let r be (d + 2)*(-10)\/6. Let n(h) = h**3 + 4*h**2 - 6*h + 2. Is n(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 62 + 38 = 4*w, -3*w - 4*h + 61 = 0. Solve 0*m - 2*m - 22 = 3*r, 2*r + 3*m + w = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6749 or -6748?\nAnswer: -6749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 2*y + 55 + 10*y**3 - 8*y**3 in the form c + i*y + f*y**3 + o*y**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**3 - 3*k**2 + 3*k. Suppose 6*l + s - 6 = 3*l, l = 5*s + 18. Let p(f) = 6*f - 5*f + f**3 + f**2 - 2*f. Give l*p(b) + u(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(147))**2 + -5 + sqrt(147)*-1 + (3 + sqrt(432) - (3*sqrt(3)*-5)**2).\nAnswer: -485 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a factor of 156148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/(-2*sqrt(10)))\/(sqrt(128) + sqrt(32)))**2.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 784 - 782. Solve -z*g + 16 = 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -37, -20, -5, -2 in descending order.\nAnswer: -1, -2, -5, -20, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2036814*y**2 - 4069603*y**2 + 2032788*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 + -0.7. Let x = -6 - -3. Which is the nearest to l? (a) -0.3 (b) x (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 10*a - q = 1, 3*q = -3*a + 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 94298076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*p - 6. Suppose -5*y + b + 80 = 0, -4*b = 3*y + 7 - 32. Let o = 19 - 16. Solve 0*t + y = p*d - 4*t, o*d - 18 = 5*t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 175*k**2 + 93*k + 505. Is c(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*k = -3*k - 547, 546 = 4*b - 2*k. Suppose b = 5*v - v. What are the prime factors of v?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 17 + 8 - (1 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -29, -17, 1?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3995442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 83*b**2 - b - 4. Suppose n - 2 + 4 = 0. Let m be z(n). Suppose h - 4*h = -m. Calculate the highest common factor of 44 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6407 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2. Let v(o) = o**2 + 2*o - 2. Let g(c) = -9*c**2 - 17*c + 17. Suppose -10*j - 255 = -5*j. Let w(t) = j*v(t) - 6*g(t). What is s(w(a))?\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-45))\/((-154)\/110).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a millimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 7 + 48 = 0. Let b = a - 7. Suppose 2*s = -0*s + 5*d + 13, -b*s - d + 15 = 0. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -51*i**6 + 2*i**5\/5 + 69*i**2\/2 + 13*i + 1166. What is the second derivative of y(d) wrt d?\nAnswer: -6120*d**3 + 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, w: 1, k: 1, s: 4, h: 1}. Give prob of sequence ws.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -70 and 1112953013?\nAnswer: 1112953083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (36\/21)\/((-4)\/42*-3). Let u = 4 - 2. Suppose 2*b - b - 6 = 0. Solve 2*p = -2*r - 4, -2*r + b = -u*p - m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*i + 4*q + 16, -6*q = -3*i + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 2.8. Let f = -0.200138 - g. Round f to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - -3*sqrt(684))**2 - sqrt(684) - 4*(2*sqrt(19))**2.\nAnswer: -6*sqrt(19) + 10640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 643 or 642?\nAnswer: 643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 105 (base 13) to base 6\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -30. Suppose k + 3*u = 10, 0 = 4*k + 2*u - 9 - 11. Calculate the least common multiple of o and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 - -85. Is 598\/5 - (-10)\/w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 1. Let a be m(-3). Suppose -a*l + 0 + 4 = 0. Is (l + -5)\/(4\/(-26)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/(-117)*(-117)\/18.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2299) + -2 - ((sqrt(2299) + 2)**2 + -5)) + 0 + (sqrt(2299) - sqrt(2299)*2*-6 - -4*(sqrt(2299)*1 + sqrt(2299)))**2.\nAnswer: -33*sqrt(19) + 1011560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/654 and 139\/6.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c. Let z(r) = -61*r**2 + 105*r**2 - 2*r - 165*r**2. Give z(i(v)).\nAnswer: -484*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-12)*3*1*1. Is s not equal to -7\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 1 - 29)*12. Let l be (-1 + -9 - -13)\/(3\/(-254)). Let w = l - o. What are the prime factors of w?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14296*r + 54 = -2*v - 14291*r, 3*r - 30 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -v + 3. Let a(w) = -46*w - 1 + v + 47*w. Let m(k) = -4*k**2 + 9*k - 9. Let b(g) = -g**2 + 2*g - 2. Let s(j) = -9*b(j) + 2*m(j). What is s(a(t))?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4 - 85190*y**3 + 252070300*y**2 + 1007561411000*y.\nAnswer: 5*y*(y - 9610)**2*(y + 2182)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 0*u = 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -1. Let w(v) = v**2 + 9*v + 51. Let h be w(-7). Solve -o = 4*y - 2*r - 1, -4*y - h = 5*r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-153)\/(-168) - 1)*20. Let v be 2 - (-1)\/((-378)\/753). Let i = v + j. Find the common denominator of i and -89\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9438703 to the nearest integer?\nAnswer: 3072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 3, -78, -21, -1 in decreasing order.\nAnswer: 3, 1, -1, -3, -21, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 41. Let g(h) = -5 - d*h + 3*h - 2*h. Let r(j) = 2*j - 2. Let v(q) = 4*q - 3. Let k(b) = 7*r(b) - 4*v(b). Determine 2*g(w) - 5*k(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33\/74 - 2\/37. Let h = 10 + -14. Let u be ((-2)\/h)\/((-3)\/2). Which is the smallest value? (a) g (b) 1\/2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + s - 44*s**2 - 77*s**2 - 89*s**2.\nAnswer: -210*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) - (sqrt(50) - (sqrt(1800) - 2*sqrt(1800))) - (2*sqrt(450))\/sqrt(9))\/((sqrt(300)\/(sqrt(70)\/sqrt(7)))\/sqrt(3)).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -12*z - 5. Suppose -2*q - 25 = 3*c - 3*q, 20 = -4*c - 2*q. Let g(s) = 6*s + 2. What is c*g(d) - 3*o(d)?\nAnswer: -6*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 8:06 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 222552?\nAnswer: 222552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 66047515447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-9) + (-3565)\/(-186)*-2.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28926 - -4?\nAnswer: 2892a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 0 + 4*n**2 + 37\/12*n**4 + 4*n + 53\/6*n**3. Differentiate z(y) with respect to y.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 2 (b) -187\/23 (c) -3 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t**2 - 4*t - 3. Let v = 34 + -32. Let b(k) = -9*k - 6 - 7*k**2 - 2*k**2 - 2*k**2 + 0*k**v. Let l(h) = -6*b(h) + 13*z(h). Calculate l(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3245659?\nAnswer: 3245659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 6*n - 1. Suppose -3*t = -k + 9, t + n - 9 = 0. Solve 3*h - z - 3 - 4 = 0, -h = 4*z - k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2 - 4 + 4*x**3 - 3*x**3 - 6*x**2 + 7*x - 2. Suppose 3*i - 2*i - 6 = 0. Let p be f(i). What is p rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(-25)*5*3. Let m = -670 + 756. Suppose -3*k + m = l, -2*k + 2*l - 6 = -74. What is the highest common factor of z and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i**(-3))))**28*i\/((i*i*i*i*(i\/(i\/(i\/(i*i**22\/i))))\/i*i)\/i)*i**(-3\/11) assuming i is positive.\nAnswer: i**(-410\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a kilometer in meters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/3 = 15820691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3308999 to the nearest integer?\nAnswer: 1819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c - 9*c + 9*c**2 + 4*c to x*c + t*c**2 + w and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 152091 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2544\/6572 - 4\/10. Does r = -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 2*s**5\/5 + s**4\/2 - 4*s**3\/3 - 1. Suppose q(j) = 0. What is j?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 15*j + 8. Let l be f(-15). Solve l*c = c + 28 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392688 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3.9 (b) -1 (c) 2 (d) 652 (e) 5\/6 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.066381 + 76289472.\nAnswer: 76289471.933619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + (sqrt(1331) + 0)**2).\nAnswer: 5304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1175 + -785. Suppose 3*h - f = -232, -5*h + 3*f = 2*f + u. List the prime factors of 2\/(-11) - h\/11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2857.623 - -2856. Round x to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12071396 > -12071397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n. Let m(u) = -28*u + 80. Let o(v) = 28*v - 60. Let z(p) = 3*m(p) + 4*o(p). Determine -10*r(q) - z(q).\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**3\/7 - 1819206*t**2\/7 - 3638475*t - 12734736 = 0.\nAnswer: -7, 606416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -273, -607, -1073, -1671?\nAnswer: -2401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3692*l**3*o**3 - 3247*l**3 - 4*o**3 with respect to o.\nAnswer: 11076*l**3*o**2 - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(448)*2)*-2)**2.\nAnswer: -256*sqrt(7) + 7184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -342986, -342976, -342970, -342974, -342994, -343036, -343106?\nAnswer: -343210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 + 3)*(-14*x - 11*x + 3*x)*(-2*x**3 + x**3 + 4*x**3).\nAnswer: 264*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*d**3 + d + 205338*d**2 - 205338*d**2 + 0*d - d.\nAnswer: 112*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*f - 21. Let r(s) = -s + 6. Let a be r(f). Suppose c + 0 = a. Solve -v = -0 - c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 = -4*j - 0, 3*o + 9 = 0. Is 1217 - (3 + (j - 7)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8786, 8784, 8782, 8780, 8778?\nAnswer: 8776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + (13 - 8) + 8 + -17 + 0 + 8?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1433 = 120*c - 7433. Solve 6*t = -44 + c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -20*n**2 + 3045*n + 25649. Determine z(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.7357 rounded to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -97, -83, -53, -1?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a27a - 217?\nAnswer: a063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*q + 37 + 194 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1435 - 0.0696. Let a = p + 0.0175. Round a to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**3 - 44*n**2 - 45*n - 324. What is the remainder when f(-22) is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y**2 + 1218 - 1218)*(5*y**2 - 2*y**2 - y**2) + (-2 + 4 - 3)*(3*y - y**4 - 3*y) to the form s*y**4 + h*y + t + n*y**3 + o*y**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**4 + i**2 + i - 1. Let m(v) = -5 - 3*v**4 + 2*v**4 + 5*v**4 + 2*v + 5*v**2. Let y(g) = -5*b(g) + m(g). Find the second derivative of y(n) wrt n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5818 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.7348 to 0 dps.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.61*377.974.\nAnswer: -230.56414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/22134 and -1\/739536.\nAnswer: 12572112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3866479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70563 is divided by 2590?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**2\/6 - 840731285*j\/3 - 141365818715550245\/6 = 0. What is j?\nAnswer: -168146257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z + 1. Let b(w) = w + 1. Let o be (-14 + 15)\/((-1)\/4). What is o*b(d) + a(d)?\nAnswer: 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**2 + 2. Does 29 divide d(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -2.8. Suppose 17 = -2*n - 4*x - 11, 24 = -n - 4*x. What is the third smallest value in n, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -212, -48?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - t. Let b be f(0). Which is smaller: b or 1\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8684, 17369, 26054, 34739, 43424, 52109?\n\"Answer: 8685*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 + (-348)\/54)*1\/(-2). Let k = 1 + 1. Which is the nearest to k? (a) s (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68992 is divided by 211.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 15*i**2 + 4*i + 2. Let l be j(-2). What is the highest common divisor of l and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)*-2*3 + sqrt(18))\/(sqrt(18)\/(sqrt(6)*1 - sqrt(6) - sqrt(6))))\/((sqrt(288) + sqrt(288)*-1 + sqrt(288))\/(-1*sqrt(484))).\nAnswer: -55*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 6. Let x = -88 + 84. Let u(v) = 7. Let d(s) = x*u(s) - 5*g(s). Calculate d(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(6 - 3 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*d**4 + 37*d**3 + 13339*d**2 + 34128028*d.\nAnswer: 96*d**2 + 222*d + 26678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2 = -8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/(-15) - -1)*10. Suppose 3*w + l + 835 = 6*l, 16 = -k*l. What is the units digit of -110*18\/2*38\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*t**2 - 1250 + 323 + 273 + 324 + 330.\nAnswer: -62*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3746 + 8545. List the prime factors of y.\nAnswer: 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 15*j. Let g(p) = -36 + 22 - 6*p + 9*p. Let w(r) = -r + 4. Let q(x) = -2*g(x) - 7*w(x). Calculate q(u(h)).\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(5))**2*5 + (-4 + sqrt(275) - sqrt(11)) - 1*(-2 + 1*sqrt(11))**2*6.\nAnswer: -39 + 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*a = -6*a + 4, 5*b + 4*a - 16 = 0. Calculate the remainder when 79 is divided by (-91 - -69)\/(b + -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 4. Let h(x) = -2*x - 5. Let k(y) = 1. Give j*k(u) + h(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 167422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.218? (a) 1 (b) 7 (c) -21 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3260, 4807, 2932, -4075, -17924, -40325, -72988, -117623?\nAnswer: -175940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41 - 0.5454.\nAnswer: -41.5454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4 = -z, 51*z - 53*z = 3*p + 13. Sort 39, 5, p, -2 in decreasing order.\nAnswer: 39, 5, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 599, 2533, 5747, 10235, 15991, 23009, 31283?\nAnswer: 40807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 287808073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - y + 0*y + 2223*y**3 - 1056*y**3 - 1166*y**3 - y**2 + 3 in the form i + v*y**3 + t*y**2 + s*y and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -25*a + 95. Calculate c(5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 3\/7, 2\/5, -13.\nAnswer: -13, 2\/5, 3\/7, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 132128543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 c, and 1 n when four letters picked without replacement from asctaanttaascaiaa.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*z**4 + 27*z**4 - 27*z**4 + (7*z + 13*z**2 - 7*z)*(-2*z**2 + 3 - 3).\nAnswer: -39*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 624?\nAnswer: -620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1311*v + 652*v - 5*v**3 + 659*v.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h - 23. Let d be o(5). Solve 3*m - 9 + 0 = -d*n, 0 = n + 3*m - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6*c = -2*v - 4, 5*c + 3 = -3*v. Let w be 1\/c + 40\/(-15). Let h = 15 + w. Solve -2*f + h = 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -131*z - 673. What is d(-5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1458\/1215)\/(4*(-3)\/30)*(-11)\/(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*i - 2*i - 220*i**2 + 7*i + 509 - 630*i**2 wrt i?\nAnswer: -1700*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 5*n**2 - 7*n + 2. Let j be f(-6). Suppose -2*a + 36 = -y, 2*a + 3*y = j*y + 52. Calculate the least common multiple of 12 and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*f**2 + 7*d**2*f - 135*d**2 + 3*d*f**2 + 355*f**2 wrt f.\nAnswer: -4*d**2 + 6*d + 710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 18620.\nAnswer: 74480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**7\/315 - g**6\/144 + g**4\/2 - 7*g. Let z(v) be the third derivative of j(v). What is the second derivative of z(q) wrt q?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, k: 4}. Give prob of picking 3 k.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - 2*r - r)*(-3 + 1 + 0) + 3*r - 4*r + 2*r + 2 + r - 2 + (2 - 3 - 1)*(302 - 158 + 303)*(2*r - 3*r + 2*r) to the form q*r + a and give q.\nAnswer: -888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - h**2. Let r(j) = -8*j**3 - 6*j**2. Let w = -217 + 228. Suppose 27 = 19*i - w. Determine i*r(f) - 12*c(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -16*v + 1\/2*v**2 + 1\/3*v**3 + 81. Give q(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**4\/2 - 7*v**3\/2 - 99*v**2\/2 - 297*v\/2 - 135 = 0.\nAnswer: -3, -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 3*a + 3. Let i be x(4). Let f = i + -51. Is ((-2302)\/4)\/(14\/f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-1)\/(-14)*-4. What is the biggest value in -2, n, -2\/15, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**3 - 9*c**2 - 15*c + 17. Let l(m) = 5*m**3 + 18*m**2 + 29*m - 33. Let i(q) = -4*l(q) - 7*x(q). Let u be i(10). Let v(h) = -h. Give v(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 2\/23 (b) -1\/20 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-60)\/(-60)*(3 + 2\/1). Let j(s) = 7*s**2 + 3*s + 11. Let t(q) = -4*q**2 - 2*q - 6. What is p*t(o) + 3*j(o)?\nAnswer: o**2 - o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*i + 72*i + 1911 = 231*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34\/7 + 109\/21. Suppose 2*k = 3*u - 14, 0 = 3*k - 5*u - 0*u + 23. Let z be (k\/(6\/9))\/((-66)\/(-8)). Which is the closest to -1? (a) o (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -287*l - 4216. Is p(-26) a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 2*l - l)*(1 - 1 + l) + (269*l + 1125 - 1125)*(2*l - l + 2*l).\nAnswer: 809*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 10 = -3*n - 4*l, 4*n - 5*l - 3 = 0. Suppose s - 4*s - 3 = 0. Put -5, s, n in decreasing order.\nAnswer: n, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1616 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2659947 is divided by 743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/8 - (-87)\/2. Let n(o) = -o - 7. Let j be n(-7). Let t be 106 + -1 - (j + 0). What is the greatest common factor of b and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l**2. Let o(c) = -304*c**2. Determine r(o(j)).\nAnswer: -369664*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1504900 to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 9:56 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/220275?\nAnswer: 2\/220275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/sqrt(81) - sqrt(30)\/(sqrt(96) + sqrt(6)) - (-2 + sqrt(20)\/sqrt(64)).\nAnswer: -7*sqrt(5)\/60 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*f = -116*f - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18985, -38338, -57691?\n\"Answer: -19353*a + 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -195\/2 + 100. Let v = c + -27\/10. Let q be -2*((-7)\/(-2) - 3). Is v at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o - 27. Let b be n(13). Let c be -1536*(-4 - b\/9). What is c rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 309 (b) 1\/7 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11891\/4 + 2953. Let p = -33041\/30 + 3272\/3. What is the common denominator of a and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3975848231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -743*x - 337. Does 61 divide a(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-121)\/154*-2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4372.75 * 0.5.\nAnswer: -2186.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**5\/20 + q**4\/2 - 5*q**3\/2 + 3*q**2 + 1. Determine v, given that m(v) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.72397g in kilograms?\nAnswer: 0.04272397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**4\/24 + 4*g**2. Let p(j) = -12*j. Let l(t) = -t. Let s(q) = 9*l(q) - p(q). Calculate k(s(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4498 = 710*v + 8282 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f + 5*f - 1 - 2*f**3 - 30*f**2.\nAnswer: -2*f**3 - 30*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 156 (b) 0.1 (c) 0.07 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -46, -189, -426, -757, -1182, -1701?\n\"Answer: -47*c**2 - 2*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/3, 4, -177352?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -332163*m**4 + 120374*m wrt m.\nAnswer: -3985956*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -466*t - 4. Let b be z(-5). Let a(h) = -h. Let m be a(-4). Suppose -f + m*s + b = 27322, -2*s = 2. What is f rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-2\/5)\/f*f)**(-4\/11)*f*f**(1\/3)*f**(-1\/6))**(2\/79) assuming f is positive.\nAnswer: f**(193\/13035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t - 8. Let n be u(6). Suppose -n = -m + 5*m. Suppose -4*s = 4*i + 20, 4*i + 24*s = 21*s - 16. Is m bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*b + 1 + 178*b - 131*b)*((-4 + 4 - 1)*(2*b**2 + 2*b - 2*b) + 3*b**2 - 2*b**2 + 3*b**2).\nAnswer: -88*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2356587 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1860.5 - 1861. Let n = 1.9 + -0.9. Which is the closest to n? (a) y (b) -5 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 205*f**2 + 199*f + 1025. What is s(204)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 45 + 0*a**3 + 15*a - a**2 - 3*a**2 - a**3. Suppose 75*l + 555 - 105 = 0. Let t be u(l). What is t rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 10:20 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 11:21 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(637) - (0 + -4*sqrt(637)) - sqrt(637)) + (sqrt(637) - (sqrt(637) + 3 - sqrt(637))) + -1.\nAnswer: -1 + 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -164 * 4.\nAnswer: -656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - j + 42, 0*j - 38 = 2*s - 2*j. Let d = -24 - s. Put d, 5, 0.5 in increasing order.\nAnswer: d, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1389*c = 5*g + 1385*c - 25, -g - c = -14 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 327?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2173*i + 2200*i + 27 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*sqrt(1216) + sqrt(1216) + sqrt(1216) + 3.\nAnswer: 2 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 19. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3270708 divided by 6?\nAnswer: -545118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*h - 1436 = 378*h + 5648 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 72.9? (a) -3 (b) -1 (c) -10 (d) -3\/5 (e) 2\/87\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-40))\/(90\/25)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17603 - 14060. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 254267\/23 - 11055. Let o = -4 + 3.9. What is the nearest to 1 in z, -0.8, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i = -9. Let n = 308 + -306. Suppose -j + 4 = r, j = -j + r - 4. Which is the nearest to -1? (a) i (b) j (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130*5\/15*1\/(13*24\/(-468))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 50767.23 to the nearest one thousand.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 6*l**2 + 4*l + 30. Let t be h(7). Suppose t*w = -5*w + 5684. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2638\/6 - (-6)\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96114.33g in nanograms?\nAnswer: 96114330000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/2557 or -6364?\nAnswer: -2\/2557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11752022 to the nearest integer?\nAnswer: 3428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*p**2 - 195*p**2 + 6*p**2.\nAnswer: -268*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**2 - 2*u + 1. Let w be c(1). Let b = 0 - -1. Let z be b\/2 - (-23)\/2. Solve -2 = w*m - z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 12:01 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*m + 4*n + 695, 2*m + n - 290 = 0. Suppose 4*u = -2*w + 3*u + 137, -m = -2*w + u. Suppose w = -5*o + 1605. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-2))\/(-2)*80\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -9*d**3 - 8*d**2 - 6*d - 22. Let r be a(-9). Let j be (164\/r)\/(-2*(-2)\/23810). Let n = -564033\/3422 + j. Find the common denominator of -37\/12 and n.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by -1.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.12 bigger than -13\/88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + 38?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f - 1481 - 4 = -18*f for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/5)\/(7\/35). Let s be ((-36)\/(-24))\/(6\/16). Is n at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000115641507 to 7 decimal places.\nAnswer: 0.0000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8440 divided by 10.\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19152\/(-8208)*(-360)\/(-28)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -275.282602 rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -5, 3, 5 in descending order.\nAnswer: 34, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1837625 and 1837625.\nAnswer: 1837625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a - 1. Let b be g(-4). Let i = -1 - b. Let x be i\/(-8) - (-2)\/4. Let r(y) = y. What is r(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 + (-102949)\/(-7) + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 + -476\/9. Let t = -2 - 12. Let w be (t - -15)\/(7\/3). Which is the third smallest value? (a) w (b) 0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 9. What is the tens digit of (63\/f)\/(2\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(12) - sqrt(300)))**2*2.\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.05, 3\/4, 0.01?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9*x**4 + 8*x**3 - 8*x - 38. Let m(f) = -6*f**4 - 5*f**3 + 5*f + 25. Let v(a) = 5*c(a) + 8*m(a). Differentiate v(z) wrt z.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81.43 + 81. Let q = -0.03 - u. Let y = -1 - -1. What is the closest to 1\/4 in 0.2, y, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 422335.\nAnswer: 84467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c1cc3 (base 16) to base 7.\nAnswer: -6514162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1468a6 (base 13) to base 9.\nAnswer: -842135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/3409 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 159 + 163. Factor 0*f**2 + 0 + 0*f**3 - 3\/2*f**a + 0*f.\nAnswer: -3*f**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 4, 0.\nAnswer: 0, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22949647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 42 = -2*f. Suppose -f*m = 0, 3*d - 1499 = -3*m - 260. What is the remainder when d is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 13*b - 356. What is the remainder when 59 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 k when two letters picked without replacement from zhkcb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -850.6 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 310, -25, -523, -5 in descending order.\nAnswer: 310, 2, -4, -5, -25, -523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17673 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20577634 is divided by 1870693?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-3))**(3\/17) assuming r is positive.\nAnswer: r**(-3\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -0.3, -13230 in increasing order.\nAnswer: -13230, -0.3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c + 21. Let o be r(9). Suppose 2*x - 412 - 142 = -o*t, 0 = -2*t. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 6823b18?\nAnswer: -6823b14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 6*o - 9. Let y be a(-7). Let c be (y\/(-12))\/(4\/6). Is (10*(-5)\/c)\/(-1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.6 + -5. Let t = b - -0.4. Is -2 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u - 107*u = 1586 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -7.2. Let j = v - 12. Let y be ((-3)\/27)\/((-10)\/(-12)). Sort y, -2\/9, j in decreasing order.\nAnswer: y, -2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 19 - (459 - 439)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3 = o + o, -3 = w. Let a(j) = j + 0*j + o + 1. List the prime factors of a(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46216877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 9:09 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 19 = 17. Let p = 23 - b. Let d = p + 18. Put d, 1, -5 in descending order.\nAnswer: d, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 12*o - 1)*(-o**2 + o**2 - 2*o**2) + (o + 4*o - 6*o)*(-3*o**2 + 3*o**2 + o**2) - 6*o**3 + o**3 + 3*o**3.\nAnswer: -27*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 - -0.2. Let g = -20 - -19. Which is the nearest to g? (a) -1\/7 (b) 5\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32 or 30?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/5 in -46, 0.06, -16?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 16*i**2 + 7 + 0.\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -538*h**3\/3 + 7*h**2\/2 + 35*h - 936. Find the second derivative of d(g) wrt g.\nAnswer: -1076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 - 435*o**2 + 9675*o - 9245.\nAnswer: 5*(o - 43)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f + 2. Let k(a) be the second derivative of 11\/2*a**2 - a + 5\/3*a**3 + 0. Let v(z) = -11*j(z) + 2*k(z). Let s(i) = 5*i**2. Determine s(v(l)).\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 87807?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**3\/3 + 19*q**2\/2 + 14*q. Let h be r(8). What is the third derivative of 0*t**3 - 3*t**3 - 10*t**2 + t**h wrt t?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r - 3*l = 16*r + 32, -2*r - 3*l = 2. What is the third derivative of 23*v**4 + 65*v**3 - 51*v**r - 191*v**2 + 26*v**4 + 52*v**5 - 65*v**3 wrt v?\nAnswer: 60*v**2 + 1176*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y + 10. Determine r(9).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3515741?\nAnswer: 19, 31, 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffirrfrbfffrinr. Give prob of picking 2 f and 1 r.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 170 + -72. Let x be 1\/(-1) - (3 + 2). Is 3\/(-1)*l\/x a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -t + 153, -3*w + 3*t + 60 = 213. Let g = 47 + w. Let l = g + 6. Solve 0 = -2*h - 0 - l for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5657737536 to the nearest 1000000.\nAnswer: -5658000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*b - 12, 2*b - n = 11 - 3. Let o = b + -8. Let m(a) = 3 + 23*a**2 - 5*a**2 + a**3 + 5*a - 13*a**2. Determine m(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.703 + 0.033. Let g = -2.37 - j. Sort g, -4\/5, -19 in decreasing order.\nAnswer: g, -4\/5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -4.8. Suppose 18 = -2*h + 5*s, -4*h + 363*s - 16 = 358*s. What is the fourth biggest value in h, -2, d, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6776195 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 50 - 22 - 21 - 4*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/45*(0 - -39) + 4. Let x be 6\/4*(-6)\/z. Solve -4 = 5*v + x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 8. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -700909?\nAnswer: 700905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.169?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1504022?\nAnswer: 2, 13, 57847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 199 - 139. Calculate the greatest common factor of i and 240.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*n - 39*n**2 + 41*n**2 - 347*n - 100*n in the form t + d*n**2 + z*n and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4163 + 4158. Let z = 3 + -5. Put z, a, -6 in increasing order.\nAnswer: -6, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(153) + (sqrt(153) + (-2*sqrt(153) + sqrt(153) - sqrt(153)))*-5 + sqrt(153))\/(-1*sqrt(900)) - 6*(-3*sqrt(68)\/sqrt(4) + 4))**2.\nAnswer: -4152*sqrt(17)\/5 + 565993\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 + -1.96. Let d = -146 + 146.4. Which is the closest to n? (a) -3 (b) d (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + ((sqrt(588) + sqrt(588) + -3*sqrt(588))\/sqrt(12))\/(sqrt(21)\/sqrt(75) + sqrt(7))) + -4.\nAnswer: -5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1203*z**4 - 1733*z**2 wrt z.\nAnswer: -28872*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 2*x**2 - 2*x**2)*(x - 2*x + 2*x) + (-x + 3*x + x)*(51 - 550*x - 2*x**2 + 1053*x - 507*x).\nAnswer: -8*x**3 - 12*x**2 + 153*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6\/1487, -3 in decreasing order.\nAnswer: 6\/1487, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -7\/20 (b) 0.5 (c) -1 (d) 11.39 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + (-75)\/81)*3. Let v = 1 + -1.4. Which is the closest to 1? (a) -4 (b) n (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(3\/10)*t)\/(t\/t**10))\/(t**(-17)\/t*t**(1\/3)))**(-32) assuming t is positive.\nAnswer: t**(-13904\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 61*m - 1. Let a = -416 + 422. What is the units digit of u(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 605, 924, 1455, 2198, 3153?\nAnswer: 4320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/20 and -91\/3492?\nAnswer: 17460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 3*b - 1. Let y be c(2). Solve 3 = 5*j + y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 - 1 - (-174 + 170)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + -2)*-4.\nAnswer: -8*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/((-15)\/(-3)))\/(8\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 6:30 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/51)\/(x**(2\/75)\/x)*(x\/(x\/x**(5\/2)))**35 assuming x is positive.\nAnswer: x**(225707\/2550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 3381322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2102*y + 2104*y + g, y + 3*g - 21 = 0. Put -501, y, 5, -6 in decreasing order.\nAnswer: 5, y, -6, -501","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*g + 18*g - 191*g to the form f*g + l and give f.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 4. Let w be c(-3). Put -5, w, 5 in descending order.\nAnswer: 5, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 + 2.4. Let v(h) = 3*h**3 - 33*h**2 + 10*h - 108. Let g be v(11). Put r, g, 0.2, 4 in increasing order.\nAnswer: 0.2, g, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3 - 1)*(-30*d - 30*d + 21*d) + (-4 - 4 + 1)*(-d + d + d) + 0*d - d + 3*d to the form h + g*d and give g.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-396)\/56)\/(((-4)\/16)\/1)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.2 in -16, -1.9, -0.01?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000001001010000000 (base 2) in base 5?\nAnswer: 32020010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12864817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 4014431040?\nAnswer: 4014431040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24873 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*v - 5 - 15*v**3 - 13*v - 10*v + 89*v**3 + 35*v to the form f + s*v**2 + u*v**3 + m*v and give u.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 24 = -4*n - 0*p, -2*p = 3*n + 13. Let s = 0 - n. Suppose f + 2*u = 3, 2*f - s = 2*u + 5. Solve 0 = 3*i + g - 2 + 11, f*i + 5*g = 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -3\/145 in increasing order.\nAnswer: -3\/145, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38a + -7?\nAnswer: -394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*n + 6 = -4, 2*z = -n + 2. Solve z = 4*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 113.864 and 130.84?\nAnswer: 16.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) -0.021 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 343*c + 50941. Let o(u) = -103*u - 16981. Calculate 10*o(s) + 3*v(s).\nAnswer: -s - 16987","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10568527.\nAnswer: 10568527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1319 - -1319.4. Let y = -510 - -508. Which is the nearest to 0.2? (a) 2 (b) y (c) o (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 87688666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**2 - 17561956 + 17561956.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 180*s**2 + 43*s + 20. Calculate p(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4132.0044ms?\nAnswer: 0.001147779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/124 and -9\/1364.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/55952481?\nAnswer: 2\/55952481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/10355 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49191938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**4\/24 + p**3\/6 + 8*p**2. Let x(y) = y**3 + 5*y**2 - 8*y - 9. Let d be x(-6). Let o(h) = -h + 2. Give d*o(f) - 4*w(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u - 14. Let a be f(-6). Let n(z) = -z**3 + 10*z**2 + 2*z - 8. Does 12 divide n(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52174462.\nAnswer: 2, 17, 193, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 23 + 3*j**3)*(13 + 6 + 24).\nAnswer: 129*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1010983?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0018 and 0.029.\nAnswer: 0.0000522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**2\/b)\/(b\/b**6))\/(b**(4\/3)\/((b\/(b*b**2))\/b)) assuming b is positive.\nAnswer: b**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0501 and -3.83.\nAnswer: -0.191883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 506125546?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112)*1*5)\/sqrt(4))\/(4*3*sqrt(16)\/sqrt(4)))**2.\nAnswer: 175\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-385)\/308)\/((-25)\/3660))\/3?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/211602785?\nAnswer: 2\/211602785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*w - 0. Suppose 0 = -m + w*m - 35. Suppose -36 = -3*l + 3*x, 3*l - 4*x - 42 = -m*x. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4. Let l(r) = -2*r + 3. Let g(x) = 5*a(x) - 8*l(x). Let s(v) = 2*v**2. What is s(g(p))?\nAnswer: 512*p**2 - 256*p + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, f: 3}. What is prob of picking 2 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5, -14, -35, -74, -137, -230, -359?\n\"Answer: -k**3 - 2*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**2. Let d(n) be the first derivative of -41*n**3\/3 - 82. Determine d(f(b)).\nAnswer: -656*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 37\/220710 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 31. Let k be r(14). Suppose -k = -s - 3*m + 30, -s = 5*m - 83. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*69.\nAnswer: -2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**21)**(20\/11)*h**25*h*h\/h**(-30))**(-42) assuming h is positive.\nAnswer: h**(-43974\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229 + 229 - 8*i**2.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-27768 + 27771)\/(0 - 1 - (-28)\/1))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1134700 is divided by 809?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1*((-6664)\/272 + 85)?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (-7)\/2)*36. Suppose 2*y - q = -4*y. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2469 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*p - 1, 0 = p + 5*k + 2 + 2. Let r be p\/7 + (-44)\/14. Let o(c) = c + 7. Let j be o(r). Which is greater: j or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 10*q + 1. Let w be r(9). Suppose -4*n = -f - 0*f + 25, 0 = -3*n - f - w. Let p(t) = -3*t - 6. Calculate p(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1458 and 38664?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2638.42 millennia to months.\nAnswer: 31661040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 0*m + 1\/24*m**4 - 1\/60*m**5 + 0*m**3 - 19*m**2 + 0. Determine v, given that s(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 636366878 and -9.\nAnswer: 636366869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -767300 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2 + 76*d + 370*d - 1 + 110*d. Is u(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4505*f**2 + 424*f - 424. Let o be 18\/(-14) - 22\/((-5852)\/113126). Let q(i) = -53*i**2 + 5*i - 5. Calculate o*q(t) - 5*d(t).\nAnswer: 53*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.831901 to 2 decimal places.\nAnswer: 0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x**5 - 519*x**4 + 15857*x**3 - 94233*x**2 - 68184*x - 11664 = 0. Calculate x.\nAnswer: -81, -1\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from zzzznnzznnnzzz.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(1\/2) + -2. Let o(a) = a**3 + 6*a**2 + 3*a + 2. Let y be o(w). Let u = y - 16. Solve k - 2 + u = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, 14005 in descending order.\nAnswer: 14005, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 t when two letters picked without replacement from tccutuutccct.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.69 + 5.69. Which is the nearest to j? (a) -2\/5 (b) -5\/2 (c) 1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 13 = -2*f + 9*b, -11 = -f + 4*b. Let p(h) = 9*h**3 - h - 6. Let m(k) = -k**3 + 1. Give f*p(t) - 6*m(t).\nAnswer: -3*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -294 + 295. Which is the closest to h? (a) 1\/2 (b) 3 (c) 2 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 3:19 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2194, -2\/11, -2\/5, -10, 2 in descending order.\nAnswer: 2, -2\/11, -2\/5, -2, -10, -2194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 127? (a) -4\/103 (b) 2 (c) 2.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 3 - 2*r + 5 - 12.\nAnswer: -2*r - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -25.12, -2, -3, 6, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z. Let y be u(-2). Suppose 118 = y*i + 3*x, 0*x + 4*x = 8. Suppose -6*t = -10*t + i. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -25, -2, 10, -491 in decreasing order.\nAnswer: 37, 10, -2, -25, -491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 50717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 (base 16) in base 5?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 39, 281, 923, 2163, 4199, 7229, 11451?\n\"Answer: 33*d**3 + 2*d**2 + 5*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -371580 divided by 3378.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 571987378 to the nearest integer?\nAnswer: 23916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 0.1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**0*w)**(-1)\/(w**(-2\/9)*w*w\/w**(1\/4)))\/((w*w**(-3)*w*w**(-2))\/((w*w*w*w**(-1\/4))\/w)**(-2\/3)) assuming w is positive.\nAnswer: w**(-61\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3528 (base 9) to base 2\nAnswer: -101000111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**4 - 188*u**3 + 1179*u**2 + 2918*u + 1552 = 0?\nAnswer: -194, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(-2 - 1 + 1)*(5*v - 5*v - 3*v).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - o**2 - o - 17. Let j = 511 + -510. Suppose 18 = 3*p - p. Let b be (-9 + p)*j\/2. Determine v(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11609928.\nAnswer: 2, 3, 11, 107, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f - 2 + 2)*(1 - 1 - 2) - 5495*f + 2452*f - 428*f to h*f + q and give h.\nAnswer: -3475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17808*v - 17983*v + 6475 = 0 for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-124)\/651*6\/(-8).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -24 + 4. Let z(g) = -11*g**2 - 27*g + 8. Let l(h) = -5*h**2 - 13*h + 4. Let b(s) = -13*l(s) + 6*z(s). Give b(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 5*o + 9. Let g = -116 - -105. Let d(b) = b**3 + 12*b**2 + 2*b + 20. Let v be d(g). Let s = 126 - v. Determine m(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -55, 2\/15, -2\/9 in increasing order.\nAnswer: -55, -5, -2\/9, 2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 0.0973, -0.09?\nAnswer: 0.0973","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 93*a**2 + 4*a - 67. Is q(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1273 - 298 = -l. List the prime factors of l.\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 4448 = -16*q. Suppose 17*t = -46 + q. Solve -t = 4*b - 22 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2 - 0. Let k(h) = 2 - m + 24*h - 6*h. Let l be k(-5). Round l to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -21, -14, 14, 5, -1.\nAnswer: -21, -14, -3, -1, 0, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -93987*a**2 + 11090466*a - 1\/2*a**4 - 981506241\/2 + 354*a**3.\nAnswer: -(a - 177)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) -0.2 (c) 494\/7 (d) 2\/11 (e) 5 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314743 is divided by 28278?\nAnswer: 3685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 13 - (-1 - -1)) + (-44 - -23).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3084?\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1481 + 879. Let u = 612 + q. Solve -2*j + 8 = u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*sqrt(363) - sqrt(363) - sqrt(363))**2 + -1 + 1.\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -205861 (base 9) to base 6.\nAnswer: -2342514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -5. Suppose -2*d - w*d = j + 32, 0 = 2*d + 4*j + 30. Let l be (-2)\/(-20) + 7\/(-14). Which is smaller: d or l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 358*j - 1619 - 887. Solve 5*f = 3*u + 19, 0 = -j*u + 10*u - 6 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2593 divided by -151269?\nAnswer: -2593\/151269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from eyyeeeyyeyeyeyyyeee?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/4, -6, -3\/4, 5, 34.1, -52?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 194\/(-4)*(6\/3 - 4). Suppose -2*s - 2*a = -162, j = s + 4*a + 10. Calculate the remainder when s is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -106 and 1989.6.\nAnswer: 1883.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12*9\/(-420))\/(654\/(-67580)))\/((-9)\/(-42)).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 3*y**2 + 8*y - 8. Let m be a(-7). Let f = m - -161. Let n = f + 893\/9. What is the second smallest value in 0, 2\/17, n?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -9. Let s be ((-10)\/y)\/((-5)\/15). Find the common denominator of s\/10*134\/(-4) and -74\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27216 - 27215.8. Let j = 7 + -6.85. Is j smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1431 - -1430.8553. What is x rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f + 2*f - 4*f + (3 + 1 - 2)*(-2*f + 2*f + 2*f) + (-1 + 6 - 10)*(2*f - 1 + 1).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3524 - -3500. What is the fourth biggest value in 4\/7, 4, m, 1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -10*f**2 - 49*f + 154. Give m(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 34*n**2 - 24*n + 124. Let m be h(5). Factor x**3 - 8*x**2 - 854 + m.\nAnswer: x**2*(x - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, t: 4}. What is prob of sequence tbtb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 + -65. Solve 5 + 3 = v*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 876 a factor of 40353590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4*o**4 + 22*o**3 - o**2 - 2 + 8*o**4 + o**2 as s*o**4 + u*o**2 + d*o**3 + m*o + x and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -11. Calculate the remainder when 17 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q + 1152*g - 1154*g = 4*q - 14, 9*q + 3*g = -12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 335 divided by -30.\nAnswer: -67\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j. Let b be q(-1). Let p(y) = -y**3 - 18*y**2 - 17*y + 7. Let g be p(-17). Solve -g*u - 15 = -b*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*k + 27. Let a = k + -19. Suppose a*x - 4*x = 96. What is the greatest common factor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6876+715\nAnswer: -6161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 19 - 30 + 0*w)*(545 + 30*w - 545).\nAnswer: 60*w**2 - 330*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -161 (c) -4\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.15 - 0.15. What is the nearest to -1\/2 in g, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/15 - 56\/10. Let w be (-2 - -2)*(-3)\/q. Find m such that -2*m + 2*m**5 + w*m**3 - 4*m**2 + 0*m**3 + 4*m**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -1240.8238\nAnswer: -6204.119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32286675?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4336 + -4336.5. Sort -1.2, t, 1 in decreasing order.\nAnswer: 1, t, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: 50 + (-166 - -161) + 9 + (-4 - -9) + -3\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + sqrt(121)*2 - sqrt(121))*6 + sqrt(121))\/(sqrt(66)\/(sqrt(6)*-2)).\nAnswer: -26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 h when four letters picked without replacement from hzhcohzznhhwh.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1071.5 from -9842983.\nAnswer: -9844054.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 1248.\nAnswer: 1\/416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a century in years?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (13 - 5)) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7529\/88 - -882\/11. Which is smaller: -6 or s?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/33 + 180\/22. Suppose x - d + 1 = 0. Let w = -1 + 2. What is the greatest common factor of x and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13*-2*8\/(-52). Let v(p) be the second derivative of -3*p + 0*p**3 - 11\/12*p**z + 5*p**2 + 0. What is the first derivative of v(w) wrt w?\nAnswer: -22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**4 - 2*v**2 - v + 1. Let r(l) = 3*l**2 + 10 - l - 9 - 2*l**2. Let n(f) = q(f) - r(f). Find the third derivative of n(y) wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106207579565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2014 and 4175402.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, u: 3, e: 1, l: 1}. What is prob of picking 1 e and 3 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-108)\/8*2151454*-1. Suppose 4*p - s = -644629. Round p to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 429, 14485, 52661, 127017, 249613?\n\"Answer: 2010*j**3 - 14*j - 1567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 10*g**2 - 38*g + 11. Let r be b(13). Let a be (-34)\/(-10) + 2\/(-5). Suppose 0 = -3*k - a*k + r. Solve j - 5*j = -k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*v + 86*v - 476 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*d**3 + 1 + (3 - 3 + d**2)*(d - 3*d + 4*d) + 2*d**3 + 2*d**3 - 2*d**3 + d**3 + 2*d**3 + 6*d**3 + (3*d + 4*d - 5*d)*(4*d**2 - 2*d**2 - 3*d**2).\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.138 - 0.432. What is r rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzngrtagggggrzgaa. What is prob of picking 1 g, 1 r, and 1 a?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/(5\/(-40)). Suppose 0 = -70*q + i*q + 50622. Calculate the remainder when q is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 93*t**2 + 1528*t + 163. Calculate f(-19).\nAnswer: -2155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = b - 824, 2*y - 62 + 382 = -2*b. Let k = y + 1525. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n - 6. Let c = -13 - -9. Sort c, 0.3, n in descending order.\nAnswer: 0.3, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 3*r**2 - r + 1. Calculate b(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2244849 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -645 by 9607.\nAnswer: -645\/9607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 18*t**2 + 10*t + 8. Let k be d(-10). Let b(h) = -h**3 + 25*h**2 + 118*h + 1. Let v be b(29). Calculate the highest common divisor of v and k.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbww when four letters picked without replacement from wwwwbfffwwfww?\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 5*a**2 - 6*a + 3. Let y = -57 + 63. Give c(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -2, 4, 147, 1\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 + -155 + 214 - (-27 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3499, -0.06 in increasing order.\nAnswer: -0.06, 0.5, 3499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644 is divided by 81.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -aa + 1a9?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17798178 - 27231222479\/1530. Let f = -31\/170 - n. Find the common denominator of f and 2\/(-22) + (-41305)\/4840.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.98 + 0.02. Let z = 232 - 231.5. What is the nearest to -2\/13 in -3, p, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.019, -1\/2, 10 in descending order.\nAnswer: 10, 2.019, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -14983.1.\nAnswer: -14983.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*q - 4*x - 92 = 0, -4*x - 132 = 3*q. Let i be (33 + -3)*(q\/(-12) + -3). Solve -5*f + i = -5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8170 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3\/j)**(-22\/5)*j**(-1\/4)\/(j*j**10) assuming j is positive.\nAnswer: j**(-401\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 1. Let b(k) = 11*k**2 + 36*k + 4. Let w(s) = -b(s) + 3*p(s). Let d(f) = -16*f**2 - 50*f - 10. Let g(h) = 5*d(h) - 8*w(h). Factor g(l).\nAnswer: 2*(l + 1)*(4*l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*p**3 + 11864*p**2 - 15836*p + 3960 = 0. Calculate p.\nAnswer: -990, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -19*m. Let p(x) be the first derivative of -x**2 + 2. Determine t(p(s)).\nAnswer: 38*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + sqrt(320) + (sqrt(320) - ((4 + sqrt(320) + 0 - sqrt(320)) + sqrt(320))) - -1*(sqrt(320)*-1 - sqrt(320)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 183520 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*l - 21*l + 56 = 32*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d = 1527 - 1687. Solve 0 = -b - 2*v - d, -35*v - 9 = -32*v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2505686452 to the nearest integer?\nAnswer: 1358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 7\/4, 34?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2. Let p(j) = -171*j**2. Calculate p(q(t)).\nAnswer: -171*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 569 + -567. Find the second derivative of 23*p**2 - 23*p**w - 12*p - 66*p**4 - 105*p**4 - 110*p wrt p.\nAnswer: -2052*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -132*g**4 - 58*g wrt g.\nAnswer: -1584*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 153040?\nAnswer: -153043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8179529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06101 + -740.33899. What is c rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 13*u**2 + 37*u - 10. Let y be l(8). Suppose -y = -2*g - 984. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 640173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 132*14\/672*4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2054*v**2 + 39055*v - 51. Calculate w(19).\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 627*w = 621*w + 54 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -267 - -801. Let h = m + -31508\/59. Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1769 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 19 - 370*s - 54*s.\nAnswer: -424*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3511977739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-3))\/(4\/6). Let h(l) = -l**2 + l**2 + 2*l**k. Let s(p) = 2908 + 4*p - 2908 - 3*p. Determine s(h(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33593, -134278, -302051, -536912, -838861, -1207898, -1644023?\nAnswer: -2147236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 221232 - -2?\nAnswer: 221300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 146? (a) -1 (b) -0.0219 (c) -0.5 (d) -3 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2047756284202979\/36179 + 735812567931\/13. Let b = y + -278956. Let n = b + 12457\/16698. Find the common denominator of -71\/22 and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 43*f**3 + 20*f**3 + 18 - 139*f**2 + 29*f**3 + 45*f**4 - 41*f**3 - 80*f**2 + 105*f = 0.\nAnswer: -3, -2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 times -814\nAnswer: 8954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1593, -1559, -1487, -1359, -1157, -863, -459, 73?\n\"Answer: 3*l**3 + l**2 + 10*l - 1607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1809\/1444 - -1\/361. Is 1 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -3.9. Let k = -0.4 + r. Let s = 3.9999996 + k. Round s to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 6 - (-11 - -20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120821 is divided by 227.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**2\/2 + 26*s - 22. Does 19 divide w(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((16\/14)\/4). Suppose 0 = 4*k - 4*o + b - 27, 23 = 5*k - 4*o. Let a(f) = 2*f**2 + 7*f**2 - k*f**2 - 5*f + 0*f**3 - f**3 + 3. What is a(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000276158 to 5 decimal places.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 4264349?\nAnswer: 4264348.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: -11*325\nAnswer: -3575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 8. Let t be 4\/(-6) - (-4)\/6. Which is the closest to t? (a) k (b) 3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 - 5 - 7*x**2 + 14*x**2 + 67*x - 67*x.\nAnswer: x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 1. Let s(w) = -10*w + 0 - 3*w**3 - 2 + j*w**2 - 3 + 4*w**3. Is s(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120910 - 241805 + 120895 - 3*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 9. Suppose -5*r + r + 20 = 0. What is the third biggest value in r, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 16 = -4*s. Let t be 2 + s + (1 - -1). Solve k - t = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 7*d + 5. Let i be q(-5). Let t(a) = -18*a**3 - 5*a**2 + 0*a + 17*a**3 - 2 - a. Let m be t(i). Solve -5*k = 3*o + 22, m*o - 9 - 9 = 3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2827?\nAnswer: 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42 and 0.4?\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 n when four letters picked without replacement from {l: 4, n: 6}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001225157 rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -35236000 to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -540010 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by (63\/(-6) - -3 - 6 - -4)*-2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u = 94. Let y = -24 + u. Is 20 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -22.3, -18.3, 0 in increasing order.\nAnswer: -22.3, -18.3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2523887 rounded to two dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/5 + 2237*l\/5 - 2238\/5.\nAnswer: (l - 1)*(l + 2238)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 43\/25, -0.1, -2\/3, -12\/7, 0 in ascending order.\nAnswer: -12\/7, -2\/3, -0.1, 0, 43\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 906.6 + -907. What is the biggest value in -2, -5, -6, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x - 3. Let w be h(8). Let y be (w - 1)*(-5 - -3). Let k be (-12)\/y*8\/6. Which is the nearest to k? (a) 4 (b) -5\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 190044 and 106.887.\nAnswer: 190150.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -27, -20, -0.1, 1319?\nAnswer: 1319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.754447 to three decimal places.\nAnswer: -2.754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 105149 = 1429511. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**3 + 71229*m**2 + 2*m + 628915 wrt m?\nAnswer: 12*m + 142458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*d**2 + 27*d**2 + 30*d**2 - 74*d**2.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/(-6)*(-2 - 16\/(-20)). Suppose d*t = 5*o - 86, -2*t + 13 = 2*o - 7. Put o, 3, -5, 1 in decreasing order.\nAnswer: o, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*b - 53*b + 1633229. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 46\/(-30) - -6*8\/240. What is the nearest to 1\/12 in 3, 2\/17, q?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**2 - 10*i + 20. What is the hundreds digit of g(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3183.5 times -0.05\nAnswer: -159.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 168*b**5 - b**4 - 9*b**3 - b**2 + b + 69 wrt b?\nAnswer: 10080*b**2 - 24*b - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69337 - 32830. What are the prime factors of t?\nAnswer: 3, 43, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*y + w - 25, -40 = -5*y - 5*w. Solve -12*t - y*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2051*r**2 - 31*r + 3.\nAnswer: 4102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*d - 34*d - 13*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - (22 - (58 - 13))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4991205?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 1935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvkk when four letters picked without replacement from fbfvfbkbbbkbbbkbbkb.\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 r, and 1 v when three letters picked without replacement from ivvvivvri?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*f - 2 - 4*f + 12*f + 6*f + (1 - f - 1)*(1 + 0 - 5) - 2*f + 0*f + f in the form d*f + s and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 14. Let y = -4 - b. Solve -y*r - 40 = r + 5*j, -4*j = -2*r + 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71.2 - 67. Let s = d + -7.2. Suppose 2*k + 2*o - 1 = 5, 0 = 4*k - 5*o + 15. Which is the nearest to k? (a) s (b) -1\/8 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 - 343\/5. What is the nearest to -2\/5 in 3, m, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 5*a**2 - a - 3. Let w be d(-5). Suppose -w - 162 = -4*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 312578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*h + 16620 = -661*h - 288*h for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1582\/9 - 16\/(-72). Suppose -16*q = -15*q - p. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/2)\/(6\/16). Let i(k) = 3*k - 3. Suppose 3*q = 5*g - q - 18, -q - 2 = 0. Let o be i(g). Solve -17 - u = v - 5*d, o*d - 11 = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 185633 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 3*v - 4*v)*(-5*v**4 - v**4 + 2*v**4).\nAnswer: 8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, 33 in descending order.\nAnswer: 33, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 3*s + 3. Suppose -2*b + 16*b + 28 = 0. Determine t(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -23. Let q = z + -10. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1505 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**2 - z - 6. Let y be j(5). What are the prime factors of -2 - y\/4*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 + 21*s**3 - 4 - 47*s**3 + 24*s**3 to z*s**2 + p*s**3 + c + d*s and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -409, -832, -1251, -1660, -2053, -2424, -2767?\n\"Answer: x**3 - 4*x**2 - 418*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/3 - 12504772*o - 58638496039494 = 0. What is o?\nAnswer: -9378579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 106000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/3 (b) 2 (c) -3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(90)\/sqrt(5))\/sqrt(6))**2 + 0 - ((sqrt(147) - sqrt(147)*-2) + sqrt(147) + sqrt(147) + (sqrt(147) - (-4 + sqrt(147) - sqrt(147))))**2.\nAnswer: -5304 - 336*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2084 + -30?\nAnswer: -2104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 5*f = 0, -159*n - 40 = -162*n - 5*f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 337479 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -134492.\nAnswer: -3\/33623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38175 - -38174.950002. Let x = q + 0.05. What is x rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5462644 times 2\nAnswer: 10925288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 3 + 5 + 2)*(-1 + 1 - 3).\nAnswer: 3*y - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 59700 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1819532 - -40.8192068. Let g = -399 - -440. Let m = g - o. Round m to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/12)\/(30*6\/72).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g + 136. Let f be m(9). Suppose -5*u - 5*o + 0*o = -580, -u + 4*o = -f. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**2. Let r(j) = j + 3. Let h(q) = -4*q + 21. Let d(v) = 2*h(v) - 14*r(v). Calculate d(o(t)).\nAnswer: -132*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1485241 divided by -2?\nAnswer: 1485241\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/5 + 872*n**3 + 117234*n**2\/5 + 1053648*n\/5 + 3158757\/5.\nAnswer: (n + 9)**3*(n + 4333)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 6 - 1076*v**3 - 1055*v**3 + 3 - 1025*v**3 + 3173*v**3.\nAnswer: 17*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 3*u - 84, 3*d = -0*u - 3*u - 84. Let v be -3 + (d\/20)\/((-5)\/25). Let l be -4 + (-33)\/(-9) + 1 + -2. Put 3, l, v in decreasing order.\nAnswer: v, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*i + 82, -4*c = c - 5*i - 435. Calculate the remainder when c is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 873\/2 - 448. Calculate the common denominator of a and 27\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 + 4*h - 10. Let u be p(-5). Let o = 5 - -19. Let w = o - u. Solve a = 3*i + 13, -w*a = a - 5*i - 15 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -39*x - 1669. Suppose 58 + 32 = 3*m. Calculate the remainder when m is divided by q(-43).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/6*0 + 0. Suppose -5*o + 4*o + 2 = i. Suppose 4*p = -5*h + 183, -7*p + 185 = 5*h - o*p. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*l + 21*l - 20. Suppose -2*h + 4*n = -14 - 8, -l*n = -4*h + 44. Calculate the greatest common factor of 22 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -1 (b) -129 (c) -4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 565 divided by -113?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 56755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 y when two letters picked without replacement from jjjy?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -5, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/4 = -1704859276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 2*k + 4. What is the tens digit of m(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 20*o**2 + 41*o + 70. Let p be ((-264)\/(-30))\/(-8 + (-294)\/(-35)). Determine z(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 350.52350877348 and 1.\nAnswer: 351.52350877348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361708 is divided by 360720.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-66) + -6*38\/44.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 479\/637 + -39\/49. Is p less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452280936.\nAnswer: 2, 3, 257, 73327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssgs when four letters picked without replacement from {s: 8, g: 3}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 8*m - 10. Let q be d(-5). Suppose 1\/4*b**5 + 0 + q*b - 1\/4*b**2 + 1\/4*b**4 - 1\/4*b**3 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/(-232)*(-4)\/(-5)*-3.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 - (-63 + 55)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.363 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -8*d**5\/3 + 123*d**4 - 1751*d**3 + 23374*d**2\/3 - 13120*d + 7200 = 0.\nAnswer: 9\/8, 2, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-9 - (-182)\/21)*-1287 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/14)*(i*(i**(-1\/13)\/i)\/i)\/i assuming i is positive.\nAnswer: i**(-339\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1.3, -1\/14 in descending order.\nAnswer: 5, 1.3, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 + 2*k**2 + 2*k + 4. What is p(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 2*b - 3. Let g be q(-3). Suppose -3*x = -0*x - g. Is 3 a factor of (-6 + 2)\/(x\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**2 - 5*w - 4. Let d(c) = -2*c**2 + 2*c + 2. Let m = 68 + -116. Let r = -34 - m. Let i = 23 - r. Determine i*d(u) + 4*s(u).\nAnswer: 2*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 6*b + 27, -16876*b = -4*j - 16873*b for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2402.7756 rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 3*r + 2. Let h be f(2). Let v be h\/12*1*87. Let c = v + -15. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 125*a**3 + 59 - 143 + 28 - 201*a**3 + 26.\nAnswer: -76*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -39 + (3 - 3) + -3. Let i be (t\/(-49))\/(3\/14). Factor -4*z**3 - 5*z**2 - 2*z**i + 0*z**4 + 0*z**3 + 3*z**2.\nAnswer: -2*z**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 - -203. Let k = 14360 - 14491.71. Let r = q + k. Round r to 1 decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/1804 and -9\/138908.\nAnswer: 138908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31.2 + 31. Which is the third biggest value? (a) 7 (b) k (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8*g**3 - 7*g**2 - 12*g - 583. Let k(i) = 9*i**3 - 9*i**2 - 14*i - 583. What is -6*k(r) + 7*n(r)?\nAnswer: 2*r**3 + 5*r**2 - 583","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2*a = 5*v + 2, 5*v + 10 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 t when three letters picked without replacement from {n: 2, t: 6, b: 4, q: 1}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 6:22 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-52)\/(-1)*(-60)\/(-48) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.2, 1\/14, -3\/5, 9\/67?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/7 (b) 0.09 (c) -21423 (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 6680.\nAnswer: 6678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -59 (b) -764 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - 2. Let j = c + 5. Let h = 5.5 + j. What is the nearest to 1 in 0.4, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1531948417205 - v + 1531948417205.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.9 + -1.1. Let b = j + 13.4. Let z = b + 8. What is the second smallest value in -2\/9, z, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5504 or -5505?\nAnswer: -5505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 247 = 5*c - 6*h, 196 = -4*c + 4*h. Let q = c + 161. Let a = -45 + q. Calculate the smallest common multiple of 14 and a.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**4\/6 - q**3 - 2*q**2 + 5*q - 2. Let f(g) be the first derivative of l(g). Let f(y) = 0. Calculate y.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -21 - (-1 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13281 and 7524?\nAnswer: 1753092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 354 + -184. Let j be (-2842)\/(-20) - 17\/p. What is the highest common divisor of 355 and j?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 487.2094 microseconds in seconds?\nAnswer: 0.0004872094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from abhyayl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*t = 149, -x + 2*t = 7*t + 78. Let m = 115 + x. Find the third derivative of 36*b**2 - 52*b**2 - 3*b**4 + m*b**4 wrt b.\nAnswer: 936*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 585\/(-117)*2\/(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 104 - -54 - -106?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 1)*(-n**4 - 5*n**2 + 5*n**2)*(0 - 4 + 5).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u + 681. Let d(i) = i**2 - 12. Calculate d(p(t)).\nAnswer: 4*t**2 + 2724*t + 463749","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9668*c**2 - 216*c**4 - 4*c + 9565*c**2 + 4*c wrt c?\nAnswer: -5184*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74764, 74905, 75148, 75493, 75940, 76489, 77140?\nAnswer: 77893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129250*p**2 - 129205*p**2 + 258453*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 21*o**3 - 16*o**2 + 15*o - 37. Let b be z(13). Is b\/7 - 26\/91 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1251 + 1255. Solve -4*d - 8 = -k*y, 4*y + 3 = 3*y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**9\/432 - 7*o**6\/360 + o**3 - 10*o**2. Let i(v) be the first derivative of x(v). Find the third derivative of i(n) wrt n.\nAnswer: 420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*y - 18*y - 18. Suppose -l - y*l = -2317. Suppose 0 = -3*s + 4*s - l. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379 - 379 + 2*s**3 - 1894*s.\nAnswer: 2*s**3 - 1894*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*f - 268. Let a = -3 - -6. Suppose -2*m - a*m = -f. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -204 by 6.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 172 divided by 4\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 31 (c) 9 (d) -4 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -13, 4, 2 in descending order.\nAnswer: 9, 4, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*p + 2*p - 63*p - 34*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6294 = 807*h + 673*h + 30706 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003057951 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1090 divided by 24\nAnswer: 545\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*f - 165 = 0, -z - 3*f = -2*f - 43. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566277643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2141 + -5.2141. Let p = -0.44 + 0.04. Sort -4, v, p in increasing order.\nAnswer: v, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000437 to five decimal places.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (-2 - 69\/(-2)) + (-15)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**4 + 7*f**3 - 3*f**3 - f**3 + 4 - 2*f**3 - f to k + j*f + s*f**3 + g*f**2 + u*f**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 8*b - 194. Let j be o(24). Let m(a) = -5*a**2 - a - 2. Let l(r) = -6*r**2 - r - 2. Determine j*l(g) + 3*m(g).\nAnswer: -3*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 16 = -3*g. What are the prime factors of g\/4*-8 - -1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5412\/24 + (-2)\/4. Let s(b) = b**2 - 6*b. Let n be s(6). Suppose n = -a - 2*a + k. Calculate the highest common divisor of 15 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-66)\/(-4))\/((-3)\/(-4)) and (-12)\/(-60) + 0 + (-39)\/(-5).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5946 is divided by 170.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 + 704*y + 12695. Calculate g(-215).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-1*sqrt(143) + sqrt(143) + -4*(sqrt(143) + 2*sqrt(143)))\/((sqrt(11) - sqrt(121)\/(sqrt(33)\/sqrt(3))) + (sqrt(1331) - sqrt(1331)*2)) + -4)**2 + -5.\nAnswer: -120*sqrt(13)\/11 + 4256\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.087, -1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 68*b**3 + 4*b**2 - 10*b - 1175. Let t(z) = -66*z**3 - 5*z**2 + 13*z + 1178. Let x(o) = 5*j(o) + 4*t(o). Differentiate x(y) with respect to y.\nAnswer: 228*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-3) + -1)*12. Let y be 11\/5 + j\/4. Let z = 3.88 - 3.78. Which is the third biggest value? (a) 1 (b) z (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 2. Let q be k(8). Suppose -6*v - 80 = -q*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 75.36582ml?\nAnswer: 0.07536582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4707368 to the nearest integer?\nAnswer: 2170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5 - 11142*a**4 + 15634428*a**3 - 323859188*a**2 + 600859650*a - 292623750 = 0. What is a?\nAnswer: 1, 19, 2775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - 42\/(-9))*24. Suppose 61*g - 57*g + d = 0. Are -27\/10 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4725964*o**2. Let q(x) = x**2. Determine q(f(p)).\nAnswer: 22334735729296*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/42)\/(5400\/3150). Which is the second biggest value? (a) -0.07 (b) -9 (c) 2 (d) g (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/sqrt(48))**2 + sqrt(13) + 4.\nAnswer: sqrt(13) + 29\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24672\/42 - (-3)\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4*sqrt(640))\/(sqrt(80)\/sqrt(4)))**2*6.\nAnswer: 49152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 4 = -4*h. Sort -3, h, 5 in ascending order.\nAnswer: -3, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -166, 2, 30, 17, -5 in decreasing order.\nAnswer: 30, 17, 2, -5, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2739187851?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g - 19*g = -12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4291523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 2)*(0 + 0 + 2*q) + 19*q - 7*q - q - 4*q + q - 5*q in the form b + r*q and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f + 2. Give d(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(8\/6) + 46\/18. Let h = 0.012 - 2.012. Which is the second smallest value? (a) h (b) 1\/7 (c) x (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2378, -9519, -21602, -38777, -61194, -89003, -122354?\nAnswer: -161397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*i + 5*t - 410 = 2432 - 488, -i + 3*t = -2*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 9:40 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 171\/10 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12, -27, -86, -159, -240, -323?\n\"Answer: p**3 - 16*p**2 + 2*p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6656 + -2?\nAnswer: -6661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 146 - -18. Suppose -u = -3*b + 5*w, 0*b + 3*w = 3*b - 156. Calculate the highest common factor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 (base 12) in base 8?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 20. Suppose 73 = d*k - 95. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133344998.\nAnswer: 2, 66672499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/44)\/(((-680)\/(-48) + -14)*-1).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (162\/243)\/((-6)\/(-216) - (-1)\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -100*p + 512*p - 1835 + 550*p - 225*p + 593*p wrt p.\nAnswer: 1330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5 = 2*z - 4*z, 5*m - 15 = -4*z. Suppose 3*f = 5*f - 3*v - 1910, z*f - 4789 = 4*v. Suppose f - 191 = 5*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53 or -910\/109?\nAnswer: -910\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8262364 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 18, -2\/19, 2 in increasing order.\nAnswer: -5, -2\/19, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20 - -2)\/(-4*(-3)\/16). Let j be k\/2*(-1 + (-3)\/9). Solve q + j = -3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/6*((-16)\/(-144) - (-32047298)\/9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58 - 44) + -1 + -11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 26, -0.5, -4, 192\/11?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 2*d - 27. Let o(l) be the third derivative of -l**5\/60 - 6*l**2 + 91*l + 1. What is t(o(r))?\nAnswer: -r**4 + 2*r**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/436710 and 111\/1018990.\nAnswer: 3056970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 5:29 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 2 + 0*b + 0*b**3 + 2*b**3)*(0 + 1 - 4).\nAnswer: -6*b**3 + 6*b + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 8776\nAnswer: 1\/2194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 141 = -507. Let j = 852\/7 - w. Which is the closest to -1\/2? (a) j (b) -0.4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2739171823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3703*q = -38831 + 337506 + 123467 for q.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkgz when four letters picked without replacement from tttgttkgstzzgt?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l - 34. Let k be g(8). Solve -3*c + k = -2*s + s, -s - 4*c = -15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + j + 14 - 6, -20 = -2*n + 3*j. Suppose 413 = n*v - 547. What is the highest common factor of v and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 1229?\nAnswer: -1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -3*x**4\/8 + 49*x**2. Let a(f) = 35*f. Let n(w) = -22*w. Let c(g) = -6*a(g) - 10*n(g). Calculate c(d(m)).\nAnswer: -90*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1537209296 - -37.\nAnswer: 1537209333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7567733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from dbabbsusuuuusuusauu?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-28)*(-3)\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - -3 - (-52 + 0). Let v be 18*(1 + n\/6). Let a be (-1)\/4 - (-77)\/4. What is the greatest common divisor of v and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1924*g - 2 - 611*g + 1 + 1 to the form z + j*g and give j.\nAnswer: 1313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 243753533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 3. Suppose -2*z - 6 = 5*h - 35, -3*z + 6 = 0. Let a be f(h). What is the units digit of 1 - ((-4 - -2) + a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2496529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 497801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*h - 2*m = 46*h - 7756, 0 = 2*h - 4*m - 7762. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190979891393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 463908 and 13229456?\nAnswer: 2308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**5 + 282*p**4 - 1164*p**3 + 1176*p**2 = 0?\nAnswer: -98, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwjj when four letters picked without replacement from fwwwwwfwjfwff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 24 - 33 + 67)*(4*k**2 + 26*k - 26*k)*(-3*k - 3*k + 3*k) in the form d*k**2 + z*k**3 + a*k + b and give z.\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((a - a - 2*a)*(-2*a + a**2 + 2*a) - 2*a**3 + 3*a**3 + 2*a**3)*(0*a - 2*a + 4*a)*(5 + 8*a - 5).\nAnswer: 16*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2047942552?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjh when three letters picked without replacement from qohhhqhqtttqhttj?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*c + 21*c + 24*c + 15*c + 42*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - 2*q + 5*q)*(14 + 4*q - 3 - 13).\nAnswer: -4*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 3 = -3*b, 202*c - 21 = 209*c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*b**3*t**5 - 3*b**3*t**2 - 71*b**3*t - 2*b**2 - 7*b*t**2 + 9*t**5 wrt t.\nAnswer: -1740*b**3*t**2 + 540*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 + 160. Let a = 65 + -31. What is the remainder when r is divided by a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 21 + 9 = -2*f, -5*f = -n + 30. Let t be ((-1)\/(-1))\/(3\/n). Let h = -19\/18 + 14\/9. Which is the closest to -0.1? (a) t (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-610)\/(-4)*12\/15.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11862?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/2688 and 35\/1906336?\nAnswer: 160132224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akuaojuo. What is prob of sequence jaa?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 217121, 217386, 218117, 219548, 221913?\nAnswer: 225446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(306))\/sqrt(9))\/sqrt(2).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 14*v - v**3 - 1 + 3 to b*v**2 + g*v**3 + f*v + j and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1174*y**4 + 2404*y.\nAnswer: 14088*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-13)*d)**(-49)*(d**(-3\/19)*d)**(-10) assuming d is positive.\nAnswer: d**(10081\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 163, 347, 531, 715?\n\"Answer: 184*q - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37178118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gge. What is prob of sequence ge?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c + -c2485b?\nAnswer: -c2481c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31024 and 54668720.\nAnswer: 4432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104 and 8376.\nAnswer: 108888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 364144 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 257 + -155. Factor 2*f**2 - 2*f**2 - 5*f**3 + 107*f - t*f.\nAnswer: -5*f*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = c + 1 - 6, 3*c + 10 = h. Let s be (-1)\/(-4) + 35\/4. Let j be 3\/s + (-16)\/(-6). Put h, j, -3 in descending order.\nAnswer: j, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 - 152*q**4 + 0 - 32*q**3 + q + 31*q**3 + q**2 + 0 as k + w*q**3 + d*q**2 + m*q + a*q**4 and give a.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222001 (base 3) to base 6.\nAnswer: -3131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83666470?\nAnswer: 2, 5, 8366647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, k: 1, z: 2, t: 2}. What is prob of sequence ze?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, s: 2}. What is prob of picking 3 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 85746695 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2210421231 (base 5) to base 9.\nAnswer: -8884288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 348.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -514945*q**4 - 898*q**3 - 9175*q - 41666?\nAnswer: -6179340*q**2 - 5388*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 30 + -23 + -45 + 57\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7004 + -6895. Solve t*f = 121*f + 36 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1973 - -1173. Let v be (30\/4)\/(10\/i). What is v rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 62, 92, 122?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*d**4 - d**3 - 25*d**2 + 2.\nAnswer: -288*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/3, -667\/4, 1\/4, 2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -911, -2.\nAnswer: -911, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 203*q**2 + q - 1. What is the tens digit of m(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 263 * 122.6.\nAnswer: 32243.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bu when two letters picked without replacement from {u: 11, b: 3}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - d**2 - d + 16. Let n be h(0). Suppose 4*g = g - 2*w + 20, n = 3*g + w. Suppose 15 = g*k + k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -39085*n**2. Let h(t) = -2509*t**2. What is h(w(o))?\nAnswer: -3832841797525*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34867165 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 1:01 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-8) - 12\/(-16). Suppose 2 = z - h. What is the second derivative of -f**3 + z*f**3 - 3*f**3 - f wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -5. Suppose r = k*r - 3. Suppose r*c = -0*c + 45. What is the remainder when 43 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + -5 + (2*sqrt(891))**2 + sqrt(891) + -1 + -2).\nAnswer: -21324 - 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6901 + 8063 = 62*n + 16576 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**2 + 19*u + 48794. Let b = -17 + 9. Give y(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8008?\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 171 + -118. Suppose -32*g - y = -33*g. What is the remainder when g is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47068880 to the nearest 10000.\nAnswer: -47070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13499 is divided by 286.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(94\/6 + 3). Suppose 3*i + i = -j. Let b = i - -24. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*(2 + 2 + sqrt(180) - -1*(sqrt(180) + 0))**2.\nAnswer: 480*sqrt(5) + 3675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/13 - (-3 + 0). What is the common denominator of -1 + (34\/16)\/(-1) and (22\/r)\/(8\/(-14))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-8))\/((-17)\/(-374)). Solve -l*n + 5 + 6 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 + 61. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulauaauuaauauuulaaa. Give prob of picking 2 l.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6198021917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 56*p**2 - 2*p + 56. Let y be w(-7). Suppose -4*u + 5*c + 2250 = 2*c, 0 = 5*u - 3*c - y. What are the prime factors of u?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**2 + 80*j + 0*j**2 - 72*j - 2*j**2 + 1 - 1 + (7*j**2 - 3*j**2 - 2*j**2)*(0 + 1 + 1) + 2*j**2 + 0 + 2 + 0*j**2.\nAnswer: -j**2 + 8*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 837 and 372.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134\/(-3)*(-14622)\/9748.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w + 19 = 5*x - 21*w, -2*w - 51 = 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 45.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 59488807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 25*u**2 + 50*u + 106. Give w(27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by 3?\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16456 - 16435 = 7*k. Solve -7*s = k*f - 5*s - 15, -5*f = -5*s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 1458.\nAnswer: 7290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 0 + 0 + 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzw when three letters picked without replacement from wzzzzwzz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*u = 0, 2*r - 6*r + 6 = 2*u. What is the second derivative of y - 2*y**4 - r*y + 5*y wrt y?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/6)\/((-4)\/114). Suppose 34 = 3*c - q. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -333 - -2123?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -240*u + 11. Let r(m) = 239*m - 14. What is -10*k(t) - 9*r(t)?\nAnswer: 249*t + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*y + 7136 = 0, 4*c = 3*y + y - 7136. Let p be (c\/(-42))\/(66\/(-77)). Let k = -1823\/36 - p. Calculate the common denominator of k and 1\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 - 628\/7. Let k = 1 - 0. Let p = 2\/75 + 13\/75. Which is the nearest to q? (a) k (b) -1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 408988*d**3 + 2712*d**3 - 2*d - 3*d**2 + 2*d.\nAnswer: 411700*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*x**5 - 7976*x**4\/5 - 206174*x**3\/5 - 137380*x**2 - 635144*x\/5 - 1904\/5 = 0.\nAnswer: -7, -2, -2\/665, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 2, -10\/7 in increasing order.\nAnswer: -10\/7, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48960 and 704.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 427 and 22\/55 + 232\/60*123.\nAnswer: 29036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 51 - -26) + 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10151 - 0?\nAnswer: -10151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -14*u - 33. Is c(-6) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1930 (base 14) to base 5.\nAnswer: -121200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 2 = 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3921*l + 0*l**2 - 3902*l - 2*l**2 + (4 + 2*l - 4)*(-14*l + 5*l - 8*l).\nAnswer: -36*l**2 + 19*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t = -1639 + 503. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - v - 5 = 18, -s - 5*v = 3. Suppose s*b - 4*b = 357. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -52*h - 789*h - 372 + 372 - 226*h. Let v(o) = -14*o. Give w(v(u)).\nAnswer: 14938*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, -2\/11, -0.5429, -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(726) - sqrt(726)*-1 - sqrt(1500)\/sqrt(10))\/(6*(sqrt(432) - sqrt(432)*1*3)))**2.\nAnswer: 289\/10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4440*w - 1 = -4417*w + 22 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 5. Let v be t(0). Solve 2*r - 5 = -3*x, 0 = -v*x - 4*r - 1 + 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0541 and 2.\nAnswer: 0.1082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/h**(-8))\/h)\/h**10 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/15*5*8\/(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*d - 1571 + 903 = 5572. What is the highest common divisor of 1690 and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + d - 8 = 0. Suppose -d*g - 5*p = -443, -5*g + p + 1064 = -p. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10907 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/37 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 35. Suppose -23*r + 27*r = 8. Let u(m) = -n*m - r*m + 8*m. Let d(i) = 5*i**2. Determine d(u(s)).\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1250309534?\nAnswer: 2, 13523, 46229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 3*b + 665, -3*d - 5*b + 1529 - 484 = 0. Let m = -679\/2 + d. What is the second smallest value in m, -0.2, -26?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.6 - -8.8. Which is the nearest to -5\/7? (a) d (b) 2 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 0, -4*m - u = -11 - 9. Let t(q) = 3*q**2 - 11*q - 7. Let z(l) = -4*l**2 + 10*l + 6. Let c(d) = m*z(d) + 4*t(d). Factor c(y).\nAnswer: -2*(y - 1)*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*x = 1796, -4*x + 440 + 1350 = 3*a. Let n = a - 323. What is the highest common divisor of 55 and n?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2214, -1656, -236, 2448, 6798, 13216, 22104?\n\"Answer: 67*l**3 + 29*l**2 + 2*l - 2312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -254 (base 14) to base 9.\nAnswer: -567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-162)\/3 - (1106 + -1176).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.21 - 10.1154. Let m = j + -0.0546. What is the closest to 1\/4 in 2\/7, -9, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 17 = 2. Let v = g + -1. Let o(h) = 5*h**3 - 4*h**3 - 6*h**2 - 4 + h**v. Determine o(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p**3 + 60*p**2 - 12*p = 0.\nAnswer: 0, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**1)\/p)\/((p*(p*p**(5\/7)*p)\/p*p)\/p)*(p**(1\/7))**(22\/5) assuming p is positive.\nAnswer: p**(-38\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13.22 or 213399?\nAnswer: 213399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-196)\/8*(-288)\/252*2\/(-3)*-3\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 12:56 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 37 - 19 = -9 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13380 + 14019. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 520 is divided by 246?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a centimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -11249*d + 8. Suppose 4 = -4*i, 35 = -3*a + 2*i + 2*i. Let m = a + 5. Let t be j(m). Round t to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1259*u**2 - 161*u + 1113. Let l be v(7). Round l to the nearest 1000.\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81387\/40 - 2035. Calculate the common denominator of n and (-4)\/36 + 220\/(-144).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**7\/1050 + x**6\/200 - x**5\/300 - x**4\/40 + 20*x**2 + x - 46. Let d(p) be the second derivative of n(p). Factor d(u).\nAnswer: u*(u - 1)*(u + 1)*(u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*v + 43422, 0 = 3*g + v + 2*v - 43422. Suppose -g = 2*k + 2726. Round k to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t - 8. Let v be k(-6). Suppose 8*s + v = 3*s. Let j = s - -7. Solve -2*b + 5*d = 24, -4*b = -j*b + 5*d - 22 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 4*i - 4*h, 5*h + 17 = 3*i - 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6540 by -10.\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 3:29 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 3*d - 104. Let m(r) = r**3 - 18*r**2 + 57*r - 380. Let k be m(16). Calculate the highest common factor of d and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*x - 2*h - 12, 4*h = 4*x - 36. Let o(t) = t**2 + 2*t - 20. Let g = -150 + 143. Let n be o(g). Solve x*p - p = -n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07 + -2.27. Let k = j - 0.8. Let u = 27 + -29. Which is smaller: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2256978 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: Simplify (4*(1*sqrt(1088)*2 - (1 + sqrt(1088) + -1 + sqrt(1088)))*-4*4)**2*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b - 13*b = 3448. Is b a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49544*d**4 + 159*d**3*y + d**3 + d**2*y + 4*d**2 - 2839*d*y - 2*d - 4*y + 6 wrt d?\nAnswer: 1189056*d + 954*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 - 4*j + 9. Let s be k(-3). What is the smallest value in 1\/4, s, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 739661.\nAnswer: 13, 56897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 10925892*j**2 - 2. Let i(w) = 2*w**2. Give m(i(n)).\nAnswer: 43703568*n**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7739 or -7666?\nAnswer: -7739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4414?\nAnswer: 2, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.13 - 0.03. Let j = 0.09 - 0.19. Sort -0.5, j, l in descending order.\nAnswer: l, j, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 8*q + 3*q = -198, -263 = -3*v + q. Is v a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 49?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104946, 5, 1, 4, 2, -1 in decreasing order.\nAnswer: 5, 4, 2, 1, -1, -104946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1749 - 7595. Is -3 + (2 - 1)*4 - d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*(2 + sqrt(288)).\nAnswer: 24 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/5, 4, -4.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3 - 5 - 6*o + 6 + 6*o**2. Let x(k) = -7*k**2 + 7*k - 5. Let u(l) = 5*x(l) + 6*z(l). Calculate the remainder when 32 is divided by u(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 1032*q - 8391. Determine h(8).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1161276 = 4*m + 2*l, 2*l = 33*m - 38*m + 1451593. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + 10*p**3 + 103 - 103 - 3*p**2 + 10*p**3 - 2*p**3 - 32*p**3 + (3*p**2 - p**2 - 5*p**2)*(-3*p + 0*p + 5*p).\nAnswer: -20*p**3 - 3*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -3 - (3 - 3) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*y + 179469 + 164835 = -55576. Does 29 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 6 = 0, -6*t = -t + l - 23. Solve -q + x = q - 5, -3*q - t*x + 40 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**4 + 123780*s**3 + 495205*s**2 - 123780*s - 495200 = 0. What is s?\nAnswer: -4, -1, 1, 24760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttttttltltttttttt. Give prob of sequence ll.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (352 - 890) + 515 - ((1 - 1) + 65)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*7\/(-315)*5\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -804, -1707, -2610, -3513, -4416, -5319?\n\"Answer: -903*p + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502684 is divided by 1265?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -20, 2\/17, 0.6, -1?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*g = 32, -5*i - g - 49 = -3*i. Suppose 2*k + 8 + 34 = 0. Let f be 7\/k - i\/42. Which is the biggest value? (a) -0.4 (b) f (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/((-49)\/(-42)) + 10. Put -8, p, -13, 2 in decreasing order.\nAnswer: p, 2, -8, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-678)\/12 - (0 - 1\/2). Let u = -52 - d. Suppose 0 = 5*p - u - 11, -2*p - 124 = -2*r. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -1438, -1, -2 in ascending order.\nAnswer: -1438, -4, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 - 5*t + 6 - 13*t + 27*t - 9*t. Let k(i) = -3*i**2 - 9. Suppose l + 25 = -4*l. What is l*k(q) - 7*z(q)?\nAnswer: q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 394*s + 19. Let f be m(4). Suppose r - n - 216 = 105, 0 = -5*r - 5*n + f. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a day in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 7*q**4\/12 + q**3\/2 + 8*q + 8. Let r(x) be the first derivative of l(x). Find the second derivative of r(n) wrt n.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25 minus 5?\nAnswer: -5.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/15*6\/(-8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4114 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 3*d + 976 - 966, -4*t = 2*d + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -15 + 4*d + 8 + 0*d. Calculate the remainder when w(7) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -g - 5*f, 5*g + 11*f - 20 + 14 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -5*v**2\/2 + 4. Let i(b) = 6*b. What is i(c(a))?\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -97*f. Let j(z) = 3*z**2. Calculate j(w(p)).\nAnswer: 28227*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2849 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22718582, -22718581, -22718580, -22718579, -22718578?\nAnswer: -22718577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 7787\/5?\nAnswer: 7787\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**6\/60 - 499*d**5\/15 + 333*d**4\/4 + 5983*d**2. Factor p(g).\nAnswer: -2*g*(g - 1)*(g + 999)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -152, -227, -302, -377, -452?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -173, -4, -5 in increasing order.\nAnswer: -173, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.4518 millennia in centuries?\nAnswer: 244.518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103 and 5047.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 448315331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 7*u**5\/120 + 13*u**3 - 2*u + 37. Let c(f) be the third derivative of d(f). Let y(o) = -23*o. Determine c(y(s)).\nAnswer: -161*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 0 + (4 - 19) + 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*t + 6 - 6)*(-3*t**2 + 2*t**2 + 0*t**2)*(0*t + 5*t - 6*t) in the form w*t + o*t**2 + b*t**4 + h + z*t**3 and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sipkvlkilli. Give prob of sequence pkik.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llt when three letters picked without replacement from {t: 2, x: 6, s: 3, l: 2}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 45*g - 18*g - 13*g - 68 + 38*g to y + f*g and give f.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -16*w - 28*w + 2065. What is the remainder when 480 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181574133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.19 from -486809.\nAnswer: -486809.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.8, 24, -0.057 in descending order.\nAnswer: 24, 1.8, -0.057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 426, -4, -72, -3, -15 in ascending order.\nAnswer: -72, -15, -4, -3, 426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -q**3\/3 + 4*q**2 - 6*q - 27. Give d(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -44, -92, -142, -194?\n\"Answer: -w**2 - 45*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(3\/13)\/l*l*l)\/(l*(l\/(l**(1\/11)\/l))\/l*l))**29 assuming l is positive.\nAnswer: l**(-2813\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 0*h**2 + 71*h - 33*h + 7 - 5*h**2 - 28*h. Let z(f) = 3*f**2 - 5*f - 4. What is -4*j(l) - 7*z(l)?\nAnswer: -l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**13\/d*((d\/d**(-2\/23))\/d)\/d)**(10\/9) assuming d is positive.\nAnswer: d**(850\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 1. Suppose b*h + 7 = h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 131 + 2021?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*u + 3*n, 0 = -158*u + 156*u - 4*n - 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 5 (c) -261 (d) -13 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -30?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -248853 divided by 33\nAnswer: -7541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (13 + (-2 - 14) + 6)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1019 + -597. Let n = -99 + k. What is the greatest common divisor of 17 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -352\/3 + 126. What is the common denominator of 61\/141 and c?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -35629*j + 320650. Determine b(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142, 499, 2698, 7235, 14890, 26443, 42674, 64363?\nAnswer: 92290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9\/14 + -1\/2. Let c = 6.1 + -1.1. What is the third biggest value in l, -1\/2, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 not equal to 0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 905172 - 905172 + 1088*o - 6693*o.\nAnswer: -5605*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 6:42 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**36)**33 assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -1\/4, -0.0797, 2\/1027, 5?\nAnswer: 2\/1027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -146*o + 2648. Give y(18).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**5 + 155*f**4 + 880*f**3 - 2420*f**2 = 0.\nAnswer: -22, -11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -5*i**4 - 15210*i**3 - 467125*i**2 - 1264620*i = 0.\nAnswer: -3011, -28, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)*-1)\/sqrt(12).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*x**3 + 16*x**2 + 13*x + 99 wrt x?\nAnswer: -42*x + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/24*(-5)\/(10\/(-16))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azaaabaaazzaazzabz. Give prob of sequence azaa.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-1*2*1)\/5)\/(149960\/23243800)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -103\/16 or 280.2?\nAnswer: 280.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, n: 4, q: 2, o: 4}. What is prob of picking 2 n and 1 c?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31969 or -31970?\nAnswer: -31970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - 106\/2*1. Let c be -3 - 1\/(1\/s). What is the greatest common divisor of 34 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-8 + 36\/5). Let a(v) be the first derivative of -31*v**2\/2 - 44*v + 3. What is the units digit of a(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3504 = -83*j - 136*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 649\/228 - 1\/76. Let t(y) be the third derivative of 0 - y**2 + 0*y**6 + 0*y - i*y**3 - 19\/210*y**7 + 0*y**5 + 0*y**4. Differentiate t(w) wrt w.\nAnswer: -76*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = 11221*l - 11216*l - 7*t, 99 = 7*l - 4*t for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 3:52 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 1\/7*s**4 + 4\/7*s**2 + 0 + 6\/7*s**3 - 4\/35*s**5 - 6*s. Factor q(h).\nAnswer: -4*(h - 2)*(h + 1)*(4*h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/51*(-10)\/(-50).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1080.1*1082.\nAnswer: -1168668.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -16*v + 7*v + 9*v + v. Let y(x) = -6*x**3 - x**2 - 2*x - 1. Let i be y(-1). Let c(u) = -8 + i*u + 8. What is r(c(w))?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001199344 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -834*n + 74403. Determine k(86).\nAnswer: 2679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z = 7859 + 9871. What is the greatest common factor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88393205?\nAnswer: 5, 17678641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15058684.\nAnswer: 2, 31, 121441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 15\/((-255)\/(-476))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -689 + 670 + (2 - (35 - -2))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -6640, 13.\nAnswer: -6640, -36, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 9 = -l. Let c(t) = -4 + 9 + 11 - 8*t + l. Is c(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/3 + -2)*(-12 + 9). Suppose -2*u - 12 = -n, 5*n + r*u - 39 = 7*u. Which is bigger: -5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) 0.1 (b) -10 (c) -3 (d) 1\/8 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 23689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 x when two letters picked without replacement from oookexkoookmkoo?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3112 + 11?\nAnswer: 3123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2 - 6. Does 4 divide 1\/2 + (-13)\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32522 (base 6) to base 9.\nAnswer: -6165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -819*b + 1080. What are the prime factors of w(-32)?\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2 + a - 7. Let z(x) = 8*x**2 + 2306*x - 30. Give -4*r(m) + z(m).\nAnswer: -4*m**2 + 2302*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270081 is divided by 213.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2304, -2302, -2298, -2292?\n\"Answer: s**2 - s - 2304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 762041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**4\/12 + z**3\/6 + 11*z**2\/2 - 7*z. Let c be k(0). Suppose -c = r - 2*r. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -4, -2, 0.4, -1\/4.\nAnswer: -4, -2, -5\/4, -1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o - 3. Let w = 137 + -135. Calculate f(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 2*o - 20. Let k = 1.045 + -1. Let r = -0.445 + k. Which is the smallest value? (a) o (b) r (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -324.251 and 1001677230?\nAnswer: 1001677554.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (110236\/(-84))\/31 + 2\/(-3).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59504819 a multiple of 410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4630 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/222 and -103\/444.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -17. Solve 0 = -s + 3*p + 2, 0 = m*s - 2*p - 0*p + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3195666 and 64906?\nAnswer: 3818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(11) - sqrt(44))**2*-4 + sqrt(110)\/(sqrt(10)*-2*-4).\nAnswer: -42 + sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1846 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-22)\/(-1474))*(-70)\/(-28)*2\/5?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**7\/11340 - u**6\/1080 + u**4\/2 - 2*u. Let m(s) be the third derivative of g(s). Factor m(i).\nAnswer: 2*i*(i - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -352340 (base 6) to base 13.\nAnswer: -10a94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1106\/9 or 8919?\nAnswer: -1106\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 2098871?\nAnswer: 4197742","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.2, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 591, 591, 589, 585, 579?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 16*f**3 - f**2 + f - 3. Let t(u) = -17*u**3 + u**2 - u + 2. Give -5*t(h) - 4*z(h).\nAnswer: 21*h**3 - h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11100.6 - 11089. What is the smallest value in a, 2\/9, 1\/2, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-12)\/(-4))\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89813884 is divided by 4727046.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/((-546)\/72))\/((-364)\/(-98)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 11 + -2 + (-5 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1467377, -1467391, -1467405?\n\"Answer: -14*x - 1467363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/2)\/g)**(-1\/27))**(1\/9)*((g\/(g*(g\/(g\/((g*g**(1\/2))\/g)))\/g*g))\/g**(-3))\/(g**(4\/7)*g*g*g**(-1)*g) assuming g is positive.\nAnswer: g**(-37\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*y - 25, -5*b + 2*b - 42 = -5*y. Let u = 2 + y. Solve 5*s - u*s = -12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 395.1 * 1.8.\nAnswer: 711.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 262181100 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uddduuuududdd. What is prob of picking 3 d?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(5\/(-1))*2\/1. Calculate the highest common divisor of a and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.46 + -0.26. What is the nearest to 1\/2 in b, 0, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -74360619.5 and -35.7?\nAnswer: 74360583.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 h, and 1 p when four letters picked without replacement from {h: 3, l: 4, p: 5, v: 1}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2457, 13, -1, 540 in decreasing order.\nAnswer: 540, 13, -1, -2457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -398*a + 405*a - 3241 = 0. List the prime factors of a.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -32. What is the remainder when y is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3296*o**3*v**2 + 2*o**3 - 441*o**2 + o + 118*v**3 + 58 wrt v.\nAnswer: -6592*o**3*v + 354*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**8\/5040 + r**7\/1260 - r**5\/30 + 11*r**2. Let a(i) be the third derivative of t(i). Factor a(s).\nAnswer: 4*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from vqqvvqqvvq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.27? (a) 1241687 (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -549 (b) -2\/5 (c) 1401 (d) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409920?\nAnswer: 2, 3, 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 6*z**2 + z + 8. Let p = -8 + 21. Let x(i) = 2*i**2 - 8*i + 2. Let y be x(5). Let k be y - p - (6 + -1). Determine t(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24642351 - 896.\nAnswer: -24643247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3449200637583\nAnswer: 3449200637584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*s**3*z**3 + s**3 - 7*s**2*z**2 + 2*s**2*z - 2*s*z**6 wrt z.\nAnswer: 162*s**3 - 240*s*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7.072883 and 1.6.\nAnswer: -5.472883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 755885800.\nAnswer: 2, 5, 23, 73, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 5*i - 1. Let v(z) = 2*z**2 - 11*z - 2. Let d be (-1)\/((3 - (-3)\/(-9)) + -3). Calculate d*v(s) - 7*x(s).\nAnswer: -s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 + 15 - 7*u**3 - u - u**3 + 3*u**3 to b + y*u + d*u**3 + z*u**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 209 + -267. Let o = y + 254. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1104481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(2))\/sqrt(5) + (-3 + sqrt(2))*3.\nAnswer: -9 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2 + 4. Let w(g) = 7*g**2 + 9. Let y(t) = -9*s(t) + 4*w(t). Let p(k) = 3*k. Calculate y(p(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 153.8?\nAnswer: 46.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1237, 1239, 1241?\nAnswer: 1243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 184 - 98. What are the prime factors of w?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*r - 26*r - 4*h - 4, 0 = -4*h - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2342 + 1438 = 42*u. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, 2, -0.1 in descending order.\nAnswer: 2, -0.1, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8879 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/5 + (-21944)\/(-20). Let o = 7699\/7 - t. Let c = 119221\/9832 + -1\/1229. Find the common denominator of o and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -268 - -264.88. Let i = -3.42 - h. What is the third biggest value in 2\/5, -4, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3947552 is divided by 1254.\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1380 and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7*l**3 + 9*l**2 - 14*l + 3. Let x(t) = -8*t**3 - 10*t**2 + 14*t - 2. Let y(w) = -6*o(w) - 5*x(w). Factor y(g).\nAnswer: -2*(g - 1)**2*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2*z - 31934, -2*y + 858*z + 31939 = 859*z. Is y a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x + 1. Suppose 5*w + 5*t = 0, 2*w + 6*t - 2*t = -8. Let g be q(w). Calculate the remainder when -12 + g - (1 + -161) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (27 + 34*r - 27)*((0 - 1 - 1)*(-5*r + 3*r + 3*r) + 36*r - 11*r + 37*r) as v*r**2 + c + p*r and give v.\nAnswer: 2040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -835 - 1177. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832 is divided by 89.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -315*s + 289*s. Solve -f + 12 - 9 = 0, -s*u - 2*f - 3 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/7*(-210)\/(-60).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15717284?\nAnswer: 2, 11, 357211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-7) + 100\/35. Suppose -a = -11 + d. What is the highest common divisor of a and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*l**2 + 5*l**2 + 380*l**2.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 494 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 32705c (base 16) in base 4?\nAnswer: 30213001130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -57309 (base 13) in base 2?\nAnswer: -100110101111101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 12 = -0*f + 8, n = -0*n - 3*n + 5*f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 4. Let u be z(4). Let a = -1 + u. What are the prime factors of 12\/3 + a + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(147) + 0)*1 + (sqrt(147) + 1*2*sqrt(147) - sqrt(147)))*-4*-2)**2.\nAnswer: 84672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006767 to six dps.\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.259 to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 0 - 4*q + 0*q**3 - 6*q**2 + 1\/4*q**4. Factor h(j).\nAnswer: 3*(j - 2)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 79218c - 2?\nAnswer: 79218a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 3, 362 in increasing order.\nAnswer: -1, 3, 5, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2048 + -1951. What is the smallest common multiple of j and 2?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**18)*g**(-24))\/((g*g**5)\/((g**(-1\/8)\/g)\/g*g*g*g)) assuming g is positive.\nAnswer: g**(-377\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*s - 1649 - 6160 = 0, 7805 = -5*i - 5*s. Let c = i + 2795. What is c rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 1\/14 (b) -3 (c) -5 (d) 69 (e) 11\/2 (f) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - -12. Suppose -2*d - l = 35. Let w = 56 + d. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 46*w**2 - 2*w - 1. Let g be x(-1). Suppose g = 5*t - 23. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5549\/95 or -59?\nAnswer: -5549\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39028, -39041, -39048, -39049?\n\"Answer: 3*l**2 - 22*l - 39009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, l: 2, p: 1, n: 1, t: 2, b: 1}. What is prob of sequence pn?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*t + 0 = -6, -6 = -2*m + t. Suppose 0 = -5*r + 5*s + 155, -r + s + 19 = -m*s. Is 23 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*o + 2*k, 2*k - 1 = 4*o - 25. Let c = -325 + 330. Which is smaller: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 119) + (-3)\/(1*-3). Let c = -82 - r. Calculate the remainder when 70 is divided by c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4285525\/91 - 47093. Find the common denominator of n and -19\/2132.\nAnswer: 14924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*m - 10173 = 6321, 5*k = 3*m + 20622. What are the prime factors of k?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6*6\/9)\/(-1). Let m be (-1*1)\/(f\/60). Let t = -10 + m. What is the remainder when 8 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 12586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 8. Suppose b - 31 = -a. What are the prime factors of b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/29 (b) -5 (c) 1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113405472.\nAnswer: 2, 3, 103, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8*1*(-35)\/(-70)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 111 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20796383 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14627 - 14629. Let r(o) = -o**2 + 12*o + 6. Let y be r(13). Let x = 8 - 6. Sort 5, y, h, x.\nAnswer: y, h, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**5\/5 - 944*h**4\/5 - 110444*h**3\/5 + 223728*h**2\/5 - 112338*h\/5 = 0.\nAnswer: -237, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*r + 116844 = 97*r + 85*r. What is the greatest common factor of r and 442?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 370352 and 15896?\nAnswer: 735889424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 3:35 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 4*t + 2*t)*(2*t + 0*t - 3*t) + 2 - 4*t**2 - 2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 2:54 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1364 + -1362. Solve -6*y = -2*y, 2*r - y = s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.8, 518, 14, -2, 0.5, -1\/8.\nAnswer: -2, -1.8, -1\/8, 0.5, 14, 518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 2*t**3 - t**3)*(-2*t + 5*t - t) - 5849*t**3 + 5849*t**3 + 25*t**4.\nAnswer: 23*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 + 2 + 2*r**2 + r + 2*r + 7*r**3 - 4*r**3 in the form z + k*r + c*r**3 + h*r**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -727288, 1 in ascending order.\nAnswer: -727288, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -95*l - 1. Let p(o) be the first derivative of 3*o**2\/2 - 2016. Calculate p(s(y)).\nAnswer: -285*y - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 21*f**2\/2 - 97*f + 13. Is 4 a factor of m(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 542320 to the power of 1\/2, to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1387 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -152*d**4 + 86*d**3 - 6480*d**2 wrt d.\nAnswer: -3648*d + 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w - 4. What is h(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w**2 + 3. Let y(z) = 90*z**2 + 55. Let i(f) = -110*a(f) + 6*y(f). Calculate i(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d - 5*d - 440. What is the remainder when d is divided by 43 + -4 + (-2 - 0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -29*k**4\/8 - 46*k**3\/3 + 41*k**2 - 1. What is the derivative of y(d) wrt d?\nAnswer: -87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 67483866 and 388956.\nAnswer: 134967732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 7 + 9 = 0, 0 = -d - 2*b + 3. Solve 12 + 45*v**d + 18 + 289*v**2 - 30*v**4 - 310*v**3 - 99*v**2 - 215*v + 290*v**2 = 0 for v.\nAnswer: -3, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 divided by 4.\nAnswer: 55\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(5)*1)**2 + (sqrt(15)*-2)\/sqrt(3).\nAnswer: -2*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-47)\/24)\/(4\/6) and (2\/(-10))\/((-8)\/(-196))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 191*r**2 - 6*r. Let n(m) = m**2 - m. Let o(y) = -6*n(y) + z(y). Let p(w) = -w**2. Give p(o(a)).\nAnswer: -34225*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 102*s - 99*s + 1 + 0 + 2*s**3 as c*s**3 + u + r*s + x*s**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q*q\/(q\/(q\/((q*q\/q**14)\/q*q)))*q)\/q)\/q)**(-43) assuming q is positive.\nAnswer: q**(-645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 640 and 21920?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -409*l = -413*l + 7632. Suppose 43*z = 34*z + l. What is the remainder when z is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 8:20 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01177 to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 370 divided by -383562?\nAnswer: -185\/191781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -582 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29890? (a) 2626 (b) -2\/7 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 - 4*j**2 + 1577*j - j**3 + 34 - 1579*j to the form d*j**3 + g*j**2 + s + f*j and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 4:22 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 38?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107723?\nAnswer: 7, 11, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/548797 - -335819\/6585564. What is the common denominator of -3\/11 and v?\nAnswer: 8844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 1:29 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3300 + 5?\nAnswer: -3262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -7.22 (b) 0.8 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -46.5 times 2\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 - -9) - (944 + -951) - 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*m*o**2 + 158088*m*o + 98067*o**2 + 20 wrt m?\nAnswer: 17*o**2 + 158088*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 25309.534 to the nearest one hundred.\nAnswer: 25300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4631\/114 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -1669*f**3 - 4*f**2 - 6*f. Let p(h) = 5007*h**3 + 11*h**2 + 16*h. What is -8*g(t) - 3*p(t)?\nAnswer: -1669*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02161 + 0.02161. Which is the smallest value? (a) -65 (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1924\/(-4914) + (3 + (-96)\/28)\/(-1)\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6493436080 to the nearest integer?\nAnswer: 1866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/12*-4*8\/56*0. Solve -5*s + w - 10 = 2*r, 5*s = 3*r + 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1470*b**2 - 120*b - 1461*b**2 + 2932*b**2 - 28.\nAnswer: b**2 - 120*b - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 646, 1131, 1610, 2083, 2550, 3011, 3466?\n\"Answer: -3*t**2 + 494*t + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2. Let s = -28848 + 28848. Let l(k) be the third derivative of 0*k**4 - 25*k**2 - 2\/5*k**5 + 0*k**3 + s*k + 0. Give l(n(w)).\nAnswer: -216*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/245*(5 + 2). Which is the nearest to -1.6? (a) -0.5 (b) 2 (c) -1 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 2*w - 1. Let l be n(3). Let u(m) = 11*m + 118. Let i be u(-12). Let f be ((-20)\/i)\/(2*7\/196). Solve 2*v - f = -l*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*y*z**5 - 4*y*z - 106*z**5 - 2*z**3 + 5654*z**2 wrt z.\nAnswer: -240*y*z**2 - 6360*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4*h + 32, -6*t = -3*t + 15. Solve -2*u - 5*f + f = -6, -2*u - h*f + 7 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5*y + 16, 3*y + 29 = d + 9. Calculate the remainder when 51 is divided by d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2))**(3\/10)\/(c**(1\/5)\/c)**(-15\/7))**(-6\/11))**(-48) assuming c is positive.\nAnswer: c**(-23328\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*s + 659 = -421*s - 386*s - 320 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29\/24189 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21832467 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -164 - -167. What is the third smallest value in 0.4, h, -5, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l + 0*l)*(-1073*l + 144*l - 131*l)*(4*l**2 - 4*l**2 - 2*l**3).\nAnswer: 2120*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 2*o - 4, -21*o + 13 = -n - 26*o. Let k(l) = -n*l + l - 2*l + l. Let t(b) = 6*b. Calculate k(t(a)).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822553 is divided by 68543.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n*n**(1\/7)*n)\/n*n)\/n**(-6))\/((n*(n**3\/n*n)\/n)\/n**(2\/23)) assuming n is positive.\nAnswer: n**(1164\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 12 = 3*x. Suppose 3*a - 45 = p + x*p, 5*p - 30 = -2*a. Suppose -2*s = -z + s - a, 10 = 3*z + 2*s. Solve z = 2*r + 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.3 and -406.7?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4785, 38124, 128773, 305436, 596817, 1031620, 1638549?\nAnswer: 2446308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 3)*(-7*w - 7 + 7 + (-1 - 1 + 3)*(0*w - 3*w + 2*w)) to the form g*w + y and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*r**2 + 25*r - 153.\nAnswer: -4*r + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (81 - 0 - (-1134 + 1141))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 91?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12565.\nAnswer: 5, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, 2, -5, 3192, -3 in decreasing order.\nAnswer: 3192, 10, 2, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1631105 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/14*7072\/(-4420) - (0 - -3).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -34. Let w be (-12)\/(-8) - (-2)\/v. Let y = -7 + 12. Which is the nearest to 0.2? (a) -2\/7 (b) w (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2 - 24. Let t(n) = 4*n**2 + 23. Let s(y) = -5*p(y) - 4*t(y). Is 9 a factor of s(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8872 is divided by 1668.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + m**2 - 1 - m + m + m**2 + (-3 + 1 + 4)*(-2*m**2 + 2*m**2 + m**2) + (5*m - 3*m + 0*m)*(5 + 4*m - 5) + 6*m**2 - 3*m**2 - 2*m**2.\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 92399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 21341230?\nAnswer: 21341240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5537 divided by -3\nAnswer: -5537\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f - 21*f - 618336 = -55*f. List the prime factors of f.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from npvnb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3*(-2 - (-185)\/(-20)). Let b(z) = z**2 - 49*z - 209. Let l be b(-4). Suppose -3\/2*q - t*q**2 - 3\/4*q**4 - l*q**3 + 0 = 0. What is q?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3425429, -3425428, -3425427, -3425426, -3425425, -3425424?\nAnswer: -3425423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17935 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 257 (b) -4 (c) 0.1 (d) -3 (e) 1 (f) -1\/11 (g) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122688.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 20076987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11146535 + 5?\nAnswer: 11146542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 + -70. Let p(f) = -f**2 + 7*f - 5. Let z be p(6). Let l be (z + 1)\/((-4)\/(-10)). What is the biggest value in a, l, -2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/23, 6, 2, 3, 1?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33.49 + -36.04. Is t greater than or equal to 0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 188 = 4*r + 3*v, 0 = 2*v - 8. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 11*t**2 + 9*t - 5. Let v be j(-10). Find the second derivative of u + u**5 + v*u**4 - 5*u**4 wrt u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 18*y - 6952 = 169*y for y.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (2 - (-19 - -28)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d*o**2*v**2 - 90*d*o**2 - 4*d*o*v**2 - 2*d*o*v + 2*d*o - 12434*o**2*v**2 - 12324*o*v - o + 9 wrt o?\nAnswer: 6*d*v**2 - 180*d - 24868*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1525 divided by 220.\nAnswer: 305\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/(-135) - 16\/(-9). Let f be 1\/(-2)*(-2 + -2). Let b = -4 + f. Put -4, n, b in increasing order.\nAnswer: -4, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 469.8 in 1, 5\/3, 3\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 4*h - 832 = 0. Suppose -q - 208 = -n, 2*n + 8*q - h = 3*q. Calculate the greatest common factor of n and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226065.93 microseconds in minutes?\nAnswer: 0.0037677655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 3 = -3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h**(1\/2)\/h*h*h)))**16\/(h**3*(h*h**(-4))\/h) assuming h is positive.\nAnswer: h**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*t + 12. Let d be ((-1)\/t)\/(4\/144). What is the remainder when 411\/d - (-1)\/6 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 7*h + 5, h - 2073 = -m. Is 57 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*n = -32. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/11)\/s*s\/s**3*(s\/(s*s**(1\/4)))**(-45))**(-23))**(21\/8) assuming s is positive.\nAnswer: s**(-179193\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78706 and 24679.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**2 + 2 + 5 - 7*d - 5 + d**3 - 4351*d**4 + 4349*d**4 in the form l*d**3 + u + c*d**2 + f*d + q*d**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**4 + 15944*u**3 + 668040*u**2 + 2480864*u + 2417104 = 0 for u.\nAnswer: -15902, -38, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200070.\nAnswer: 2, 3, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1467429047 to the nearest integer?\nAnswer: 38307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 (base 4) in base 6?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k + 6. Let b(t) = -10*t**3 + t. Let f be b(-1). Let z(i) = 11*i - 13. What is f*d(x) + 4*z(x)?\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2098 divided by 1\nAnswer: -2098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 at least as big as 12808?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000110011 - -1?\nAnswer: 10000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 548, 955, 1362, 1769, 2176?\n\"Answer: 407*u + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 413, 1122, 3059, 6842, 13089?\n\"Answer: 103*i**3 - 4*i**2 + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 44*j**2 + 188*j - 1936. Give b(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1940 + -1937. Solve 3*x - 18 = -p*z, 2*x + 8*z - 13*z = 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 5*y**2 - 5*y + 5. Let n = -7 - -11. Let r be v(n). Does 3 divide (r*-5)\/(-3 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**2 + b + 2. Let k be l(2). Suppose k = 2*x + 4. Is x less than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/17 (b) 1 (c) -803 (d) 0 (e) -2 (f) 0.4 (g) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 48926724?\nAnswer: 48926724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/48)\/(2\/(-16)). Let l = 64.16 + 7.24. Let g = 71.3 - l. Which is the second smallest value? (a) 0.5 (b) h (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j + 3*a + 456 = -a - 0*a, 3*a = 2*j - 453 + 111 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kg when two letters picked without replacement from {k: 2, l: 3, r: 2, a: 1, g: 12}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2596430 divided by 20.\nAnswer: 259643\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -0.4 (c) -0.19 (d) 0.33 (e) -0.1 (f) 2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (4 - -1) - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-7964) - -6) + (-12)\/2. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-8 - (1 - 0 - -1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35404 is divided by 2359.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, t: 2, x: 1, d: 2, e: 7, k: 6}. What is prob of picking 1 t and 1 e?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -4*m + 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*s + 49, 7 - 63 = 2*h + 4*s. Suppose 24 = -5*u - 1. What are the prime factors of (u + 7)\/((-4)\/h)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*3*(-6)\/(-108).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/2*w**3 + 3\/4*w**4 + 1\/4*w**5 + 21\/4*w - 5\/2*w**2 - 9\/4 = 0. What is w?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a kilometer in meters?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 11011?\nAnswer: -11002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -119*j - 14. Let z(f) = 40*f + 5. Determine 5*t(k) + 14*z(k).\nAnswer: -35*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28071 = -21*k - 27525 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 201 = 3*v + 771, -2*o - 3*v = -405. Suppose 0*w + 310 = 3*p - 5*w, o = 2*p - w. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2 + 84\/136. Let o = -24211 + 24211.5. Let p = -0.2 + 0. What is the fourth smallest value in f, p, o, -0.11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 439554 divided by 5\nAnswer: 439554\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 372390*o**2*u*z**3 + 2*o*u*z**2 + 3151*o*z**3 - 9*u*z**2 wrt o?\nAnswer: 744780*u*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u - 30 = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -118 + 120. Suppose -103 - 152 = -5*t. Solve -4*m + 5*w = -10 + t, -5*m + l*w - 30 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -14. Suppose -i*r = -5*r. Let k = 10 - r. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1971, 8008, 18071, 32160, 50275, 72416?\n\"Answer: 2013*s**2 - 2*s - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*f**3 - 3*f**4 - f**4 + 170*f - 172*f in the form x*f**2 + t + o*f**4 + j*f**3 + a*f and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from cpiidiiaippici.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 13*y - 3*y + 4*y**3 + 5 - y**3. Let o(r) = -2*r**3 - 7*r - 3. Calculate -5*h(p) - 8*o(p).\nAnswer: p**3 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**3 - 3*h**2 - h - 3. Let o(c) be the first derivative of -c**4 - 4*c**3\/3 - c**2\/2 - 4*c + 11. Let l(g) = 5*i(g) - 4*o(g). Determine l(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.5, 2\/1523, 51128 in increasing order.\nAnswer: 2\/1523, 0.5, 5, 51128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15241866 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 6*u + 780 = 564. Solve 3*j + 2*d - 9 = 0, -4*j - 5*d = -u + 24 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o. Let k be (-2 + 1)*(9 + -8). Let b(c) = -c. Let n(m) = k*d(m) + 6*b(m). Let f(x) = -2*x**2. What is n(f(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67958\/10 - (-10)\/50 - 4.\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(891) - 2*sqrt(891)) - sqrt(891)) + sqrt(891) + (sqrt(891) - 4*(sqrt(891)*1 - sqrt(891))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifun when four letters picked without replacement from dufin?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -359, -974, -1589?\n\"Answer: -615*j + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.105284?\nAnswer: 0.105284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 l, and 1 w when four letters picked without replacement from lzuzmwzz.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (11 - (2 + -4 - -6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 3:44 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 6*c + 5. Let g(x) = 2*x**2 + 5*x - 4. Let m(f) = -2*g(f) - 3*y(f). Let b be m(7). What is the nearest to -1 in 1, 3\/11, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.283915 rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p + 14. Let g be y(-6). Let f(c) = 7*c**2 + 22*c + 2. Let m be f(g). Suppose 3*t + 8 = m. Solve -t - 3 = -3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -885*w + 22290435 + 9925335. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38077 and 169377?\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 66, 75, 84, 93, 102?\n\"Answer: 9*b + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(243)\/sqrt(9) - sqrt(36)\/(sqrt(60)\/sqrt(5)))*-5.\nAnswer: 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 39 - 52e?\nAnswer: -4e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 6. Suppose -z + d + 0*d = 218, z + 210 = 3*d. Let o be 2\/12 + z\/36. Give m(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 2. Let c(n) = -5*n + 5. Let u be c(f). What is the second smallest value in u, -0.1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40279 = -22*v + 13335. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssbssbdbsb. What is prob of sequence ds?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 242*i + 741*i = 4000, 0 = -5*d + 2*i + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 6*t + 6. Let o be h(5). Suppose -3*j + o = 2. List the prime factors of 4\/j*(-108)\/(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 19*n**2. Let i(y) = 10*y**2 - 61*y + 4. Let t be i(8). Let d(m) = -160 - t + 5*m + 316. Calculate d(w(r)).\nAnswer: 95*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**6\/720 - 4*y**3\/3 + 2. Let i(o) be the third derivative of x(o). Solve i(m) = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/1*6\/(-18). Suppose 0 = -5*x - j*x + 10. Suppose -4*o**4 + 7*o**3 - o - 6*o**3 - 4*o**x - o**5 - 7*o**3 = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*49734872.\nAnswer: -149204616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21*60\/735)\/((-2)\/35).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3, 1\/6, 9\/4, 0.03?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4188665796368 - -14.\nAnswer: 4188665796382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 + 82*x + 45. Give i(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 4*r**4 + 1257*r**3 + 2*r**2 + 1253*r**3 - 2499*r**3 as i*r**4 + l + j*r**2 + y*r + z*r**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.41 + 0.01. Let p = -1157\/11 - -105. Let g = 1 + 3. Which is the closest to 1? (a) g (b) h (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 20870, 29, 18 in decreasing order.\nAnswer: 20870, 29, 18, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 489 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**4\/4 - 2*c**3 + 3*c**2 + c + 9. Let w be p(5). Suppose -5*o = -w - 4. Solve a + 5*x - 13 = 0, a + o*a + x + 3 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/((n**(-2\/17)*n)\/n*n)*n**0*n**(-8)\/((n*(n**(-4\/9)\/n*n)\/n)\/n*n) assuming n is positive.\nAnswer: n**(-985\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -103270.0658 rounded to the nearest ten?\nAnswer: -103270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -25 - -17 - (-26)\/2. Solve 22 = 5*c - 3*r, 0 = a*c - 4*r - 36 + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2355921.101 rounded to the nearest 100?\nAnswer: 2355900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (0 - 7 - -7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4789, 5028, 5267, 5506, 5745, 5984?\n\"Answer: 239*h + 4550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 616815 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 3*d**4\/2 - 2*d. Let j(z) = 16673 + 25*z - 2*z**2 - 25*z - 16673. Determine v(j(q)).\nAnswer: 72*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 192\/120*(-5)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 649 = -1112. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 9*t - 1016 = 0. Let b = -116 + t. What is the remainder when 18 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33\/4 + 163\/8*v + 5\/8*v**2.\nAnswer: (v + 33)*(5*v - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103332 is divided by 7380?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 135 and 8244.\nAnswer: 123660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*u = 20, -x = 3*u - 10 - 5. Which is the smallest value? (a) 5 (b) -1\/10 (c) x (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 154 + -19. Suppose -2*u = 6, 0 = -2*a - u + 36 + q. Calculate the remainder when a is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 12. Let n be 2 - (-3 - (-3 - x)). Solve -3*y - 4 = -n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 844?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbf. Give prob of picking 1 b and 1 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.3. Let o = 0.8 + -0.65. Let r = 5.15 - o. What is the nearest to q in 1, r, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/(51\/(-17)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6258 and 98654092.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 8:49 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2626, 5098, 7396, 9514, 11446, 13186?\nAnswer: 14728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -10\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3590)\/(-22) - (-20)\/(-110)) + 2. Suppose 0 = 8*r - 1109 + g. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 2*u - 6*u)*(-4 + 5 + 4)*(-1 + 10 + 15)*(-1 + 0 - 1).\nAnswer: 2400*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 51, 61, 71, 81, 91?\n\"Answer: 10*f + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -7. What is the smallest common multiple of (-2 + 0)\/(4\/(-10)) and (-2 - -1)*-3 - b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from gwe?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -2*m**3\/3 - 7*m**2\/2 + 10*m. Let a(d) = 2 - 3*d - 2*d + d + 5*d. Calculate 21*a(p) + 6*b(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 2*a + 3 - 13 = 0, 0 = -5*c - 5*a - 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20573 - -20605. Calculate the remainder when 173 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 5*g**2 - 25*g - 18. Let w be j(4). Calculate the greatest common divisor of 702 and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 277397455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 s when two letters picked without replacement from {i: 4, r: 1, a: 4, s: 2, u: 3, p: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 17861*g**2 - 178499*g - 196361.\nAnswer: -(g - 17851)*(g - 11)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 869?\nAnswer: 86.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 5*q = -5, 3*g + 0*q - 1 = 2*q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + -22. Is 47 a factor of u\/4*-2*5 + -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1008, -1987, -2906, -3735, -4444, -5003, -5382?\nAnswer: -5551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.270283mg in nanograms?\nAnswer: 2270283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 2*c + 3*c)*(-3*c - 4*c + 5*c) + 0*c**2 + 4*c**2 - 2*c**2 + (-2 + 2 + 2*c)*(4*c - 3*c + 0*c) - 2*c**2 + 4*c**2 - c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -o. Let z = 5 + o. Solve 0 = w + 4*w - z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 689?\nAnswer: -206.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*j**5 - 7*j**5 + 7*j**5 + (0*j**2 + j**2 - 2*j**2)*(22*j**3 - 16*j**2 + 16*j**2).\nAnswer: -8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 892 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 10*j**2 + 24*j + 12. What is p(-8)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*5*sqrt(108) + sqrt(108))\/(6*sqrt(27)\/sqrt(3) + sqrt(9))*-6 + -2.\nAnswer: -2 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w**2 + 13*w - 3. Let r(z) = -z**2 + z. Let s(q) = -4*r(q) + t(q). Let c be s(8). Suppose -c*p + 316 = -p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18244 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*d**4 - 4*d**2 + 6658*d - 3*d**5 - 6706*d - 12 - 71*d**2 - 57*d**3.\nAnswer: -3*(d + 1)**3*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 9:33 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20128 - 5871. Let x = k + -5257. Round x to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 5*u - 6*u - 4, -7*v - u = 4. Solve -11*d + 14*d = 5*b + 24, -4*b + d - 15 = v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0077 + 0.0418. Let g = a - 570.2495. What is g rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25718.672 - 25756. What is n rounded to one dp?\nAnswer: -37.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*y**4 + 26*y**4 - 3*y**3 - 69*y**4 + 45*y**4 + 1 - 3*y**2 in the form b + k*y**4 + d*y**2 + c*y**3 + l*y and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y + 6. Let h(d) = 2*d + 3. Let u(t) = -4*h(t) + 5*q(t). Calculate u(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2. Let r be 2 + 0 + 1 + -33. Let o = -20 - r. Let g(s) = 107 - o*s - 107. Give g(w(k)).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 7 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -0.107.\nAnswer: -0.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 69091 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*i + 12 = 0. Let a = i - 2. Let g = -14 + 38. Solve -4*m + v = 16, 0 = -5*m - 3*v + a - g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 - ((-10242)\/9 + -3). Suppose -21*i - n = -4129. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2382 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 19*n**2 + 3*n - 64. Calculate j(19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -14*m**2 - 40*m - 17. Let y(g) = -10*g**2 - 43*g - 16. Give -3*b(q) + 4*y(q).\nAnswer: 2*q**2 - 52*q - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -61\/31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 5. Let l = 17 - h. Let j = -9 + l. Solve 2*t - 4*r + 6 = 0, 3*r + j = -2*t + 18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 9548*j**2 + 31*j - 155. Let f be t(5). Round f to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -514*b + 4840150*b**2 + 514*b - 4840152*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1177880 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -108*n. Let d(t) = 621*t. Give d(u(b)).\nAnswer: -67068*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, 96, 5 in descending order.\nAnswer: 96, 6, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 139, 679, 2169, 5083, 9895?\n\"Answer: 79*m**3 + m**2 - 16*m + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2498 - 1?\nAnswer: 2497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-12 - -8 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 2 + 3*1. Let b(c) = -98999 + 0*c**2 + 99003 - 4*c + c**2. Determine b(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*p**3 - 2)*(-31 - 1546*p + 31).\nAnswer: -3092*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -8*u + 10. Suppose -u*k + 36 = z, -2*z + 6 = -2*k - 42. Suppose z = -0*s + 4*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -7491.09.\nAnswer: -2996.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -975, -94, -1 in decreasing order.\nAnswer: 0, -1, -94, -975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 51954671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*g - 18 = 0, k + 2*k + 2*g + 14 = 0. Let a = k - -4. Let z be (-792)\/(-378) + (-4)\/42. Solve -z*s - a = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*b - 141 = 0, -564 = -3*j - j + 3*b. Does 47 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/14*105\/(-90).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 4:03 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 69.2886 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzavooyv. What is prob of sequence oz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-69)\/36 + 297\/132. What is the closest to -0.03 in 0.2, n, -15.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o - 31. Determine d(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 415612 - 175941. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p - 3. Suppose 4*f + 17 = -i - 7, i = -5*f - 29. Let s be f\/(1 - -4) - 1. Give u(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (7 + 7) - 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 22021, 15, 2.\nAnswer: -1, 2, 4, 15, 22021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 3:38 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186 = -5*g + v, -336 = 4*g - 8*v + 452 - 668 for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.79776t to grams.\nAnswer: 17797760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -4*s - 2. Suppose -s = -w + 17. Suppose -4*v - 3*t + 81 = 0, w + 2 = -4*t. Is v a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14\/55 + 464\/2255. Let t = 1 + 0. Is c >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -516678, -516763, -516904, -517101, -517354?\n\"Answer: -28*m**2 - m - 516649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/18, 0.2, -0.3.\nAnswer: -0.3, -1\/18, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 325410660 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: Let i(m) = 27*m - 12. Let n be 6\/(-30) - (96\/(-10))\/3. List the prime factors of i(n).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619205265.\nAnswer: 3, 5, 7, 1965731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - -85) + (-8 - -4 - (8 + -1)) - 5.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**5 - 173*d**4 - 1451*d**3 + 4133*d**2 + 5412*d = 0.\nAnswer: -164, -11, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 10. Which is the closest to p? (a) 5 (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.1, 3451, 1\/2 in descending order.\nAnswer: 3451, 1, 1\/2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5491*a = -5565*a + 48623846. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -160624b (base 15) to base 6\nAnswer: -1330124142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r - 47 + 222 = -45 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 27 - 39 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7250 + -6842. Calculate the remainder when y is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 1. Let w(s) = 4*s. Let p(y) = 2*j(y) + w(y). Let n = -10 + 14. What is the common denominator of p(n) and -34\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*l - 2*l + 26*l - 8*l - 2*l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117 and 6917406?\nAnswer: 269778834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 + 34*w - 4*w**3 + 3*w**3 + 3*w**2 - 4 + 5*w**3 - 21*w in the form a*w + k + m*w**2 + r*w**3 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -188 - 4*x + 188. Let g(j) = j + 1. Let q(o) = o**2 - o - 1. Let t(h) = -g(h) - q(h). Give t(y(z)).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/34)\/((-5)\/8)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2. Let g(b) = -222*b**2. Give g(o(x)).\nAnswer: -222*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 6:44 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*-1*-1 + -5)**2 - (-3 + (sqrt(325) + -1 + 1 + sqrt(325) + sqrt(325))**2).\nAnswer: -2572 - 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1379 and 53792623?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 = -3*s, 0 = 2*s - 4*g - 62 + 72. Sort -134, s, -9 in increasing order.\nAnswer: -134, -9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005309884 rounded to 7 dps?\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**2 + 19*h - 58. Let z be r(4). Let t = z - -55. Is 17\/2 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/6)\/(3\/(-2)). Let b be k\/8 + 169\/52. Solve 2*i - b - 7 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 10, -4, -5, -1726.\nAnswer: -1726, -5, -4, 10, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 7191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -821*a + 44460 = 170*a + 10796 - 25796 for a.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-514)\/(-3) - (-3)\/(9\/2). Suppose -4*j = -4*t + 136, 4*t + 6*j - d = j. What is the first derivative of -7*v + 12*v + t + 4*v wrt v?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1752475905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfccffctttff. Give prob of sequence tf.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -613 divided by -5\nAnswer: 613\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 11076?\nAnswer: 99684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/11 greater than -74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2172789585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0971894 to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 1 - 24. Let r be (-22 + -3)\/c*1. Suppose r*i = -a + 528, 3*i - i - 213 = -a. Calculate the greatest common factor of 21 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 89\/2 in 0.1, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbb when three letters picked without replacement from igbbkggibgi?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2 - 127*y + 250 = 0. What is y?\nAnswer: 2, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**5\/20 - 7*n**4\/6 + 2*n**3 - n**2\/2 - 139*n. What is o(13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 4*u**2 - 2*u. Suppose 5*f + 18 = 2*a + 5, 1 = -2*f + 5*a. Calculate the remainder when (-4 - (-96)\/36) + (728\/6)\/4 is divided by o(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 61*y**2 - 167*y + 324. What is the remainder when 473 is divided by q(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**3*r**2 - c**3*r*v - 11*c**3*v - 253*c**3 - 36674*c*r**2*v - 4*c*r*v + 14*r**2 + 3*r wrt r?\nAnswer: -4*c**3 - 73348*c*v + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*u**2 + 84 - 4*u**4 + 106*u**3 - 307 + 6*u**4 - 108*u**3 as m*u + j*u**2 + g + f*u**4 + w*u**3 and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 357767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25246*p**5 + p**4 + 76953*p**2.\nAnswer: -1514760*p**2 + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 654 and -2?\nAnswer: -1308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1565489.1 hours?\nAnswer: 9318.3875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -25, 1, -29, -6 in ascending order.\nAnswer: -29, -25, -6, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -7. Suppose -8 = -4*m - 5*u + u, 3*u + a = -m. Suppose 2*c = z - 11, 7*c + 12 = z + m*c. What is the remainder when 24 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136498052 divided by 259502\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03931 - 4?\nAnswer: -4.03931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/((n**(-38)*n)\/n))\/n)**(4\/5)\/(n**27)**(-5\/3) assuming n is positive.\nAnswer: n**(381\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403 = 5*l + 93. Calculate the remainder when l is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 6*w + 1. Let z be d(7). Let h(i) = -i**3 - 5*i**2 + 4*i - 7. Let r be h(z). Solve 2*x = x + r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 2590 = 7*t. Calculate the highest common divisor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -147 - -46?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -17 - -20 - (-4)\/2. Let z(q) be the third derivative of 1\/3*q**3 + 5\/12*q**4 - q**2 + 0 + 2\/15*q**m + 0*q. Factor z(c).\nAnswer: 2*(c + 1)*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-26)*182\/(-84).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 - -128. Calculate the least common multiple of s and 40.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -39. Let y(g) be the third derivative of g**6\/24 - g**5\/30 + g**3\/6 + 2*g**2. Give y(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2725815 divided by 1.\nAnswer: -2725815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13949442 divided by -186?\nAnswer: 74997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 66, -10, 2 in descending order.\nAnswer: 66, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + 1 - 1)*(-1 + 3 + 0)*(2 - 3*b - 3 + 0) in the form v*b**2 + f*b + j and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0755 - -80.9755. Let q = 86 - y. Let t = -5 + q. Do t and 0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**5\/20 - 23*i**3\/6 - 13*i**2\/2 - 11*i - 38. Let m(f) be the first derivative of s(f). Differentiate m(g) with respect to g.\nAnswer: 3*g**2 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 minus 28180?\nAnswer: -28180.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2210 + -2212. Let x = 0.04 + 1.96. Let y = x + -1.4. Which is the second smallest value? (a) y (b) k (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 37 + -1246?\nAnswer: -1208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -2\/981?\nAnswer: -2\/981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = t + 4. What is the highest common factor of t and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54813 is divided by 180?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 + -55 - -32) + 2 + 109 + 5 + -10.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(2057) - (sqrt(2057) - -2*-1*sqrt(2057))) + sqrt(2057) + -1 + 2)*-4 + 2 + 2)*6)**2.\nAnswer: 10663488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (18 + (6 - 16) - 1) + (-2 - 36)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -24*f**2 + 75*f - 2. Let x(q) = 8*q**2. What is b(x(i))?\nAnswer: -1536*i**4 + 600*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = -18*x + 461. Calculate the remainder when x is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2912705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -378.99999827 + 379. Round c to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -362, -1345, -3262, -6425, -11146?\nAnswer: -17737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 divided by -1042631.\nAnswer: -86\/1042631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**6\/660 - 29*l**5\/330 - 68*l**4\/33 - 832*l**3\/33 + l**2 - 78*l. Factor q(r).\nAnswer: -2*(r + 8)**2*(r + 13)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-8) - 120\/16)*(-4)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, 8, 45, -0.2, 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 + 578*v\/3 - 192.\nAnswer: -2*(v - 288)*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1 + 3 - 6*t + 2. Let z(y) = -7*y + 7. Calculate 6*q(x) - 5*z(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 20, 0, -101, -251 in decreasing order.\nAnswer: 20, 2, 0, -1, -101, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m. Let b(w) be the third derivative of -w**4\/6 - 6*w**2 + 8*w. What is b(y(c))?\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 17*u + 2. Let s be j(16). Let c be 13624\/6 - 12\/s. Round c to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 5:06 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 10:25 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 450 - 437. Which is the closest to 1? (a) 2 (b) 0.5 (c) -4 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u + 0 = -5*k + 36 + 84, -6*k - 14 = -u - 0*u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/29)\/a**(-5))**(-1\/40) assuming a is positive.\nAnswer: a**(-147\/1160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -25306\/48795 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l - 16. Let s be o(9). Suppose -2*a + 2*w + 6 = 0, -2*a = -a + 5*w - 9. Suppose -j = b - 12, s*j + 10 - 4 = a*b. Which is bigger: 2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2397 and 900.\nAnswer: 719100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 171.827 and 0.4.\nAnswer: 68.7308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 3\/8 (c) 49 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*u - 24*u = -54 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxlxlcblxlllxgclclgc. What is prob of picking 1 c, 1 g, and 1 b?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**5 - g**4 + 18720*g**3 + 1129*g**2 + g + 1.\nAnswer: 60*g**2 - 24*g + 112320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 49 = -4*m, t = 4*m + 3*t + 50 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((84 - 11) + 5 + (-39 - -22))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2077c (base 14) to base 13\nAnswer: 29852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - j**2 + 2*j. Let s be r(-2). Let g = 13 - s. Suppose 5*y + 0*d + d = 23, -4*y - 3*d = -14. Solve y*c - 7 = g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -505, -6096, -11693, -17296, -22905, -28520?\n\"Answer: -3*c**2 - 5582*c + 5080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -12. Sort o, 0.4, 1\/6 in decreasing order.\nAnswer: 0.4, 1\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003084421074 rounded to five dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 + 95 - 2928\/184?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -4, 2, -99, 1 in increasing order.\nAnswer: -99, -30, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 192156117313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13436 is divided by 1234.\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-104)\/(-338))\/(49\/((-1911)\/18))*3\/(-100)?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 5. Let k = 38 - 18. Let p = k + -25. Which is the third biggest value? (a) -3 (b) p (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 3)\/((-12)\/28). Suppose 2*p - 10 = -4*q + 10, p - 6 = -q. Suppose p*z - 3 = x. Solve z*i - 18 = 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459240 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10428?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b = -4*j + 285, 5*j - 357 = -4*b. Suppose 0 = -4*u - h + j, 3*h = -0*u + 5*u - 82. Suppose -882 = u*v - 2837. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, -5, -0.149, -155, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 155 = -0*v. Suppose -104 = -2*h - 2*t, -2*h + 133 = 3*t + v. What is the greatest common factor of 81 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 3*p + 2*p. Suppose -r + 36 = 2*w, w + p = r - 39. Is r a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + (5 - 9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (88\/(-330))\/(8\/(-6)). What is the closest to 4\/3 in h, -4, 1\/12?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24486 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8984 divided by -1123\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 182, 1\/4, -172391?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12903705+-649.7\nAnswer: 12903055.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 383 = p - 532. Suppose 13*r = 138 + p. Let s = r + -7. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6692381?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.8 + 266.2. Let d = -713 + l. Let m = d + 438.17. Round m to 1 decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1853, 238 in ascending order.\nAnswer: 3, 238, 1853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*b + 7, 3*b + 2*b = -2*c + 5. Let x(t) = t**3 - 3*t**2 + t. Is x(b) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1\/4, 0, 1, -4 in decreasing order.\nAnswer: 1, 0, -1\/4, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 48\/2 - (-6)\/(-27)*27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 2*44\/(-96). Let a = -0.18 + -0.12. Let b = 0.3 - -0.2. Sort m, b, a in decreasing order.\nAnswer: b, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u + 2*u + u - 1 + 1 - 3*u + (2 + 3 - 4)*(-3*u + u + u) + u + u - 4*u + (0*u - 3*u + 2*u)*(-1 + 4 + 1).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 177, 242, 343, 486, 677, 922, 1227?\nAnswer: 1598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -8*a - 160. What is the least common multiple of 60\/25*a\/(-12) and 34?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + 0 + -2 - -3. Suppose s*u + 3*k = 3*u - 24, -k = 0. Let i(c) = -c**2 + 5*c - 5. Let d(t) = 2*t**2 - 11*t + 11. Calculate u*d(y) - 13*i(y).\nAnswer: y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209 + 217 + 5*f - 426.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 6 = -3*c. Let g = 9 - c. What is the units digit of (-9)\/(-2 + 10\/g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*x + 3*x = 5, -2*f + 2 = 2*x. Solve 0 = -f*y + 3*y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (-39)\/6*2. Let p be (m\/9)\/((-4)\/(-12)). Suppose 13*a - 28*a = -14*a. Solve -p = -a*r + r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 42 = 4*m, 3*m - 3*f = -f + 42. Let t = m + -12. Suppose -5*d = -5*s - 15, s - 12 = -t*s - 2*d. Put 1, s, 0, 4 in descending order.\nAnswer: 4, s, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -1\/1440*u**6 + 1\/36*u**3 - 5\/288*u**4 + 1\/180*u**5 + 0 + 0*u + 10*u**2. Find v such that n(v) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 - 54*f + 28. Determine z(-25).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -5*c**4\/12 + c**3 + 3*c**2\/2 - 305*c. Let z(o) = 9*o**2 - 11*o - 5. Determine 11*k(f) + 6*z(f).\nAnswer: -f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15789010 by 185.\nAnswer: -85346","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 2*i**2 - i + 28. Let s be c(0). Let b = s + -26. Let q be (-3)\/9 + (-50)\/(-6). Solve -5*k - b = 5*h + q, 4*k + 5*h = -9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01925 times 0.035\nAnswer: 0.00067375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1359 and -1360 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 53. Let i = p + -28. Let o = i + -4. What is the greatest common divisor of o and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(567)*-2 + sqrt(567)*-2 + -2 + 3*sqrt(567) + -3 + 1)**2.\nAnswer: 72*sqrt(7) + 583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20357473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 13)*(-7 - -8 - -2). Let y = n - -46. Calculate the smallest common multiple of 72 and y.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -28693, -57384, -86067, -114742?\n\"Answer: 4*k**2 - 28703*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 28\/4 + -4. Let j(n) = 8*n - 1. Let g(o) = o - 3*o + o. Let u(k) = b*j(k) + 5*g(k). Find the first derivative of u(d) wrt d.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*(-624)\/(-390).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -t + 7. Let u = t - 9. Let m = u - -9. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 1\/2*a**2 + 0*a**3 - 41\/21*a**7 + 7\/12*a**4 + 0 + 56*a + 0*a**6 + 0*a**5. What is the third derivative of z(w) wrt w?\nAnswer: -4920*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-42) + 1147\/(-3885)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 1\/6, 14, -117, -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s**1)\/(s*s**(-1\/4)*s))\/(s\/(((s**0*s)\/s)\/s)*s)**(-1\/17))**(-15) assuming s is positive.\nAnswer: s**(-1455\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w + 6, 6 = 2*r - 2*w. Let z(c) = c**3 + 7*c**2 + 6*c + 4. Let o be z(-6). Suppose r*g - o*g = -2*n - 6, 0 = 2*g - 10. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28882181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-63))\/(405\/945). Let q = -229\/875 - 3\/125. Which is the nearest to -7\/4? (a) 4 (b) q (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 10*x**2 + x + 12. Let w be m(-10). Suppose a - 71 = -w*c, -2*c - 3*c + 205 = -3*a. Is c a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34771214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 507.0232 micrograms to nanograms.\nAnswer: 507023.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (-120)\/(-30) - 16\/2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -81 (c) -5 (d) 0.4 (e) 154\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 13. Let r(m) = -c + 0 + 0. Let b(q) = -q + 5. Determine -b(v) - 4*r(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -636936 to the nearest one hundred.\nAnswer: -636900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28\/5 in -1\/80, -1, -0.1, -4?\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4 = -3*z, 4*b + 4*z - 168 = 0. Let n = b + 43. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 20*k**2 - 11*k - 7. Is h(-7) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 = -0*y. Calculate the smallest common multiple of y and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 - 89596\nAnswer: -89572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 27\/2 (b) 5 (c) -1\/6 (d) -2 (e) 6.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2804 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, z: 1}. What is prob of picking 2 z and 1 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, l: 1, s: 1}. What is prob of picking 1 l and 1 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16086 by -6.\nAnswer: 2681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -6, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 44*i**3 - 3*i**2 + 19*i - 1. What is the hundreds digit of s(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3933 (b) -3\/7 (c) 1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 1\/4 (c) -168\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -54821, -49819, -44817, -39815, -34813?\n\"Answer: 5002*l - 59823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -6 - 4) + (21 + -48 - (-35 - -74)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5304\/(-3432)*4*2\/(-68)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172162.\nAnswer: 2, 59, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/296 (b) -7\/6 (c) 76 (d) 3\/5 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23464 is divided by 1116?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gan when three letters picked without replacement from zzzagagnaaaaaaaza.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xyysssysxxs. Give prob of picking 1 y and 2 x.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*(60\/(-9))\/4. Sort 2, m, -3, 0.\nAnswer: -3, 0, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 - 469 + 1082 = 176*a - 1302 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 9:00 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(3*(-10)\/(-105)). Find the second derivative of h*a**5 + 0*a - 271*a**4 + 271*a**4 + 2*a wrt a.\nAnswer: 280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 8:06 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and -1.17.\nAnswer: 0.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*p + 4, -19 + 20 = -k - p. Solve -2*n + k*n - 6 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-12)*(2 - -2). Suppose 26 = b*g + 8. Suppose i - 4 = -t, g*t + 2*i - 11 = 3*t. Solve 0 = 4*h - 5*p - 30, h + 3*p = -t*h + 14 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 6*v - 5. Let l = 4 + v. What is the closest to 2\/3 in l, -2\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 5*f**2 + 6*f + 2. Let g be (-3 - (-16)\/4)*-3. Let v(w) = w**3 + 3*w**2 + 2*w. Let t be v(g). Let c be u(t). Solve c*p = -0*p + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**3 + 12*d**3 + 1 - 1.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 - 1 + 1 + (59943*b + 594188 - 594188)*(-2*b + 4*b + 0*b) as g*b**2 + o*b + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/((-48)\/224)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 - 12*t**2 - 15*t + 10. Let x be y(7). Solve -4*i = x + 13 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*s + 50*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 12. Let z be r(-12). Solve -3*i + 12 + 3 = z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d + 0 + 0)*(-21369 + 247 - 6213 + 6842) to the form x*d + i and give x.\nAnswer: -40986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2\/3 - 9076*n\/3 - 469792\/3.\nAnswer: -4*(n + 53)*(n + 2216)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9840.085ml in litres?\nAnswer: 9.840085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39083, 38758, 38225, 37490, 36559?\nAnswer: 35438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r**1)\/r*r*r*r\/r**(-5\/3))**(-9) assuming r is positive.\nAnswer: r**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.034 * -0.039\nAnswer: -0.001326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 40*b - 45. Determine v(-41).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 - 50*n**3 - 222*n**2 - 286*n - 116.\nAnswer: 2*(n - 29)*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*0.45.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jlftltljtj. Give prob of picking 1 f and 2 t.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -1\/5, -12, -0.054, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7*f + 6. Let x be d(-2). Let g be 0\/(x\/2 + 3). Suppose v - 40 - 145 = g. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000054698453 to 7 dps.\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 0*s - 1\/60*s**5 + 0 - 7\/24*s**4 + 17\/6*s**3 + 105*s**2. Determine i(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/12*-1 + 10\/4. Suppose -4*g + 23422 = 2*v, -l*v - 3*v = 4*g - 58537. Suppose -599 = -16*z + v. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.78 + 7.1. Let u = -127.1 + 127. What is the biggest value in u, 5, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h + 13*h + 13*h + 34*h)*(118 - 118 - 7*h**3) to the form l*h**3 + v*h + d*h**4 + x + m*h**2 and give d.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 9. Suppose 0 = -5*j + h*j. Let g be j - 239999 - (-2 - -3). Round g to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 12. Let f be w*(-8)\/(-12)*-24. Let h = -64 + f. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.5 and -865?\nAnswer: 1297.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*5\/10)\/(-1 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015181765 to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**13)\/p**11)\/(p**(-1\/6))**(-2\/11))**(-43) assuming p is positive.\nAnswer: p**(-4214\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, z: 4}. What is prob of picking 1 z and 1 p?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 27*n + 42. Let l be 605\/15 - 1*(-14)\/21. Is q(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219672 is divided by 73221.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -190 + 195. Suppose 15*r = -n*r - 80. Let d(x) = -4*x + 0*x**2 - x**2 - 3 + 0*x. Determine d(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -r + 16, 2*o + 16 + 0 = 2*r. Suppose -3*c - r*w = -5*w - 3, 0 = -5*c - 3*w + 1. Suppose 24 = c*a - 32. Is a a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -98*h*k*u - 2*h*k + k*u + 1169*k + 8090*u - 243 with respect to u.\nAnswer: -98*h*k + k + 8090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - 6*u - 32. Let j(m) = m**2 - 4*m - 25. Let v(b) = -6*j(b) + 4*l(b). Let n(o) = 12*o. Give v(n(r)).\nAnswer: 288*r**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 1:59 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -848 - 458. Let x = -897 - w. Let a = x - 375.1. What is a rounded to 0 decimal places?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 358, 1462, 3304, 5878, 9178, 13198?\n\"Answer: -h**3 + 375*h**2 - 14*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*o + 45 = 0, 3*b - 3*o - 27 = -0*o. Suppose -29 = -4*l - b. Suppose 22 = 7*g - l*g. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*b + 344, -3*b = 4*k - 359 + 55. Suppose b = 6*t - 18. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (75 - 0)*22\/(-44)*14\/(-21). Solve n*j + 46 = -4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 - -0.1. Let t = 13 + -12. Let o = t - u. Which is the closest to 1? (a) o (b) 4\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1871*w**2 - 1359*w**2 + 808*w**2.\nAnswer: -2422*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 249223, 5, -8 in decreasing order.\nAnswer: 249223, 5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 29, 1, -70696 in increasing order.\nAnswer: -70696, -4, 1, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j + 23*j = -252. Suppose j = 50*o - 47*o. Calculate the highest common divisor of 98 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2908737?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 15*i = -9*i - 17, -x + 4*i = 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/39)*g)\/((g*g*(g*g**(4\/21)*g)\/g)\/g) assuming g is positive.\nAnswer: g**(-106\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 18411?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 0. Suppose 2*w + v*w = 7*w. Let h be 8\/4 - w*1\/3. Solve -h*o + 2*s + 7 + 11 = 0, 3*o + s - 11 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 55. Let c = 1.0102 + u. What is c rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -29 + 61 + 10*t + 9*t**2 + t**3 + 9*t - 31. Determine f(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79*r**6 - 537*r**6 - 266*r**2 + 1867*r**2 - 115*r**2 wrt r?\nAnswer: -73920*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 + 3369*w - 564570.\nAnswer: -3*(w - 918)*(w - 205)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-25)*2)\/(980\/56350)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - n - 7. Let t(p) = 2*p**2 - 2*p - 8. What is 2*t(i) - 3*y(i)?\nAnswer: -2*i**2 - i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3\/o)\/o*o*o**(-1\/4)*(o\/((o\/(o*(o**(-2)*o)\/o))\/o))**(-35) assuming o is positive.\nAnswer: o**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -879, -875, -871, -867, -863, -859?\n\"Answer: 4*r - 883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -3 = -8\/81599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -7470 - 3*g**2 + 2*g**2 - g**2 + 7385 as a*g**2 + f + c*g and give f.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254721.7 nanometers to micrometers.\nAnswer: 254.7217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-45)\/6*12\/(-9). Let g be 1*12\/30*(-5)\/(-8). Which is the closest to q? (a) g (b) 5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15758 = 970*h + 135592 - 3434 for h.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-4))\/((-1)\/(-2)). Suppose 2*d = -f*d + 560. Suppose 0 = i - 5*i + d. What is the highest common divisor of i and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2.1. Let t = -319.56 + 308.56. Is t smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*1 - (8 - (18 - 6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01873 and -97444.\nAnswer: -1825.12612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(-5) + 18\/(-20) - 0 and -55\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24948905?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10554\/(-9)*(-3 + 15\/10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 653939065, 1307878129, 1961817193, 2615756257, 3269695321, 3923634385?\n\"Answer: 653939064*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (45\/124)\/(144\/480) and 149\/12.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155\/9300*-390*336\/26?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 + -36. Let l(m) be the first derivative of 2*m**3 + 3*m**2\/2 - 13*m + 6. Is l(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -16\/3, 5\/2, 0.02, -0.4, 0.313?\nAnswer: 0.313","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 372\/11, 1\/381, -5, -1\/3, 2, -1 in descending order.\nAnswer: 372\/11, 2, 1\/381, -1\/3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 16*i**3 - 35*i**2 + 44*i - 73. Is 11 a factor of y(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from iijdidijjdwuidijiui?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 27 + 73 = 0. Suppose -a + 12 = 2*a. Calculate the greatest common factor of m and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 2*k**6\/27 + 11*k**5\/45 - 38*k**4\/27 - 16*k**3\/27 - 585*k. Solve g(c) = 0.\nAnswer: -4, -1\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2665 + 0.0335. Let v = 4.98 + 0.02. What is the smallest value in v, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -378.159034\nAnswer: 378.159034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*i*m*u - 136*i*m + 13*i*u**2 - 56*i - 1340*m*u**2 - 5621*u wrt m?\nAnswer: -16*i*u - 136*i - 1340*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + 4 + (0 + (-65)\/52)*-22072.\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 496734\nAnswer: 1\/165578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*q - 3*q = 306 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -67\/55781, 12.\nAnswer: -0.4, -67\/55781, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/75, 2, -12, -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 9*s + 12. Let v be l(-10). Suppose v*d = -0*d + 3*x + 1094, 2754 = 5*d + 2*x. Suppose d + 62 = 12*r. Does 20 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (76 - 142) - 9\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + k = v - 9, -v = -3*k + 27. Let d be 1\/1 + (-11 - -15). Suppose -z = -d*n + 48 + 15, n = -z + 15. What is the remainder when n is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 - -65.0046. What is x rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(2 + (-12)\/8). What is the closest to -1\/2 in 5, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*z**3 - 13*z**2 - 6*z**3 - 757*z**4 + 1518*z**4 - 763*z**4 to the form g*z**4 + d*z + w*z**2 + b + r*z**3 and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - p - 1. Let n(h) = -3*h**2 - 2*h + 5. Determine n(r) - 2*w(r).\nAnswer: -5*r**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/((-5)\/(0 - 230))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -12*w**2 + 4*w - 3. Give s(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 7:17 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51844, 13, -5 in increasing order.\nAnswer: -51844, -5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 209, -171, 5, -2 in ascending order.\nAnswer: -171, -2, 5, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7168 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g - 5*g + 2*g)*(-g**3 + 3*g**3 - 2*g + 0*g).\nAnswer: -16*g**4 + 16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246, -241, -236, -231, -226?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -112*p + 864 + 2048 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*y**3 + 26686*y**2 - 345030?\nAnswer: -6*y**2 + 53372*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-30)*192\/(-72).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -10*t + 6. Let v(p) = -49*p + 28. Let j(h) = -3*v(h) + 14*z(h). Let k(w) = -18*w**2. What is k(j(x))?\nAnswer: -882*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1217.50008551 - -1217.5. Round a to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l + 19 = -101. Let v(z) = -12*z + 39. Let q be v(3). Let b be (-2 - -2)*(-1 - -2). Solve b = l*a + q + 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(3 + 1 - 2)*(10*p + 11*p - 10*p)*(2 + 0 + 12).\nAnswer: -616*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 611016872 divided by 808?\nAnswer: 756209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 173 + -173.0000179. Round l to six dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**2*t**6 - 24557314*a**2*t**3 + 7785647*a**2*t**2 + 3*a**2 wrt t?\nAnswer: 240*a**2*t**3 - 147343884*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 77016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3. Let o = h - 5. Let c = o - -5.034. What is c rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*p - 58, -2*s - p - 4*p = -57. Calculate the highest common factor of s and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 47 = -3*s. Let p(d) = -20*d + 0*d - 45 + s. Is 21 a factor of p(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -493\/4 + 124. Let y = 4.1 - 7.3. Let o = 2.7 + y. What is the smallest value in j, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 271.6 * 45.2.\nAnswer: 12276.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568552 is divided by 113509?\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 532*s - 524*s - 256 = 0. Calculate the remainder when s is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 730344 times -0.14\nAnswer: -102248.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6530564220 to the nearest integer?\nAnswer: 80812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i**3 - i**2 - 2*i - 26. Give d(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144757?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**4 - 978*a**3 + 54398*a**2 + 978*a - 54400 = 0. Calculate a.\nAnswer: -1, 1, 64, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*d + 12891 = 19149 for d.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2313383 rounded to three decimal places?\nAnswer: -3.231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4849 + 4848.9978888. Round v to 4 dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/62 and -50\/3?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 11*d**2 - 15*d + 9. Calculate c(-12).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*x - 946 - 2169, 2*w - 2498 = 4*x. Let c = x - -1249\/2. What is the nearest to 0.1 in 7\/10, -0.1, -5, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -52?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102102 - 3403?\nAnswer: 43144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/4126 and 35\/36.\nAnswer: 74268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, -2, 4, -13.14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2085939413 to the nearest integer?\nAnswer: 45672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -90 and -5?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.926, -2\/11, -0.1, -0.14 in ascending order.\nAnswer: -2\/11, -0.14, -0.1, 0.926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1703445*d - 1703522*d - 1694 = 0 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/7 + 5548*d**3\/7 - 5111424*d**2\/7 + 1546686464*d\/7 + 15983575040\/7.\nAnswer: -2*(d - 928)**3*(d + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -9486*n**2 - 50*n - 23712. Let g(f) = -2374*f**2 - 13*f - 5928. Let o(q) = -23*g(q) + 6*u(q). Differentiate o(h) with respect to h.\nAnswer: -4628*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/5 + (-1 - 0). Let x = 30 + -30. Which is smaller: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*z**2 + 3*z**3 - z**3 + 121 - 121.\nAnswer: 2*z**3 + 29*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 1 - 71 = 0. Let b be 6\/4 - j\/4. Suppose -3*y = -b*y + 22. Calculate the remainder when y is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**4\/6 - 63*b**3\/2 - 95*b**2\/3 = 0.\nAnswer: -1, 0, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 0.063 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -55c3 (base 16) to base 15\nAnswer: -678a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0465 * 14.31.\nAnswer: 0.665415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/120 and -83\/9246480?\nAnswer: 9246480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 13 = 4*d. Let p be (3\/6)\/(1\/d). Let j be 56\/12 - p\/9. Solve j*w - 5*m = -0*w + 5, 4*w + m = 14 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 i when two letters picked without replacement from zgffuiggfggfgzzg?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**5\/80 + 5*m**4\/16 + 25*m**3\/8 + 2*m**2. Determine y so that n(y) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-3) - -2 - 2. Suppose -p + 1 = 3*z + k, -2*p - z + 3 = 0. Suppose 0 = p*b + b - 24. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/31, -2\/17, -1\/4, 2, 0.1, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -c + 19, -8*n + 4*c = -10*n - 12. Let y = -6.15 - -0.15. Let d = 54 + -52. What is the fourth biggest value in 3, y, n, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4775213121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 8:05 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28079*i - 23685 wrt i.\nAnswer: 28079","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s + 17. Let y be c(-4). Suppose -7*x + 4*x = 3*n - 15, 0 = -y*n + 10. Solve -5*r = -2*i - 25, 4*r - 27 = x*i - 0*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 4*d**2 + 4*d - 3. Let c be u(3). Suppose c = p - 6*p + r - 5, 0 = 3*p - 5*r - 19. Is (-1)\/(p + (-531)\/(-267)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 54002?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 2076.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*g - 66 = -g, 0 = 5*a + 3*g - 102. Suppose 12 + a = 5*v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2057373 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15173 + 15173.00024524. Round w to five decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.65894 + -180.781483?\nAnswer: -183.440423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -0*c. Suppose r + 2*r - 12 = c. Suppose -40 + 4 = -r*k. What is the remainder when 25 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339901 to the power of 1\/2, to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10798215 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 1523582 - 542862 = 0. Let b = -96144 + k. Round b to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 32 = 4*g. Suppose g*j - 36 = -0*j. Calculate the highest common divisor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/(-4)*(-22)\/(-160) and (-14)\/4*1155\/588 - 2.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 + -79. Let i(f) = -f**2 - 6*f - 4. Give i(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, z: 1, x: 6, s: 1, a: 5, b: 1}. Give prob of sequence xsbs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51390 is divided by 200.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38.704 + 40. Let y = 1.31 - m. Is -1\/3 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**2 + 307126. Let r(m) = -5*m**2. Determine u(r(g)).\nAnswer: 100*g**4 + 307126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + 6*4*(5 + (5 + sqrt(288))*-6 + 0)**2.\nAnswer: 86400*sqrt(2) + 263837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2866 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n**3 - 4*n**3 + 0*n**3)*(5*n + 8*n - 3*n + 5*n) + (13*n**3 - 65*n**3 - 45*n**3)*(-3 + 3 + 2*n) as s + l*n**4 + c*n**3 + y*n**2 + x*n and give l.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62148*a = 63010*a - 16378 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**3 + 8493*t**2 + 175152*t wrt t?\nAnswer: -12*t + 16986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l + 9*l + 36 = 0. Solve 0*q + 3*q = l*x - 6, -7 = q + 4*x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(891) + -5)**2 + -1.\nAnswer: 90*sqrt(11) + 915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/24 and 3\/9*-1 + (-178)\/(-60).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74896, 75142, 75496, 76012, 76744, 77746?\nAnswer: 79072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.8 in -0.5, 0.3, 23, 1, 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 64*g - 107 wrt g?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i. Let x(c) = -19*c - 115. Let z(h) = -4*h - 21. Let w(d) = 2*x(d) - 11*z(d). Give 2*u(l) - w(l).\nAnswer: -8*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2240414 or 258?\nAnswer: 258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3457379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d + 12 - 259 = 0. Suppose 4*h - d = g, 0*h + 19 = 3*h + 4*g. Suppose -3 = k + h*b - 29, 2*b = -2*k + 68. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-67)\/((-1273)\/456))\/(-3) + (-1 - 16)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asieoeots. What is prob of sequence otoe?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 132 + -114. Solve -3*t - a + 6 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -22. Suppose 0*m = -m + z. Let x(b) = b**2 + 13*b + 2. Let a be x(-13). Solve -m*l - a = -17 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + -22501422?\nAnswer: -22501440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 + g**4 - 2*g**4 + (g**3 + 2 - 2)*(-2*g + 4 - 4) - g + g - g**4.\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 k when two letters picked without replacement from wapwuwkooouup?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137 - 127. Does 14 divide ((1616\/f)\/2)\/((-2)\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 8*z**2 - 165*z - 15. Let l be u(21). Calculate the greatest common factor of l and 948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4750 (base 15) in base 10?\nAnswer: 15150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/((-12)\/(-5))*8. List the prime factors of (-69)\/(-4 + c\/(-8)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 1. Let r = -0.26 + 0.16. Which is the third smallest value? (a) r (b) -1\/12 (c) -2\/7 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from mdekem.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52) + 0 + 0.\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.33749 rounded to three decimal places?\nAnswer: 1.337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-382 + 433 - 269)*(7 + 4 - 2) + 0 - 5 + 4 + (-4 + 2 + 4)*(2 + 3 - 3))*(58*p**3 - 58*p**3 + 2*p**4) to w*p**3 + f*p + l*p**2 + q + c*p**4 and give c.\nAnswer: -3918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(27) + sqrt(27) + 1 + sqrt(1323))**2 - ((1 + sqrt(27) - sqrt(27)) + 2)).\nAnswer: 54*sqrt(3) + 2180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.10064 - -0.1. What is a rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50956489 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 6 + -2 + -1. Suppose -r*x + 7*x - 15 = 0. Solve -3*n**x - 5*n - 2 - 4*n**2 + 3*n**3 - n**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7209\/12015*260\/(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227068377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 784 = -13*z. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-30)*4\/3. Put -0.2, -2, m in decreasing order.\nAnswer: m, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 51710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 164*p + 184. Let s(j) = -31*j - 37. Let x(b) = 3*q(b) + 16*s(b). Give x(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (134 - (171 - 89)) + -64.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 3, 2\/25, 262, -118?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 = 0, 3*u + 2*u = 5*s + 260. Let d(w) = w + 30. Let x be d(-8). What is the highest common divisor of u and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 1)*(5*x - x + 1 - 3*x) to the form z*x + h and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -170\/6237 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*u - 5004 = 0, 31*u = 35*u + 12. Is 167 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 8868 + 11132 = 0. Calculate the least common multiple of n and 5.\nAnswer: 2830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*o + 5, 3*o - 18 = -3*r. Suppose -39*x + 473 + 892 = 0. Suppose -5*c = 2*a - x, 4*c = a + 22 - 7. Sort c, r, 0, 1 in decreasing order.\nAnswer: r, c, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2934 = -10*h. Suppose -333*t + 28 = -h*t. Solve -3*o + t + 8 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -46*n**2 + 1187*n - 15. Calculate the remainder when t(25) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -1\/20*j**5 - 13\/2*j**2 - 7\/12*j**4 - 2*j + 0 - 3\/2*j**3. What are the prime factors of y(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 10*k**2 + 2*k - 7 - 9*k**2 - 10*k**2 - 11*k. Let p be v(-8). Solve 2*z + t + 0*t - p = 0, 3*t = z - 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-578)\/(-8))\/((-1)\/(-4)). Let f = -1747\/6 + k. Calculate the common denominator of -53\/8 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -315.40020644 + 315.4. Round o to six decimal places.\nAnswer: -0.000206","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 20 = -f, -2*f - 5*p = -1 + 5. Suppose 0 = f*v + 1 + 15. Find the common denominator of -19\/20 and ((-166)\/32)\/(v\/(-4)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -65) + 120 + -43 + -103\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 5:47 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/11872 and -19\/8162?\nAnswer: 130592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*i = -72*i, -20 = 5*u - 2*i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g - 3*m - 16 = -15*g, 4*m + 16 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/36)\/((-26)\/(-234))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42891?\nAnswer: 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 1. Let l(u) = 7*u + 4. Let o(f) = -4*f - 2. Let j(r) = 6*l(r) + 10*o(r). Let k(y) = -j(y) + 4*z(y). Let s(d) = 2*d. Calculate s(k(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11922*i**3 - 2*i**2 + 12864*i + 4?\nAnswer: 71532*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70960969931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, f: 2}. Give prob of sequence bf.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 7*f**2 + f - 4. Let v be x(7). Suppose v*y - 15 = -2*y. Suppose 4*k - y*m - 20 = -0*k, -2*k - 5*m + 10 = 0. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28765.\nAnswer: 5, 11, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (73 + -31 + -46 + (1 - 2) + 40).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-13)\/26*8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(24)*-1*1)\/(-1*sqrt(1200) + 2*sqrt(1200)).\nAnswer: 2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7901.217nm in meters?\nAnswer: 0.000007901217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -12, 0 = -6*o + 3*o - 3*h + 372. Suppose 2*q - 41 = -j, -5*q + o - 23 = 4*j. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*w**5 - 15*w**2 - 7*w**2 + 26*w**2 wrt w?\nAnswer: 360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 5*s + 1. Let k(d) = 3 + 9 + 18*d**2 + 11*d - 16 - 20*d**2 + 6. Give 3*k(t) - 5*y(t).\nAnswer: -t**2 + 8*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1370)\/(-4795)*(-45 - -3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + 5 - 6*t**2 - 3*t**2.\nAnswer: -6*t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 5, -1, -20, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3685 - 6283. Let s = 2597.999998623 + b. Round s to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, j: 1, a: 2, e: 1, w: 1, r: 1}. What is prob of picking 1 p, 1 w, 1 j, and 1 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -i - 10. Solve 0 = -2*z - 1 + i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.202, 5, 3 in ascending order.\nAnswer: -0.202, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64740, -129481, -194222?\nAnswer: -258963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8, -23, 53, -3, -1 in descending order.\nAnswer: 53, 8, 1, -1, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-9)*1\/(-5).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18202322+0.22\nAnswer: -18202321.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110433157?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6*u = -4*r + 928, -3*r = -3*u + 942. Suppose -5*w = -688 - u. Is 25 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 + 2*q**3 - 4*q**3)*(-2*q + 1 - 1) + 93639*q + 340*q**4 - q**2 - 93639*q.\nAnswer: 344*q**4 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 98349336 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 0 - (-10)\/9. Let x = 224 + 417. Let t = x + -641. What is the nearest to q in t, -3, 3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.25931 - -0.75931. Let d be 7\/(-14)*16\/2. Let s be d\/10 - (-22)\/30. What is the second smallest value in -0.2, s, -1\/4, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36434 is divided by 1079.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/8)\/((-2)\/8). Suppose 0 = 4*a - t - m, 0 = 4*a - 2*t - 2. Suppose a*u = -3*u + 42. What is the highest common divisor of u and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x**3 + 77*x**2 - 944*x + 56. Give v(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6501162 is divided by 8797.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.3. Let h = 0 + j. Let t = 12 - 8. Which is smaller: t or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 10*z**2 - 336*z - 1374. Determine q(-4).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 24792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10, h: 10}. Give prob of picking 2 p.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003252 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15213 plus 0.0658045?\nAnswer: 15213.0658045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(3\/16)*r**(-2\/27))**(-3) assuming r is positive.\nAnswer: r**(-319\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 1030334 and 1030334 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*v - 4*j - 28 = 33*v, -3*v + 5*j = -32. Suppose -4*d - w = -17280, -5*d + v*w + 0*w = -21621. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 + 57 + -21 - 19\/(1330\/144)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3217828 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 7 + 4 = 4*t, t = -3*o + 14 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i - 10. Suppose -59 = -8*t + 13. Determine j(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(4 - -2) + (-20)\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/18 + 4597\/(-9). Let w = -170 - q. Calculate the greatest common divisor of w and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/((-9)\/(-3)) - 1. Let a be ((-2)\/h)\/(4\/(-968)). Let v = a + -84. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 17*z**2 + 3*z + 34. Let o(u) = -11*u**2 - 2*u - 23. What is -7*o(w) - 5*r(w)?\nAnswer: -8*w**2 - w - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 15*l - 107. Let z be m(7). Which is the third smallest value? (a) 0 (b) -2\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20635 + 21763 = -94*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 49*a**2 + 14*a + 14. Let o(t) = 10*t**2 + 3*t + 3. Give 14*o(j) - 3*p(j).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -54*j. Let r = -655 + 685. Let w(l) = -2*l**2 + 62*l - 61. Let k be w(r). What is h(k)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u**3 + 31*u**2 - 20*u + 3. Give z(6).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 125*o**2 - 514*o - 12. Let a be j(-4). Calculate the greatest common divisor of a and 18756.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-42)*s*s**15*((s*s*s**(3\/16)*s)\/s)\/(s*s*((s*s*s*s*s\/(s**(3\/13)*s))\/s)\/s*s*s) assuming s is positive.\nAnswer: s**(-5945\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*z**2 - 12*z**2 - 61*z**3 - 20*z**2.\nAnswer: -61*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3642 is divided by 2771.\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = 50*i - 739 - 1757. What is the remainder when 866 is divided by i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4606354, -9212711, -13819068, -18425425, -23031782, -27638139?\nAnswer: -32244496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -18*f**2. Let i = 56 - 67. Let a(n) be the first derivative of 5*n**2\/2 + 6*n - 2. Let v(h) = 9*h + 11. Let z(b) = i*a(b) + 6*v(b). Give z(q(d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -27.4571548083.\nAnswer: -27.2571548083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 41?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403*w**3 + 1223*w**3 + 2109*w**3 + 1374*w**3.\nAnswer: 4303*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**5\/5 + 3*c**4 - 10*c**3 - 50*c**2 + 21*c. Determine f so that b(f) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2444\/129821?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 10:14 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 427\/11 + -5789\/165. Let o = q - 10\/3. Let u = 9 + -5. Which is the nearest to o? (a) -1\/2 (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2\/31, -1.4, 2\/5, -12, -3\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 9:51 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-seven fifths of a century?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -0.06, 81995 in decreasing order.\nAnswer: 81995, -0.06, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*w**3 - w**2 + 88*w + 7*w**3 + 3*w**3 + 205*w wrt w?\nAnswer: 30*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60*(-16)\/384*6\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 16*z**7\/105 - 403*z**4\/24 - 2*z**2 - 387*z. Find the second derivative of k(b) wrt b.\nAnswer: 384*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 18718.01\nAnswer: -93590.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3814\/4*(10 + -4). Suppose -8*i = -5*i - p. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 5*o**2 - 6*o - 3. Let f = -35 - -40. Let r be c(f). Round r to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from sllfflsllllff?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4 + 33652*w**3 + 282507892*w**2 - 10203017184*w + 91925388864 = 0. Calculate w.\nAnswer: -16844, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 6)*(-4 - 4 + 5) + (4 - 1 - 1)*(1 + 0 + 0))*(3*b**4 - 5*b**4 + 6*b**4).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*u - 1. Suppose -a = -u*a + 8. Suppose -5*r = -p + 32 - 2, 3*r = -15. Is a greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -245*t**3 - 305*t**2 - 1. Let s(d) = -19*d**3. What is 26*s(b) - 2*u(b)?\nAnswer: -4*b**3 + 610*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2276 - 11424\/5. What is the smallest value in -0.3, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in ten sevenths of a week?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/21782448 and 43\/240?\nAnswer: 108912240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-15)\/21) + -1. Let h = 137.3 - 137.4. Let p = 5 - 4.5. Which is the nearest to l? (a) p (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 2039450302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*t - 5 = 0, 3*n + 2*t = 25. Suppose b - n*b = -208. Solve 2*f - 14 = w - 3, 0 = w - 5*f + b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506690155 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7911*t - 1613860. Determine a(-204).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p - 8. Let w be x(-3). What is the third biggest value in -1\/4, 0.4, w, 15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17870 times 0.92?\nAnswer: -16440.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(-24)\/(o\/o**(1\/4)*o**(-14)\/o) assuming o is positive.\nAnswer: o**(153\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.8 - -21. Let l = 4 - y. Sort 4, 2, l in increasing order.\nAnswer: l, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 2*u**7\/105 + u**6\/12 + 3*u**5\/80 - 13*u**4\/96 + u**3\/12 - 16*u**2. Factor t(c).\nAnswer: (c + 1)*(c + 2)*(4*c - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from ppppppaa.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9711496 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.12 + 0.02. Let t = 3 - 2.99. Let d = 5.01 - t. What is the nearest to m in 0, d, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164, 275, 386, 497, 608, 719?\nAnswer: 830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.61.\nAnswer: 0.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 2\/15 (b) -0.39 (c) -1\/4 (d) 226 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 2*r - 9052, 4*m + 164*r - 169*r = 9038. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*c - 15*c - 17*c. Suppose -3*z = -5*f - 3 + 22, 2*z + 8 = f. Suppose -2*n - f*n - 16 = 0. What is the closest to -1 in c, n, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c + 7 + 2*c**2 - 6*c + c. Let r be s(7). Solve -f + 5*f = 4*u - r, 5*u = 3*f + 27 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*s - 1008 = -5*z, -8 = 2*s. Let r = z + -251. Let g = 0.1 - -0.3. What is the nearest to -0.4 in g, r, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + -1001100111?\nAnswer: -1001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 37e674?\nAnswer: 37e674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 149*s = -151*s - 18, 4*i - 7*s - 54 = 0. Put 4, 5, i, -6 in descending order.\nAnswer: 5, 4, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4406\/77 + 412\/7. Suppose -3*z = -7*z - 5*c + 38, -3*c + 42 = 4*z. Find the common denominator of 2\/(-6) - (-67)\/z and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - ((-21)\/7 + -9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + (1688\/(-24) - -69).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 m when three letters picked without replacement from {m: 7, e: 4}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or 18714?\nAnswer: 18714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f + 14*f - 4*k + 6 = 0, -5*f - 4*k + 14 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -30*z**3 + 72*z**2 + 209*z - 103. Let n(f) = 10*f**3 - 24*f**2 - 70*f + 34. Let u(x) = -7*n(x) - 2*v(x). Factor u(g).\nAnswer: -2*(g - 4)*(g + 2)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -457 divided by -223459.\nAnswer: 457\/223459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 2:35 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*s + 1266 = 3*k, 5*s = 5*k - 1605. What are the prime factors of k?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289.4083 rounded to zero dps?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*r + 63 = -154*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 39, 52, 65, 78?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/6*(-8)\/(-448)*-21*8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11)*1)**2*-4 - sqrt(11)) + 1 + -3*sqrt(11).\nAnswer: -43 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 35*c**2 + 74*c. Let f(s) = -s**3 - 71*s**2 - 147*s. Let r(a) = 2*f(a) + 5*w(a). What is the second derivative of r(k) wrt k?\nAnswer: -12*k + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 - 6*w**3 - 9*w**2 + 24*w - 12.\nAnswer: 3*(w - 2)*(w - 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 - 13. Suppose -5*r = 3*r - d. What is the highest common factor of 12 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**6\/24 - 111*s**5\/20 + 109*s**4\/8 + s**3\/6 - 219*s**2\/8 + 109*s\/4 + 134. Factor k(l).\nAnswer: (l - 109)*(l - 1)**3*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*k**4 - 3*k**2 + 9*k + 1.\nAnswer: -180*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11028387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 953693199 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -20, -49, -98, -173, -280, -425?\nAnswer: -614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-nine quarters of a kilometer?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4568004*x**3 + 7*x**2 - 33075465*x wrt x.\nAnswer: -27408024*x + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134 by -725.\nAnswer: -134\/725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((1 - 20) + 6 + 6 - -6) + 19\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -169445 - -169511. Factor -726 + j*p - 3\/2*p**2.\nAnswer: -3*(p - 22)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 2*y. Let p be r(-3). Let m = p + 1. Suppose -v - 2 = -1. Is m bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23781.\nAnswer: 3, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-4\/9)))\/p**(2\/7)*p\/p**(-12\/5)*p\/(p**(2\/25)\/p*p*p) assuming p is positive.\nAnswer: p**(5479\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 176826042 to the nearest 100000.\nAnswer: 176800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32.1 - -20. Let o = 23.1 + -13. Let c = o + d. What is the nearest to -0.1 in 2, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11522 (base 8) to base 13.\nAnswer: -2336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -914126*u**3*y + 42*u**2*y - 294*u + 36*y wrt u?\nAnswer: -5484756*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.944 - -0.056. Is m >= 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 155*n. Let t(l) = -14*l. Let u be 3\/((-246)\/24 + 11). Determine u*f(j) + 45*t(j).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c - 112 - 101 + 258 as m + o*c and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 432 - -401. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -1\/2 (b) 1 (c) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 44*k. Let l be (-33)\/(-30) + (-32)\/320. Let i(v) = 3*v - 1. Let m(x) = 2*x**2 + 18*x - 6. Let j(q) = l*m(q) - 6*i(q). Determine j(p(d)).\nAnswer: 3872*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 89*v + 20. Determine i(5).\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 35*q + 13. Let u be c(-15). Suppose 3*g = -5*k + 187, -3*k - 60 = 4*g - u. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uolulz. What is prob of sequence lzl?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.5, 172, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1612)\/(-182) + (-110)\/(-35) + -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/7524 and -121\/2545848.\nAnswer: 28004328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64129?\nAnswer: 13, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -54323 greater than -54366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 74219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 5:19 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.28 - 0.12. Which is the third smallest value? (a) i (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414996160 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 6*b + 19 + 15 - 2*b in the form h*b + x and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(190)*-2)\/(-3*sqrt(30)\/sqrt(3)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -1761626.9?\nAnswer: 1761626.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 0.3 (b) 0.1 (c) 5\/7 (d) 6 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 13*l - 5. Let p(b) = -2*b - b - 5*b + 4*b + 2*b. What is q(p(u))?\nAnswer: -26*u - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-1 + sqrt(891) + -4 - -6*(sqrt(891) + 2)) + (-4 + sqrt(891) + 0 - sqrt(891)) + -4 + sqrt(891) + -2 + sqrt(891) + sqrt(891)))**2.\nAnswer: -13500*sqrt(11) + 2227725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3\/48200944?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, d: 1, q: 1}. Give prob of picking 1 d and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/7)\/(-11 + (-1500)\/(-140)). What is the nearest to -3 in o, -1\/4, -0.04, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-5 - -2)*1. Suppose -m*d + 8350 = -11*d. Let r = -5130 + d. What is r rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 3*l + 13. Give p(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.7, 3, -41003, -5?\nAnswer: -41003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68 - -36.42. Let i = 10.92 - 39.92. Let k = i - u. Round k to one dp.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 6, 0 = 4*q - 11*u + 16*u - 4545. Is 76 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - sqrt(68)\/sqrt(4)) + 0 + 3 + 3)**2 - (sqrt(17) + (sqrt(612) + -4)**2 + (sqrt(1836) - sqrt(51))\/sqrt(3))) + 1.\nAnswer: -591 + 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44 - 6) + -11 + -7.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 826*j + 501*j + 5 - 1368*j. Determine g(-3).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 651, -3, -10, -2 in ascending order.\nAnswer: -10, -3, -2, 651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -6, -1, 0.\nAnswer: -6, -1, 0, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnlnlyrrnnlrrlnlln. Give prob of sequence nrrn.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4*z + 2*i, -z + 8 = -2*i. Solve z*h + 4 = -0*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-132)*(0 - 2). Let o = -148 - -148. What is the biggest value in o, 45, j?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*m**3 + 133*m**3 + 4*m + 42*m**3 - 4*m - 24*m**3.\nAnswer: 272*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*g - 996 = -0*w, -5*w - 1656 = -2*g. Let y be (14\/(-35))\/(2\/w). What is the highest common factor of y and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-94)\/(-4)*(24 - 22).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -32, 19, -5 in descending order.\nAnswer: 19, 3, -3, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 15 = 6*j. Suppose 0 = 2*c - j*q - 35, -137 = -5*c - 2*q - 2. Calculate the highest common factor of c and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3134+96499219\nAnswer: 96502353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 3152?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 1\/420*i**6 - 2*i**2 + 0*i + 2\/21*i**3 + 1\/245*i**7 + 0 - 1\/84*i**4 - 1\/42*i**5. Determine n, given that t(n) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a century in decades?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 7\/(98\/4708) - (-18)\/(-63)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0651 and -21354?\nAnswer: 21353.9349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20836 is divided by 10417.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-55)\/(-10)*(2 - 1 - 3). Let t be 8\/(-3 - u)*13. Solve l + 2*y + t = -2*y, -l + 3*y + 8 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 4*v + 5. Let g(c) = 2*c**2 - c. Let l(f) = -f**2 - 1. Let q(x) = 2*g(x) + 3*l(x). Let j be q(-2). Let z be (-25)\/4 + j\/20. Calculate b(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -9 - (-12 + 1) - (-11 - -28)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5678990*d**3 - 360003*d**2 - 7*d + 2 wrt d.\nAnswer: -34073940","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 26 (b) 1 (c) -2.84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -78*a + 2002 - 2002 + (-1 + 3 + 1)*(a - a + a).\nAnswer: -75*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 0 - 2)*(2*m - m - 5*m) + 2*m + m - m)*(27 - 27 - 10*m**3) + 6*m**3 - 6*m**3 + m**4 to p*m**4 + s*m**2 + i + j*m**3 + z*m and give p.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, 0.07, 2\/3, 0.3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 210 + 41 = 0. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**4 - 40*k**2 + 36732*k**3 - 11*k - 36733*k**3 - 10*k**2 to n*k + a*k**3 + i*k**4 + t*k**2 + o and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -f - 6. Let l = 67 - f. What is the greatest common factor of l and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10413404203 (base 5) to base 8\nAnswer: 53572702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49918\/533 or -95?\nAnswer: -49918\/533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 2*q = -d + 2, 10 = 5*d + 3*q. Solve y - 13 = -4*t, -11 = -d*t - 6*y + y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.117, 2, 9\/10?\nAnswer: -0.117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 11:00 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c**2 + 20*c**2 + 54*c**2)*(3*c + 0*c - c + (-4 + 4 - 2)*(2*c - 2 + 2)).\nAnswer: -134*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 1:30 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**5)**(-37)\/(f**7*f**(-7)))**42 assuming f is positive.\nAnswer: f**(-7770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 472138 or 475833?\nAnswer: 475833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -116382 divided by -6?\nAnswer: 19397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 996 is divided by 26?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0828 minus 3.51?\nAnswer: -3.4272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -2, -3, 3.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20449294, -40898598, -61347904, -81797212, -102246522, -122695834?\nAnswer: -143145148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*s - 9. Suppose -5*t - 76 = 5*p - 26, t + 2*p + 10 = 0. Let q be (-2)\/((-1)\/t*s). Solve -2*u - 2*u = q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.2328269 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + r + 175, 3*v + 2*r - r = 185. Does 9 divide v\/8*(-10)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2326099144 and 8.\nAnswer: 2326099144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 310998881 to the nearest integer?\nAnswer: 17635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65075 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 10:43 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -68 - 3097551\/45578.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*j = 3*l - 11, j + 8 = l. Let d = 44 + l. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(-1\/4))**7\/((z\/(z*z**(3\/4)*z*z*z))\/z*((z\/(z\/(z\/(z**(-1)*z)*z)))\/z)\/z) assuming z is positive.\nAnswer: z**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61152 and 18018.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -92 - -149. Let w = q + 20. What is the highest common factor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -613*g = -620*g + 189. Calculate the remainder when 134 is divided by g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5052, 4823, 4582, 4323, 4040?\n\"Answer: -x**3 - 222*x + 5275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5609.533 years to millennia.\nAnswer: 5.609533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 48*h - 18. Let m(t) = 2*t - 1. Give 2*l(k) - 44*m(k).\nAnswer: 8*k + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1546, -2398, -3252, -4108, -4966, -5826?\nAnswer: -6688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1247792 or -8734539\/7?\nAnswer: -1247792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1443 + -1450.03. Let q = -7 - x. Round q to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 626567, 626737, 626907, 627077?\nAnswer: 627247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 8*w**2 - 6*w - 1. Let q be u(-9). Let f = -20 - q. Suppose 2*j - j = f. Calculate the smallest common multiple of j and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-126)\/(-4)) + (-8)\/(-21)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - -5 - 75\/(-3). Let s = i - 20. Let a(h) = -h**2 + 9*h + 3. What is a(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 775*g*n**2*u**3 + 16*g*n**2*u - 7672*g*n*u**2 + 2*g*n - 114*g*u**3 - 165*n**2*u**3 - 27*n**2*u**2 wrt u.\nAnswer: 4650*g*n**2 - 684*g - 990*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003440439 rounded to seven decimal places?\nAnswer: 0.000344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 695958.83 rounded to the nearest ten thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d. Let p(n) = -6*n**2 - 7*n - 7. Let i(o) = 5*o**2 + 6*o + 6. Let u(c) = 7*i(c) + 6*p(c). Give u(m(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + sqrt(475)) - (-2*sqrt(475) + 2).\nAnswer: -11 + 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, 0.3, 4, 39?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 + 971 + 236 - 2539 + (2*t**2 + t**2 - t**2)*(-3*t + 0*t + t).\nAnswer: -t**3 - 1332","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 16380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 872855 is divided by 67122?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -0.5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3316 - 7124. Let w = t - -3808.00002913. What is w rounded to six decimal places?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 1321 = -7495. List the prime factors of q.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 6:02 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 99.3 in -2, 3\/8, -1\/9?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.699 - 40.829. Let k = 36.1 + r. Let f = 0.03 + k. Which is greater: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/13, -5\/3, -1 in decreasing order.\nAnswer: 3, 2\/13, -1, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + j = -45597, 4*i - 34197 = i + j. Round i to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11696067493 and -0.08.\nAnswer: 11696067492.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 422.68*-125\nAnswer: -52835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 869995 + -3?\nAnswer: 869992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a day in minutes?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 28, 74, 132, 208, 308?\n\"Answer: d**3 + 39*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -12*z + 10. Let r(p) = -37*p + 30. Let s(b) = -8*i(b) + 3*r(b). Differentiate s(f) wrt f.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 2, -21, 14, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5058 - 0.4458. Put -2\/9, 3\/2, n, 0 in decreasing order.\nAnswer: 3\/2, n, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v**2 + 406*v + 2635. Determine t(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (103*b + 83*b - 111*b)*(5 + 17*b - 19*b + 7) in the form j + p*b + o*b**2 and give o.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*s - 9 + 4 - 72*s - 15 + 3*s**3 - s**2 in the form u + h*s**2 + q*s**3 + y*s and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmbmp. Give prob of picking 1 p, 1 m, and 1 b.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212047 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256553.\nAnswer: 11, 83, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*h - 14, 2*d + 0 = 2*h - 8. Put 1, d, 3 in ascending order.\nAnswer: d, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-7020)\/(-375))\/(-52))\/(2\/10*3).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -3\/2, 2, 8\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 2*q - 2*m + 7, q - 9 = -m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -436?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 6) to base 4\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 52\/5 of a kilogram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 472 a factor of 3776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 34*j**3 - 9*j**3 + j - j + 25.\nAnswer: -43*j**3 + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 888 = -35*x + 32*x. Let m = 1183\/4 + x. Which is the nearest to -1\/13? (a) 0.08 (b) m (c) -5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y - 10. Let k be j(5). Suppose 7*w + k*s = 2*w, 3*w + 8 = s. Let l(m) = 54*m**2 + 3*m - 1. Is l(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29792128 divided by 14896064?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010364 rounded to four decimal places?\nAnswer: -0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -1) + -99 + 105 + -27?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 466*v - 35*v**2 - 466*v + (-4*v - v + 3*v)*(0*v + v - 2*v) - v**2 + 4*v**2 - 2*v**2 to h*v**2 + y*v + n and give h.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p**3 - 4*p**2 - 7*p - 2. Let h(w) = -2*w**3 - 5*w**2 - 8*w - 3. Calculate -3*d(v) + 2*h(v).\nAnswer: 8*v**3 + 2*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -189 divided by 7\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by (34\/(-85))\/((-8)\/(-6)*42\/(-9940)).\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/3, -2, 0.28?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 10*r**3 + r**2. Let z be b(-1). Suppose -47 + 11 = -4*g. Let i = z + g. Round i to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*j = -1108, j + 1073 = 3*d - j. List the prime factors of d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/56 and 42\/11.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/2905)\/(9\/(-3276)*-26)?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4737543 (base 8) to base 3.\nAnswer: 2102202021120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = a + 5*c, -2*a = c + 2*c - 13. Put a, -5, -12, 5 in increasing order.\nAnswer: -12, -5, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = k - 16, 5*u + 13 = 3*k + 5. Sort -1, k, -21, 0 in descending order.\nAnswer: 0, -1, k, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*t - 37 = -54*t + 54 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289*a**2 - 193*a**2 - 226*a**2.\nAnswer: -708*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -0.03, 3, -1.8, -1908, -0.09?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (26 - 21) + (-3 - -2). Suppose 16 = -q + 22*k - 21*k, 0 = -3*q + x*k - 51. Let w(r) = r**3 + 13*r**2 - 2*r - 18. Determine w(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 166646 and -7?\nAnswer: 166653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43900296 is divided by 10658.\nAnswer: 10652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6 - 3 + 22*w - 9*w. Let m(f) = -4*f - 1. What is 7*m(p) + 2*y(p)?\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -11*p + 3. Let i(r) = -30*r + 9. Give -8*b(g) + 3*i(g).\nAnswer: -2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 61061 (base 16) to base 3\nAnswer: 202012010212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*t**4*y + 174*t**4 - 60*t**3*y**3 + 7897*t**2*y + 2*y**3 - 820*y wrt t?\nAnswer: 240*t*y + 4176*t - 360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1. Let k(u) = -3*u - 1 + c - u - u**2 + 2*u**2. Determine k(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3 + -2)*2*17 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0.1 (c) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (19 + -19 + (2 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -421 (base 9) to base 10.\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -682*y**2 - 1. Let c(r) = -r. Determine c(m(z)).\nAnswer: 682*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*v - 454 = -37 + 132 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.4 + -1.3. Let s = z + -1.06. Let n = s - 0.038. What is n rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 502*d - 507*d + 4 = 0, 0 = -3*g + 5*d - 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/(-3)*((-45)\/(-2766))\/(-5). Let w = q - 36259\/3688. Calculate the common denominator of 31\/3 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -4*y**4 + 1044*y**3 + 3156*y**2 + 3164*y + 1056 = 0.\nAnswer: -1, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -7*c - 2*p, -56*c + 54*c = 3*p - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/19? (a) -0.2 (b) -3 (c) -15 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 66901 + 2*g**2 - 36*g + 0*g**2 - g**2 - 66907 + g**2. Calculate d(18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3730622791 to 5 decimal places.\nAnswer: -0.37306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 1 + 4. What are the prime factors of 17 + -5 - 1\/d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, 0.067, -44863?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*a - 10 + 80 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11180 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: Divide -4676 by -1169.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -3*x + 72. Solve -x*o + 5 = -r + 4, r - 2 = o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 11:00 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 0 + 0*h**3 - 1\/12*h**5 + 0*h + 1\/120*h**6 - 5\/12*h**4 - 18*h**2. Calculate the remainder when u(7) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1641851025?\nAnswer: 3, 5, 331, 66137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 103*b + 4. Let t(p) = 102*p + 3. Let y(s) = 5*c(s) - 6*t(s). Is y(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 5*v**2 + 10*v. Let b be s(-5). What is the third derivative of -4 + b*i + 2*i**2 - 200*i - 56*i**5 wrt i?\nAnswer: -3360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46486058 to the power of 1\/2, to the nearest integer?\nAnswer: 6818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*t - 3*r = -348*t - 20, 2*r - 6 = 3*t + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1117*a*v**3 - 297*a*v**2 + 2*v**6 - 2 wrt v?\nAnswer: -6702*a + 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9393 and 2448442?\nAnswer: 7345326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 386\/7*f**3 + 824\/7*f**2 + f**5 - 9\/7*f - 324\/7 - 116\/7*f**4 = 0?\nAnswer: -1, 4\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 68*x**4 + 92*x**2 + 12*x + 12. Let z(q) = -27*q**4 - 37*q**2 - 5*q - 5. Let j(t) = 5*b(t) + 12*z(t). What is the third derivative of j(r) wrt r?\nAnswer: 384*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eww when three letters picked without replacement from wwwwwwwwwwwwewwwwww.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 x when three letters picked without replacement from {x: 2, v: 5, g: 1, t: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 3*z = -28, -2*j - 7*z = -2*z for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 2, 2*v + n + 4 = -3. Let z = v - -15. Solve -j + 5*k + 15 = 0, -3*j + 0*j + k = z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/3*573\/382. Solve p = -z + 1, -p + 4*p + m = 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from {y: 12, n: 6}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -4*h**5 - 10856*h**4 - 376464*h**3 - 3766392*h**2 - 13604652*h - 16202592 = 0.\nAnswer: -2679, -21, -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**5 + 2*n**5 - 2*n**5 + (-n**2 - 25*n + 25*n)*(0*n**3 - 3*n**3 + 2*n**3).\nAnswer: -3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000155917 to 7 decimal places.\nAnswer: -0.0001559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1908 divided by 318.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30.4? (a) -3\/2 (b) 2062 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5.876 * -271.6\nAnswer: 1595.9216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -3*q - q. Let g be 56\/(-90) - (-4)\/q. Let h be -3 - -5 - (-4)\/2. What is the nearest to g in h, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11929499, -23858990, -35788481, -47717972?\n\"Answer: -11929491*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -9.94. Let h = u - -3.06. Let w = 3.0007 - h. What is w rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -169.7 to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 464*c - 157*c + 8*c**4 - 159*c - 2*c**3 - 161*c to the form v*c**4 + p*c**3 + t*c + z + q*c**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 86118 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(352) + sqrt(352) + sqrt(22))\/(sqrt(12)\/sqrt(24)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 69*j**3\/2 - 50*j**2 + 4*j - 25. Differentiate x(w) wrt w.\nAnswer: 207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -41. Calculate the greatest common factor of u and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-55))\/(20\/(3400\/17))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-192)\/(-405) + -7 + 99\/15. What is the second smallest value in -7, 4, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 7. Let p be u(5). Let j = 28 - p. Suppose 32 + 23 = m + 3*r, 5*m = r + 227. What is the remainder when m is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -4\/3 (b) -2\/11 (c) -0.8 (d) 274\/427 (e) -1 (f) -6 (g) 2\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c - 6. Let z(w) = -12*w + 41*w - 16*w + 7 - 11*w. Give -7*t(x) - 6*z(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1\/8 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 78.31059 litres?\nAnswer: 78310.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 1\/2*k**3 - 1\/120*k**6 - 2*k**2 + 0*k - 1\/6*k**4 + 0 + 1\/15*k**5. Calculate h(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 10*g**2 + g - 5. Let r be o(10). Suppose -5*y - 5*u = -15, 0 = -2*u + r*u. Solve -y*b = -14 + 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (0 - -5) - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -335 + 392. Suppose 159 = i + b. What is the remainder when i is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(2\/5)*c)**(1\/16)\/(c\/((c*c**(-1\/2)*c)\/c)*c)**(-25) assuming c is positive.\nAnswer: c**(3017\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -176*m + 182*m - 30 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 8*a + 36 = -3*a, -s = a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 907914514.\nAnswer: 2, 13, 149, 234361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-4860)*150)\/((-2)\/72)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*a + 11 + 0 = 0, 3*b = -2*a + 16. Suppose -20 = -n - 22. Sort -5, b, 0, n.\nAnswer: -5, n, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 18*w**2 - 19*w + 28. Calculate n(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 4*q - 6. Let t be d(6). Suppose -h - 15 = -t*h. Solve -h*z - 13 = 2*p, -p - 4 = 5*z + 6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 4, -42430, -0.4, 64 in descending order.\nAnswer: 64, 4, -0.4, -1\/2, -42430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 >= 343\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 322, 331, 342, 355, 370, 387?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**7\/1470 + 3*t**6\/140 - 27*t**5\/140 - 63*t**2 + 2*t. Find h such that c(h) = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/7 + 6751457*w\/7.\nAnswer: -w*(w - 6751457)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + -1)\/(-2) + (-224)\/(-8) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2883 + 300 = 3*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -143121131330 + 10?\nAnswer: -143121131320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -44832103 or -44832097?\nAnswer: -44832097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-4))\/((-615)\/(-328)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(14\/5)\/h)**10 assuming h is positive.\nAnswer: h**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (2 + (0 - 1)). Let d(c) be the third derivative of 0 + 1\/12*c**4 - 4*c**2 - 1\/2*c**3 + 0*c. Give d(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1930, -1151, 146, 1961, 4294, 7145?\n\"Answer: 259*p**2 + 2*p - 2191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -33. Suppose h = 2*o - 4*t, 16 = 7*o - 4*o + 4*t. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 0)*(-2*b + 5*b - 2*b) - 3*b + 0*b + 2*b + (11 + 7 - 12)*(-39*b + 7*b + 17*b) to the form p + l*b and give l.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69\/3081154 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300053 is divided by 10345.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2982991, -5966003, -8949039, -11932111, -14915231, -17898411?\n\"Answer: -2*u**3 - 2982998*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-44)\/(-7) + 2 - 94\/329. What is the highest common divisor of j and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 13) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -3895 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 112908973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 884 (b) -1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/90*-4*6\/(-4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36 or -45423?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 135\/24 - 797052\/(-12192)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/167 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14 or 160\/11?\nAnswer: 160\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2\/103, -1\/12, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3168)\/528 - (5\/(-2))\/((-15)\/(-60)). What is l in -4\/5*l**2 + 2\/5 + 0*l + 0*l**3 + 2\/5*l**g = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 72*q**3 + 3*q**2 - 6*q + 8. Let x(s) = -70*s**3 - 2*s**2 + 4*s - 6. Calculate -3*b(j) - 4*x(j).\nAnswer: 64*j**3 - j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-588)\/(-70))\/(((-8)\/5)\/(-4)). Is -3 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 0.4 (b) 131 (c) 3\/7 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78 - 24. Let f = -49 + d. Calculate the remainder when 31 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -3. Solve c = -5*n - 2*c - s, -5*c + 10 = -5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 30662?\nAnswer: -30656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 731 + -331. Calculate the greatest common factor of v and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4*(-2)\/10)\/(-2). Let g = 0.2 - 0.4. Suppose -6*s = -16 + 10. What is the closest to -1 in s, g, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19210, -38460, -57746, -77068, -96426?\nAnswer: -115820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -2, -68*j + 18 = -64*j - o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7326661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**5\/5 - 1548*u**4\/5 + 4767*u**3\/5 + 50004*u**2\/5 + 93516*u\/5 + 49824\/5 = 0 for u.\nAnswer: -519, -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 765*b + 763*b = -5, 0 = 5*f - 3*b + 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a + 4*a + 0*a - 6*a. Let h(w) = -w**2. Determine h(m(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1163807079?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 176 - 36. Suppose -3*r + 5*j = -v, -5*j = 26 - 6. What is the greatest common divisor of 20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1183375 minus 154760.1?\nAnswer: -154760.2183375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, p: 11, a: 2, h: 2}. What is prob of sequence app?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*7\/3 + (-6)\/9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**2\/7 + 48*a\/7 - 12 = 0 for a.\nAnswer: 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -184 (base 12) to base 6\nAnswer: -1044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 28 = 8. Let j = -28 - -42. Calculate the smallest common multiple of z and j.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1369196, -1369197, -1369198?\n\"Answer: -m - 1369195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - 3113?\nAnswer: -3130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*f**4 + 23 - 7*f**4 - 2*f - 11*f**4 wrt f?\nAnswer: -36*f**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**3 - c**2 - 19*c - 19. What is j(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 14*z - 9. Let p be 2\/((-12)\/(-75)) - (-4)\/(-8). Does 4 divide s(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7 - -22 - 3 - 9?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.41, 11, -0.7, 0, -0.2, -4\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34582703 and -26.\nAnswer: -899150278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -88, -98, -112, -130, -152?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -8*a - 2. Let i(o) = o - 5 - 18*o + 1. Let x(d) = 2*i(d) - 5*l(d). Calculate the remainder when 26 is divided by x(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8288206 is divided by 920894?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42\/5*(2 + 3) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r + 5 - 4 - 1 - 6*r + 3. Let b(v) = v**2 + v. Let a be b(-2). What is g(a)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -294, -289, -284, -279, -274, -269?\n\"Answer: 5*a - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (13 - (6 - 15))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*w - 27*w**2 + 12*w + (2*w + w - 4*w)*(52 + 14*w - 52) - 5*w**2 + 3*w**2 + w**2.\nAnswer: -42*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 + 122637*r**2\/4.\nAnswer: r**2*(r + 122637)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 1193 = j - 17*a, 4*a + 3583 = 3*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9814083 decades to months.\nAnswer: 117.768996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -6 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 964 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291868235.\nAnswer: 5, 73, 509, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-2)\/(-11))\/(49 + 46070\/(-935))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n - 57 = -19*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -7*f**6\/120 - 13*f**4\/24 + f**2. What is the second derivative of x(s) wrt s?\nAnswer: -42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -4, -2 in descending order.\nAnswer: 5, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {i: 11, q: 2}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a**3 + 2*a**2 - a + 121. Let h be z(0). Let x(l) = l**3 + 6*l**2 - 3. Let k be x(-5). Calculate the highest common factor of k and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 3*o + 4*o + (-1 + 2*o + 1)*(-1 + 2 - 2) + 0 + 0 + o)*(92 + o - 92).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence duuk when four letters picked without replacement from pudpukudukpkppk.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -14*l**2 + 23*l + 64. Let v(o) = -3*o**2 + 6*o + 16. Let k(a) = -2*u(a) + 9*v(a). Solve k(q) = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, n: 1}. Give prob of sequence xx.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**4\/24 - i**3\/2 - 2*i**2. Let u be f(7). List the prime factors of (-14)\/(-8) + u\/16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 9*n - 12 - 2*n. Let i be a(4). Let p = i + 98. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)\/v)**49*v**18*v*v**(-6) assuming v is positive.\nAnswer: v**(-281)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 401 = 4*j, 3*c + 8*j = 7*j - 242. Let a = -72 - c. What is the least common multiple of 8 and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + -5*-1*sqrt(1053) - 6*(sqrt(1053) + 3 + sqrt(1053))) + 3*(2*sqrt(1053)*-2 + -2 + sqrt(1053)*2 + sqrt(1053)))**2.\nAnswer: 3888*sqrt(13) + 85869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 41*a**2 + 123*a + 21. Calculate q(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 283871*d**5 + 78639*d**2 - d?\nAnswer: 17032260*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/((-45)\/(-3)))\/(-1*(-3)\/45). Let o be 0 + -1 - -22 - -1. Sort o, 2, q, -4 in increasing order.\nAnswer: q, -4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.6, 1751 in ascending order.\nAnswer: 0.5, 0.6, 1751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**5 + 277055*y**4 + 1275972*y wrt y?\nAnswer: 40*y**3 + 3324660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**2 - 4 + 4 - w + (2*w - 2 + 2)*(-4*w + 3*w + 0*w).\nAnswer: -5*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23004 is divided by 77?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wss when three letters picked without replacement from swwwsssssw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -114977679318 and -0.003.\nAnswer: -114977679318.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c**2 - 3*c - 1. Let w(o) = -5*o**2 - 3*o - 2. Let z(k) = 4*m(k) - 3*w(k). Let l be z(-3). Solve l*p - 2*x + 13 - 3 = 0, 0 = p + 2*x - 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 218372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15171807 to the nearest integer?\nAnswer: 3895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/12*8\/(-2). Let m = -175\/2 - -265\/3. Find the common denominator of (-246)\/(-33)*(-3)\/v and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 658a (base 11) in base 8?\nAnswer: 20761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -444 equal to 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 228703 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 18*m - 154. Calculate the remainder when w(10) is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61956?\nAnswer: 2, 3, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12306015 divided by -855.\nAnswer: -14393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 562 divide 2635780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*i**2 + 45*i**2 - 94*i**2 + 25*i**6 wrt i?\nAnswer: 3000*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 180*a + 9. Let r(v) = -540*v - 30. What is -3*r(q) - 10*t(q)?\nAnswer: -180*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from {z: 1, u: 4, o: 1, w: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/6)\/(4*(-3)\/96)*(-3465)\/154?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 5. Let r be m(6). Let h(p) = 3*p**2 + p + 2. Calculate the remainder when 21 is divided by h(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11167 - -4?\nAnswer: -11163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8013\/2230 + 3\/446. Let t be -3*-22*(-1)\/15. Let d = c + t. What is the closest to 1 in d, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11123461 * 0.24.\nAnswer: 2669630.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 18 - 11 = -q, -3*f = 6. Suppose q = 5*p - 16. What is the highest common divisor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 - -20. Let g = -23 - v. Suppose -2*q - 10 = -4*f - 5*q, -5*f - 4*q = -g. Solve 0 = f*i - 3 - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 36, 864, 20\/3?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 3207420*d = 3207419*d - 23, -37 = 5*n + 2*d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqbuquuqbqbuqq. What is prob of sequence ub?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d + 16*d = -24 + 312. Suppose -4*x - 20 = 4*p, -4*x + 9*x = p + 5. Suppose x = d*o - 6*o - 60. Calculate the highest common divisor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**5\/80 + 103*b**4\/96 + 17*b**3\/12 + b**2 - 1869. Solve r(w) = 0.\nAnswer: -34, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -520933*d*f + 14230*f + 74 wrt d?\nAnswer: -520933*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 89424948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 2\/7 (b) -2\/23 (c) 0 (d) 0.2 (e) 9\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-4 + 9 - (-4 + 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 9*n**8\/56 + 13*n**4\/12 + 20*n. Find the third derivative of f(c) wrt c.\nAnswer: 1080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 684, 2895, 6586, 11763, 18432, 26599, 36270?\n\"Answer: p**3 + 734*p**2 + 2*p - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/25))\/s)\/(s**(5\/4)*s*s)*(s**(-3))**33 assuming s is positive.\nAnswer: s**(-10233\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 2*b**2 + 4 + (-3*b**2 + 3*b**2 + 2*b**2)*(-3 + 0 + 1) + 3*b**2 - b**2 + 0*b**2 + (5*b - b - 3*b)*(5*b - 4*b + 0*b) - 44*b**2 - 92 + 92.\nAnswer: -47*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 1348.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -104 + 115. Find the second derivative of 217*k**5 - 269*k**5 + k + 138*k**5 - r wrt k.\nAnswer: 1720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3 - 0, u = 4*r + 24. Solve 4*c + u = -4*j, j - 2*c - 2 + 8 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 15*w**3 + 33*w - 33. Suppose 0 = -0*c + 5*c. Let f(v) = c - v**3 + 0*v + 3 - 2*v - 1. Calculate -33*f(o) - 2*g(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3 + 48*l**2 - 8 + 12 in the form i + r*l**2 + u*l and give r.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/5*k**4 - 6*k**3 + 51\/5*k**2 - 144 + 264\/5*k = 0. What is k?\nAnswer: -3, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**30)\/((a*a*a**(-5\/2))\/a))**(-2\/57))**(-9) assuming a is positive.\nAnswer: a**(-165\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 2209*y**6\/200 - 6721*y**5\/100 + 283*y**4\/40 - 3*y**3\/10 + y**2 + 132*y + 8. Factor q(c).\nAnswer: 3*(c - 3)*(47*c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22802691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (2 - 8)) + (5 - (-4 - -12))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -14. What is the highest common divisor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2899260 and 8746101.\nAnswer: 524766060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**6\/20 - 37*y**5\/20 - 41*y**4\/4 - 16*y**3 + y**2 - 243*y. Factor z(v).\nAnswer: -3*(v + 2)*(v + 16)*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324776 >= 324782?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17 and 221.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/6*405\/10. Let s be (y - 13)\/(-1*2). Let p(z) = -2*z - 6. Is p(s) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 36 = -6. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.9886364 and 2.\nAnswer: -5.9772728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**6\/120 - k**5\/12 - 5*k**4\/24 + k**3\/2 - 1662*k**2. What is l(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15\/2)\/(-3)*-2. Let g(w) = -w**3 + 4*w**2 + 9*w - 13. Is 7 a factor of g(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**3 - 1 + 1)*(-2 - 3 + 3 + 126*i - 913*i).\nAnswer: 3148*i**4 + 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -8.2 and -63.\nAnswer: -71.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a - 27. Let h be n(-6). Let w be (24\/(-10))\/((-6)\/h*-3). Suppose -w*i - 415 = -11*i. What are the prime factors of i?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4487 * 121\nAnswer: -542927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*o + 4*o. Let k = 17 - o. Sort 5, -2, k.\nAnswer: k, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 32, -1\/7, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 37*k + 410. Calculate t(-16).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12889 is divided by 1399?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 5 + 1)*(4*r - 3*r + r) + r + 8*r + 4*r)*(0*r**2 + 2*r**2 - r**2).\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/2, -1\/3, -6, -46?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 173908561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 - 825 = -5*q. Suppose -4*t + q = -3528. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-42))\/(-16*(-48)\/(-3360)).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32736959 divided by -8?\nAnswer: 32736959\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 145\/6753314?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + o. Let a(h) = 7*h**2 + 6*h. Let z(p) = -a(p) + 6*j(p). Let n(f) be the second derivative of -f**4\/6 + 23*f**3\/6 + 2122*f. Give n(z(x)).\nAnswer: -2*x**4 - 23*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-56 + -8 - (-1)\/1)\/(-1). Let d = 129 - c. Let u be (d\/9)\/(7\/21). Calculate the highest common factor of 121 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 713607 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567725.\nAnswer: 5, 22709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15771 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3198*f**2 - 218*f + 1237. Is m(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 169*-0.4\nAnswer: -67.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*(1 + -1*(sqrt(1300) + 0 + 4))*6 + -1).\nAnswer: 426 + 1440*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 24321.\nAnswer: 1\/8107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -180, -180, -188, -210, -252, -320, -420?\n\"Answer: -i**3 + 2*i**2 + i - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40339484033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -314?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 419575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -420845878*b**3 - 21043*b**2 + 2380 wrt b?\nAnswer: -2525075268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((((sqrt(231) - (sqrt(231) - (3*sqrt(231) + sqrt(231))))*4)\/sqrt(11))\/((sqrt(270)\/sqrt(9))\/sqrt(10)*-5))**2.\nAnswer: 3584\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 179 = 14*o - 13*o, 2*a - 3*o - 181 = 0. Calculate the remainder when a is divided by 1*(-4)\/20 - 226\/(-5).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q + 14. Let g(a) = a**3 + a**2 + 1. Let v be g(-2). Let x be t(v). Solve 4*m + 3*w - 6 = 0, 5*m + x*w - 4 = 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.6 + -0.5. Let r = p + -0.9. Let l = 0.1 - r. Sort -2, -2\/7, l in increasing order.\nAnswer: -2, -2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o + 13 - 13)*(59*o + 44*o - 42*o) + o**2 - 3*o**2 + o**2 + (-1 - 4*o + 1)*(-2*o - 3*o + 4*o) to the form i*o + w*o**2 + l and give w.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -g - 39, -104 = -3109*g + 3113*g + 7*m for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**5 + 198*n**4 - 13886*n**3 + 8712*n**2 + 346525*n - 341550 = 0.\nAnswer: -253, -5, 1, 5, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.35958 years?\nAnswer: 0.00135958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-3)\/(-9)) - 11. Let i = 24 + v. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-106 - 15*h + 48 + 51)*(-h**2 + 0*h**2 + 0*h**2) to the form f*h**3 + g + i*h + k*h**2 and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*w**4 - 36*w**4 - 141*w**4 + (-3 + 2 + 0)*(-2 + 2 - w**4) - w**4 + 3*w**3 - 2*w**3 + 0*w**4 to n*w + v*w**4 + p + y*w**3 + i*w**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*x = 23*x + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f - 4. Let z be t(-3). Let k be (-2)\/4 - (-36)\/z. Let a = 6 - 3. Solve -k*r + a = -5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -36 - (-28 + -15)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l. Let t(o) = 42*o**2 + 22980*o - 22980*o. What is f(t(w))?\nAnswer: -210*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/(-70) + 33\/21. What is the third derivative of -5*d**6 - 8*d**5 + 20*d**2 + 75*d**z - 16*d**2 wrt d?\nAnswer: -600*d**3 - 480*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3992302?\nAnswer: 2, 167, 11953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(2\/3))\/(q\/(q\/q**(2\/7))))**(-4\/7)*((q\/q**(5\/4))\/q*q**1)**(-9\/7) assuming q is positive.\nAnswer: q**(173\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 - 3. Suppose 3*m = 10 + y. What are the prime factors of m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 10, 5*x - 44 - 76 = -p. Suppose -39 = -4*q - x. Solve 3*j - q = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.043045796 * 0.4.\nAnswer: 0.0172183184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p - 3*p + 5090 - 2*p.\nAnswer: -2*p + 5090","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10069576 and 3179?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -574979459.69 and 5059.\nAnswer: -574974400.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (7 + -11 + 6 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94\/9 - 725\/72. Let x = 13\/54 - 1\/54. Let f = 18 - 13. What is the third smallest value in f, g, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347591816 to the power of 1\/2, to the nearest integer?\nAnswer: 18644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0085 and 3215.\nAnswer: 3215.0085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4794 + -4795. What is the smallest value in a, 4, 25, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 75 - 117 = 0. Let o = -381 - -409. Let q = x - o. Solve -5*v + q = -0*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7162*q - 7155*q + 43*q**2 - 2905*q**3 - 43*q**2 + 14317*q.\nAnswer: -2905*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 7*p**6\/480 + 3*p**5\/40 - p**4\/8 - p**3\/2 - 7*p. Let a(t) be the second derivative of v(t). Factor a(m).\nAnswer: 3*(m + 2)*(7*m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 189934877 to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11555 (base 6) to base 10\nAnswer: -1727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-2 - (-2 + 1 + (31 - 34)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2058401906 to the nearest integer?\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -698*u**2 + u + 1. Let l(h) = -78*h. Give k(l(t)).\nAnswer: -4246632*t**2 - 78*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 44*p**2 - 2*p**4 - 24*p**3 + 3684*p - 52*p**2 - 3685*p to the form z*p**4 + k*p**2 + u*p + m*p**3 + j and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((9384\/135)\/(-23))\/((-82)\/5) and -20\/287.\nAnswer: 2583","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.3 - 13. Let o = y + 0.7. Sort 5, o, 0.5.\nAnswer: 0.5, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 435 - 205?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5684.366 micrometers?\nAnswer: 0.5684366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 516032*u**2 + 515985*u**2 - 1031992*u**2.\nAnswer: 25*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12236130 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g - 4 + 4. Suppose 16 = 2*z + 2*z. Let h(o) = -z + 1 + 2*o + 3. Give h(u(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7612 is divided by 2221.\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i + 4929 = 111*i - i + 3678 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18082400 a multiple of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**2 + 3*o**2 + 2*o**2 + (-2*o + 1 - 1)*(-2*o + 2*o - o) - o**2 + 0*o**2 - o**2 - 11 + 20 - 33 + 2*o**2 - 45 as v*o + h*o**2 + w and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + u - 17 = 0, -254964*z + 254965*z - 2*u + 7 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 242428 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 39 = -3*w, -5*n + 49 = 2*w - 27. What is the remainder when 267\/(-2)*(-6)\/9 is divided by w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55645897\/583518690 + -14\/341239. Find the common denominator of -119\/342 and t.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -3*y + 4. Let z be (-3)\/(y\/(-6)*-1). Suppose 0 = -5*t - z*d + 53, -56 + 11 = -4*t + d. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -94*y + 527. Let c be s(0). Calculate the highest common factor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2876594674 + -6996.\nAnswer: -2876601670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 74*l**2 + 0*l + 18*l**2.\nAnswer: -56*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 14740\/(572\/(-33) + 18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12522*k - 26 = -12524*k for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 92802.\nAnswer: -464010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6 + 16 = -5*y, -14 = -5*a - 3*y. Factor -2*j**2 + 9*j**2 - j**3 - 4 - a*j**2.\nAnswer: -(j - 2)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 5*i - 15 - 20, 0 = r + 3*i - 14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 22*c - 9. Let s be z(-2). Let g = -53 - s. Let b(f) = f**3 + 2. Give b(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*n - 3*j, -j + 2*j - 10 = -3*n. Solve h = n*h + 5*f - 16, 0 = -h - 3*f + 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/269078 and -41\/16102?\nAnswer: 22333474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j + 8. Let b be u(-7). Let c = -30 - b. Suppose 0 = h - c*h + 60. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 2*g + g = 9, -p + 2*g = 4 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 40. Let d = t + -13. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 - 56 = -10*v. What is the second derivative of 10*j - 5*j**3 + 14*j**3 - v*j + 5*j wrt j?\nAnswer: 54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11045 and 25184809.\nAnswer: 2209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1618592 is divided by 30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63814687723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -7*r. Let s = r + 2. Let p(u) = -u - 6. Let c be p(-6). Solve c = 5*d + s*l + 5, 5*l = 5*d + 3*l - 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -14*g**3 + 251*g**2 + 22*g - 88. What is f(18)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**3 - 2*s**2 - 3*s - 1. Let o be w(-1). What is the second smallest value in -1\/2, 1, o?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 7*y. Let l(i) = -i**3 + 8*i**2 - 2*i + 16. Let j be l(8). Let m be a(j). What is the smallest common multiple of 9 and (m\/(-3) + 2)*(-6)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 111.5 - 112. Which is the fourth smallest value? (a) g (b) -5 (c) -7\/4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 0)*(-1 + 2*u + 1) + (3*u - 4*u + 3*u)*(-1 - 1 + 4))*(110*u - 190*u + 99*u).\nAnswer: 38*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 59*n + 92. Let w be k(5). Let f be -2*((-90)\/w)\/(-10). What is the second smallest value in 0, -2\/15, 2\/9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11665377 to the nearest integer?\nAnswer: 3415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 641*i**2 - 179*i**2 - 158*i**2 - 157*i**2 - 149*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 2494, -457 in increasing order.\nAnswer: -457, -3, 1, 2494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.09 - -0.08. Let u = r + 0.41. Let i = -211 + 2323\/11. Which is the biggest value? (a) i (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 2*r + 9. Suppose 5*z = 2*s + 84, 16*s = 17*s - 3. List the prime factors of 1155\/(-6)*z\/r.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -1 (c) -1\/3 (d) -7\/6 (e) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -5, 279, -7 in descending order.\nAnswer: 279, 2, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -948 - -957. Suppose 5*i - 2*i = p*i. Let h = 0.06 - -0.06. Sort h, -3\/4, i in descending order.\nAnswer: h, i, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1036 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*n = -n + 8, -3*d = -2*n - 23. Let k(g) = -2*g + 5*g + d*g - 4*g. Let x(p) = p. Determine k(x(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1480*k + 91856 = -379*k - 51274 for k.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -229076219*h**4 + 808982*h - 3.\nAnswer: -2748914628*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -962 - -966. Factor -2*v - 84*v**2 + 363*v**2 - v - 31*v**2 + p*v**2.\nAnswer: 3*v*(84*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -491*z**4 - 27*z**3 - 14895*z**2 wrt z.\nAnswer: -11784*z - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2.61 times -0.5\nAnswer: 1.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*o - 97*o - 109*o)*(-o + o + o).\nAnswer: -254*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -15*w**3 - 45460*w**2 - 34413200*w + 45965120 = 0.\nAnswer: -1516, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-40) - (-26436)\/2580 - 11?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -89 (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 807500786?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.65 * -93199.\nAnswer: 60579.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 477, 986, 1495, 2004, 2513, 3022?\n\"Answer: 509*c - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 75*l**3 - 6 - 48*l**4 - l**5 + l + 13*l**5 + 3 - 57*l**2 + 20*l = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-6)\/8 + 2193\/(-68). Let t be 62500\/(1 + 36\/y). What is t rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r**2 + 2*r - 23. Does 21 divide y(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 9*b - 6. Determine s(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - ((-5400)\/25)\/(-9). What is the fourth smallest value in c, 2, 5, -0.049?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244, -174, -56, 110?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, b: 1, a: 2, z: 1}. Give prob of sequence zb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 + 17\/(-4))\/((-192)\/356352)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113882553 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.31 plus -386.2?\nAnswer: -365.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2472 divided by 6?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6248781 rounded to the nearest 10000?\nAnswer: -6250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007652 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -13 - (-3208)\/168?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x + 75 = -0*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 4:07 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6 + 91\/(-105)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**3 - m. Let q be b(1). Suppose i - 4 = u, -4*u = i - q*i + 14. Let c be (2\/4*0)\/i. Solve c = -4*v - 0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122 + 125. Suppose -3*g + r + 4 = 0, -2*g = s*r - 22 + 1. Solve -6*d + 4*d = -2*u + 4, 5*u + 6 = -g*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mymymyyyyyy. Give prob of sequence ym.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -4) + -7 + (-1 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b - b - b + (b + 1 - 1)*(-1 + 2 + 1) + 9*b + 7*b - 7*b.\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 11. Suppose 2*w - 5*w = k + 16, 5*w + 2*k + 27 = 0. Is 3 a factor of s(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 3:52 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x - 1. Let r be f(1). Let o(v) = -v**3 - 6*v**2 - 4*v + 5. Let m be o(r). Let w(b) be the second derivative of b**3\/6 + b. Calculate w(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 45*g**2 - 92*g + 258. Let w be z(43). Solve -24*x = -22*x - q + 4, -2*x - q + 4 = w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c**2*f**3 - 14*c**2*f**2 + c**2 + 5*c*f - 33*f wrt f?\nAnswer: -24*c**2*f - 28*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -476 or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -535341.9 and 11960925.\nAnswer: 11425583.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*j + 3*w - 705 = -38*j, 2*j - 3*w = 430. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48018 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: Let h(s) = -11*s + 14. Let d be h(1). Which is the smallest value? (a) d (b) 1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(190)*2 - sqrt(190) - (1*3*sqrt(190) + sqrt(190)))\/(2*6*1*sqrt(250)).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 63 = 2*w + w, 31*k - 27*k = 25*w - 525 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7144\/(-705))\/(-76))\/((-108)\/15)?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1128)\/(-940)*20\/33.\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-17\/5)*f)\/(f\/(f**(-18)*f*f)))**(-8\/15) assuming f is positive.\nAnswer: f**(232\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -86 + 68 + (-2 - 0).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z + 16. Let w(n) = n - 3. Suppose -2*p = 6, -3*f - 5*p + 11 = -7. Let b(j) = f*w(j) + 2*i(j). Let l be (13 - 10)*-2*-1. Give b(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20174 divided by 1.\nAnswer: -20174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 304580 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**3 + 7*p**2 - 2*p + 5. Let l(s) = -s**3 - s**2 - 1. Let g(q) = 5*l(q) + n(q). Let y(c) = -3*c**2 + 3*c. What is 3*g(h) + 2*y(h)?\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 20*q**3 + 13*q - 3. Calculate h(2).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1605, -3210, -4815, -6420, -8025, -9630?\n\"Answer: -1605*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -46199864 divided by 46199864?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-30)*45\/2. What is the highest common factor of 10 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 4*p**2 - 2*p + 2. Let h(d) = 3*d**3 - 17*d**2 - 9*d + 9. Let j = 208 + -228. Let r = -29 - j. What is r*z(k) + 2*h(k)?\nAnswer: -3*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 109477403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/919 - 926\/6433. Which is the biggest value? (a) -5 (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2, -0.4, -2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 918 = 2*x - 1228. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51\/3068429 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 11:58 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(136) - (sqrt(136) + (-3*sqrt(136)*-3 - sqrt(136))) - sqrt(136)) + sqrt(136) + sqrt(136))\/((-2*sqrt(80))\/sqrt(10)))**2.\nAnswer: 2499\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6 = 2*h, -w + 7*h = 12*h + 8. Let c(f) = 2 - f**2 + 16*f**3 - 2. Let p be c(1). Solve 0 = w*x - 5*x - p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12220 + 210243?\nAnswer: 223013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -10 - 8. Let f(k) = 2*k**3 - 4*k**2 + 6*k. Calculate the remainder when f(4) is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**5 - 2*o**4 + o**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*x + 9, -3*x + 2*f = -7*x + 34. Let v = 8 + x. What is the remainder when 50 is divided by 2*(2 - -2 - v\/(-6))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 0, 7, 14, 21, 28, 35?\n\"Answer: 7*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 31*u. Let i(v) = 6*v. Give f(i(t)).\nAnswer: 186*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-6))\/((-1)\/(-6)). Which is the nearest to -0.1? (a) n (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -283*i**3*q*v**2 - 3*i**3*v - 26*i**2*q*v**2 + 3*i**2*v**2 + 61*v**2 with respect to q.\nAnswer: -283*i**3*v**2 - 26*i**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/79 <= 1133282\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -14*z**3 - 3. Let u(k) = -323*k**3 - 68. Calculate -68*j(p) + 3*u(p).\nAnswer: -17*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.536191 millennia to years.\nAnswer: 1536.191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15739972, -15739974, -15739976, -15739978, -15739980, -15739982?\n\"Answer: -2*t - 15739970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9101919 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + p + 5. Let i be n(0). Suppose -13 - 12 = -i*w. Suppose -w*m = -6 - 39. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*m - 13 = 27, 3*i - 2*m - 128 = 0. Let h = i + -20. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 2*j + 4*j)*(-2079 + 2*j**3 + 76*j**2 + 2079).\nAnswer: 2*j**4 + 76*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 3*u + 1162, -2*u - 855 - 303 = 5*a. Let c = 385 + -1964\/5. What is the common denominator of a\/(-4)*16\/20 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 2. Let a be t(10). Suppose j - a = -3*j. Find the first derivative of m**3 + m**3 + m**3 - j wrt m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30174 divided by 47\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2809*d**3 + 9*d**2 + 13*d + 3. Let v be m(-1). What is the greatest common divisor of 1521 and v?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716746 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -41*w**7\/210 - w**6\/10 - 81*w**4\/2 + 327*w**2. What is the second derivative of t(o) wrt o?\nAnswer: -492*o**2 - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*i + q = -56, -5*q - 40 = -i. Suppose -100 = -5*c - 5*t, -76 = -c - 2*c + t. Calculate the greatest common factor of c and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -81 + 106. Solve 5*q - h = -l - 0, -5*h + 37 = -3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3388 at least -3388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 7994 = 8181 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 8*a**2 - 6*a - 3. Calculate r(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 637?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*n = -247*n - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 66 = 9*m. Which is smaller: -41\/9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -410301?\nAnswer: -410304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.9925 tonnes in nanograms?\nAnswer: 39992500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 147.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*q - 2*y - 64, -4*y + 304 = 4*q. Suppose 2*s + 5*a - 51 = 0, -4*s + a + q = 5*a. Solve -4*o = u - 1 + s, 8 = 2*o + 4*u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a gram in milligrams?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -13*u**5\/60 - u**4\/3 + 575*u**3\/3 - 9*u**2 + u. What is the first derivative of j(z) wrt z?\nAnswer: -26*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/17, -0.02, -3, -5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-3))\/(4\/(-162)). Does 18 divide (d\/(-15))\/(2\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657432.\nAnswer: 2, 3, 23, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 1\/20*l**5 + 23\/8*l**2 - 2*l + 5\/16*l**4 + 38 - 7\/4*l**3. Factor a(p).\nAnswer: (p - 1)**3*(p + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = -0*g + 3*g. Suppose -7*f + g = -2*f. Differentiate -5*d + 3*d + f - 8 with respect to d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**6\/120 + j**4\/8 + j**3\/3 + 2*j**2 - 6*j. Let i(h) be the first derivative of k(h). Determine p, given that i(p) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86250191 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 442\/7 (b) 9 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -8*h - 615. Give o(-78).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -1404171?\nAnswer: 1404170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, a: 7, i: 1}. What is prob of picking 2 a?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4806.6 or 988?\nAnswer: 4806.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -218 - -66. Let h = 151.9 + o. Which is smaller: 61 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -600 divided by 2\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 111001100101110?\nAnswer: -111001100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 326 and 10?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + ((sqrt(315)*-1)\/sqrt(9))\/(sqrt(45)\/(sqrt(36)\/sqrt(4))))**2.\nAnswer: 2*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 11 = -0*b - 3*t, 2*t = 3*b - 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-14 - (15 + -26 + 33))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2590378 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q - 3*q + 2*q)*(6 - 6 + 8) - 2*q - 3*q - q in the form f*q + d and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 10:09 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4 - 7, 3*q - 4*z - 241 = 0. Calculate the remainder when q is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.0492338 plus -0.0666?\nAnswer: 59.9826338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbttbottotb. Give prob of picking 1 o and 1 t.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2929 divide 72445886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-4)*(-16)\/(-160)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -89.65 to zero decimal places.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 41*i + 276. Calculate b(33).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 11*h**2 - 8*h + 48. Give v(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**3*l**3 - 2*k**3*l**2*o - 2*k**3*l - k*l*o**3 - 2*k*l*o + 2*l**2*o**3 + 3*l*o**2 wrt l.\nAnswer: 6*k**3*l - 4*k**3*o + 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 34*v - 38*v = 24, -2*z - 5*v - 17 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17457992?\nAnswer: 2, 2182249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148727, 594944, 1338635, 2379794, 3718415, 5354492, 7288019?\nAnswer: 9518990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.0179 to 1 dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*p = -388*p - 42 + 341 + 718 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225069.\nAnswer: 3, 13, 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 20*c**5\/9 - 886*c**4\/3 + 2360*c**3\/9 + 710*c**2\/3 - 2380*c\/9 + 176\/3 = 0?\nAnswer: -1, 2\/5, 1\/2, 1, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -96987102 and -0.1.\nAnswer: 9698710.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 85?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -85b (base 16) in base 13?\nAnswer: -c87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.595 times -2625?\nAnswer: -164311.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5246 a factor of 22800845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 1:52 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**3 + 16503*j**2 + 1220490*j + 1203984 = 0.\nAnswer: -72, -1, 5574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -303414424433?\nAnswer: 303414424431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24 + 9263?\nAnswer: 9239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 30?\nAnswer: -2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 - 62*b**2 - 2*b - 18. Determine c(31).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 5*y - 104 = 0, 5*x = -596910*y + 596907*y - 56 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 60 = q. Suppose 10 = 2*a + 3*y, 2*y + 9 = -a - 3*y. Let u = 33 - a. Calculate the smallest common multiple of q and u.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-1) + (-3 - -2). Suppose 58*o + 812 = 54*o. Let m = o + 4265\/21. Is m at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20.225 + 20. Let v = -47252200 + 47252200.22500247. Let n = v + p. Round n to 7 decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 53?\nAnswer: -15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -44*x**3 + 136*x**2 + 84*x - 56. Let a(g) = 5*g**3 - 15*g**2 - 9*g + 6. Determine -28*a(u) - 3*y(u).\nAnswer: -8*u**3 + 12*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 289 and 51.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 414\/69 + (-160)\/26.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 62, 63, 64, 65, 66?\n\"Answer: i + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1345\/4 + 337. Let f(k) = k**2 - 10*k + 12. Let d be f(8). Sort d, 0, -1, b in descending order.\nAnswer: b, 0, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 4:29 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-454)\/(-4) - -2)*2. List the prime factors of (-2)\/8 + y\/28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 1. Let p(w) = w**2 + w - 4. Let q(b) = p(b) + z(b). Let h(n) be the first derivative of q(n). Let d(v) = 1 + 4*v**2 - 1. Calculate d(h(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2242 divide 814482728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, a: 1, w: 2}. What is prob of sequence nn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-68) + 26162\/2159.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1620 = -156*w - 168*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 92*j**3 + 12*j**2 - 2*j. Let f(r) = -92*r**3 - 10*r**2 + 2*r. Determine 4*b(h) + 5*f(h).\nAnswer: -92*h**3 - 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111010000010000000 (base 2) to base 4.\nAnswer: -10322002000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.66 and 78507.\nAnswer: 78506.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3310330230 (base 4) to base 7\nAnswer: 11346045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/sqrt(54) + (sqrt(102) - sqrt(102)*1)\/sqrt(6).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 67 - 0?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(27)*-1)\/(sqrt(324)*-3 - sqrt(9))*-2.\nAnswer: -4*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -913, 13, -139 in descending order.\nAnswer: 13, 1, -139, -913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -9472100 to the nearest ten thousand.\nAnswer: -9470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + j + 1. Let p(c) = c**2 - 2*c - 1. Let y(w) = -3*i(w) - 2*p(w). Let m be y(0). Let v(g) = -4*g**2 + g. Give v(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -2*m**7\/7 - 4*m**6\/15 - m**5\/15 - 6*m. Factor g(n).\nAnswer: -4*n**3*(3*n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 8. Let n be p(-4). Suppose n*x + 36 = -4*m - 0*m, 3*x + 4*m = -32. Let w = 0 + x. Let h(j) = -j**2 - 5*j - 1. Calculate h(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/9*4\/6*-27. Calculate the greatest common factor of l and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (2 - (3 - (-2 - -4)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(357)*2)\/((sqrt(847) - (sqrt(847)*2 - sqrt(847))) + sqrt(847)))\/(sqrt(3) + sqrt(24)\/(sqrt(32)\/sqrt(4)) - (-2*sqrt(27))\/sqrt(9)).\nAnswer: -sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*(f*f**(-1\/2))\/f)\/f)**(-6\/7)\/(f**(-1\/2)*f*f\/f**(-3\/2))*(f**1)**(2\/85)*(f**(1\/14)*f)\/f**2 assuming f is positive.\nAnswer: f**(-5157\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.56178ug in nanograms?\nAnswer: 10561.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**3 + 4*h - 4*h)*(-86 - 58*h + 113*h - 54*h) as d*h**2 + o*h + l + g*h**3 + r*h**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*i = 4*y + 16, -2 = -4*i - 2*y. Suppose j - 75 = -i*j. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 0. Suppose -f + 4*f = 9. Suppose 2*s = -f*s + 20. Solve 0 = -s*z + c + c - 6, -18 = u*z + 2*c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/2313 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -20*m**3 - 2*m**2 - 3*m - 8. Let k be j(-2). Suppose 2*h + 0*h = -k. Let v = 77 + h. Solve v + 3 = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((54\/(-168))\/(-9)*1032\/(-387))\/(3\/(-98))?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34.83 + -35. Let x = 0.03 - s. Is x at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - 4\/(-3 - -2). Suppose 2 + 4 = v*j. Solve m + 9 = -j*i, -i + 3*m - 21 = -8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/r**(5\/2))\/r)\/((r\/r**5)\/r))\/((r\/(r\/r**(2\/7)))\/r*r*(r*(r\/((r\/r**(-1\/5))\/r))\/r)\/r) assuming r is positive.\nAnswer: r**(239\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i + 10*i**2 - 332 - 3*i**4 - 12*i**2 + 189 + 242 + i**3 in the form u*i**4 + v*i + d*i**3 + x*i**2 + h and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11320 is divided by 2728.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -102, -108, -126, -162, -222, -312?\n\"Answer: -i**3 + i - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*-26598.\nAnswer: -21278.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2531591521?\nAnswer: 19, 173, 770183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -54 - 114?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 23*v + 2713 = -5*y, 4*y = -4*v - 0*y - 404 for v.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(-8\/3)*o)**10)**(-26))**(1\/10))**(10\/3) assuming o is positive.\nAnswer: o**(1300\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33985*o - 33994*o + 42*o**2 + 6*o**2 to c + z*o + h*o**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 v when four letters picked without replacement from {b: 6, v: 3, i: 6}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/29575 and 1\/5915.\nAnswer: 29575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 887850?\nAnswer: 2, 3, 5, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1045\/219, -0.3, 6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.16 (b) 0 (c) -0.5 (d) 0.1 (e) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 36367587, 72735173, 109102759, 145470345, 181837931?\n\"Answer: 36367586*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**5 - t**4 - t - 1. Let d(u) = 7*u**5 - 140*u**4 - 16*u - 4. Let h(r) = d(r) - 4*y(r). What is the second derivative of h(c) wrt c?\nAnswer: -20*c**3 - 1632*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 0\/(-2 - -1). Suppose s - m = 2, -s - 3*m = -5*m - b. Solve s*i - 6 = -0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 985123 divided by -1.\nAnswer: -985123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h + 11. Let n(s) = -9*s - 22. Let j(o) = -9*d(o) - 4*n(o). Calculate the remainder when 62 is divided by j(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161081 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 2:44 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**5 + 7*v**4 + v. Let c(a) = 123*a**5 + 261*a**4 + 252*a**3 + 444*a**2 + 270*a. Let x(z) = c(z) - 30*o(z). Find d, given that x(d) = 0.\nAnswer: -10, -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 40, 3 in descending order.\nAnswer: 40, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 + -0.31. Let z = p - 0.2. Let i = 14 - 9. Which is the second smallest value? (a) z (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from zzvrlzlsslrz.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) - (-168)\/9. Let c be (-42)\/(-8) - y\/76. Let m = -14 - -9. What is the third biggest value in -4, m, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.6 - -20.6. Put u, 23, 0.5 in ascending order.\nAnswer: 0.5, u, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 6*f + 19. Let j be o(8). Suppose -5*h + 1025 = -4*u, -j*h - 4*u = -7*u - 612. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, o: 4, j: 4}. What is prob of picking 1 j and 1 t?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -133*z - 8. Let c be q(7). Let j = c - -4723\/5. Calculate the common denominator of -149\/6 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 1\/2, 7.9, -8\/3, 8, -6.7, -1\/12?\nAnswer: -6.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -155 + 201. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 0 + 2*q**3)*(-q + 3*q - q) - 3*q**4 - 4 + 4 + 291*q**2 - 291*q**2 + 17*q**4)*(-4 - 5 - 22) to b*q**2 + n*q**4 + p*q + x + u*q**3 and give n.\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -93129 and -5.\nAnswer: -93134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 3)*(6*i + 2*i**2 - 36*i + 6*i) in the form k + f*i + r*i**2 and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 = -0*k. Let f(z) be the second derivative of 0 + 1\/2*z**2 + 1\/6*z**3 + z. Let p(d) = 4*d + 1. Determine k*p(v) - 3*f(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -53\/3 < -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 81?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -23*u**4\/24 + 25*u**3\/3 - 4180*u**2. Let v(l) = -8*l + 17. Calculate 6*g(y) - 17*v(y).\nAnswer: -2*y + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllllll. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*((-2 - -2) + 121*7). Let o = -970 - w. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 5*k - k. Suppose 0 = 3*g + 4*o - 14, k = g - 3*o + 4. Let j(z) = 2*z + 5. What are the prime factors of j(g)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -347 - -346. Let r be 14\/10 - (-2)\/(-5). Suppose 0 = -2*o + o + r. Is o != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52\/119 + 223\/238. Let u = -498 + 3492\/7. Sort 3, r, u, -0.2 in ascending order.\nAnswer: -0.2, r, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10117*k**3 + 30322*k**3 - 10106*k**3 - 10107*k**3.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-94)\/(-4))\/(-6 + (-121)\/(-22)). Let v = -50 - g. Put -2, 4, 40, v in descending order.\nAnswer: 40, 4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d = 32*d + 12. Let n be (5\/(-3))\/(d*1\/(-84)). Calculate the highest common divisor of 10 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198*h + 98*h - 244*h**3 + 975*h**3 + 100*h.\nAnswer: 731*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**1)\/u)\/(u**1\/u)*u**(-7)*u**(-2) assuming u is positive.\nAnswer: u**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a century in years?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -r + 17, 13*r + 6 = 4*r + 7*r for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -277 + -422. Let f = -28 - a. Is 40 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 31 = -5 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2654348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6430 and 5144?\nAnswer: 25720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -3, 3 in descending order.\nAnswer: 3, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 225889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-138)\/92)\/(18\/(-16)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (3 - 2) + 18. What is the lowest common multiple of (-99)\/(-21) + 6\/y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -6 + -3 + -20 + 11.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/7)*f)\/(f*f\/(f\/f**(2\/9)))*(f**(-1)*f)**(-5))\/(f\/(f**(-2)\/f*f*f)*f**(1\/8)\/f)**(3\/17) assuming f is positive.\nAnswer: f**(67\/8568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 379877.31ms?\nAnswer: 0.105521475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.257, 14\/573, 32.\nAnswer: -0.257, 14\/573, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -18 + 9 + 13*z + 24 - 15. Let d(o) be the third derivative of 3*o**5\/20 + 2*o**2. What is i(d(c))?\nAnswer: 117*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 5*k**2 - 6*k - 2. Let d be p(-4). Let h(v) = 4*v**2 - 7*v**2 - 6 - v**2 - 8*v**2 - 7*v. Let o be h(d). Round o to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -294773*u**4 - 13*u**2 - 3455379*u.\nAnswer: -3537276*u**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -788 = 142*t + 102 + 1382 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a day in hours?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 816.6707ms?\nAnswer: 816670.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20823482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3139404598?\nAnswer: 2, 11, 142700209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 3) to base 15.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7403646 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 130*m**6 - 14*m**2 - 2*m.\nAnswer: 15600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 + 35*v - 12. Let d be s(17). Let q = -8 + 3. Sort 4, q, d in descending order.\nAnswer: d, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -2 (b) 31\/5 (c) 0.232 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 3*q - 6*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 163 times 3\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 548650447.9 to the nearest 10000.\nAnswer: 548650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**4\/4 + 13*z**3\/3 + 6*z**2 + 20*z + 561. Determine m(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 28*y**2 - 29*y - 213. What is the thousands digit of g(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99742213 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 126*s + 6674. What is i(-60)?\nAnswer: -886","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*s + 107*s = 1971*s + 1747 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4351?\nAnswer: 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 1)\/((-1)\/(-49)). Suppose v + d - a = 0, -v - 2*v + 149 = 4*d. What is the remainder when v is divided by -17 + 16 + 18 + 7?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/(-4)*4\/6. Let i(a) be the third derivative of 0 - 1\/240*a**k - a**2 - 1\/24*a**3 + 0*a - 1\/48*a**4. Determine o, given that i(o) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 12, -2*h + 4*c + 12 = 3*c. Suppose h*f = -f + 225. Calculate the highest common divisor of 15 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 + 3)*5\/2 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sscc when four letters picked without replacement from {j: 3, s: 2, c: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4429918, 8859831, 13289746, 17719663, 22149582?\n\"Answer: x**2 + 4429910*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + a - 5. Calculate q(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-8))\/((28\/(-20))\/7))\/(-5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.69 - 3.788. Let n = a + -1.902. Which is bigger: n or 48\/11?\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 0) + 7 + (-22 - -10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -4. Let i(f) = 6*f - 2. Let m(t) = -1. Let a(d) = k*m(d) + i(d). Let l(b) = 11*b + 7. Determine -7*a(q) + 4*l(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*k = t + 123*k - 14, -t - 5*k = -14. Calculate the remainder when 752 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 817300.6 nanograms to kilograms.\nAnswer: 0.0000008173006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1914\/(-180) + 3 + (-188)\/(-1410)\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyya when four letters picked without replacement from yyyayayyy?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + z - 2. Let g(y) = y + 3. Let b be g(8). Let l = -216 - -214. Let q(d) = d - 11 - d**3 - 4*d**3 + 4*d. Calculate b*p(x) + l*q(x).\nAnswer: -x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -599 - -4599. What is z rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 4*u + 16, -3*u - 17 = 2*a - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.9 - 1.64. Let n = s - 0.22. Let b = 1 - 0.8. Which is smaller: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 712.0787 days?\nAnswer: 61523599680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 1.6. Let s = 4.657 + 2.903. Let o = s + a. What is o rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -589615 from 53047183.\nAnswer: 53636798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -8.\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-26)\/(-5) - (-18)\/(-90). Calculate the greatest common factor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r**2 - 4*r + 4. Suppose 0 = 7*g - 2*g - 135. Let n(p) = 9 - 15*p + g*p**2 + 7 - 1. Let l = 15320 + -15335. Calculate l*o(z) + 4*n(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 + 1092*w - 465*w - 628*w.\nAnswer: -w - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2000670 (base 8) to base 4\nAnswer: 2000012320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, e: 4, y: 4, c: 1, x: 2, p: 1}. Give prob of sequence jx.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22200, 44396, 66590, 88782, 110972, 133160, 155346?\n\"Answer: -v**2 + 22199*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**5 - 3*l**5 + 11*l**5 + (-l**2 + 1 - 1)*(28*l**3 + 249 - 249).\nAnswer: -18*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 1:32 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3956 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 6\/((-1)\/1). Let i(a) = -2*a - 3. Suppose -3*u = 0, -8*u + 9 = 3*l - 3*u. Let w(q) = -1 - 2*q + l + 2 + 5*q. Calculate g*i(x) + 4*w(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w = 17*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 175223 in 3\/17, -0.5, -3\/4?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.7 - 0.8. Let t = 1.7 - n. Let s = 5505\/4 - 1376. What is the fourth smallest value in 5, 1, t, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 8252*h - 381705. Calculate q(46).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1378, 1241, 1104, 967, 830?\nAnswer: 693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008312978 rounded to seven dps?\nAnswer: 0.0000831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n**2 + 0*n**2 + 0*n**2)*((-5 + 4 + 0)*(-4 + 21 + 0)*(-1 + 5 - 3) + 18 + 24 - 6) in the form l + o*n**2 + p*n and give o.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2*sqrt(264)*-6)\/sqrt(6) - (3 + (0 + sqrt(2816) + 0)**2))*6.\nAnswer: -16944 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*x + 1. Suppose -14 = -i - 0*i - 4*t, x*i = -2*t + 12. Suppose -a = -9 - i. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*c - 472, 3*q = -0*q - 3*c + 432. Suppose -5*p = -22 - 3, 0 = -4*f - p + q. Calculate the remainder when f is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3577, -7160, -10743, -14326, -17909, -21492?\nAnswer: -25075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 12*q**2 + 761*q + 2193. Determine b(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 185 - 184.5. What is the closest to 7\/2 in i, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250) + 1*sqrt(250) + sqrt(250) - sqrt(360)\/sqrt(4))\/(sqrt(36)\/sqrt(2)*2) + 1.\nAnswer: 1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**3 + 0*p**3 - p**3 + (-18*p + 24*p + 39*p)*(-3 + 3 - 2*p**2) + 0*p**2 + 0*p**2 - p**3 in the form o*p**3 + u*p + j + g*p**2 and give o.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 26*y - 6. Calculate the remainder when 343 is divided by h(5).\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4560 divided by 1520?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4123\/682 + (22 + -10)\/(-2)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*w - 1 + 8*w)*(-1 - 2 + 0) to the form c*w + v and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2497356 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m + 30. Let t be w(7). Solve 5*j - t*j = -2*g - 12, -3*j - 5 = 2*g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u - 4. Let i be n(3). Does 7 divide 3\/(i\/112*6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -239508*q + 479019. Determine y(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36.7 - -31.2. Let y = -3.5 - s. What is the nearest to -0.1 in -3, -42, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 54*((-21)\/(-9) - 2). Suppose 6*j - 3*j - k = 0. Let u be -5*(-1)\/(-5)*-2. Calculate the highest common factor of u and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38756 - 155466. What is t rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, 3, 0.6 in ascending order.\nAnswer: 0.6, 3, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**3 - 8833*q**2 + 974788*q + 983620 = 0?\nAnswer: -8942, -1, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*t - 3*t = 12, -t - 4 = 0. Suppose -9*z - 2*z + 3234 = f. Does 42 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u**2 + 2*u**2 - 6*u**2)*(-u + 2*u - 4*u)*(-17 + 3 + 11) to the form g*u + b*u**2 + l + o*u**3 and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/176 and 77\/25384.\nAnswer: 558448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1235\/507)\/(-2 - 0) and 85\/4.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 112371, -0.1.\nAnswer: -0.1, 2\/5, 112371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 to the power of 1\/2, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1257084 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + 4 + 4 + (-28 - -7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -9*q**2 + 3*q + 6. Let y be (7\/35)\/((-4)\/(-20))*7. Let j(l) = 5*l**2 - 2*l - 3. What is y*j(a) + 4*s(a)?\nAnswer: -a**2 - 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2748367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2))**(-37) assuming t is positive.\nAnswer: t**74","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-14) + 13780\/(-819) + 12. Is a >= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.04, -3, 2 in decreasing order.\nAnswer: 4, 2, -0.04, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70039003 is divided by 23346329?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -10*v**2. Let h(t) = 3*t + 1607. Give h(n(y)).\nAnswer: -30*y**2 + 1607","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 175 times -134230\nAnswer: -23490250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p. Let y(g) = -4*g. Let o(j) = 6*c(j) + 5*y(j). Determine o(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 16*j = 15*x - 17*x - 508, 22*j + 1201 = 3*x + 463 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88893663\/4640 + 95791\/5. Calculate the common denominator of -103\/1160 and w.\nAnswer: 4640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2 + (2 + 4 - 1)*(-1 - 2 + 1) + 2 + 7 - 4)*(14*x - 2*x + 0*x + (2 - 4 + 0)*(3*x - x - x)).\nAnswer: -70*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5784?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 215 + 1?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15081977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2145 + 1.375.\nAnswer: 2146.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73.6094 - 0.0206. Round n to the nearest integer.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 36. Is 230*(-1)\/(-10)*n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 362856 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -76*t**3 + 80*t**3 + 1 - 3*t - 2*t. Let p(o) = -5*o**3 + 5*o - 1. Let m(q) = 4*j(q) + 3*p(q). Is m(4) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235403 (base 7) to base 2.\nAnswer: 1010011011101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13 - 6) + 0 + -741814 + 7. Round c to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-1)\/h)\/h)\/h)\/h**4)**(-31)\/(((h\/(h\/(h\/(h*(h\/(h**(-2\/23)\/h))\/h))*h))\/h)\/(h\/(h**(-3\/8)*h)*h))**(-2\/15) assuming h is positive.\nAnswer: h**(341419\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.00492162 and 0.1.\nAnswer: 0.10492162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -11*d + 10. Let j(a) = 5*a - 5. Let g(h) = -5*j(h) - 3*k(h). Let i be g(2). Suppose -8*s = -i*s + 243. Is 30 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -470*v + 9400. Give b(20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12767 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 336 = 164. Suppose d + d = p. Solve -s - 2*s + 15 = 0, 5*v - 5*s + d = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.57 - 0.13. Let w = a + 8.8. Round w to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2918 + -1627. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16\/19 or -2?\nAnswer: -16\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-7)*r**(-14))\/(r**(-11))**34)**41 assuming r is positive.\nAnswer: r**14514","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*y + 5472 = 2248 + 1706 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6673251 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4 + (-2*sqrt(448)*6)**2 - (sqrt(448)*2 + -1 + (-3*(1 + sqrt(448) - sqrt(448)) + sqrt(448))**2)).\nAnswer: 32*sqrt(7) + 64055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -127*m**3*w - 225*m**2*w**2 + 545381*w**2 wrt m.\nAnswer: -381*m**2*w - 450*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 2\/21*w**3 + 2\/7*w**2 + 0*w + 5. Find t, given that q(t) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10538.66 rounded to the nearest ten?\nAnswer: 10540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100 - -1011111110100?\nAnswer: 1100000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4552121, -18208490, -40969107, -72833972, -113803085, -163876446, -223054055?\nAnswer: -291335912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7609, -7179, -5993, -3667, 183, 5941, 13991?\nAnswer: 24717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 618 and 10?\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45497945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 5260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*c + 2*g, 9 = 3*g. Suppose 2*m - 28 = -3*h, -m - c = 2. Let q be ((-16)\/h)\/(2\/(-9)). Solve 5*k = 2*k + q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 6 + 2 + -4. Suppose 0 = -0*z - 5*z + 5*h + 5700, -3*z = i*h - 3445. Let t(o) = 1145 - 2*o - z. Let k(m) = 6*m**2. Determine k(t(j)).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 7:36 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -806 + 1157. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2 + 3 + 4 + i - 1. Let y(f) = -f**3 - 4*f**2 - f + 5. Calculate the remainder when y(-5) is divided by d(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**2 - 82. Let v(j) = -7*j**2 + 180*j. Let a(i) = -28*i**2 + 675*i. Let p(b) = 4*a(b) - 15*v(b). What is g(p(o))?\nAnswer: 245*o**4 - 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 18. Let z be l(20). Suppose 4*p - 7 = -z*d + 17, -5*d = p - 105. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111310 + -3?\nAnswer: 111301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, q: 1, f: 1, o: 4, x: 2, n: 4}. What is prob of picking 2 o and 1 q?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1184235, 41, 4, 2 in decreasing order.\nAnswer: 1184235, 41, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 - 14. Let n = 42 - h. Let s be ((-78)\/(-91))\/(n\/7). Is s bigger than -23\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, -2, -19.19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -29122.7 and 4.2?\nAnswer: 29126.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1046232 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*m + 950828*m**4 - 950825*m**4 + 4*m**2 - 13*m + 28 as c*m**2 + d*m + i*m**4 + u*m**3 + h and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 5*p + 364 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*j + 2 + 0*j)*(8*j**3 + 4*j**3 - 97*j**3) to c*j**2 + x*j**3 + g*j**4 + i + o*j and give g.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 137 + -137. Let t(i) = i**3 + 1901. Is t(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13.11532 decades?\nAnswer: 1573.8384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (66\/7)\/(27\/189) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/(858\/(-1144)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 - (69 - 72)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**5\/21 + 7750*s**4\/21 + 4775684*s**3\/21 + 37833548*s**2 - 1632269442*s\/7 + 2470104234\/7 = 0?\nAnswer: -3159, -361, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7253 + 4244 + 4343)*(0*a + 2*a - 3*a)*(-a**3 - 2*a**3 - 2*a**3).\nAnswer: 6670*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 46 + 205 - 20*g - 41 - 40 - 46.\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 1)*(-286*d - 166*d - 343*d) to h + n*d and give n.\nAnswer: -1590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 280*l + 1. Let o be n(0). Solve -2*a - 3*z = -o - 9, -a = z - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-357)\/5474)\/((-12)\/8)\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 91*d**2 - d + 1. What is the units digit of r(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11068 by -1.\nAnswer: 11068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-85)\/51)\/(-2 - 14\/(-12)). Suppose -3*s = j*h - 1078, -h - 2071 = -4*s - 630. Is s a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89 + 137. Let i = -3093 - -3107. What is the remainder when r is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 8*h + 4. Let i be t(8). Suppose -i*l + 24 = -4. What is the highest common divisor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1202 is divided by 58.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.99562 to 0 dps.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -13*w**2 - 3. Let n(r) = 13*r**2 + 4. Suppose x - 1 = -2*b + 4, -5*x = -2*b - 13. What is x*n(f) + 4*s(f)?\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/4 of a hour?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -16*r + 10. Put -3, -16, r, 1 in ascending order.\nAnswer: -16, -3, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (72\/16)\/((-3)\/(-4)). Suppose -4*t + 46 = w. Suppose -t*m + 7*m + 63 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938152.\nAnswer: 2, 117269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*k - 12. Calculate the remainder when k is divided by (-6 - -4)\/(4\/(-14)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.03 (b) -4 (c) -29 (d) -0.3 (e) -144\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrfr when four letters picked without replacement from rfrrnrvrfvxnrrrxrvwr?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2273596300 rounded to the nearest one hundred thousand?\nAnswer: 2273600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**5\/20 - a**4\/2 + 2*a**2 + a. Suppose 4*d = -0*d + 24. What are the prime factors of w(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 44 - 32)*(4*z + z + 3*z) + 2*z + 2*z - 5*z.\nAnswer: -457*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2275133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*l + 5. Let t be ((-52)\/39)\/(l\/(-3)). Factor -8*q + 2*q**t + 531 - 531.\nAnswer: 2*q*(q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from {w: 1, r: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-130)\/10)\/286)\/((-4)\/40*-5).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 12:01 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 151 - 151.157. Round q to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/8*-2 - 44\/(-4). Calculate the greatest common divisor of 30 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 321 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -7*b + 5*y - 83, -4*y = -b - 29. Put 2, b, 0, 3 in increasing order.\nAnswer: b, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44927757019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58 - 7 - 58 - 43)*(-4 + i**4 + 4).\nAnswer: -166*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 1. Let x(v) = -36114*v**2 + 7*v - 8. Let z(o) = 2*r(o) - x(o). Let i be z(6). Round i to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 38 = -h + 3*r, 156 = -4*h + 4*r. Let w = -28 - h. Solve w = -5*g + g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 259*b - 2655. What is f(10)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*l + 4*d - 12, -3*d + 10 = l. Let p(i) = -i**2 + i + 1. Let f be p(l). Let k be 1\/(-1)*2\/7. What is the second smallest value in 4, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2598, 10385, 23314, 41343, 64430, 92533, 125610, 163619?\n\"Answer: -7*l**3 + 2613*l**2 - 3*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105981 is divided by 192?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 995007 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -944 + 303023\/321. Calculate the common denominator of 74\/33 and j.\nAnswer: 3531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21246*h**3 - 37591*h**2 + 37591*h**2.\nAnswer: 21246*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13193184089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 15) to base 9\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 2. Let k be u(6). Let f be (5 + -7 + 1)\/(13\/(-52)). Let v = k + f. Let t(j) = -j**2 + 2. What is t(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f*z**4 + 18*f*z**3 - 3*f*z**2 - 206*f*z wrt z?\nAnswer: -72*f*z + 108*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 8:02 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 9:06 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109351 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3412.8745 rounded to the nearest ten?\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-36)*(-8 - 4 - -14)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -305*-0.47\nAnswer: 143.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -17. What is the second derivative of 9*o + 2*o - j*o - 6*o**5 wrt o?\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.3, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 18*h**2 + 28*h + 28. Let j be o(-1). What is the second biggest value in -1, j, 2\/13, 1\/9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n - 7*n + 363464 + 0*n - 11*n**3 - 363443 as w*n**2 + b*n**3 + f + l*n and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**2 - 2*q**2 + q**2 + (-2*q + 3*q + 0*q)*(64*q - 58*q - 40*q) in the form l + t*q + p*q**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*c**4*f + 17*c**3*f - 3*c*f - 4*c + 2*f wrt c?\nAnswer: -168*c**2*f + 102*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*l + 10, -8*l = -2*o - 4*l + 4. Calculate the highest common factor of o and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 28252475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 2*p, 3*l - 5*p + 10*p - 21 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -256, -259, -266, -277?\n\"Answer: -2*t**2 + 3*t - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (110\/15)\/(-2 - 204\/(-99)). Is 121 not equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1200181 or -1200185?\nAnswer: -1200185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 0*v**3 + 0 + 0*v - 1\/24*v**4 + 2*v**2. Suppose -2*f - 1 = 1. Let k(z) = z**2 - 6*z - 1. Calculate f*k(n) + 5*u(n).\nAnswer: -n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-1)*(28\/(-4))\/(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184870, 184876, 184880, 184882?\nAnswer: 184882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*m = -451 - 69 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -1 + 7*h**2 - 1 + 3*h - 1. Let l(p) = p - 6. Let x be l(3). Is s(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212876 divided by -212876?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2) + -7 + -4 + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 19. Suppose -5*l = 14 - w. Are l and 11\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8204\/1013 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -46475 - -5b7?\nAnswer: -45ebe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.9602 + -0.4398. Which is the nearest to -1? (a) r (b) 0.1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 16071324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08726 minus 0.9492?\nAnswer: -0.86194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -33, -95, -213, -405, -689?\nAnswer: -1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -103\/5. Let q = -3.42 - -3.37. Sort x, q, -1\/5.\nAnswer: x, -1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 10:47 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 82 - 13 = 0. Calculate the highest common factor of l and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4740 - 4740. Solve -f - 2*f + 6 = b, 12 = 4*g - 2*f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/3 - (-264)\/36 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suus. Give prob of sequence us.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**3 + 10*c - 12*c**3 + 14*c**3 + 1 + 3 + 8*c**2. Let i be x(9). Calculate the highest common divisor of 351 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -367269, -367255, -367233, -367203, -367165, -367119, -367065?\nAnswer: -367003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -803 + 1135. Suppose 0 = 2*f + 5*k - 762, -4*f - k = -5*k - 1496. Suppose -f = -4*a + o. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16881523, 16881519, 16881513, 16881505, 16881495, 16881483, 16881469?\nAnswer: 16881453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 y when three letters picked without replacement from {y: 5, r: 8}?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (15 + 1)) + 9 - (-6 - 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059.21 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aai when three letters picked without replacement from {a: 15, i: 5}?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20f (base 16) in base 6?\nAnswer: -2235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*r - 7*r + 0*r)*(-2 - 5 + 4).\nAnswer: 60*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 802487727?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4 = 2*n. What are the prime factors of n*1\/((-3)\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {z: 1, l: 1, k: 2, m: 3, h: 2, d: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -y + 14, y + 4*l - 17 + 5 = 0. Suppose y*p = 23 + 77. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2 - 5 = -u, 5*u - 22 = 2*d. Let h be d*(-5 - -8) + 95. Let z = -71 + h. Calculate the remainder when z is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -15*t**3 - t**2 - t. Let o be c(-1). Let f be 8\/(-56) + o\/7. Solve -3*b = -4*y - 9, -y - f - 13 = -5*b for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 3 = -3*x, -10*n - 502*x + 2 = -500*x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 537 - 537 + 2*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.585017 to one decimal place.\nAnswer: 28.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-208)\/24 - 1\/3. Let j be 6\/9 + (-282)\/d. Suppose -24 - j = -8*n. Calculate the least common multiple of 27 and n.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 6.518, 1\/13, -2, -61?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -1.8\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 15*o**5 + 365*o**4 + 1370*o**3 + 1380*o**2 - 440*o - 800 = 0.\nAnswer: -20, -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**5 - d**5 + d**5 + (-6*d + 9 - 9)*(-3*d**3 + 5*d**3 + 0*d**3)*(-3*d + d + 3*d).\nAnswer: -15*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 3. Let c be t(-3). Suppose 3*l + 0*l - 3 = c. Factor -1 + l - 3*i**2 + i**4 + 2*i.\nAnswer: i*(i - 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -3. Suppose 0 = -v*s - 6, 0 = -7*o + 3*o + 5*s + 38. What is the remainder when 20 - ((10 - 6) + -11) is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23236341.\nAnswer: 3, 7745447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 685 + -694. Put o, 5, 1 in ascending order.\nAnswer: o, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 892346, -2\/5 in decreasing order.\nAnswer: 892346, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m - 125. Let s be k(42). Is s bigger than -60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 10728.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4517.\nAnswer: 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 4*b + b**2)*(2*b**2 - 2*b**2 + 2*b**2)*(90*b + 2 - 123*b - 175*b).\nAnswer: -416*b**5 + 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 5*d**2 + d - 8. Let i = 124 - 69. Suppose 6*b - 5*r = b - i, -r = -5*b - 35. Let w be u(b). Round w to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 5, 0.4, -1\/19 in decreasing order.\nAnswer: 5, 0.4, -1\/19, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -863 divided by 30\nAnswer: -863\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 - 23 - 48 - 11 in the form o + t*b + x*b**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 5*i**2 + 12*i - 8. Let b be a(-7). Let u(y) = -5*y + b*y - 3*y. Let c(r) = 28*r**2. Determine u(c(m)).\nAnswer: -56*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1683*s**2 + 18*s - 42. Let c(r) = 843*r**2 - 8*r + 19. Give 4*b(l) + 9*c(l).\nAnswer: 855*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/d**(13\/3)))\/d*d**8 assuming d is positive.\nAnswer: d**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 61 and 23.56.\nAnswer: 1437.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 244774530 and 78650.\nAnswer: 1223872650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52024116*d**2 + d + 6953016 wrt d.\nAnswer: -104048232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -221, -526, -985, -1616, -2437?\nAnswer: -3466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -7*t**2 - t**2 + 3*t**2 + 7*t**2. Suppose 4 = 3*l + 2*o, 5*l + 16 = 5*o + 56. Let n(d) = -l + 4 - 4*d**2 - 2*d**2. What is k(n(i))?\nAnswer: 72*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -478792*m - 594442?\nAnswer: -478792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**2 + r**3 - 10067 + 10132 + 3*r**2 to h*r**2 + x*r**3 + f + y*r and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 482 + 5515. Suppose 0 = 6*k + z - x, 2*k - 2*z - 1997 = -3*z. Is k a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1411498 divided by 3\nAnswer: -1411498\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 43744.17 millennia in months?\nAnswer: 524930040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-33))\/((-21)\/((-1848)\/368))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009027 rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 6:00 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/609104 and -89\/1751174.\nAnswer: 14009392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23635 is divided by 11448?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 8268*s + 7311. Let t(f) = 106. Let j(d) = 2*t(d) + u(d). Differentiate j(g) wrt g.\nAnswer: 8268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 1\/3877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -19 (b) -1\/3 (c) 0.36 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - (-42993)\/(-1870))\/(1\/(-4)*2).\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d = n - 17, -3*d - 18 = n. Let t = 205 - 2667\/13. What is the second smallest value in -0.4, t, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 890.9215 centuries to months.\nAnswer: 1069105.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - -0.3. Let a be 3\/(-4) - 2\/(-2). Is r greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrrkrrkkrrrk. What is prob of picking 2 r?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4704 divided by -4\nAnswer: -1176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6)*4\/((-24)\/(-81)). Solve -d + 0 = 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 14.2647 and -7296095.\nAnswer: -7296080.7353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.15591 to 2 decimal places.\nAnswer: -6.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 104869657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*i - 4*y, 3 = 2*i + 3*y + 1. Suppose 31 = 4*b + 3*x, -22 = -3*b - 5*x - i. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 58\/3, -46, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u + 46 = -6. Solve -3*a + u*t = 9, 0 = -5*a + 2*t - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -209, -312, -467, -680, -957, -1304?\nAnswer: -1727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -206+61529740319.7\nAnswer: 61529740113.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11132061?\nAnswer: 3, 59, 109, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 394\/(-4) - (-385)\/(-1980)*-18?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/3)\/(7\/77). Let f(v) = -11*v. Let b be f(-2). Calculate the greatest common factor of q and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6990 and 5160018.\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*j - 2044, 2*j + 5088 = 4*i + i. What is the tens digit of (i\/14 - 2) + 15\/35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**4\/5 + 156*d**3\/5 + 1848*d**2\/5 + 4864*d\/5 - 18432\/5 = 0.\nAnswer: -16, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -9*g**2 + 44*g + 223. What is c(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -223*l. Let i(j) = -966999*j + 1. What is p(i(t))?\nAnswer: 215640777*t - 223","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 + 1. Let h be z(-1). Suppose 3*s + 24 = 3*r - 0*s, 4*r + h = -5*s. Suppose 5*b + 1 = -4, 28 = r*t + 4*b. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 4*n - 3 - 5*n + 3*n**2 to z*n**2 + l + q*n and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114158080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 2:16 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -228*r - 114*r - 5831 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**4 - 60*q**3 - 1370*q**2 - 6060*q - 7875 = 0 for q.\nAnswer: -7, -3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4341 + 17363\/4. Let j = 10 - 7. Sort -0.4, 0.14, j, c.\nAnswer: -0.4, c, 0.14, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7270 and 120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0364754424 to four decimal places.\nAnswer: 0.0365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/(-4))\/(4\/(-16)). Suppose g + b = -4*g. Let o(y) be the first derivative of 3*y**2 - 8. What is o(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 n when four letters picked without replacement from {h: 14, n: 4}.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -18062 (base 9) to base 4\nAnswer: -3002201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(637))**2 + (sqrt(78) + sqrt(78)*-1)\/sqrt(6).\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 9 + 42 = 10*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 66, -3, 2?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3333 and 295011.\nAnswer: 327757221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*n**2 - 33 + 33 + (2 - 1 + 0)*(-2*n**2 - 3*n**2 - 6*n**2).\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3002?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41506*f**3 + 3*f - 50652 wrt f?\nAnswer: 124518*f**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -3. Let c(n) = -2*n**3 - n**2 + n + 1. Let b be c(-1). Calculate the remainder when h is divided by -2*2*b\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a**2 - 177*a - 90. Let g(u) = -u**2 + 30. Let c(s) = -3*g(s) - h(s). Determine q, given that c(q) = 0.\nAnswer: 0, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1240 and 4185.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -167\/5. Let q(t) = -t**3 + 7*t**2 - 5*t - 8. Let o be q(6). Let l be (-1 + 2 + o)\/4. What is the nearest to z in 4\/9, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 310\/93*24\/10. Find the third derivative of -80*i**2 + 5*i**5 + 17*i**2 - g*i**5 - 23*i**5 wrt i.\nAnswer: -1560*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4210 (base 5) to base 9\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*a - 7. Suppose -5*z + 5*i - 11 = -6*z, -5*i + 10 = 0. Sort a, z, 3 in ascending order.\nAnswer: z, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36750.5nm to kilometers.\nAnswer: 0.0000000367505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1031 (base 4) to base 13.\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2895 and 0.6.\nAnswer: 1737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11403.1 * -0.1\nAnswer: -1140.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 211*l + 3. Let p(o) = -206*o - 2. Determine -4*p(w) - 3*q(w).\nAnswer: 191*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 34 - 4*j**3 + 1\/4*j**4 - 27*j + 23\/2*j**2. Does 15 divide z(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 3*x - 3. Let j(v) = -v**2 - 2*v + 1. Let a be j(-2). Let c = a + -6. Calculate the remainder when 27 is divided by o(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/7 + 28956*q**3\/7.\nAnswer: 2*q**3*(q + 14478)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n**3 + 5*n**3 + 26*n**3 + (-3 + 1 + 0)*(-3*n**3 + 5*n**3 - n**3) - 3*n**3 - n**3 + 2*n**3 to the form s + i*n**3 + w*n + u*n**2 and give i.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17555, -17606, -17751, -18038, -18515, -19230, -20231, -21566?\n\"Answer: -8*i**3 + i**2 + 2*i - 17550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 174060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -1, 2, -5 in descending order.\nAnswer: 15, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.028065 - -0.028030841. What is y rounded to seven decimal places?\nAnswer: -0.0000342","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21114 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/1648 and 71\/1648.\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-91)*-2*-4*(-1)\/32.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 13 = -10*f - 5*s, 3*s = -6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 780676*w**3 - w**2 - 2*w - 18213775 wrt w.\nAnswer: 2342028*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 137153 - 24229. Suppose -5*u - 635385 = j - 6*j, 0 = 2*j - 3*u - 254155. Suppose -r = 3*d + j. Round d to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1362*j**5 + j**4 - 2160*j**3 - 40612674*j**2?\nAnswer: 81720*j**2 + 24*j - 12960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -11. Suppose -37 = -p*h + 11. Suppose -5*m = -3*a - 24, -2*m + 8 + h = 4*a. Solve 2*o - m*o - 20 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 14*x**2 - 10 - 7 + 35 - 31*x - 10 + x**3. What is v(-16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 919850364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, 5, 14, 1\/5, 0.463, 232?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(810) - (-2*sqrt(810) - sqrt(810)) - sqrt(10))*3 - (1 + sqrt(245)*-3 + 0).\nAnswer: -1 + 738*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.40064l to millilitres.\nAnswer: 70400.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2725427955.\nAnswer: 3, 5, 37, 4910681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.87 + 0.7. Let p = d + 10.17. Let i = p - 9.9. Which is the nearest to -1? (a) i (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11724.\nAnswer: 2, 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -143, 0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -668*k**2 - 16*k + 67. Let g(h) = 2*h**2 - h + 5. Give 14*g(i) - s(i).\nAnswer: 696*i**2 + 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 22 + 14 = 0. Suppose 0 = -4*r - n + 49. Suppose -4*v - 2*y + 10 = -3*v, -y = -5. Solve r = -2*w - v*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 123794, 7 in descending order.\nAnswer: 123794, 7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 749381*p**3 - 12903*p**2 - 17 wrt p?\nAnswer: 4496286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 287\/6 + -48. Let o = 131 + -366. Let y = -3057\/13 - o. Which is the biggest value? (a) -0.3 (b) i (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 p when four letters picked without replacement from {m: 7, p: 12}.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37326 at most 37329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a**3 + 151*a**2 - 374*a - 63. Give v(21).\nAnswer: 3108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4451682 divided by 83994.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97016 and 112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98 - -102. Sort h, 2, -0.02.\nAnswer: -0.02, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = -25 + 89. Suppose r*d + 172 = 4*d. What is the units digit of 21\/(-7) - (-1 + d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 408\/(-3740)*8\/((-96)\/30)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/23)*n**(-5\/7))\/(n**0)**(-34))**16 assuming n is positive.\nAnswer: n**(960\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-6))\/(148\/24 + -6). Let r be w*(-12 + 3)\/3 - 4. What is the closest to -0.1 in 2\/9, r, -3\/7, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 c when three letters picked without replacement from {o: 2, l: 1, c: 4, n: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*y + 33 = -0*y, -3*h + 3*y + 33 = 0. Let s = h - 5. Find the second derivative of 2*i + s*i - i**3 - 3*i wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/((-180)\/(-1071))*(-38)\/665*-10?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*c + 108 = -22*c + 202. Which is greater: -64\/983 or c?\nAnswer: -64\/983","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a + 27. Let n(l) = -4*l**2 - 3*l**2 + 8*l**2 - 3*l**2. Calculate q(n(j)).\nAnswer: -6*j**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9594.8242 - 9597. What is d rounded to one decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -94 + 95. Let k = 14 - n. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-10 + 9 + 9)) + 6 + -46\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.7+-28256\nAnswer: -28254.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5 - 9 + 5*p + 11 - 4*p. Let j be z(-4). Let t = j + 10. Solve t*h + 5 = -2*b + 2, -h + 3*b = 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20306 - -3?\nAnswer: 20310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12573.\nAnswer: 3, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/2 and -5 + (-50)\/(-20)*166\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9343.877ml to litres.\nAnswer: 9.343877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 28 = k, -4*k - 2*f + 20 = -4. Solve -2*x - 2*x + k = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6949?\nAnswer: 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107430235 is divided by 3961?\nAnswer: 3954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (8\/6)\/(36\/((-270)\/15))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 18, 0.1, -0.019?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 112307\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 78373999?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692 is divided by 151.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (18\/135)\/((-49104)\/(-570)) and -25\/18.\nAnswer: 12276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -10*t - 3. Let m(k) = -3*k - 1. Let b(a) = 7*m(a) - 2*w(a). Calculate b(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q - 15. Let r(a) = -a**3 - a - 1. Let p(c) = -15*r(c) + s(c). Find the second derivative of p(d) wrt d.\nAnswer: 90*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-7)*6\/(72\/(-28)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/5 + 4664*j\/5 - 1826664\/5 = 0. Calculate j.\nAnswer: 498, 1834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmrm when four letters picked without replacement from {m: 5, r: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 3*69\/(-9). Calculate the highest common divisor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-1 + 1)\/3. Find the common denominator of l\/(-6)*(-81)\/4 and -8\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 - 1221*w**2 - 6*w + 1222*w**2 - 23*w**4 + 24*w**4 - 1 to i*w**4 + n*w + h*w**3 + k + y*w**2 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1006*s + 3240 = 153*s - 227*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59949?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*b + 458 = 1818 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -18*(-1)\/2 - 3. Solve -x*z = -z - 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4364 - -4375) + -13 + (-1 - -2) - -71.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s - s + 0*s + (4 + 0 - 1)*(0*s + s + s))*(7*s - 20 + 20)*(-21 + 1 - 2) to k*s**2 + u*s + l and give k.\nAnswer: -1232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/30 + (-7)\/5. Sort 4, p, -6.\nAnswer: -6, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*t - 7*t - 1645. What are the prime factors of t?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 43 = -2*d, -a = -5*d - 0*a + 106. Calculate the remainder when d is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -4\/5 (c) 2\/113 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**4\/4 - 5*z**3\/4 - 9*z**2\/4 - 7*z\/4 - 1\/2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(3\/4))**(-1\/16))**9 assuming w is positive.\nAnswer: w**(-9\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8262 and 9699.201.\nAnswer: 1437.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -37. Suppose 0 = -25*h + k*h. Suppose 3*f + 32 - 6 = 2*p, h = 2*p - 4*f - 22. Calculate the remainder when 111 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(77) - -2*((-2*sqrt(77) - sqrt(77)) + sqrt(77)))\/(-1*(sqrt(99)*-2 - sqrt(99))).\nAnswer: -2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -82\/7, 1, 2 in ascending order.\nAnswer: -82\/7, -0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1781 * -2\nAnswer: -3562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 794439 is divided by 29?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1858, 7246, 16228, 28804, 44974, 64738?\n\"Answer: 1797*s**2 - 3*s + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 - i**2 + 115171*i - 9*i**2 - 115171*i + 5*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/2 - 3141*w**3\/2 - 3288627*w**2\/2 - 1147730823*w\/2.\nAnswer: -w*(w + 1047)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 256, 1465, 3480, 6301, 9928?\nAnswer: 14361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -925*i + 3105 + 1520 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/4 + 3*c**3\/4 - c**2\/4 - 3*c\/4 + 1\/2.\nAnswer: -(c - 2)*(c - 1)**2*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/56 and 29\/168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + (15 - (9 - 9 - -4)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/9512 and -8\/6403.\nAnswer: 60905336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1647 or -1648?\nAnswer: -1648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 + 73. Factor -9*k**u - 25*k**4 + 8*k**4 + 11*k**4 - 6*k + 9*k**4.\nAnswer: 3*k*(k - 2)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 142 + -152. Is 14 a factor of 982\/10 + (1 + 1)\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b + 3. Let o(w) = -2335*w**2 + 21015*w + 21015. Give 2*o(p) - 14010*y(p).\nAnswer: -4670*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1. Suppose 4*k + y - 18 = -2*y, 0 = 5*y + 10. Let u be (5\/(-15) - -1)*(-36)\/k. Sort p, u, -1 in decreasing order.\nAnswer: p, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**2 - 1. Let j(r) = r - 10. Let t(y) = -y + 4. Let a be t(-4). Let u be j(a). Is q(u) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3049703?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -26, -61, -116, -197, -310?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12504015 - -34104015. What is z rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d - 4*d**2 + 27*d**2 + 4*d to the form n*d + x*d**2 + r and give x.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*w - 5661 = -251, -2*i + 4*w = -2176. What are the prime factors of i?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g = -54. What is the greatest common divisor of g and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1371, -1128, -885, -642, -399, -156?\n\"Answer: 243*j - 1614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1110101 (base 2) to base 15\nAnswer: -7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + 5*(sqrt(1100) + -1))**2 + 2*sqrt(275)*2)*4.\nAnswer: -2320*sqrt(11) + 158500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-270)\/315 + (3\/(-63))\/((-5)\/405). Determine i so that -i + 0 - 11*i**q + 19\/3*i**2 + 3*i**4 = 0.\nAnswer: 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 + 66 = 21*h + 19 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*y**2 + 130*y**2 + 92*y**2 - 184*y**2 + 2*y - y.\nAnswer: 131*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35904 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7\/(-10))\/7 - 1539\/(-90). What is the highest common divisor of n and 561?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -28. Let n be 8\/(-12) + (40\/t - 0). Put n, -4\/7, -0.3 in descending order.\nAnswer: -0.3, -4\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrr when three letters picked without replacement from rzrhrohrror.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -4*g**4 + 208*g**3 = 0.\nAnswer: 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + g + 31 = -g, -4*q - g - 23 = 0. Let m be (-6)\/8*q*476\/(-42). Let d = 44 + m. What is the smallest value in 5, 0.3, d, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1388 - 11015\/8. Suppose -k + 2*k - 18 = 4*s, 3*s + 6 = 0. Calculate the common denominator of f and 7\/76*(4 + k).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/5 in -1\/4, -1, 80424, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, r: 9}. Give prob of picking 3 r.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((116\/203)\/(36\/378))\/(6\/(-44))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-4) + 0 - -4. What is the second smallest value in -3, a, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 * -17.\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292 - 288 - 2*v - 6*v.\nAnswer: -8*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56 - -101) + 1 + -41?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 + 71*g + 1268. Give u(-23).\nAnswer: 1222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -917, -3546, -7675, -13100, -19617, -27022, -35111, -43680?\nAnswer: -52525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, 57, 252, 641, 1290?\nAnswer: 2265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2 (b) 4\/3 (c) -0.5 (d) 157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1943 and 13266.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.565 + 0.165. Is f less than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5.9 and 102.\nAnswer: 96.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l - 2*a + 8 = 0, 5*a = 15. Is ((-6)\/18)\/(13906\/6954 + l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -8. Let h be ((-51)\/(-6))\/(49\/(-9)). Let d = 3\/49 + h. Which is the smallest value? (a) 1 (b) d (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 9) + -10 - 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98178?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9088 = 15*t - 10*t + c, 3*t - 5457 = -2*c. What are the prime factors of t?\nAnswer: 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2489 = -415*w + 225*w - 1311 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 13 + 8*i - 17.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -121 + 181. Let k be (9\/h)\/((-21)\/14). Which is bigger: k or -6\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/17, 5962 in decreasing order.\nAnswer: 5962, -2\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b - 3*b - 3*b)*(4*b**2 - 5*b**2 + 3*b**2) - 34*b**2 + 6*b**3 + 34*b**2 - b**3 + 0*b**3 + 4*b**3 + (0*b**2 + 2*b**2 - 4*b**2)*(b - 6*b + 3*b).\nAnswer: 17*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -5 + -3 + 16\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6579 - 6579.3. Which is the second biggest value? (a) z (b) -2\/19 (c) 2 (d) -0.2 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*b = 34*b - 24. Let i be 10\/(-40)*2\/b*0. Put i, -12, -1\/4 in descending order.\nAnswer: i, -1\/4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2112, -2117, -2124, -2133, -2144, -2157?\nAnswer: -2172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -515012*-0.5.\nAnswer: 257506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 9*x + 2. Let j be t(-6). Let m = -14 + j. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -943, -674, -409, -148, 109, 362, 611?\nAnswer: 856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.048*5.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36244955?\nAnswer: 5, 7248991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v. Let b be z(-14). Let h = 32 - b. Solve w + w = h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 q when four letters picked without replacement from {k: 3, q: 4, u: 7}.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 166*o**3 - 112215*o**2 + 4419572*o + 26628 = 0.\nAnswer: -1\/166, 42, 634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.547137m in centimeters?\nAnswer: 254.7137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 9*z + 121. Determine n(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 25. Let p be (-2)\/k + (-64)\/(-12). Solve v = p*v - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -495, -0.5 in increasing order.\nAnswer: -495, -0.5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*t**2 - 2*t**2 - 13*t**2 - 14*t**2 - 12 in the form d*t**2 + s*t + k and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 + (23 - 6 - (159 - 179)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -100133033 (base 4) in base 10?\nAnswer: -67535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r + 6. Let v(d) = -14*d + 16. Let b(z) = -13*z + 15. Let a(t) = -5*b(t) + 4*v(t). Let p(n) = -6*a(n) - 11*c(n). Let l(u) = -7*u. What is l(p(s))?\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -b95027 (base 12) to base 11\nAnswer: -1723211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*-2 + sqrt(396))**2 + 2.\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/5 + 1364*d**2\/5 + 262912*d\/5 + 1997120.\nAnswer: 2*(d + 50)*(d + 316)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -16*w**3 - 12130*w**2 + 10628*w + 1518 = 0?\nAnswer: -759, -1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2832.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2724859 is divided by 820?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**7\/126 - j**6\/90 + j**5\/60 + j**4\/36 + 11*j - 2. Let p(c) = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23b320 (base 16) in base 14?\nAnswer: -44c8b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000064544571 to 6 dps.\nAnswer: -0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*z + 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 x, and 1 a when three letters picked without replacement from xgtxrarxixat?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6\/11 + 64\/77. Let s = -22 - -20.9. Let o = s + 1. Which is the closest to 0? (a) o (b) 0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -670841, -670834, -670827, -670820?\nAnswer: -670813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 5*c + 4. Let a be p(4). Suppose 4*k + k - 515 = a. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a*a**(1\/10)*a)**(12\/7) assuming a is positive.\nAnswer: a**(306\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*o + 15. Let l = -4.01 + 4. Let h = -1.01 - l. What is the second biggest value in o, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2288 - -2880. Calculate the least common multiple of u and 222.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 2, e: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 3, -7.\nAnswer: -7, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 2*n, 2*r - 6 = r + n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5 - 15. Suppose -s*z - 10 = -38. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -4*q + 15, -43 = 4*g - 5*q. Is g at most -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 640488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 12*j + 19. Let p be v(-9). Let k be (-5 - 0)*p\/(-260). Suppose 0*s + 25 = -5*s. What is the second smallest value in s, k, 1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*k + 5136732 + 1325063 = 0. List the prime factors of k.\nAnswer: 47, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 14*j + 18. Let x be q(-16). Let h be 7\/x - (-3)\/(-2). Which is the third smallest value? (a) h (b) -0.7 (c) 0.3 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20638*x**3 - 1725 - 2581 - 15631*x**3 wrt x?\nAnswer: 15021*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -422 - 2.1664?\nAnswer: -424.1664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**5\/40 - s**4\/4 + 5*s**3\/4 - 2*s**2 - 400*s. Find o, given that i(o) = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5718791 decades in centuries?\nAnswer: 0.05718791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 726 + 646 = -34*n + 1508. Put -3, -39, n in decreasing order.\nAnswer: n, -3, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1407935*y + 2*y**2 - 1407867*y + 2815802*y.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/15))\/(i\/i**(3\/7)))**5*(i**(-8)*i**(-3))**49 assuming i is positive.\nAnswer: i**(-11288\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -256.715 + -0.285. Let s = r + 256.8. Which is the closest to -0.1? (a) 12 (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -670 - 4285?\nAnswer: -4945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 3*n - 6. Let x be s(-8). Let p = 50 + x. Suppose -p*z - 5*z = -459. List the prime factors of z.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0 (b) -5 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*h**5*t**3 + 120*h**4*t**3 - 79*h*t + 5*t**3 wrt h.\nAnswer: 80*h**3*t**3 + 1440*h**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -477\/22280 - 2\/557. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 35.207, 4\/5, -1\/3, -15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 167309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1983\/2338 + -3\/334. Suppose 5*f + 8 = -2. What is the fourth biggest value in f, -5, 0.1, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 8*f**2 - 2*f. Let y be c(9). Let d = y + -36. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 97*t - 75*t + 1276. Sort 1, t, -4 in decreasing order.\nAnswer: 1, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 + -77.7. Which is the second biggest value? (a) -3 (b) w (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*q**2 + q - 28 - q**2 + 28 as v + t*q + s*q**2 and give s.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 170 - -19b447?\nAnswer: 19b5b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1782 + -1778. Let b(u) be the third derivative of 0*u + 1\/3*u**n - 13\/6*u**3 + 8*u**2 + 0. Differentiate b(v) wrt v.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 429.74 millennia?\nAnswer: 4297.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*t**2 + 60*t**2 - 24*t**2 - 13*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - 1. Let l(h) = -h**3 - 7*h**2 + 2. Calculate l(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -25*n + 1. What is the tens digit of i(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*s - 270*s - 179*s - 187*s + 1006*s - 179*s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43 - 25 - (3 - -1)) + 0 + 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 6:23 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*c - 417358 - 132627, -4*d = -3*c + 329991. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -608 times -6?\nAnswer: 3648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*m - 104, -2*q + 169 = q + m. Suppose l - 24 + 6 = -p, 3*p = -4*l + q. Let j = -7 - -40. What is the smallest common multiple of j and p?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 480.0588 - 0.0588. Let u = q - 480.2. What is the nearest to u in 1\/3, 14, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -78*a + 6. Suppose -6*h + 5 = 29. Is 31 a factor of b(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f. Let o(n) = 3*n - 5. Determine b(o(m)).\nAnswer: 12*m - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2049.\nAnswer: 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 10 = -3*u, -3*u + 2*u - 2 = -m. Let w be (-92)\/(-24) + 2\/12. Put u, 5, 3, w in increasing order.\nAnswer: u, 3, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}